Bliksem---1.12.UNS-Ref.s

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV330-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n014.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 16:24:07 EDT 2022

% Result   : Unsatisfiable 3.35s 3.71s
% Output   : Refutation 3.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV330-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Wed Jun 15 05:45:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.27/1.65  *** allocated 10000 integers for termspace/termends
% 1.27/1.65  *** allocated 10000 integers for clauses
% 1.27/1.65  *** allocated 10000 integers for justifications
% 1.27/1.65  *** allocated 15000 integers for termspace/termends
% 1.27/1.65  *** allocated 22500 integers for termspace/termends
% 1.27/1.65  *** allocated 33750 integers for termspace/termends
% 1.27/1.65  *** allocated 50625 integers for termspace/termends
% 1.27/1.65  Bliksem 1.12
% 1.27/1.65  
% 1.27/1.65  
% 1.27/1.65  Automatic Strategy Selection
% 1.27/1.65  
% 1.27/1.65  Clauses:
% 1.27/1.65  [
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.27/1.65    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 1.27/1.65    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 1.27/1.65    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 1.27/1.65    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.27/1.65     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.27/1.65     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.27/1.65    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.27/1.65    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.27/1.65    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 1.27/1.65    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.27/1.65     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.27/1.65    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.27/1.65    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.27/1.65    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.27/1.65    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.27/1.65     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.27/1.65    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.27/1.65    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.27/1.65    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.27/1.65    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.27/1.65     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.27/1.65    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 1.27/1.65    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'( 
% 1.27/1.65    Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'( 
% 1.27/1.65    Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.27/1.65    , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.27/1.65    , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 1.27/1.65    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'( 
% 1.27/1.65    Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 1.27/1.65    X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 1.27/1.65    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 1.27/1.65    X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 1.27/1.65    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), 
% 1.27/1.65    'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.27/1.65    , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.27/1.65    , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 
% 1.27/1.65    'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.27/1.65    'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.27/1.65    'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.27/1.65    'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.27/1.65    , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'( 
% 1.27/1.65    'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.27/1.65    , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.27/1.65    , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.27/1.65    , 'tc_set'( Y ) ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.27/1.65     ) ), X, 'tc_nat' ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.27/1.65     ) ), Y, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ), 
% 1.27/1.65    ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.27/1.65     [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.27/1.65    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.27/1.65     [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 1.27/1.65    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 1.27/1.65    'tc_IntDef_Oint' ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ), 
% 1.27/1.65    'tc_IntDef_Oint' ) ],
% 1.27/1.65     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.27/1.65    , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.27/1.65     [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 1.27/1.65    'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.27/1.65     [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'( 
% 1.27/1.65    'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y, 
% 1.27/1.65    'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.27/1.65     [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 1.27/1.65    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.27/1.65    'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.27/1.65    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.27/1.65    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 1.27/1.65    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 1.27/1.65    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.27/1.65    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.27/1.65    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.27/1.65    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 1.27/1.65    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.27/1.65    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.27/1.65    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.27/1.65    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.27/1.65    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 1.27/1.65    'tc_prod'( Z, Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.27/1.65    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.27/1.65    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 1.27/1.65    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 1.27/1.65    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.27/1.65    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.27/1.65    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.27/1.65    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 1.27/1.65    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.27/1.65    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.27/1.65    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.27/1.65    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.27/1.65    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 1.27/1.65    'tc_prod'( T, T ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.27/1.65    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 1.27/1.65    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.27/1.65    'c_List_Olist_ONil' ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.27/1.65    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 1.27/1.65    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.27/1.65    'c_List_Olist_ONil' ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.27/1.65    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 1.27/1.65    'tc_List_Olist'( Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.27/1.65    'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.27/1.65     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 
% 1.27/1.65    'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ), 
% 1.27/1.65    'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'( 
% 1.27/1.65    Y ) ) ],
% 1.27/1.65     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.27/1.65    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 1.27/1.65    Y ) ) ],
% 1.27/1.65     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.27/1.65    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.27/1.65     [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.27/1.65    , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'( 
% 1.27/1.65    'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 1.27/1.65    'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 1.27/1.65    'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'( 
% 1.27/1.65    T, U ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W, 
% 1.27/1.65    'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'( 
% 1.27/1.65    'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.27/1.65    , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.27/1.65    , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ), 
% 1.27/1.65    'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.27/1.65    , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ), 
% 1.27/1.65    'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.27/1.65    , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.27/1.65    , Z, Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), 
% 1.27/1.65    'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.27/1.65     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 1.27/1.65    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.27/1.65    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), 
% 1.27/1.65    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.27/1.65    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 1.27/1.65    'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.27/1.65    U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 1.27/1.65    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 1.27/1.65    'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.27/1.65    , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0, 
% 1.27/1.65    T ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.27/1.65    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y, 
% 1.27/1.65    Z ), Y, 'tc_set'( Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 1.27/1.65    'c_Inter'( Y, Z ), Z ) ],
% 1.27/1.65     [ 'c_in'( X, 'c_UNIV', Y ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 1.27/1.65    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'( 
% 1.27/1.65    X, Y, Z ), Z ) ],
% 1.27/1.65     [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 1.27/1.65     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 1.27/1.65    'tc_set'( Z ) ) ) ],
% 1.27/1.65     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'( 
% 1.27/1.65    Z ) ) ],
% 1.27/1.65     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'( 
% 1.27/1.65    Z ) ), =( X, Y ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 1.27/1.65     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 1.27/1.65     ) ) ), =( X, Z ) ],
% 1.27/1.65     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 1.27/1.65    'c_in'( X, T, Z ) ],
% 1.27/1.65     [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.27/1.65    , 'tc_set'( Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'( 
% 1.27/1.65    X, Y, 'tc_set'( Z ) ) ],
% 1.27/1.65     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 1.27/1.65    'tc_set'( Z ) ) ), =( Y, X ) ],
% 1.27/1.65     [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ), 
% 1.27/1.65    'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ), 
% 1.27/1.65    'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.27/1.65    , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ), 
% 1.27/1.65    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.27/1.65    , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X, 
% 1.27/1.65    'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.27/1.65    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X, 
% 1.27/1.65    'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.27/1.65    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'( 
% 1.27/1.65    'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 1.27/1.65     [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 1.27/1.65    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.27/1.65     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.27/1.65     ), 'tc_prod'( Y, Y ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 1.27/1.65    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
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% 1.27/1.65    ,
% 1.27/1.65     [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
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% 1.27/1.65     [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 1.27/1.65     [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
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% 1.27/1.65     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.27/1.65     [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
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% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_LOrder_Olorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_HOL_Ominus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_LOrder_Olorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_HOL_Ominus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_LOrder_Olorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_HOL_Ominus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_LOrder_Olorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_HOL_Ominus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_LOrder_Olorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_Orderings_Olinorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_HOL_Ominus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.27/1.65    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.27/1.65    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.27/1.65    'class_HOL_Oone'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.27/1.65    'class_HOL_Ominus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'( 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
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% 1.27/1.65    'class_HOL_Ozero'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'class_HOL_Oone'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
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% 1.27/1.65    'class_HOL_Ozero'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Omonoid__mult'( X ) ],
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% 1.27/1.65    'class_HOL_Oone'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.27/1.65    'class_HOL_Ozero'( X ) ],
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% 1.27/1.65    'class_HOL_Oinverse'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.27/1.65    ,
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% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
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% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
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% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'( 
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% 1.27/1.65    'class_OrderedGroup_Olordered__ab__group'( X ) ],
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'( 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Oidom'( X ) ],
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% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_HOL_Ominus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
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% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Oone'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Otimes'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Ozero'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_HOL_Oplus'( X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.27/1.65    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.27/1.65     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.27/1.65    'class_Orderings_Oord'( X ) ],
% 1.27/1.65     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.27/1.65    'class_Orderings_Oorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.27/1.65    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.27/1.65    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.27/1.65    'class_LOrder_Olorder'( X ) ],
% 1.27/1.65     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.27/1.65    'class_Orderings_Olinorder'( X ) ],
% 1.27/1.65     [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' ) ],
% 1.27/1.65     [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ],
% 1.27/1.65     [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 'c_plus'( 
% 1.27/1.65    'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 'c_Suc'( Y ) )
% 1.27/1.65    , 'tc_nat' ) ) ],
% 1.27/1.65     [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X ) ) ],
% 1.27/1.65     [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ],
% 1.27/1.65     [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 1.27/1.65    'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.27/1.65     [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.27/1.65    , Y ) ],
% 1.27/1.65     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 1.27/1.65    'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ],
% 1.27/1.65     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 1.27/1.65    'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ],
% 1.27/1.65     [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), 
% 1.27/1.65    'c_insert'( X, 'c_emptyset', Y ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X, 
% 1.27/1.65    'c_Datatype_Ooption_ONone' ) ],
% 1.27/1.65     [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 'c_emptyset' )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'( 
% 1.27/1.65    Z, Y ) ) ), =( X, Z ) ],
% 1.27/1.65     [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 'tc_Datatype_Ooption'( X
% 1.27/1.65     ) ), 'c_0' ) ],
% 1.27/1.65     [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 1.27/1.65    'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ],
% 1.27/1.65     [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T ) ), 'c_0' )
% 1.27/1.65     ],
% 1.27/1.65     [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( Y, Z ) ), 
% 1.27/1.65    'c_0' ) ],
% 1.27/1.65     [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( Z, Y ) ), 
% 1.27/1.65    'c_0' ) ],
% 1.27/1.65     [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( 'c_Datatype_Ounit_Ounit__case'( X, 'c_Product__Type_OUnity', Y ), X
% 1.27/1.65     ) ],
% 1.27/1.65     [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 'c_Product__Type_OUnity', Y ), X
% 1.27/1.65     ) ],
% 1.27/1.65     [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 'tc_Product__Type_Ounit' )
% 1.27/1.65    , 'c_0' ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.27/1.65     [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X, Y, Z, T ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'( 
% 1.27/1.65    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.27/1.65     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 1.27/1.65    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.27/1.65     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.27/1.65     [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X, Y, Z, T ), 
% 1.27/1.65    'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.27/1.65    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'( 
% 1.27/1.65    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.27/1.65     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 1.27/1.65    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.27/1.65     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.27/1.65    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.27/1.65     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.27/1.65     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 'c_emptyset' ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.27/1.65    'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ],
% 1.27/1.65     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.27/1.65    , Y, Z, T ), Z, T ) ) ],
% 1.27/1.65     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.27/1.65    , Y, Z, T ), Z, T ) ) ],
% 1.27/1.65     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.27/1.65    'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ],
% 1.27/1.65     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.27/1.65    'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ), 
% 1.27/1.65    'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ],
% 1.27/1.65     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.27/1.65    'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ), 
% 1.27/1.65    'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.27/1.65     ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ],
% 1.27/1.65     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 1.27/1.65    'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.27/1.65     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 1.27/1.65    'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.27/1.65     [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.27/1.65     [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.65     [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ],
% 1.27/1.65     [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 'tc_nat' ), 'c_0' )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', Y, 'tc_nat' )
% 1.27/1.65     ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y, 
% 1.27/1.65    'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z, 
% 1.27/1.65    'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X, 
% 1.27/1.65    'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z, 
% 1.27/1.65    'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y, 
% 1.27/1.65    'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z, 
% 1.27/1.65    'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y, 
% 1.27/1.65    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y, 
% 1.27/1.65    'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z, 
% 1.27/1.65    'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X, 
% 1.27/1.65    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 'tc_nat' ), 
% 1.27/1.65    'c_1' ) ],
% 1.27/1.65     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 1.27/1.65    'c_Suc'( 'c_0' ) ) ],
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ],
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), 'c_0' ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ), 
% 1.27/1.65    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ],
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), 
% 1.27/1.65    'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'( 
% 1.27/1.65    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, Y, 
% 1.27/1.65    'tc_nat' ), X ) ],
% 1.27/1.65     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_Divides_Oop_Amod'( Y
% 1.27/1.65    , X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ), 
% 1.27/1.65    'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 'tc_nat' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ), 
% 1.27/1.65    'c_0' ) ],
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ), 
% 1.27/1.65    'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), 
% 1.27/1.65    'c_0' ) ],
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.65     [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), 
% 1.27/1.65    'c_0' ) ],
% 1.27/1.65     [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 
% 1.27/1.65    'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =( 
% 1.27/1.65    X, 'c_emptyset' ) ],
% 1.27/1.65     [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =( 
% 1.27/1.65    X, 'c_emptyset' ) ],
% 1.27/1.65     [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.27/1.65     ) ],
% 1.27/1.65     [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 1.27/1.65    'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.27/1.65     [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 1.27/1.65    'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.27/1.65     [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.27/1.65     ) ],
% 1.27/1.65     [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 1.27/1.65    'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.27/1.65     [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 1.27/1.65    'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.27/1.65     [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft', 
% 1.27/1.65    'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.27/1.65     [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight', 
% 1.27/1.65    'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.27/1.65    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( Y
% 1.27/1.65    , 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'( 
% 1.27/1.65    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 1.27/1.65    'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z, 
% 1.27/1.65    'c_Finite__Set_OMax'( Y, X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.27/1.65    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ), =( Z, 
% 1.27/1.65    'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.27/1.65    'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( 
% 1.27/1.65    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.27/1.65    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( 
% 1.27/1.65    'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), =( Z, 
% 1.27/1.65    'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.27/1.65    'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'( 
% 1.27/1.65    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( 
% 1.27/1.65    'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'( 
% 1.27/1.65    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMax'( 
% 1.27/1.65    'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.27/1.65    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.27/1.65    T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T, Y, X ), =( Z, 
% 1.27/1.65    'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.27/1.65    'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z, 
% 1.27/1.65    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z, 
% 1.27/1.65    'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z, 
% 1.27/1.65    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.27/1.65    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( T, 
% 1.27/1.65    'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), =( Z, 
% 1.27/1.65    'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.27/1.65    'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z, 
% 1.27/1.65    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z, 
% 1.27/1.65    'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z, 
% 1.27/1.65    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'( 
% 1.27/1.65    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 1.27/1.65    'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z, 
% 1.27/1.65    'c_Finite__Set_OMin'( Y, X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.27/1.65    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( 
% 1.27/1.65    'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMin'( 
% 1.27/1.65    'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( =( 
% 1.27/1.65    'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 
% 1.27/1.65    =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.27/1.65     [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.27/1.65     [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =( 
% 1.27/1.65    'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( Z, 
% 1.27/1.65    X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y ), 'c_Suc'( 
% 1.27/1.65    'c_Finite__Set_Ocard'( X, Y ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.27/1.65    'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ), 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z, 
% 1.27/1.65    'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.27/1.65    , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ), 
% 1.27/1.65    'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.27/1.65    'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.27/1.65    'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.27/1.65     ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.27/1.65     ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'( 
% 1.27/1.65    Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X, 
% 1.27/1.65    Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.27/1.65    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.27/1.65    , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.27/1.65     ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.27/1.65    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.27/1.65    Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.65    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( 
% 1.27/1.65    'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y, 
% 1.27/1.65    'c_emptyset' ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.27/1.65    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 1.27/1.65    'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.27/1.65     ), Y ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.27/1.65    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 1.27/1.65    'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.27/1.65     ), Y ) ],
% 1.27/1.65     [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ],
% 1.27/1.65     [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.27/1.65     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat', 'tc_nat' ) )
% 1.27/1.65    , 'c_1' ) ],
% 1.27/1.65     [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat', 'tc_nat' ) )
% 1.27/1.65    , 'c_1' ) ],
% 1.27/1.65     [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat', 
% 1.27/1.65    'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat', 
% 1.27/1.65    'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat', 
% 1.27/1.65    'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 1.27/1.65    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 1.27/1.65    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'( 
% 1.27/1.65    X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.27/1.65    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.27/1.65     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat', 
% 1.27/1.65    'tc_nat' ) ), X ) ],
% 1.27/1.65     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), X ) ],
% 1.27/1.65     [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.27/1.65     ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.27/1.65    'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.27/1.65     ), 'c_1' ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.65    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.27/1.65    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.27/1.65    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0', 
% 1.27/1.65    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1', 
% 1.27/1.65    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.27/1.65    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.27/1.65    , X ), X ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.27/1.65    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.27/1.65    , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.65    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.65    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.65    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.65    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.65    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.65    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.27/1.65    Y, X ), 'c_1', X ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.65    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~( 
% 1.27/1.65    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.65    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'( 
% 1.27/1.65    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.65     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.65    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.27/1.66    , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', 
% 1.27/1.66    X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.27/1.66    , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 'c_1', X
% 1.27/1.66     ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), Y ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ) ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.27/1.66    , X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.27/1.66    , X ), X ) ), =( 'c_1', 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), 
% 1.27/1.66    X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.27/1.66     ), 'c_1' ) ],
% 1.27/1.66     [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , 'tc_IntDef_Oint' ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_IntDef_Onat'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_IntDef_Oof__int'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 
% 1.27/1.66    'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Suc'( 'c_0'
% 1.27/1.66     ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.27/1.66     [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.27/1.66    , 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ],
% 1.27/1.66     [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1', 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( X, 'c_plus'( 
% 1.27/1.66    Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, 'c_minus'( 
% 1.27/1.66    Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 
% 1.27/1.66    'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 
% 1.27/1.66    'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y ), 
% 1.27/1.66    'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 
% 1.27/1.66    'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 'c_IntDef_OAbs__Integ'( X )
% 1.27/1.66     ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_0', 
% 1.27/1.66    'c_IntDef_OInts', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_1', 
% 1.27/1.66    'c_IntDef_OInts', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'( 
% 1.27/1.66    'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'( 
% 1.27/1.66    'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 'c_IntDef_OInts', X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'( 
% 1.27/1.66    'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'( 
% 1.27/1.66    'c_0', 'c_IntDef_ONats', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'( 
% 1.27/1.66    'c_1', 'c_IntDef_ONats', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~( 
% 1.27/1.66    'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.27/1.66    , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~( 
% 1.27/1.66    'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.27/1.66    , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.27/1.66     [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_IntDef_Oint'( X ) ) ],
% 1.27/1.66     [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 
% 1.27/1.66    'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 
% 1.27/1.66    'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'( 
% 1.27/1.66    'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat', 
% 1.27/1.66    'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 
% 1.27/1.66    'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.27/1.66    , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 1.27/1.66    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.27/1.66    'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 
% 1.27/1.66    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 
% 1.27/1.66    'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset', 
% 1.27/1.66    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 
% 1.27/1.66    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'( 
% 1.27/1.66    'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat', 
% 1.27/1.66    'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 
% 1.27/1.66    'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_0', 'c_1' ) ) ],
% 1.27/1.66     [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ],
% 1.27/1.66     [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 'c_IntDef_Oint'( 
% 1.27/1.66    X ), 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.27/1.66     [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ],
% 1.27/1.66     [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    =( X, 'c_0' ) ],
% 1.27/1.66     [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 'tc_IntDef_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 
% 1.27/1.66    'c_IntDef_Onat'( X ) ), X ) ],
% 1.27/1.66     [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 
% 1.27/1.66    'c_IntDef_Onat'( X ) ), 'c_0' ) ],
% 1.27/1.66     [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 'c_Pair'( 
% 1.27/1.66    X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.27/1.66     ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 
% 1.27/1.66    'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z
% 1.27/1.66    , T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.27/1.66    'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 
% 1.27/1.66    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_plus'( 
% 1.27/1.66    X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 'tc_nat' ) ) ), 
% 1.27/1.66    'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z, Y, 
% 1.27/1.66    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.27/1.66    'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 
% 1.27/1.66    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.27/1.66     [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Onat'( 
% 1.27/1.66    X ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.27/1.66     ) ), 'c_0' ) ],
% 1.27/1.66     [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ],
% 1.27/1.66     [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_IntDef_Oint'( 'c_0' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 'c_IntDef_Oint'( Y ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) )
% 1.27/1.66    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_0', 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 
% 1.27/1.66    'c_IntDef_Oof__int'( 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.27/1.66    , 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.27/1.66    , Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), 
% 1.27/1.66    X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.27/1.66    'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.27/1.66    'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.27/1.66    'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.27/1.66    'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.27/1.66    'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.27/1.66    , X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X
% 1.27/1.66     ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 
% 1.27/1.66    'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0'
% 1.27/1.66    , X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 'c_less'( 
% 1.27/1.66    Y, Z, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, Z, 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 
% 1.27/1.66    'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.27/1.66    'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.27/1.66    'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'( 
% 1.27/1.66    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.27/1.66    'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ), 
% 1.27/1.66    'c_NatArith_Oof__nat'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'( 
% 1.27/1.66    'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_IntDef_Oint'( 
% 1.27/1.66    X ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 'c_less'( 
% 1.27/1.66    'c_0', X, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.27/1.66     [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_IntDef_Oint'( 
% 1.27/1.66    X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_IntDef_Oint'( X ), 
% 1.27/1.66    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.27/1.66    , 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.27/1.66    , 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y, 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y
% 1.27/1.66     ), 'tc_nat' ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'( 
% 1.27/1.66    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegDivAlg'( 
% 1.27/1.66    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'( 
% 1.27/1.66    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'( 
% 1.27/1.66    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'( 
% 1.27/1.66    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'( 
% 1.27/1.66    'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.27/1.66     ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'( 
% 1.27/1.66    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegDivAlg'( 
% 1.27/1.66    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 1.27/1.66    'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'( 
% 1.27/1.66    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OposDivAlg'( 
% 1.27/1.66    'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.27/1.66    , 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.27/1.66    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.27/1.66    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 
% 1.27/1.66    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.27/1.66     [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.27/1.66    , 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X, 
% 1.27/1.66    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 
% 1.27/1.66    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 
% 1.27/1.66    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_1', 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 
% 1.27/1.66    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'( 
% 1.27/1.66    'c_Pair'( 'c_1', 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.27/1.66    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 
% 1.27/1.66    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.27/1.66     [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 'c_times'( X, 
% 1.27/1.66    'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ],
% 1.27/1.66     [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint' )
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.27/1.66     ],
% 1.27/1.66     [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 'c_div'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' )
% 1.27/1.66    , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.27/1.66     [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 'tc_IntDef_Oint' )
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), X, 
% 1.27/1.66    'tc_IntDef_Oint' ), Y ) ],
% 1.27/1.66     [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.27/1.66    'tc_IntDef_Oint' ), Y ) ],
% 1.27/1.66     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.27/1.66     ],
% 1.27/1.66     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.27/1.66    , =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', 
% 1.27/1.66    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X, 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 'c_0' ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.27/1.66    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.27/1.66    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.27/1.66    'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 'c_LOrder_Ojoin'( Y, Y
% 1.27/1.66    , X ), Y ) ],
% 1.27/1.66     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 'c_LOrder_Omeet'( Y, Y
% 1.27/1.66    , X ), Y ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.27/1.66    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.27/1.66     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.27/1.66    Z, Z ) ), =( X, T ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.27/1.66    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.27/1.66     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.27/1.66    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 1.27/1.66    Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.27/1.66    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.27/1.66     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y, 
% 1.27/1.66    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.27/1.66    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.27/1.66     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.27/1.66    , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 
% 1.27/1.66    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y, 
% 1.27/1.66    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( =( 
% 1.27/1.66    'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W, 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.27/1.66    , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 1.27/1.66    Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.27/1.66     ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.27/1.66    , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 1.27/1.66    Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.27/1.66    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 1.27/1.66    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.27/1.66    , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Oset'( X, 
% 1.27/1.66    'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Olist_ONil', 
% 1.27/1.66    'c_List_Oconcat'( X, Y ) ) ],
% 1.27/1.66     [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.27/1.66     ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil', 
% 1.27/1.66    'c_List_Olist_ONil', X ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.27/1.66    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 1.27/1.66    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.27/1.66    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 1.27/1.66    Z ) ) ), =( X, T ) ],
% 1.27/1.66     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.27/1.66    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 1.27/1.66    Z ) ) ), =( Y, U ) ],
% 1.27/1.66     [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( X, 
% 1.27/1.66    'c_append'( Y, T, Z ), Z ) ) ],
% 1.27/1.66     [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 'c_List_Obutlast'( X, Y )
% 1.27/1.66    , 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil', Y )
% 1.27/1.66    , Y ), X ) ],
% 1.27/1.66     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.27/1.66    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.27/1.66    , Y ) ) ), =( X, Z ) ],
% 1.27/1.66     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.27/1.66    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.27/1.66    , Y ) ) ), =( T, U ) ],
% 1.27/1.66     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.27/1.66    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.27/1.66    , Y ) ) ), =( T, U ) ],
% 1.27/1.66     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.27/1.66    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.27/1.66    , Y ) ) ), =( X, Z ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 1.27/1.66    'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 
% 1.27/1.66    'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ), 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.27/1.66     [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.27/1.66     [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, Z ), Z
% 1.27/1.66     ), Y ) ],
% 1.27/1.66     [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y
% 1.27/1.66     ), Y ), 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'( 
% 1.27/1.66    'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y, 
% 1.27/1.66    'c_List_Obutlast'( X, Z ), Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 1.27/1.66    'c_List_Olist_ONil', Z ), Z ), Z ), X ) ],
% 1.27/1.66     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 1.27/1.66    =( X, Z ) ],
% 1.27/1.66     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 1.27/1.66    =( Y, T ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 'tc_List_Ochar' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 'tc_List_Olist'( Z )
% 1.27/1.66     ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z ) ), Z ), 
% 1.27/1.66    'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z ), Z ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ), 
% 1.27/1.66    'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Oset'( X, 
% 1.27/1.66    'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Oconcat'( X, Y
% 1.27/1.66     ), 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.27/1.66     ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ), 
% 1.27/1.66    'c_List_Odistinct'( X, Y ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate1'( 
% 1.27/1.66    X, Y ), Y ) ],
% 1.27/1.66     [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), ~( 
% 1.27/1.66    'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), 
% 1.27/1.66    'c_List_Odistinct'( Y, Z ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.27/1.66    'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 1.27/1.66    'c_List_Odistinct'( X, Z ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 1.27/1.66    'c_List_Odistinct'( Y, Z ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 'c_inter'( 
% 1.27/1.66    'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 'c_emptyset' ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z, Y ) ), ~( 
% 1.27/1.66    =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y ), 
% 1.27/1.66    'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Odrop'( Z
% 1.27/1.66    , X, Y ), Y ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Oremove1'( 
% 1.27/1.66    Z, X, Y ), Y ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ), 
% 1.27/1.66    'c_List_Odistinct'( X, Y ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orev'( X
% 1.27/1.66    , Y ), Y ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) ), 
% 1.27/1.66    'c_List_Odistinct'( Y, Z ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate'( 
% 1.27/1.66    Z, X, Y ), Y ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Osublist'( 
% 1.27/1.66    X, Z, Y ), Y ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Otake'( Z
% 1.27/1.66    , X, Y ), Y ) ],
% 1.27/1.66     [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ],
% 1.27/1.66     [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ],
% 1.27/1.66     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =( 
% 1.27/1.66    'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.27/1.66    , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.27/1.66     [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 'c_append'( 
% 1.27/1.66    'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.27/1.66    , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.27/1.66     [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'( 
% 1.27/1.66    'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 1.27/1.66    'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z, 
% 1.27/1.66    'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 1.27/1.66    'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ],
% 1.27/1.66     [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 'c_List_Oupt'( 
% 1.27/1.66    'c_plus'( Y, X, 'tc_nat' ), Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 1.27/1.66     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 'c_List_Ohd'( X
% 1.27/1.66    , Y ), 'c_List_Otl'( X, Y ), Y ), X ) ],
% 1.27/1.66     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( X, Y, Z ), Z
% 1.27/1.66     ), 'c_List_Ohd'( X, Z ) ) ],
% 1.27/1.66     [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 'c_List_Oupt'( X, Y
% 1.27/1.66     ), 'tc_nat' ), X ) ],
% 1.27/1.66     [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( X, Z ), Y, Z
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.27/1.66     [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 1.27/1.66    'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 
% 1.27/1.66    Y ), X ) ],
% 1.27/1.66     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_List_Olist_OCons'( 
% 1.27/1.66    Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y ), Y ), 
% 1.27/1.66    'c_List_Olast'( X, Y ) ) ],
% 1.27/1.66     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_append'( Y, X, Z )
% 1.27/1.66    , Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.27/1.66    , =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y, Z
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 1.27/1.66    , Y ) ],
% 1.27/1.66     [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 1.27/1.66    'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Oupt'( X, 
% 1.27/1.66    Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( Z ) ), 
% 1.27/1.66    'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 
% 1.27/1.66    'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.27/1.66    'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 'tc_List_Olist'( Z ) ), 
% 1.27/1.66    'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 1.27/1.66    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.27/1.66    , =( X, 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ), 
% 1.27/1.66    'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.27/1.66    , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X, 
% 1.27/1.66    Y ), X ) ],
% 1.27/1.66     [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 1.27/1.66    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 1.27/1.66    'tc_List_Olist'( Y ) ) ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 'tc_List_Olist'( Z )
% 1.27/1.66     ), X ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.27/1.66    'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.27/1.66    'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 'tc_List_Olist'( Z ) )
% 1.27/1.66    , 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 'tc_List_Olist'( Z ) ), 
% 1.27/1.66    'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat'
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.27/1.66    'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 'tc_nat' ) )
% 1.27/1.66    , 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 'tc_List_Olist'( 
% 1.27/1.66    'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( X, 
% 1.27/1.66    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.27/1.66    'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'( 
% 1.27/1.66    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.27/1.66    'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ), 
% 1.27/1.66    'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ],
% 1.27/1.66     [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z )
% 1.27/1.66    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z )
% 1.27/1.66    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.27/1.66    'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'( 
% 1.27/1.66    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.27/1.66    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.27/1.66     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.27/1.66    Z, Z ) ), =( X, T ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.27/1.66    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.27/1.66     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.27/1.66    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 1.27/1.66    Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 1.27/1.66    'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 'c_List_Olist_OCons'( Y, W, Z
% 1.27/1.66     ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z
% 1.27/1.66     ), 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.27/1.66     ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.27/1.66    , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ), 
% 1.27/1.66    'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 
% 1.27/1.66    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.27/1.66     ) ), =( X, T ) ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.27/1.66     ) ), =( Y, U ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z
% 1.27/1.66     ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_0'
% 1.27/1.66     ), 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ), 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Olist__inter'( 
% 1.27/1.66    'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist_OCons'( X, 
% 1.27/1.66    'c_List_Olist__inter'( T, Y, Z ), Z ) ) ],
% 1.27/1.66     [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Olist__inter'( 
% 1.27/1.66    'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist__inter'( T, Y, Z )
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z ), 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z, 
% 1.27/1.66    'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.27/1.66    , =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_List_Olist__update'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, 
% 1.27/1.66    T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), U, T ), 'c_append'( X
% 1.27/1.66    , 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.27/1.66    , =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, T, Z ), X, U, 
% 1.27/1.66    Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ],
% 1.27/1.66     [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 'c_insert'( 
% 1.27/1.66    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ), 
% 1.27/1.66    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'( 
% 1.27/1.66    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ],
% 1.27/1.66     [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 
% 1.27/1.66    'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.27/1.66     [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 'c_insert'( 
% 1.27/1.66    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ],
% 1.27/1.66     [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 'tc_set'( Z ) ), Z )
% 1.27/1.66    , 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.27/1.66    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.27/1.66     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.27/1.66    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 'tc_List_Onibble' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T ), T ), T ) )
% 1.27/1.66    , 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 1.27/1.66    , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 1.27/1.66     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0', Z ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ), 
% 1.27/1.66    'c_List_Onth'( Y, T, Z ) ) ],
% 1.27/1.66     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =( 
% 1.27/1.66    'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_nat' ), T ), Y ) ],
% 1.27/1.66     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.27/1.66    , 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ],
% 1.27/1.66     [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 'c_Nat_Osize'( X, 
% 1.27/1.66    'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, T, Z ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_Nat_Osize'( Z, 
% 1.27/1.66    'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Odrop'( X
% 1.27/1.66    , Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 'tc_nat' ), T ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.27/1.66    , =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X, T, U ), Y, 
% 1.27/1.66    U ), 'c_List_Onth'( Z, Y, U ) ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.27/1.66    , 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Oreplicate'( 
% 1.27/1.66    Y, Z, T ), X, T ), Z ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Otake'( Y, 
% 1.27/1.66    Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =( 
% 1.27/1.66    'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.27/1.66    , ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ), 'tc_nat' ) )
% 1.27/1.66    , =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 'tc_prod'( U, Z ) ), 
% 1.27/1.66    'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y, X, Z ), U, Z ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ],
% 1.27/1.66     [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.27/1.66     [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 1.27/1.66    'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ],
% 1.27/1.66     [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.27/1.66     [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ) ), 
% 1.27/1.66    'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ],
% 1.27/1.66     [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 1.27/1.66     [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X, 
% 1.27/1.66    'c_List_Olist_OCons'( T, Y, Z ), Z ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Oremdups'( 
% 1.27/1.66    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Oremdups'( Y, Z ) ) ],
% 1.27/1.66     [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Oremdups'( 
% 1.27/1.66    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, 
% 1.27/1.66    'c_List_Oremdups'( Y, Z ), Z ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 'c_List_Olist_ONil', X ) )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 1.27/1.66     ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ) ],
% 1.27/1.66     [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.27/1.66    , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_append'( 
% 1.27/1.66    'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Z )
% 1.27/1.66    , Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'( 
% 1.27/1.66    'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.27/1.66    , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 1.27/1.66    'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.27/1.66     [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 1.27/1.66    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 1.27/1.66    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.27/1.66    'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.27/1.66     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, 
% 1.27/1.66    'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z, 
% 1.27/1.66    'c_List_Olist_ONil', Y ) ) ],
% 1.27/1.66     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y
% 1.27/1.66     ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 
% 1.27/1.66    'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ],
% 1.27/1.66     [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'( 
% 1.27/1.66    'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 1.27/1.66     [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.27/1.66     ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 1.27/1.66     [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 
% 1.27/1.66    'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ],
% 1.27/1.66     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.27/1.66     [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.27/1.66     [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_insert'( X
% 1.27/1.66    , 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 'c_List_Oset'( 
% 1.27/1.66    X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.27/1.66     [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.27/1.66     [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 'c_List_Oremove1'( 
% 1.27/1.66    Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 'c_insert'( Z, 
% 1.27/1.66    'c_emptyset', Y ), 'tc_set'( Y ) ) ) ],
% 1.27/1.66     [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.27/1.66    'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.27/1.66     [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 'c_List_Oset'( Y, 
% 1.27/1.66    Z ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'( 
% 1.27/1.66    Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'( 
% 1.27/1.66    'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.27/1.66     [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 'c_List_Olist_ONil' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 'c_List_Olist_ONil'
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'( 
% 1.27/1.66    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 1.27/1.66    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ],
% 1.27/1.66     [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'( 
% 1.27/1.66    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 'tc_nat' ), Z )
% 1.27/1.66    , 'c_List_Otake'( Y, X, Z ) ) ],
% 1.27/1.66     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =( 
% 1.27/1.66    'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 
% 1.27/1.66    'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.27/1.66    , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.27/1.66    , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z, 
% 1.27/1.66    'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ],
% 1.27/1.66     [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 'c_append'( 
% 1.27/1.66    'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.27/1.66    , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.27/1.66     [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 'c_0'
% 1.27/1.66     ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 1.27/1.66    'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'( 
% 1.27/1.66    'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =( 
% 1.27/1.66    'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 'c_List_Oupt'( X, 
% 1.27/1.66    'c_plus'( X, Y, 'tc_nat' ) ) ) ],
% 1.27/1.66     [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.27/1.66     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( X, Y, Z ), Z
% 1.27/1.66     ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ],
% 1.27/1.66     [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.27/1.66    'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( X, 'c_Suc'( Y
% 1.27/1.66     ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 'c_List_Olist_OCons'( Y, 
% 1.27/1.66    'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.66     [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 'c_Suc'( Y ) )
% 1.27/1.66    , 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 'c_lessequals'( 
% 1.27/1.66    Y, X, 'tc_nat' ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( Y, X ), 
% 1.27/1.66    'c_List_Olist_ONil' ) ],
% 1.27/1.66     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.27/1.66     [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 'c_List_Olist_ONil'
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.27/1.66    'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'( 
% 1.27/1.66    X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.27/1.66     [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 'c_List_Olist_ONil'
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.27/1.66    'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Y )
% 1.27/1.66     ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 'c_List_Ozip'( 
% 1.27/1.66    'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 'c_append'( 
% 1.27/1.66    'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 'tc_prod'( Y, T
% 1.27/1.66     ) ) ) ],
% 1.27/1.66     [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( 
% 1.27/1.66    T, U, W ), Z, W ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, T, 
% 1.27/1.66    'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 'c_Map_Omap__of'( 
% 1.27/1.66    'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 'c_Datatype_Ooption_ONone' ) ), 
% 1.27/1.66    ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( T, 
% 1.27/1.66    'tc_List_Olist'( U ) ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.27/1.66    'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X, Y ), Y ), =( 
% 1.27/1.66    'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ), 
% 1.27/1.66    'c_Datatype_Ooption_ONone' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X, 
% 1.27/1.66    'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 'tc_nat' ), X, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 'c_minus'( Y, X
% 1.27/1.66    , 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 'tc_nat' ), X, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_Suc'( 
% 1.27/1.66    'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 
% 1.27/1.66    'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 'c_Suc'( 
% 1.27/1.66    'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), 
% 1.27/1.66    'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 'c_minus'( Y, 
% 1.27/1.66    X, 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_minus'( Y, 
% 1.27/1.66    X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 'tc_nat' ), Y, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.27/1.66     ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.27/1.66    'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 'c_NatArith_Oof__nat'( 
% 1.27/1.66    Y, X ), 'c_1', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 'c_0', 
% 1.27/1.66    'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 'c_0', 
% 1.27/1.66    'c_NatArith_Oof__nat'( 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.27/1.66    'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 'tc_nat'
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.27/1.66    'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.27/1.66    'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'( 
% 1.27/1.66    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( Z, Y, 'tc_nat' )
% 1.27/1.66    , X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 'c_NatArith_Oof__nat'( Y
% 1.27/1.66    , X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 1.27/1.66    'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 
% 1.27/1.66    'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 1.27/1.66    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y, Z
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.27/1.66    'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, 
% 1.27/1.66    X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'( 
% 1.27/1.66    Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ), 
% 1.27/1.66    'c_less'( Y, Z, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 
% 1.27/1.66    'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.27/1.66    'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 'c_times'( 
% 1.27/1.66    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.27/1.66     ), 'c_1' ) ],
% 1.27/1.66     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.27/1.66    , 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_plus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.27/1.66     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y
% 1.27/1.66    , X ), 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 
% 1.27/1.66    'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 
% 1.27/1.66    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ), 
% 1.27/1.66    'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 
% 1.27/1.66    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.27/1.66    X, 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.27/1.66     ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( X ) ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.27/1.66    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.27/1.66    , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 
% 1.27/1.66    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0'
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 'c_plus'( 
% 1.27/1.66    'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ) ), 'c_0' ) ],
% 1.27/1.66     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.27/1.66     ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( X
% 1.27/1.66     ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( 
% 1.27/1.66    X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.27/1.66    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.27/1.66    , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.27/1.66     ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.27/1.66    , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.27/1.66     ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( 
% 1.27/1.66    Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.27/1.66    , 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.27/1.66     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.27/1.66     ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( X, Y ), 'tc_nat' ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' ), 'c_0' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.27/1.66    'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.27/1.66    'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.27/1.66     [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 
% 1.27/1.66    'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'tc_IntDef_Oint' ) ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_nat' ), X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Power_Orecpower'( X ) ), 
% 1.27/1.66    =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( Y, X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_nat' ), X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'( 
% 1.27/1.66    'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.27/1.66    , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.27/1.66     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.27/1.66     ) ],
% 1.27/1.66     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_IntDef_Onat'( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_nat' ), X ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( 
% 1.27/1.66    'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), X
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.27/1.66     [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 'tc_nat' ), 'c_div'( 
% 1.27/1.66    X, 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.27/1.66     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.27/1.66    , 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.27/1.66     ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.27/1.66    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.27/1.66     ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.27/1.66    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.27/1.66    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.27/1.66    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), 
% 1.27/1.66    X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.27/1.66     ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.27/1.66     ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.27/1.66    , 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 1.27/1.66    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.27/1.66    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 
% 1.27/1.66    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'( 
% 1.27/1.66    T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, 
% 1.27/1.66    X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.27/1.66    , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.27/1.66    , X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'( 
% 1.27/1.66    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 
% 1.27/1.66    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.27/1.66     ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.27/1.66    , X ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.27/1.66    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.27/1.66     ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.27/1.66    , T, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'( 
% 1.27/1.66    'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.27/1.66    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.27/1.66    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.27/1.66    , X ), 'c_less'( 'c_0', Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.27/1.66    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 1.27/1.66    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.27/1.66    Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.27/1.66     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.27/1.66    , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.27/1.66    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.27/1.66    'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.27/1.66    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.27/1.66    , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.27/1.66     ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.27/1.66     ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.27/1.66     ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.27/1.66    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.27/1.66     ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.27/1.66     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.27/1.66     ) ), ~( =( 'c_uminus'( Y, X ), 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.27/1.66     ) ), =( 'c_uminus'( 'c_uminus'( 'c_1', X ), X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Ofield'( 
% 1.27/1.66    X ) ), =( 'c_HOL_Oinverse'( 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.27/1.66    'c_divide'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'( 
% 1.27/1.66    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'( 
% 1.27/1.66    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.27/1.66    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'( 
% 1.27/1.66    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.27/1.66    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.27/1.66    , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.27/1.66    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 
% 1.27/1.66    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 1.27/1.66    T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.27/1.66    , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.27/1.66    , X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 1.27/1.66    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.27/1.66    , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.27/1.66     ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.27/1.66     ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.27/1.66    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.27/1.66     ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), 
% 1.27/1.66    X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 1.27/1.66    T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y, 
% 1.27/1.66    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.27/1.66     ), X ) ],
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.27/1.66     ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'( 
% 1.27/1.66    X ) ), =( 'c_times'( 'c_minus'( Y, Z, X ), 'c_Numeral_Onumber__of'( T, X
% 1.27/1.66     ), X ), 'c_minus'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z, 
% 1.27/1.66    X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z, 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.27/1.66    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y, 
% 1.27/1.66    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.27/1.66    'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.27/1.66     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.27/1.66    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.27/1.66    , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.27/1.66    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'( 
% 1.27/1.66    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.27/1.66    , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.27/1.66    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.27/1.66    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'( 
% 1.27/1.66    Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.27/1.66    , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.27/1.66    , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), 
% 1.27/1.66    X ), X ) ],
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.27/1.66    , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, 
% 1.27/1.66    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( 
% 1.27/1.66    'c_divide'( 'c_1', Y, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.27/1.66    , Y, X ) ],
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ), 
% 1.27/1.66    'c_1', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( 
% 1.27/1.66    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'( 
% 1.27/1.66    'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_1' ) ],
% 1.27/1.66     [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 
% 1.27/1.66    'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.27/1.66    , 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.27/1.66    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.27/1.66    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.27/1.66    'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.27/1.66    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.27/1.66    'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.27/1.66    , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.27/1.66    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.27/1.66    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.27/1.66    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 1.27/1.66    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.27/1.66    , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.27/1.66    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.27/1.66    , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.27/1.66    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.27/1.66    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z, 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'( 
% 1.27/1.66    X ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X
% 1.27/1.66     ), X ), 'c_minus'( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'( 
% 1.27/1.66    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.27/1.66    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.27/1.66     ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.27/1.66    , Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', 
% 1.27/1.66    X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.27/1.66    , Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 1.27/1.66    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 1.27/1.66    'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 1.27/1.66    'c_0', X ), 'c_less'( 'c_0', Z, X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.27/1.66    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 1.27/1.66    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ],
% 1.27/1.66     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.27/1.66     [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 
% 1.27/1.66    'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 1.27/1.66    'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ), 
% 1.27/1.66    'c_Suc'( Y ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.27/1.66    , 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.27/1.66    , 'tc_nat' ) ],
% 1.27/1.66     [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 'c_minus'( X, 'c_Suc'( 
% 1.27/1.66    'c_0' ), 'tc_nat' ) ), X ) ],
% 1.27/1.66     [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.27/1.66     [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.27/1.66     [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y, 
% 1.27/1.66    'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 
% 1.27/1.66    'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.27/1.66     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_minus'( X, Y
% 1.27/1.66    , 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, 'c_Suc'( 
% 1.27/1.66    Y ), 'tc_nat' ), X, 'tc_nat' ) ],
% 1.27/1.66     [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( X
% 1.27/1.66    , 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 'c_lessequals'( X, Y, 
% 1.27/1.66    'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y, 'tc_nat' )
% 1.27/1.66    , 'c_0' ) ],
% 1.27/1.66     [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.27/1.66     [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.27/1.66     [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X, 
% 1.27/1.66    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 'c_minus'( Y, X
% 1.27/1.66    , 'tc_nat' ), 'tc_nat' ), Y ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.27/1.66     [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.27/1.66     [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.27/1.66     [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 1.27/1.66    'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ],
% 1.27/1.66     [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 1.27/1.66    'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ],
% 1.27/1.66     [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 'c_times'( X, 
% 1.27/1.66    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ) ) ), 
% 1.27/1.66    =( Y, Z ), =( X, 'c_0' ) ],
% 1.27/1.66     [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 'tc_nat' ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ) ) ), 
% 1.27/1.66    =( X, Z ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 'tc_nat' ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( X, 'c_1' )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( Y, 'c_1' )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ],
% 1.27/1.66     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ), =( X, 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( X, 
% 1.27/1.66    Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.27/1.66    Y, Z, 'tc_nat' ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( X, Y, 
% 1.27/1.66    'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( Z, X
% 1.27/1.66    , 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( Y, 
% 1.27/1.66    X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.27/1.66    Y, Z, 'tc_nat' ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( Y, X, 
% 1.27/1.66    'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( X, Z
% 1.27/1.66    , 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.27/1.66    , 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.27/1.66    , 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ), 
% 1.27/1.66    'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.27/1.66    , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.27/1.66    , 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ), 
% 1.27/1.66    'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.27/1.66    'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.27/1.66    'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.27/1.66     ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ) ) ), =( Y
% 1.27/1.66    , Z ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_plus'( Z, X
% 1.27/1.66    , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X, 'tc_nat' )
% 1.27/1.66    , 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ), =( X
% 1.27/1.66    , Z ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( X, 'c_1' )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_1' )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_1', Y
% 1.27/1.66    , 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( Y, X, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 'c_times'( X, 
% 1.27/1.66    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.27/1.66     [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y, 
% 1.27/1.66    'tc_nat' ) ) ) ],
% 1.27/1.66     [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.27/1.66    'c_less'( Y, X, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_minus'( Y, X, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_OMin' ) ],
% 1.27/1.66     [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'c_Numeral_OPls' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.27/1.66    , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.27/1.66    Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.27/1.66     ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.27/1.66    Y, Z ), X ), T, X ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.27/1.66    , 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X
% 1.27/1.66    , Y ), Z ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.27/1.66    , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.27/1.66    , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ), 
% 1.27/1.66    'c_Numeral_Obin__pred'( X ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ), 
% 1.27/1.66    'c_Numeral_Obin__pred'( X ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__minus'( Y ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 'c_1', X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( Z ) ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0'
% 1.27/1.66     ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1'
% 1.27/1.66     ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 'c_Numeral_Obin__minus'( 
% 1.27/1.66    X ) ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 'c_Numeral_OPls' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.27/1.66    , Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X, Y ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.27/1.66    , Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.27/1.66    , Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ), 
% 1.27/1.66    'c_Numeral_Obin__minus'( X ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 'c_Numeral_OPls' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.27/1.66     ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 'c_Numeral_Obit_OB1' )
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.27/1.66     ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 'c_Numeral_OMin' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~( 
% 1.27/1.66    'c_IntDef_Oiszero'( 'c_1', X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ), 
% 1.27/1.66    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.27/1.66    , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.27/1.66    , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.27/1.66    , X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.27/1.66    , X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.27/1.66    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.27/1.66    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.27/1.66    'c_1', X ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.27/1.66     ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.27/1.66     ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 'c_Numeral_Obit_OB0' )
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 'c_Numeral_OPls' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.27/1.66     [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.27/1.66     [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 'c_uminus'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.27/1.66     ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OPls', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), X ), 'c_1' )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( 
% 1.27/1.66    'c_uminus'( Y, X ), Y, X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 'c_0'
% 1.27/1.66    , 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 'c_0', 
% 1.27/1.66    'c_HOL_Oabs'( 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.27/1.66    'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 
% 1.27/1.66    X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 
% 1.27/1.66    'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.27/1.66    'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.27/1.66    'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.27/1.66    'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( Y, 
% 1.27/1.66    X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( Y, 
% 1.27/1.66    'c_0', X ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.66    , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( Z, T, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.66    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ), 
% 1.27/1.66    'c_plus'( T, Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.66    , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( Y, T, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.66    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ), 
% 1.27/1.66    'c_plus'( Z, T, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'( 
% 1.27/1.66    Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.66    , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'( 
% 1.27/1.66    Z, T, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.66    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z
% 1.27/1.66    , X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.66    , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'( 
% 1.27/1.66    Y, T, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.66    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T
% 1.27/1.66    , X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'( 
% 1.27/1.66    Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 1.27/1.66    , Y, X ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( 'c_0', Y
% 1.27/1.66    , X ), 'c_uminus'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 'c_0'
% 1.27/1.66    , X ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_minus'( Y, Z
% 1.27/1.66    , X ), 'c_0' ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 1.27/1.66    , X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 1.27/1.66    , X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 
% 1.27/1.66    'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, Y, X
% 1.27/1.66     ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X ), 
% 1.27/1.66    'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ), 
% 1.27/1.66    'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =( 
% 1.27/1.66    'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.27/1.66    'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =( 
% 1.27/1.66    'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.27/1.66    'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 1.27/1.66     ), X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_uminus'( Y, X ), X ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y, 
% 1.27/1.66    X ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( Y, 'c_1', 
% 1.27/1.66    X ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_0', 
% 1.27/1.66    'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0', 'c_uminus'( 
% 1.27/1.66    'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( Y, X
% 1.27/1.66     ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.27/1.66     ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_0', 
% 1.27/1.66    X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.27/1.66     ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 'c_uminus'( Y, X ), 
% 1.27/1.66    'c_uminus'( Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 'c_0', 
% 1.27/1.66    Y, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ), 
% 1.27/1.66    'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ), 
% 1.27/1.66    'c_uminus'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.27/1.66    Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 'c_uminus'( Y, X ), 
% 1.27/1.66    'c_uminus'( Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.27/1.66    'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'( 
% 1.27/1.66    'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ), 
% 1.27/1.66    'c_OrderedGroup_Onprt'( Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.27/1.66    'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X ), 
% 1.27/1.66    'c_OrderedGroup_Opprt'( Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y, 
% 1.27/1.66    'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'( 
% 1.27/1.66    'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 'c_less'( 
% 1.27/1.66    'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'( 
% 1.27/1.66    Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'( 
% 1.27/1.66    Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.27/1.66    'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X ), Z, X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.27/1.66    'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z, X ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.66    , ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 'c_Orderings_Omin'( 
% 1.27/1.66    T, Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, Y, X
% 1.27/1.66     ), Y ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, 
% 1.27/1.66    'c_Orderings_Omin'( Y, Z, X ), X ), 'c_Orderings_Omin'( Y, Z, X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.66    , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T, 
% 1.27/1.66    Y, X ), Z, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, Y, X
% 1.27/1.66     ), Y ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, 
% 1.27/1.66    'c_Orderings_Omax'( Y, Z, X ), X ), 'c_Orderings_Omax'( Y, Z, X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat'
% 1.27/1.66     ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ) ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.27/1.66    , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.27/1.66    , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_Suc'( X
% 1.27/1.66     ), 'tc_nat' ) ) ],
% 1.27/1.66     [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 'c_Suc'( X ), 
% 1.27/1.66    'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.27/1.66    'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.27/1.66    'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat'
% 1.27/1.66     ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.27/1.66    'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( X, 
% 1.27/1.66    Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( Y, 
% 1.27/1.66    X, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( Y
% 1.27/1.66    , X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( X
% 1.27/1.66    , Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat'
% 1.27/1.66     ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 'tc_nat' ), 
% 1.27/1.66    'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.27/1.66    'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y, 
% 1.27/1.66    'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ), 
% 1.27/1.66    'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.27/1.66    'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.27/1.66    'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.27/1.66    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.27/1.66     ), 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' )
% 1.27/1.66    , 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.27/1.66    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 1.27/1.66    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'( 
% 1.27/1.66    'c_1', X ) ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.27/1.66     ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.27/1.66     ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 'c_Nat_Opower'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.27/1.66     [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ), 
% 1.27/1.66    =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.27/1.66    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.27/1.66    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.27/1.66    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X, 
% 1.27/1.66    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.27/1.66    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ],
% 1.27/1.66     [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( 
% 1.27/1.66    Y, 'tc_nat' ), X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.27/1.66    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.27/1.66    'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.27/1.66    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.27/1.66     ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.27/1.66     ) ), =( Z, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.27/1.66     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.27/1.66     ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.27/1.66     ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.27/1.66    , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.27/1.66    , 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.27/1.66    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.27/1.66    , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.27/1.66     ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.27/1.66     ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.27/1.66    X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.27/1.66    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 
% 1.27/1.66    'c_Nat_Opower'( Z, Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 1.27/1.66    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'( 
% 1.27/1.66    'c_Nat_Opower'( Z, Y, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 1.27/1.66    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_lessequals'( 'c_0', Y, X ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.27/1.66    'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y, 
% 1.27/1.66    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 1.27/1.66    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.27/1.66    , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.27/1.66     ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.27/1.66    , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.27/1.66    , 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.27/1.66    , 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.27/1.66     ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 
% 1.27/1.66    'tc_nat' ), X ), X ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ), =( 
% 1.27/1.66    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.27/1.66     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 'c_less'( 
% 1.27/1.66    'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_Nat_Opower'( 
% 1.27/1.66    X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 
% 1.27/1.66    'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' ), 'tc_nat' ) )
% 1.27/1.66    , =( X, 'c_0' ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X, 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'tc_nat' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ],
% 1.27/1.66     [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( X, 
% 1.27/1.66    'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Suc'( 
% 1.27/1.66    Y ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.27/1.66    Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.27/1.66    Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, 
% 1.27/1.66    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.27/1.66    , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.27/1.66    , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.27/1.66    , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'( 
% 1.27/1.66    'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.27/1.66    , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ), 
% 1.27/1.66    =( Z, T ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', Y, X ), 
% 1.27/1.66    'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_1', X ), Y
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.27/1.66    , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.27/1.66     ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z, 
% 1.27/1.66    'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T, 
% 1.27/1.66    Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_0', X ), 
% 1.27/1.66    'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0', 
% 1.27/1.66    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 1.27/1.66    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ],
% 1.27/1.66     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ],
% 1.27/1.66     [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ],
% 1.27/1.66     [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ), 
% 1.27/1.66    'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ],
% 1.27/1.66     [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.27/1.66     [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.27/1.66     [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z ), X ) ],
% 1.27/1.66     [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X ) ],
% 1.27/1.66     [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y, Y ), 
% 1.27/1.66    'c_inter'( X, Z, Y ) ) ],
% 1.27/1.66     [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 'c_emptyset' ) ],
% 1.27/1.66     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.27/1.66    , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.27/1.66    , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y ), X ) ],
% 1.27/1.66     [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.27/1.66     [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ],
% 1.27/1.66     [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.27/1.66     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 'c_Relation_OId'
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 1.27/1.66    X ) ],
% 1.27/1.66     [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y, Y ), 
% 1.27/1.66    'c_Relation_Odiag'( X, Y ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 1.27/1.66    'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 1.27/1.66    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 1.27/1.66    Z ) ) ],
% 1.27/1.66     [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.27/1.66     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.27/1.66     ) ), =( X, Y ) ],
% 1.27/1.66     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.27/1.66     ],
% 1.27/1.66     [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y ) ) ), X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y ) ) ), 
% 1.27/1.66    'c_Relation_OId' ) ],
% 1.27/1.66     [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( Z, Z ) ) ), 
% 1.27/1.66    'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 'tc_prod'( Z
% 1.27/1.66    , Z ) ) ), Z, Z, Z ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 1.27/1.66    'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ), 
% 1.27/1.66    'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 1.27/1.66    'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.27/1.66    'c_1', X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_0', 
% 1.27/1.66    'c_1' ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_1', X
% 1.27/1.66     ), Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.27/1.66    'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 1.27/1.66    'c_divide'( 'c_0', Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.27/1.66    'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 1.27/1.66    'c_divide'( Z, 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, Z, 
% 1.27/1.66    X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( Z, 
% 1.27/1.66    T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.27/1.66    'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.27/1.66    'c_1' ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, 
% 1.27/1.66    'c_0', X ), 'c_1' ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, Z, 
% 1.27/1.66    X ), 'c_1' ) ), =( Z, Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 
% 1.27/1.66    'c_divide'( Y, Y, X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 1.27/1.66    'c_lessequals'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.27/1.66     ), 'c_1', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 1.27/1.66    'c_lessequals'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.27/1.66     ), 'c_1', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.27/1.66    'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.27/1.66    , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.27/1.66    , ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 'c_1', X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( 
% 1.27/1.66    Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( Z, 
% 1.27/1.66    X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X )
% 1.27/1.66    , 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'( 
% 1.27/1.66    Y, 'c_0', X ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'( 
% 1.27/1.66    Y, Z, X ) ) ), =( Z, Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 'c_1'
% 1.27/1.66    , 'c_divide'( Y, Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.27/1.66    'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.27/1.66    , 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', Y, X )
% 1.27/1.66    , 'c_times'( 'c_0', Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.27/1.66    , 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_0', X )
% 1.27/1.66    , 'c_times'( Z, 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_divide'( 
% 1.27/1.66    Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ), 
% 1.27/1.66    'c_1' ) ), =( Y, 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X ), 
% 1.27/1.66    'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ), 
% 1.27/1.66    'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 1.27/1.66    'c_HOL_Oinverse'( Y, X ), X ), Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.27/1.66    , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.27/1.66    , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.66    , 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 
% 1.27/1.66    Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.27/1.66     ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.27/1.66    , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 'c_HOL_Oinverse'( 
% 1.27/1.66    Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.27/1.66    , X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), 
% 1.27/1.66    'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.27/1.66    'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 'c_HOL_Oinverse'( 
% 1.27/1.66    Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.27/1.66    , X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), 
% 1.27/1.66    'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_uminus'( 
% 1.27/1.66    Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( Y
% 1.27/1.66    , Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z, 
% 1.27/1.66    X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.66    'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ), 
% 1.27/1.66    'c_0' ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X ), 
% 1.27/1.66    'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 'c_divide'( 
% 1.27/1.66    Z, Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 1.27/1.66    'c_lessequals'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 'c_divide'( 
% 1.27/1.66    Z, Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.27/1.66    , ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X ), X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.27/1.66    , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, X )
% 1.27/1.66    , 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.27/1.66    , X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'( 
% 1.27/1.66    Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'( 
% 1.27/1.66    'c_0', Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( Y
% 1.27/1.66    , 'c_1', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.27/1.66    , Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'( 
% 1.27/1.66    Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'( 
% 1.27/1.66    Y, 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( 
% 1.27/1.66    'c_1', Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.27/1.66    , Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'( 
% 1.27/1.66    'c_0', Y, X ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y, 
% 1.27/1.66    'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.27/1.66    Y, X ), 'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.27/1.66    'c_times'( Y, Z, X ), Y, X ), Z ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.27/1.66    Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.27/1.66    'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'( 
% 1.27/1.66    Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y, 
% 1.27/1.66    'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 1.27/1.66    'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.27/1.66    'c_times'( Z, Y, X ), Y, X ), Z ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 1.27/1.66    'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.27/1.66    'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.27/1.66    'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.27/1.66    , X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y, 'c_uminus'( 
% 1.27/1.66    Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'( 
% 1.27/1.66    'c_0', Y, X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'( 
% 1.27/1.66    Y, 'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.27/1.66    'c_lessequals'( 'c_1', 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.27/1.66    'c_1', 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 'c_1'
% 1.27/1.66    , Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1', 
% 1.27/1.66    'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z, X
% 1.27/1.66     ) ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_1', 
% 1.27/1.66    'c_0' ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_less'( 'c_0'
% 1.27/1.66    , 'c_1', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.27/1.66    Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_divide'( 
% 1.27/1.66    Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y
% 1.27/1.66    , Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y, 
% 1.27/1.66    'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.27/1.66    'c_divide'( Z, Y, X ), Y, X ), Z ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 'c_divide'( 
% 1.27/1.66    Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y, 
% 1.27/1.66    'c_divide'( Z, Y, X ), X ), Z ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 'c_divide'( 
% 1.27/1.66    'c_1', Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'( 
% 1.27/1.66    'c_1', 'c_0', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.27/1.66    , Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.27/1.66    'c_0', 'c_1', X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.27/1.66    'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.66    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.27/1.66     ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ), 
% 1.27/1.66    'c_SetInterval_OlessThan'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ), 
% 1.27/1.66    'c_SetInterval_OgreaterThan'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ), 
% 1.27/1.66    'c_SetInterval_OatMost'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.27/1.66    'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ), 
% 1.27/1.66    'c_SetInterval_OatLeast'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), =( 
% 1.27/1.66    'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), ~( 
% 1.27/1.66    'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastAtMost'( T
% 1.27/1.66    , Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_SetInterval_OatLeastAtMost'( 
% 1.27/1.66    Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.27/1.66    =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset' ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.27/1.66    , X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.27/1.66    'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastLessThan'( 
% 1.27/1.66    T, Z, X ), X ) ],
% 1.27/1.66     [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 'tc_nat' ), 
% 1.27/1.66    'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV' ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'( 
% 1.27/1.66    Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.27/1.66    'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 1.27/1.66    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 1.27/1.66    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.27/1.66     [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 'c_0', 
% 1.27/1.66    'c_emptyset', 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'( 
% 1.27/1.66    Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.27/1.66    'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 1.27/1.66    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.27/1.66    'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( 
% 1.27/1.66    Z, X ), 'tc_set'( X ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'( 
% 1.27/1.66    'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.27/1.66    , 'tc_IntDef_Oint' ) ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ), 'c_Suc'( X ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.27/1.66    , 'tc_IntDef_Oint' ) ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 1.27/1.66    'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 1.27/1.66    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, 
% 1.27/1.66    'c_plus'( X, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.27/1.66     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 1.27/1.66    'tc_nat' ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.27/1.66    =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, 
% 1.27/1.66    T, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.27/1.66    'c_lessequals'( Z, T, X ) ), 'c_in'( Z, 
% 1.27/1.66    'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.27/1.66    'c_less'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OgreaterThanLessThan'( T
% 1.27/1.66    , Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.27/1.66    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.27/1.66     ) ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.27/1.66    , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.27/1.66     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.66    , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 1.27/1.66    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.66    , =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ), 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ), 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 1.27/1.66    'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 1.27/1.66    'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.66    , 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.66    , ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( U, Y, X ), 
% 1.27/1.66    'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.27/1.66     [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 'c_emptyset' ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'( 
% 1.27/1.66    Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.27/1.66    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.27/1.66    , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.66    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 1.27/1.66    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.66    , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 1.27/1.66    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.27/1.66     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 'c_insert'( Y, 
% 1.27/1.66    'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ), 
% 1.27/1.66    'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.27/1.66     [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ), 
% 1.27/1.66    'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ],
% 1.27/1.66     [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 'c_union'( 
% 1.27/1.66    'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' ) ],
% 1.27/1.66     [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 'c_inter'( 
% 1.27/1.66    'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 'c_emptyset' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 'c_emptyset' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' ) ],
% 1.27/1.66     [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.27/1.66     ), =( X, Z ) ],
% 1.27/1.66     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 
% 1.27/1.66    Z ) ) ],
% 1.27/1.66     [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 1.27/1.66    'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.27/1.66     ],
% 1.27/1.66     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'( 
% 1.27/1.66    Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ), 
% 1.27/1.67    'c_inter'( X, Y, Z ) ) ],
% 1.27/1.67     [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.27/1.67     [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.27/1.67     [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_emptyset' )
% 1.27/1.67     ],
% 1.27/1.67     [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ],
% 1.27/1.67     [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ), 
% 1.27/1.67    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( X, Y, 
% 1.27/1.67    'tc_set'( Z ) ), 'c_emptyset' ) ],
% 1.27/1.67     [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 'tc_set'( Z ) ), 
% 1.27/1.67    'c_minus'( X, Y, 'tc_set'( Z ) ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.27/1.67     ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.27/1.67    , Z ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.27/1.67    , 'tc_set'( Z ) ), Z ) ],
% 1.27/1.67     [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z ), 'tc_set'( Z
% 1.27/1.67     ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ],
% 1.27/1.67     [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV' ) ],
% 1.27/1.67     [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.27/1.67     [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ],
% 1.27/1.67     [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ],
% 1.27/1.67     [ =( 'c_inter'( X, X, Y ), X ) ],
% 1.27/1.67     [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.27/1.67     [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'( 
% 1.27/1.67    T, Y, Z ), Z ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ), 
% 1.27/1.67    'c_lessequals'( X, Y, 'tc_set'( T ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ), 
% 1.27/1.67    'c_lessequals'( X, Z, 'tc_set'( T ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T, 
% 1.27/1.67    'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T, Y, Z ), 'tc_set'( Z )
% 1.27/1.67     ) ],
% 1.27/1.67     [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z ), 'c_UNIV'
% 1.27/1.67     ) ), =( X, 'c_UNIV' ) ],
% 1.27/1.67     [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.27/1.67    , =( 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.27/1.67     [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV' ) ), =( 
% 1.27/1.67    'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 'c_Inter'( Y, Z )
% 1.27/1.67     ) ), =( X, 'c_UNIV' ) ],
% 1.27/1.67     [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.27/1.67    , =( 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.27/1.67     [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV' ) ), =( 
% 1.27/1.67    'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.27/1.67     [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.27/1.67     ) ), 'c_in'( T, X, Z ) ],
% 1.27/1.67     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInter__iff__1'( X
% 1.27/1.67    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 1.27/1.67    'c_Inter'( Y, Z ), Z ) ],
% 1.27/1.67     [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_inter'( X, 
% 1.27/1.67    'c_Inter'( Y, Z ), Z ) ) ],
% 1.27/1.67     [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( X, Z ), 
% 1.27/1.67    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ],
% 1.27/1.67     [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.27/1.67     [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 'c_emptyset'
% 1.27/1.67    , 'tc_set'( X ) ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.27/1.67    , 'tc_set'( Z ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.27/1.67    , 'tc_set'( Z ) ) ],
% 1.27/1.67     [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.27/1.67     [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X, 
% 1.27/1.67    Y, Z ) ) ],
% 1.27/1.67     [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X, 
% 1.27/1.67    Y, Z ) ) ],
% 1.27/1.67     [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.27/1.67     [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ],
% 1.27/1.67     [ =( 'c_union'( X, X, Y ), X ) ],
% 1.27/1.67     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.27/1.67     [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 1.27/1.67     [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 1.27/1.67    X, Y, T ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.27/1.67     [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'( 
% 1.27/1.67    Y, T, Z ), Z ) ) ],
% 1.27/1.67     [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( Y, 'c_union'( 
% 1.27/1.67    X, Z, T ), T ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 
% 1.27/1.67    'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 
% 1.27/1.67    'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y, 
% 1.27/1.67    'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.27/1.67     ) ],
% 1.27/1.67     [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ],
% 1.27/1.67     [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.27/1.67     [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( 
% 1.27/1.67    'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ],
% 1.27/1.67     [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z ), 
% 1.27/1.67    'c_emptyset' ) ), =( X, 'c_emptyset' ) ],
% 1.27/1.67     [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 'tc_set'( Y ) ), 
% 1.27/1.67    =( 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 'c_emptyset' ) ), =( 
% 1.27/1.67    'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 1.27/1.67    'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 1.27/1.67    'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.27/1.67    , 'c_Union'( T, Z ), Z ) ],
% 1.27/1.67     [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( X, 
% 1.27/1.67    'c_Union'( Y, Z ), Z ) ) ],
% 1.27/1.67     [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), =( X, 
% 1.27/1.67    'c_emptyset' ) ],
% 1.27/1.67     [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y ), X ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X, T, Z ), Z )
% 1.27/1.67    , 'c_emptyset' ) ) ],
% 1.27/1.67     [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 'c_emptyset' ) ), =( 
% 1.27/1.67    'c_inter'( X, Z, T ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, X, Z ), =( 
% 1.27/1.67    'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y, 'c_insert'( 
% 1.27/1.67    X, T, Z ), Z ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), T ) ) ), =( 
% 1.27/1.67    'c_emptyset', 'c_inter'( X, Z, T ) ) ],
% 1.27/1.67     [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, X, Z ), =( 
% 1.27/1.67    'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ],
% 1.27/1.67     [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( Y ) ), X ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 'c_Union'( Y, 
% 1.27/1.67    Z ) ) ), =( X, 'c_emptyset' ) ],
% 1.27/1.67     [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 'tc_set'( Y ) ), 
% 1.27/1.67    =( 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.27/1.67     [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 'c_emptyset' ) ), =( 
% 1.27/1.67    'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.27/1.67     [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z ), Y, 
% 1.27/1.67    'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ],
% 1.27/1.67     [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset', Z ), 
% 1.27/1.67    'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ],
% 1.27/1.67     [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( X, Y, Z ) )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T, Z ), Y, Z )
% 1.27/1.67    , 'c_emptyset' ) ) ],
% 1.27/1.67     [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 'c_emptyset' ) ), =( 
% 1.27/1.67    'c_inter'( Y, T, Z ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, Y, Z ), =( 
% 1.27/1.67    'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, 
% 1.27/1.67    T, Z ), Y, Z ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ) ) ), =( 
% 1.27/1.67    'c_emptyset', 'c_inter'( Y, T, Z ) ) ],
% 1.27/1.67     [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, Y, Z ), =( 
% 1.27/1.67    'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.27/1.67     ) ],
% 1.27/1.67     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.27/1.67     [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z ), Z ), 
% 1.27/1.67    'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ],
% 1.27/1.67     [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'( 
% 1.27/1.67    X, T, Z ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 
% 1.27/1.67    'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 
% 1.27/1.67    'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.27/1.67     [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =( 
% 1.27/1.67    Z, X ) ],
% 1.27/1.67     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), 
% 1.27/1.67    'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.27/1.67     ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.27/1.67     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =( 
% 1.27/1.67    X, T ) ],
% 1.27/1.67     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), 
% 1.27/1.67    'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.27/1.67     ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.27/1.67     [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), =( X, 
% 1.27/1.67    'c_emptyset' ) ],
% 1.27/1.67     [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X ) ) ],
% 1.27/1.67     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.27/1.67    , =( X, T ) ],
% 1.27/1.67     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.27/1.67    , =( X, T ) ],
% 1.27/1.67     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.27/1.67     ],
% 1.27/1.67     [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.27/1.67     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, 
% 1.27/1.67    Y ), 'c_UNIV' ) ],
% 1.27/1.67     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.27/1.67     ), 'c_UNIV' ) ],
% 1.27/1.67     [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 1.27/1.67    'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'( 
% 1.27/1.67    X, Y ) ) ],
% 1.27/1.67     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ), 
% 1.27/1.67    'c_Relation_OId' ) ],
% 1.27/1.67     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 1.27/1.67    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.27/1.67     [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 1.27/1.67    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ), 
% 1.27/1.67    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.27/1.67     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 'c_Relation_OId', 
% 1.27/1.67    'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.27/1.67     ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.27/1.67     [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 'c_emptyset' )
% 1.27/1.67     ],
% 1.27/1.67     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.27/1.67     ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.27/1.67     [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 'c_Relation_OId', 
% 1.27/1.67    'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, 
% 1.27/1.67    Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.27/1.67     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.27/1.67    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.27/1.67     ) ],
% 1.27/1.67     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.27/1.67    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'( 
% 1.27/1.67    T, Z ) ],
% 1.27/1.67     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.27/1.67    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 1.27/1.67    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.27/1.67     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.27/1.67    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 1.27/1.67    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.27/1.67    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.27/1.67     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.27/1.67    , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.27/1.67    , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 1.27/1.67    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.27/1.67     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.27/1.67    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 1.27/1.67    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.27/1.67    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.27/1.67     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, Z
% 1.27/1.67    , Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 1.27/1.67    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.27/1.67     ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.27/1.67     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 
% 1.27/1.67    'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 
% 1.27/1.67    'tc_nat' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OFriend'( X ) ) )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OServer' ) )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OSpy' ) ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OServer' ) ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OSpy' ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OFriend'( X ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OFriend'( Y )
% 1.27/1.67     ) ), =( X, Y ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OServer', 'tc_Message_Oagent' ), 
% 1.27/1.67    'c_0' ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OFriend'( X ), 'tc_Message_Oagent'
% 1.27/1.67     ), 'c_0' ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OSpy', 'tc_Message_Oagent' ), 
% 1.27/1.67    'c_0' ) ],
% 1.27/1.67     [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ],
% 1.27/1.67     [ ~( =( 'c_Message_OinvKey'( X ), 'c_Message_OinvKey'( Y ) ) ), =( X, Y
% 1.27/1.67     ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_union'( 'c_Message_OkeysFor'( X ), 'c_Message_OkeysFor'( Y ), 'tc_nat'
% 1.27/1.67     ) ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.27/1.67    Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OinvKey'( X ), 
% 1.27/1.67    'c_Message_OkeysFor'( Z ), 'tc_nat' ) ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.27/1.67    Z, 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y
% 1.27/1.67    , 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Y ) ) ), 
% 1.27/1.67    =( X, Y ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Omsg_ONumber'( Y ) ) )
% 1.27/1.67    , =( X, Y ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Omsg_ONonce'( Y ) ) ), 
% 1.27/1.67    =( X, Y ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( Y ) ) ), =( X
% 1.27/1.67    , Y ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_Omsg_OHash'( Y ) ) ), 
% 1.27/1.67    =( X, Y ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.27/1.67     ) ), =( X, Z ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.27/1.67     ) ), =( Y, T ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.27/1.67     ) ), =( X, Z ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.27/1.67     ) ), =( Y, T ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OAgent'( X ), 'tc_Message_Omsg' ), 
% 1.27/1.67    'c_0' ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONumber'( X ), 'tc_Message_Omsg' ), 
% 1.27/1.67    'c_0' ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONonce'( X ), 'tc_Message_Omsg' ), 
% 1.27/1.67    'c_0' ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OKey'( X ), 'tc_Message_Omsg' ), 
% 1.27/1.67    'c_0' ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OHash'( X ), 'tc_Message_Omsg' ), 
% 1.27/1.67    'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ), 
% 1.27/1.67    'tc_nat' ) ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OMPair'( X, Y ), 'tc_Message_Omsg' )
% 1.27/1.67    , 'c_plus'( 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 
% 1.27/1.67    'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'tc_nat' ), 'c_Suc'( 'c_0' ), 
% 1.27/1.67    'tc_nat' ) ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OCrypt'( X, Y ), 'tc_Message_Omsg' )
% 1.27/1.67    , 'c_plus'( 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ), 
% 1.27/1.67    'tc_nat' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( 
% 1.27/1.67    Y ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ), 'tc_Message_Omsg' )
% 1.27/1.67     ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.27/1.67     [ =( 'c_union'( X, 'c_union'( Y, X, Z ), Z ), 'c_union'( Y, X, Z ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad', 
% 1.27/1.67    'tc_Message_Oagent' ) ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad', 'tc_Message_Oagent' )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 1.27/1.67    'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.27/1.67    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OGets'( T, U
% 1.27/1.67     ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.27/1.67     ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_ONotes'( T, U
% 1.27/1.67     ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.27/1.67     ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.27/1.67     ) ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OGets'( Z, T )
% 1.27/1.67     ) ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.27/1.67    , W ) ) ), =( X, T ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.27/1.67    , W ) ) ), =( Y, U ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.27/1.67    , W ) ) ), =( Z, W ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.27/1.67     ), =( X, Z ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.27/1.67     ), =( Y, T ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.27/1.67     ) ), =( X, Z ) ],
% 1.27/1.67     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.27/1.67     ) ), =( Y, T ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'tc_Event_Oevent'
% 1.27/1.67     ), 'c_0' ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OGets'( X, Y ), 'tc_Event_Oevent' )
% 1.27/1.67    , 'c_0' ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Event_Oevent_ONotes'( X, Y ), 'tc_Event_Oevent' )
% 1.27/1.67    , 'c_0' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 
% 1.27/1.67    'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OKey'( 'v_sko__uhi'( Y, X ) ), Y, 'tc_Message_Omsg' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 
% 1.27/1.67    'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), =( X, 
% 1.27/1.67    'c_Message_OinvKey'( 'v_sko__uhi'( Y, X ) ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ) ), 'c_in'( X, 
% 1.27/1.67    'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OkeysFor'( 
% 1.27/1.67    'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.27/1.67     [ =( 'c_Event_Oknows'( X, 'c_List_Olist_ONil' ), 'c_Event_OinitState'( X
% 1.27/1.67     ) ) ],
% 1.27/1.67     [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.27/1.67    'c_Event_Oevent_OGets'( X, Y ), Z, 'tc_Event_Oevent' ) ), 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), =( 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.27/1.67    'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_insert'( Y
% 1.27/1.67    , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), =( 'c_Event_Oknows'( 
% 1.27/1.67    'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X
% 1.27/1.67    , Y ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oknows'( 
% 1.27/1.67    'c_Message_Oagent_OSpy', Z ) ) ],
% 1.27/1.67     [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.27/1.67    'c_Event_Oevent_OSays'( X, Y, Z ), T, 'tc_Event_Oevent' ) ), 'c_insert'( 
% 1.27/1.67    Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) )
% 1.27/1.67     ],
% 1.27/1.67     [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( X, Y
% 1.27/1.67     ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oused'( Z ) ) ],
% 1.27/1.67     [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X, 
% 1.27/1.67    Y ), Z, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'( 'c_insert'( 
% 1.27/1.67    Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( X, Y
% 1.27/1.67    , Z ), T, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'( 
% 1.27/1.67    'c_insert'( Z, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( T )
% 1.27/1.67    , 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 1.27/1.67    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), =( 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.27/1.67    'c_insert'( X, Y, 'tc_Message_Omsg' ) ) ), 'c_Message_Osynth'( 
% 1.27/1.67    'c_Message_Oanalz'( Y ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( X
% 1.27/1.67    , Z ) ],
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( Y
% 1.27/1.67    , T ) ],
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.27/1.67    , =( Z, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.27/1.67    , =( T, Y ) ],
% 1.27/1.67     [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( 
% 1.27/1.67    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'( 
% 1.27/1.67    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.27/1.67    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.27/1.67    'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.27/1.67    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'( 
% 1.27/1.67    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.27/1.67    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.27/1.67    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.27/1.67    'c_Message_Omsg_OMPair'( Z, X ) ), 'c_Message_Oanalz'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.27/1.67    Y ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_OHPair'( Z, X ), 
% 1.27/1.67    'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OAgent'( Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T ) ) )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'( Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'( Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONonce'( Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONumber'( Z ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.27/1.67    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.27/1.67    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Oanalz'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.27/1.67    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.27/1.67    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.27/1.67    'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.27/1.67    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.27/1.67    , =( X, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( Z, T ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.27/1.67    , =( Y, T ) ],
% 1.27/1.67     [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'( 
% 1.27/1.67    'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( 
% 1.27/1.67    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.27/1.67    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( 
% 1.27/1.67    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.27/1.67    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( 
% 1.27/1.67    'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.27/1.67    Y ) ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 
% 1.27/1.67    'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' )
% 1.27/1.67     ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( 
% 1.27/1.67    Y ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 
% 1.27/1.67    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), =( 'c_Message_Oanalz'( 
% 1.27/1.67    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( 
% 1.27/1.67    'c_insert'( Z, Y, 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 
% 1.27/1.67    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), =( 'c_Message_Oanalz'( 
% 1.27/1.67    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.27/1.67    X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oanalz'( 
% 1.27/1.67    X ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ), 
% 1.27/1.67    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'( 
% 1.27/1.67    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.27/1.67    'c_Message_Oanalz'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ), 
% 1.27/1.67    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oanalz'( Y ) ), 'tc_nat' )
% 1.27/1.67    , =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 1.27/1.67    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.27/1.67    , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.27/1.67    'c_Message_Oanalz'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.27/1.67    , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ), 
% 1.27/1.67    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ), 
% 1.27/1.67    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'( 
% 1.27/1.67    X ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y ), 
% 1.27/1.67    'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oanalz'( 
% 1.27/1.67    Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'( 
% 1.27/1.67    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oanalz'( X ), 
% 1.27/1.67    'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_Message_Osynth'( X ) ), 'c_union'( 
% 1.27/1.67    'c_Message_Oanalz'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z, 'tc_Message_Omsg' )
% 1.27/1.67     ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'( 
% 1.27/1.67    X ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ), =( 
% 1.27/1.67    'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_Message_Oparts'( Y ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'( 
% 1.27/1.67    X ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ), 
% 1.27/1.67    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), Z
% 1.27/1.67    , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.27/1.67    'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'( 
% 1.27/1.67    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.27/1.67    'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ), 
% 1.27/1.67    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 1.27/1.67    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.27/1.67    , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.27/1.67    'c_Message_Oparts'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.27/1.67    , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ), 
% 1.27/1.67    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y, 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ), 
% 1.27/1.67    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 1.27/1.67    'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oparts'( 
% 1.27/1.67    Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 
% 1.27/1.67    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ), 
% 1.27/1.67    'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ), 'c_union'( 
% 1.27/1.67    'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~( 
% 1.27/1.67    'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 
% 1.27/1.67    Y ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~( 
% 1.27/1.67    'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Osynth'( 
% 1.27/1.67    Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'( 
% 1.27/1.67    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 1.27/1.67    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Event_Oused'( 
% 1.27/1.67    'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.27/1.67     ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.27/1.67     ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( 
% 1.27/1.67    'c_Event_OinitState'( Y ) ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 
% 1.27/1.67    'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( Y, X )
% 1.27/1.67     ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'( 
% 1.27/1.67    'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.27/1.67    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), =( 
% 1.27/1.67    'c_Message_OinvKey'( X ), X ) ],
% 1.27/1.67     [ =( 'c_Message_OinvKey'( 'c_Public_OshrK'( X ) ), 'c_Public_OshrK'( X )
% 1.27/1.67     ) ],
% 1.27/1.67     [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 1.27/1.67    'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.27/1.67     [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 1.27/1.67    'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.27/1.67     [ ~( =( 'c_Public_Okeymode_OSignature', 'c_Public_Okeymode_OEncryption'
% 1.27/1.67     ) ) ],
% 1.27/1.67     [ ~( =( 'c_Public_Okeymode_OEncryption', 'c_Public_Okeymode_OSignature'
% 1.27/1.67     ) ) ],
% 1.27/1.67     [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 1.27/1.67    'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.27/1.67     [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 1.27/1.67    'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OSignature', 'tc_Public_Okeymode'
% 1.27/1.67     ), 'c_0' ) ],
% 1.27/1.67     [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OEncryption', 
% 1.27/1.67    'tc_Public_Okeymode' ), 'c_0' ) ],
% 1.27/1.67     [ =( 'c_Message_OkeysFor'( 'c_Message_Oparts'( 'c_Event_OinitState'( X )
% 1.27/1.67     ) ), 'c_emptyset' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.27/1.67    'c_Message_OsymKeys', 'tc_nat' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OsymKeys', 
% 1.27/1.67    'tc_nat' ) ) ],
% 1.27/1.67     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( 
% 1.27/1.67    'c_Public_Okeymode_OEncryption', X ) ), 'c_Public_OshrK'( Y ) ) ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.27/1.67    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_OinitState'( Y ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'( 
% 1.27/1.67    'c_Public_OpublicKey'( Y, Z ) ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.27/1.67    'c_Public_OpublicKey'( Z, T ) ) ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.27/1.67    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_Oused'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z ) ) ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.27/1.67    'c_Event_OinitState'( Z ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.27/1.67    , =( X, Z ) ],
% 1.27/1.67     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.27/1.67    , =( Y, T ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.27/1.67    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'( 
% 1.27/1.67    'c_Public_OpublicKey'( Z, T ) ) ) ) ],
% 1.27/1.67     [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.27/1.67    'c_Event_OinitState'( X ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.27/1.67    'c_Event_Oknows'( X, Y ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.27/1.67    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ), =( X, Y ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.27/1.67    'c_Public_OshrK'( Z ) ) ) ],
% 1.27/1.67     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OshrK'( Z ) ) ) ],
% 1.27/1.67     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' )
% 1.27/1.67     ), 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'( 
% 1.27/1.67    'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 
% 1.27/1.67    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'( 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg'
% 1.27/1.67     ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Y, 'c_Message_Osynth'( 
% 1.27/1.67    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_union'( 
% 1.27/1.67    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'c_Message_Oparts'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 1.27/1.67    'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.67     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X, 
% 1.27/1.67    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'( 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.67     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( Y ) ), 
% 1.27/1.67    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'( Y, 
% 1.27/1.67    'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Message_Oanalz'( 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.67     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( Y ) ), 
% 1.27/1.67    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.27/1.67    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'( Y, 
% 1.27/1.67    'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Message_Oparts'( 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.67     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'( 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 
% 1.27/1.67    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y, 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'( 
% 1.27/1.67    'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 1.27/1.67    Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X, 
% 1.27/1.67    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.67     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X, 
% 1.27/1.67    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 
% 1.27/1.67    'c_Event_Oevent_OSays'( 'v_sko__wPE'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 1.27/1.67    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.27/1.67     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.27/1.67    'c_Event_Oevent_OGets'( Z, T ), U, 'tc_Event_Oevent' ) ) ), 
% 1.27/1.67    'c_Yahalom_OKeyWithNonce'( X, Y, U ) ],
% 1.27/1.67     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 'c_Yahalom_OKeyWithNonce'( 
% 1.27/1.67    X, Y, 'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( T, U ), Z, 
% 1.27/1.67    'tc_Event_Oevent' ) ) ],
% 1.27/1.67     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.27/1.67    'c_Event_Oevent_ONotes'( Z, T ), U, 'tc_Event_Oevent' ) ) ), 
% 1.27/1.67    'c_Yahalom_OKeyWithNonce'( X, Y, U ) ],
% 1.27/1.67     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 'c_Yahalom_OKeyWithNonce'( 
% 1.27/1.67    X, Y, 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( T, U ), Z, 
% 1.27/1.67    'tc_Event_Oevent' ) ) ],
% 1.27/1.67     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.27/1.67    'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ), 
% 1.27/1.67    'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( 'c_Message_Oagent_OServer', Z )
% 1.27/1.67     ],
% 1.27/1.67     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.27/1.67    'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ), 
% 1.27/1.67    'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( U, 'c_Message_Omsg_OMPair'( 
% 1.27/1.67    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 
% 1.27/1.67    'c_Message_Omsg_OAgent'( 'v_sko__2VZ'( T, X, Y, U ) ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'v_sko__2Va'( T, X, Y, U ), 
% 1.27/1.67    'c_Message_Omsg_ONonce'( Y ) ) ) ) ), 'v_sko__2Vb'( T, X, Y, U ) ) ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.27/1.67    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Z, 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_ONonce'( Y ) ) ) ) ), W ) ), 
% 1.27/1.67    V0, 'tc_Event_Oevent' ) ) ],
% 1.27/1.67     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 'c_Yahalom_OKeyWithNonce'( 
% 1.27/1.67    X, Y, 'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( T, U, W ), Z, 
% 1.27/1.67    'tc_Event_Oevent' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.67     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.27/1.67    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.27/1.67    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( T ) ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.27/1.67    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'( 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), ~( 
% 1.27/1.67    'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( Y, 
% 1.27/1.67    'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 1.27/1.67    ,
% 1.27/1.67     [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 
% 1.27/1.67    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Event_Oknows'( 
% 1.27/1.67    'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y ), 'c_Message_Oanalz'( 
% 1.27/1.67    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ) ), 
% 1.27/1.67    'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 1.27/1.67    , Z ) ), 'tc_Message_Omsg' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( 
% 1.27/1.67    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.27/1.67    'c_Message_OkeysFor'( Z ), 'tc_nat' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.67     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.27/1.67    'c_Message_Omsg_OKey'( T ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 1.27/1.67    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.27/1.67    'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.27/1.67    'c_Message_Oagent_OServer', Z, 'c_Message_Omsg_OMPair'( 
% 1.27/1.67    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.27/1.67    'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.27/1.67    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( 
% 1.27/1.67    'c_Message_Omsg_ONonce'( 'v_sko__2ji'( Z, Y, T, X ) ), 
% 1.27/1.67    'c_Message_Omsg_ONonce'( 'v_sko__2jj'( Z, Y, T, X ) ) ) ) ) ), 
% 1.27/1.67    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.27/1.67    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 
% 1.27/1.67    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.27/1.67     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.67     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.27/1.67    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.27/1.67    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.67    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.27/1.67    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.27/1.67    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.27/1.67    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.27/1.68    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V1, Y ) ],
% 1.27/1.68     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.68     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.27/1.68    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.27/1.68    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.27/1.68    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V2, Z ) ],
% 1.27/1.68     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.68     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.27/1.68    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.27/1.68    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.27/1.68    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V3, U ) ],
% 1.27/1.68     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.27/1.68     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.27/1.68    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.27/1.68    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.27/1.68    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.27/1.68    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V4, W ) ],
% 1.27/1.68     [ 'c_in'( 'v_evsf', 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.27/1.68    'tc_Event_Oevent' ) ) ],
% 1.27/1.68     [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.27/1.68    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evsf' ) ) ), 
% 1.27/1.68    'tc_Message_Omsg' ) ],
% 1.27/1.68     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oanalz'( 
% 1.27/1.68    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evsf' ) ), 
% 1.27/1.68    'tc_Message_Omsg' ) ) ],
% 1.27/1.68     [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 'c_Message_Omsg_ONonce'( 
% 1.27/1.68    'v_NB' ) ), 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_Event_Oknows'( 
% 1.27/1.68    'c_Message_Oagent_OSpy', 'v_evsf' ), 'tc_Message_Omsg' ) ), 
% 1.27/1.68    'tc_Message_Omsg' ) ],
% 1.27/1.68     [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 1.27/1.68    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 1.27/1.68    'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_insert'( 'v_X'
% 1.27/1.68    , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evsf' ), 
% 1.27/1.68    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ],
% 1.27/1.68     [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 1.27/1.68     [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 'c_Message_Omsg_OMPair'( 
% 1.27/1.68    'v_Xa', 'c_Message_Omsg_OCrypt'( 'v_K', 'c_Message_Omsg_ONonce'( 'v_NB' )
% 1.27/1.68     ) ) ), 'c_List_Oset'( 'v_evsf', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 1.27/1.68     ],
% 1.27/1.68     [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 1.27/1.69    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K', 
% 1.27/1.69    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 1.27/1.69    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ],
% 1.27/1.69     [ ~( =( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K', 
% 1.27/1.69    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), 'v_X' ) ), ~( =( 'v_B', 'v_Ba' ) )
% 1.27/1.69    , ~( =( 'v_A', 'c_Message_Oagent_OSpy' ) ) ]
% 1.27/1.69  ] .
% 1.27/1.69  
% 1.27/1.69  
% 1.27/1.69  percentage equality = 0.226264, percentage horn = 0.909183
% 1.27/1.69  This is a problem with some equality
% 1.27/1.69  
% 1.27/1.69  
% 1.27/1.69  
% 1.27/1.69  Options Used:
% 1.27/1.69  
% 1.27/1.69  useres =            1
% 1.27/1.69  useparamod =        1
% 1.27/1.69  useeqrefl =         1
% 1.27/1.69  useeqfact =         1
% 1.27/1.69  usefactor =         1
% 1.27/1.69  usesimpsplitting =  0
% 1.27/1.69  usesimpdemod =      5
% 1.27/1.69  usesimpres =        3
% 1.27/1.69  
% 1.27/1.69  resimpinuse      =  1000
% 1.27/1.69  resimpclauses =     20000
% 1.27/1.69  substype =          eqrewr
% 1.27/1.69  backwardsubs =      1
% 1.27/1.69  selectoldest =      5
% 1.27/1.69  
% 1.27/1.69  litorderings [0] =  split
% 1.27/1.69  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.27/1.69  
% 1.27/1.69  termordering =      kbo
% 1.27/1.69  
% 1.27/1.69  litapriori =        0
% 1.27/1.69  termapriori =       1
% 1.27/1.69  litaposteriori =    0
% 1.27/1.69  termaposteriori =   0
% 1.27/1.69  demodaposteriori =  0
% 1.27/1.69  ordereqreflfact =   0
% 1.27/1.69  
% 1.27/1.69  litselect =         negord
% 1.27/1.69  
% 1.27/1.69  maxweight =         15
% 1.27/1.69  maxdepth =          30000
% 1.27/1.69  maxlength =         115
% 1.27/1.69  maxnrvars =         195
% 1.27/1.69  excuselevel =       1
% 1.27/1.69  increasemaxweight = 1
% 1.27/1.69  
% 1.27/1.69  maxselected =       10000000
% 1.27/1.69  maxnrclauses =      10000000
% 1.27/1.69  
% 1.27/1.69  showgenerated =    0
% 1.27/1.69  showkept =         0
% 1.27/1.69  showselected =     0
% 1.27/1.69  showdeleted =      0
% 1.27/1.69  showresimp =       1
% 1.27/1.69  showstatus =       2000
% 1.27/1.69  
% 1.27/1.69  prologoutput =     1
% 1.27/1.69  nrgoals =          5000000
% 1.27/1.69  totalproof =       1
% 1.27/1.69  
% 1.27/1.69  Symbols occurring in the translation:
% 1.27/1.69  
% 1.27/1.69  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.27/1.69  .  [1, 2]      (w:1, o:297, a:1, s:1, b:0), 
% 1.27/1.69  !  [4, 1]      (w:0, o:191, a:1, s:1, b:0), 
% 1.27/1.69  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.27/1.69  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_OLeaf'  [42, 3]      (w:1, o:407, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_ONumb'  [44, 3]      (w:1, o:408, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_Odprod'  [48, 4]      (w:1, o:474, a:1, s:1, b:0), 
% 1.27/1.69  'tc_Datatype__Universe_Onode'  [49, 2]      (w:1, o:322, a:1, s:1, b:0), 
% 1.27/1.69  'tc_set'  [50, 1]      (w:1, o:196, a:1, s:1, b:0), 
% 1.27/1.69  'tc_prod'  [51, 2]      (w:1, o:323, a:1, s:1, b:0), 
% 1.27/1.69  'c_in'  [52, 3]      (w:1, o:409, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OdprodE__1'  [53, 5]      (w:1, o:510, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OdprodE__2'  [54, 5]      (w:1, o:511, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_OScons'  [55, 4]      (w:1, o:475, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OdprodE__3'  [56, 5]      (w:1, o:512, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OdprodE__4'  [57, 5]      (w:1, o:513, a:1, s:1, b:0), 
% 1.27/1.69  'c_Pair'  [58, 4]      (w:1, o:476, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_Odsum'  [64, 4]      (w:1, o:477, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OdsumE__1'  [65, 4]      (w:1, o:482, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_OIn0'  [66, 3]      (w:1, o:410, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OdsumE__2'  [67, 4]      (w:1, o:483, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OdsumE__3'  [68, 4]      (w:1, o:484, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_OIn1'  [69, 3]      (w:1, o:411, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OdsumE__4'  [70, 4]      (w:1, o:485, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_Ouprod'  [73, 4]      (w:1, o:486, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OuprodE__1'  [74, 5]      (w:1, o:514, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OuprodE__2'  [75, 5]      (w:1, o:515, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_Ousum'  [77, 4]      (w:1, o:487, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OusumE__1'  [78, 4]      (w:1, o:488, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OusumE__2'  [79, 4]      (w:1, o:489, a:1, s:1, b:0), 
% 1.27/1.69  'c_0'  [81, 0]      (w:1, o:56, a:1, s:1, b:0), 
% 1.27/1.69  'tc_nat'  [82, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 1.27/1.69  'c_Divides_Oop_Advd'  [83, 3]      (w:1, o:412, a:1, s:1, b:0), 
% 1.27/1.69  'c_Suc'  [84, 1]      (w:1, o:197, a:1, s:1, b:0), 
% 1.27/1.69  'c_times'  [86, 3]      (w:1, o:414, a:1, s:1, b:0), 
% 1.27/1.69  'c_Divides_Oop_Amod'  [88, 3]      (w:1, o:415, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Omod__eq__0D__dest__1'  [89, 2]      (w:1, o:345, a:1, s:1, b:0), 
% 1.27/1.69  'c_emptyset'  [90, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 1.27/1.69  'c_Finite__Set_OFinites'  [91, 0]      (w:1, o:65, a:1, s:1, b:0), 
% 1.27/1.69  'c_insert'  [93, 3]      (w:1, o:416, a:1, s:1, b:0), 
% 1.27/1.69  'c_inter'  [96, 3]      (w:1, o:417, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Ofinite__Union__1'  [97, 2]      (w:1, o:347, a:1, s:1, b:0), 
% 1.27/1.69  'c_Union'  [98, 2]      (w:1, o:353, a:1, s:1, b:0), 
% 1.27/1.69  'c_GCD_Ogcd'  [100, 1]      (w:1, o:198, a:1, s:1, b:0), 
% 1.27/1.69  'c_Infinite__Set_Oatmost__one'  [102, 2]      (w:1, o:356, a:1, s:1, b:0), 
% 1.27/1.69    
% 1.27/1.69  'c_IntDef_Oint'  [103, 1]      (w:1, o:199, a:1, s:1, b:0), 
% 1.27/1.69  'tc_IntDef_Oint'  [104, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 1.27/1.69  'c_uminus'  [105, 2]      (w:1, o:357, a:1, s:1, b:0), 
% 1.27/1.69  'c_lessequals'  [106, 3]      (w:1, o:418, a:1, s:1, b:0), 
% 1.27/1.69  'c_less'  [107, 3]      (w:1, o:419, a:1, s:1, b:0), 
% 1.27/1.69  'c_1'  [108, 0]      (w:1, o:81, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Ozmod__eq__0D__dest__1'  [109, 2]      (w:1, o:358, a:1, s:1, b:0)
% 1.27/1.69    , 
% 1.27/1.69  'c_List_Oremdups'  [111, 2]      (w:1, o:324, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Odistinct'  [112, 2]      (w:1, o:328, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Oset'  [113, 2]      (w:1, o:331, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Olists'  [114, 2]      (w:1, o:333, a:1, s:1, b:0), 
% 1.27/1.69  'tc_List_Olist'  [115, 1]      (w:1, o:200, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Oin__listsI__1'  [117, 3]      (w:1, o:435, a:1, s:1, b:0), 
% 1.27/1.69  'c_Nat_Osize'  [118, 2]      (w:1, o:371, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Olist_OCons'  [120, 3]      (w:1, o:420, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Olistrel'  [121, 2]      (w:1, o:332, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Olistrel__Cons1__1'  [122, 5]      (w:1, o:516, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Olistrel__Cons1__2'  [123, 5]      (w:1, o:517, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Olistrel__Cons2__1'  [124, 5]      (w:1, o:518, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Olistrel__Cons2__2'  [125, 5]      (w:1, o:519, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Olist_ONil'  [126, 0]      (w:1, o:84, a:1, s:1, b:0), 
% 1.27/1.69  'c_Wellfounded__Recursion_Owf'  [128, 2]      (w:1, o:372, a:1, s:1, b:0), 
% 1.27/1.69    
% 1.27/1.69  'c_List_Olenlex'  [129, 2]      (w:1, o:334, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Olex'  [130, 2]      (w:1, o:335, a:1, s:1, b:0), 
% 1.27/1.69  'class_Orderings_Oorder'  [131, 1]      (w:1, o:204, a:1, s:1, b:0), 
% 1.27/1.69  'c_Relation_ODomain'  [132, 3]      (w:1, o:436, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_ODomainE__1'  [133, 4]      (w:1, o:490, a:1, s:1, b:0), 
% 1.27/1.69  'c_Relation_OId'  [136, 0]      (w:1, o:86, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OIdE__1'  [137, 2]      (w:1, o:359, a:1, s:1, b:0), 
% 1.27/1.69  'c_Relation_OImage'  [138, 4]      (w:1, o:491, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OImageE__1'  [139, 5]      (w:1, o:520, a:1, s:1, b:0), 
% 1.27/1.69  'c_Relation_ORange'  [140, 3]      (w:1, o:437, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_ORangeE__1'  [141, 4]      (w:1, o:492, a:1, s:1, b:0), 
% 1.27/1.69  'c_Relation_Oconverse'  [143, 3]      (w:1, o:438, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OconverseE__1'  [144, 4]      (w:1, o:480, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OconverseE__2'  [145, 4]      (w:1, o:481, a:1, s:1, b:0), 
% 1.27/1.69  'c_Relation_Odiag'  [146, 2]      (w:1, o:373, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OdiagE__1'  [147, 3]      (w:1, o:439, a:1, s:1, b:0), 
% 1.27/1.69  'c_Relation_Orel__comp'  [150, 5]      (w:1, o:521, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Orel__compE__2'  [151, 6]      (w:1, o:523, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Orel__compE__3'  [152, 6]      (w:1, o:524, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Orel__compE__1'  [153, 6]      (w:1, o:522, a:1, s:1, b:0), 
% 1.27/1.69  'c_SetInterval_OatLeastAtMost'  [154, 3]      (w:1, o:440, a:1, s:1, b:0), 
% 1.27/1.69    
% 1.27/1.69  'c_SetInterval_OatLeastLessThan'  [155, 3]      (w:1, o:441, a:1, s:1, b:0)
% 1.27/1.69    , 
% 1.27/1.69  'c_SetInterval_OatMost'  [156, 2]      (w:1, o:375, a:1, s:1, b:0), 
% 1.27/1.69  'c_SetInterval_OgreaterThanAtMost'  [157, 3]      (w:1, o:442, a:1, s:1, b:
% 1.27/1.69    0), 
% 1.27/1.69  'c_SetInterval_OgreaterThanLessThan'  [158, 3]      (w:1, o:443, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'c_SetInterval_OlessThan'  [159, 2]      (w:1, o:376, a:1, s:1, b:0), 
% 1.27/1.69  'c_Inter'  [161, 2]      (w:1, o:377, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OInterI__1'  [162, 3]      (w:1, o:444, a:1, s:1, b:0), 
% 1.27/1.69  'c_UNIV'  [163, 0]      (w:1, o:93, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OUnionE__1'  [164, 3]      (w:1, o:445, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OsubsetI__1'  [165, 3]      (w:1, o:446, a:1, s:1, b:0), 
% 1.27/1.69  'c_Sum__Type_OInl'  [166, 3]      (w:1, o:447, a:1, s:1, b:0), 
% 1.27/1.69  'c_Sum__Type_OPlus'  [167, 4]      (w:1, o:493, a:1, s:1, b:0), 
% 1.27/1.69  'tc_sum'  [168, 2]      (w:1, o:378, a:1, s:1, b:0), 
% 1.27/1.69  'c_Sum__Type_OInr'  [169, 3]      (w:1, o:448, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OPlusE__1'  [170, 4]      (w:1, o:494, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OPlusE__2'  [171, 4]      (w:1, o:495, a:1, s:1, b:0), 
% 1.27/1.69  'c_Transitive__Closure_Ortrancl'  [172, 2]      (w:1, o:351, a:1, s:1, b:0)
% 1.27/1.69    , 
% 1.27/1.69  'c_Transitive__Closure_Otrancl'  [173, 2]      (w:1, o:352, a:1, s:1, b:0)
% 1.27/1.69    , 
% 1.27/1.69  'c_Wellfounded__Relations_Oless__than'  [174, 0]      (w:1, o:94, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'c_Relation_Otrans'  [175, 2]      (w:1, o:374, a:1, s:1, b:0), 
% 1.27/1.69  'c_Wellfounded__Relations_Olex__prod'  [178, 4]      (w:1, o:496, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'tc_Datatype_Ooption'  [182, 1]      (w:1, o:205, a:1, s:1, b:0), 
% 1.27/1.69  'class_Finite__Set_Ofinite'  [183, 1]      (w:1, o:206, a:1, s:1, b:0), 
% 1.27/1.69  'class_HOL_Ominus'  [184, 1]      (w:1, o:207, a:1, s:1, b:0), 
% 1.27/1.69  'class_HOL_Oone'  [185, 1]      (w:1, o:208, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Osemiring'  [186, 1]      (w:1, o:211, a:1, s:1, b:
% 1.27/1.69    0), 
% 1.27/1.69  'class_Ring__and__Field_Ocomm__semiring'  [187, 1]      (w:1, o:214, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Ocomm__monoid__add'  [188, 1]      (w:1, o:215, a:1, s:
% 1.27/1.69    1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Osemiring__0'  [189, 1]      (w:1, o:216, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'class_Ring__and__Field_Ocomm__semiring__0'  [190, 1]      (w:1, o:217, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Ocancel__semigroup__add'  [191, 1]      (w:1, o:218, a:
% 1.27/1.69    1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [192, 1]      (w:1, o:219
% 1.27/1.69    , a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Oab__group__add'  [193, 1]      (w:1, o:220, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'class_Ring__and__Field_Osemiring__0__cancel'  [194, 1]      (w:1, o:221
% 1.27/1.69    , a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oring'  [195, 1]      (w:1, o:209, a:1, s:1, b:0), 
% 1.27/1.69    
% 1.27/1.69  'class_HOL_Oplus'  [196, 1]      (w:1, o:222, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Ocomm__semiring__0__cancel'  [197, 1]      (w:1, o:
% 1.27/1.69    223, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Ocomm__ring'  [198, 1]      (w:1, o:212, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oaxclass__0__neq__1'  [199, 1]      (w:1, o:224, a:
% 1.27/1.69    1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Omonoid__mult'  [200, 1]      (w:1, o:229, a:1, s:1, b:
% 1.27/1.69    0), 
% 1.27/1.69  'class_OrderedGroup_Ocomm__monoid__mult'  [201, 1]      (w:1, o:230, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Osemiring__1'  [202, 1]      (w:1, o:231, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'class_Ring__and__Field_Ocomm__semiring__1'  [203, 1]      (w:1, o:232, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Osemiring__1__cancel'  [204, 1]      (w:1, o:233
% 1.27/1.69    , a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oring__1'  [205, 1]      (w:1, o:210, a:1, s:1, b:0
% 1.27/1.69    ), 
% 1.27/1.69  'class_Ring__and__Field_Ocomm__semiring__1__cancel'  [206, 1]      (w:1, o:
% 1.27/1.69    234, a:1, s:1, b:0), 
% 1.27/1.69  'class_HOL_Otimes'  [207, 1]      (w:1, o:235, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Ocomm__ring__1'  [208, 1]      (w:1, o:213, a:1, s:
% 1.27/1.69    1, b:0), 
% 1.27/1.69  'class_LOrder_Omeet__semilorder'  [209, 1]      (w:1, o:237, a:1, s:1, b:0)
% 1.27/1.69    , 
% 1.27/1.69  'class_LOrder_Ojoin__semilorder'  [210, 1]      (w:1, o:238, a:1, s:1, b:0)
% 1.27/1.69    , 
% 1.27/1.69  'class_LOrder_Olorder'  [211, 1]      (w:1, o:236, a:1, s:1, b:0), 
% 1.27/1.69  'class_Orderings_Olinorder'  [212, 1]      (w:1, o:239, a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Opordered__ab__semigroup__add'  [213, 1]      (w:1, o:
% 1.27/1.69    241, a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [214, 1]      
% 1.27/1.69    (w:1, o:242, a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [215, 1]      
% 1.27/1.69    (w:1, o:243, a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'  [216, 1]      
% 1.27/1.69    (w:1, o:240, a:1, s:1, b:0), 
% 1.27/1.69  'class_HOL_Ozero'  [217, 1]      (w:1, o:244, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Opordered__semiring'  [218, 1]      (w:1, o:252, a:
% 1.27/1.69    1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Opordered__cancel__semiring'  [219, 1]      (w:1
% 1.27/1.69    , o:253, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oordered__semiring__strict'  [220, 1]      (w:1, o:
% 1.27/1.69    246, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Opordered__comm__semiring'  [221, 1]      (w:1, o:
% 1.27/1.69    255, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Opordered__cancel__comm__semiring'  [222, 1]      
% 1.27/1.69    (w:1, o:256, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [223, 1]      
% 1.27/1.69    (w:1, o:247, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oaxclass__abs__if'  [224, 1]      (w:1, o:257, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Opordered__ab__group__add'  [225, 1]      (w:1, o:258
% 1.27/1.69    , a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Olordered__ab__group'  [226, 1]      (w:1, o:225, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Opordered__ring'  [227, 1]      (w:1, o:251, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_Orderings_Oord'  [228, 1]      (w:1, o:259, a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Olordered__ab__group__abs'  [229, 1]      (w:1, o:226
% 1.27/1.69    , a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Olordered__ab__group__meet'  [230, 1]      (w:1, o:227
% 1.27/1.69    , a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Olordered__ab__group__join'  [231, 1]      (w:1, o:228
% 1.27/1.69    , a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Olordered__ring'  [232, 1]      (w:1, o:260, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oaxclass__no__zero__divisors'  [233, 1]      (w:1
% 1.27/1.69    , o:261, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oordered__ring__strict'  [234, 1]      (w:1, o:245
% 1.27/1.69    , a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oordered__semidom'  [235, 1]      (w:1, o:248, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Oidom'  [236, 1]      (w:1, o:262, a:1, s:1, b:0), 
% 1.27/1.69    
% 1.27/1.69  'class_Ring__and__Field_Oordered__idom'  [237, 1]      (w:1, o:249, a:1, s:
% 1.27/1.69    1, b:0), 
% 1.27/1.69  'class_Numeral_Onumber'  [238, 1]      (w:1, o:201, a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Osemigroup__add'  [239, 1]      (w:1, o:263, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'class_Numeral_Onumber__ring'  [240, 1]      (w:1, o:202, a:1, s:1, b:0), 
% 1.27/1.69  'class_Divides_Odiv'  [241, 1]      (w:1, o:264, a:1, s:1, b:0), 
% 1.27/1.69  'class_Nat_Opower'  [242, 1]      (w:1, o:203, a:1, s:1, b:0), 
% 1.27/1.69  'class_Power_Orecpower'  [243, 1]      (w:1, o:268, a:1, s:1, b:0), 
% 1.27/1.69  'class_Parity_Oeven__odd'  [244, 1]      (w:1, o:269, a:1, s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Oab__semigroup__add'  [245, 1]      (w:1, o:265, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_OrderedGroup_Osemigroup__mult'  [246, 1]      (w:1, o:266, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'class_OrderedGroup_Oab__semigroup__mult'  [247, 1]      (w:1, o:267, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'tc_Product__Type_Ounit'  [248, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 1.27/1.69  'tc_bool'  [249, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 1.27/1.69  'tc_fun'  [251, 2]      (w:1, o:379, a:1, s:1, b:0), 
% 1.27/1.69  'class_Wellfounded__Recursion_Owellorder'  [252, 1]      (w:1, o:270, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Odivision__by__zero'  [254, 1]      (w:1, o:271, a:
% 1.27/1.69    1, s:1, b:0), 
% 1.27/1.69  'class_HOL_Oinverse'  [255, 1]      (w:1, o:272, a:1, s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Ofield'  [256, 1]      (w:1, o:273, a:1, s:1, b:0)
% 1.27/1.69    , 
% 1.27/1.69  'class_Ring__and__Field_Oordered__field'  [257, 1]      (w:1, o:250, a:1
% 1.27/1.69    , s:1, b:0), 
% 1.27/1.69  'class_Ring__and__Field_Opordered__comm__ring'  [258, 1]      (w:1, o:254
% 1.27/1.69    , a:1, s:1, b:0), 
% 1.27/1.69  'c_Binomial_Obinomial'  [259, 2]      (w:1, o:380, a:1, s:1, b:0), 
% 1.27/1.69  'c_plus'  [260, 3]      (w:1, o:449, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype_Oo2s'  [262, 2]      (w:1, o:381, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype_Ooption_OSome'  [263, 2]      (w:1, o:382, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype_Ooption_ONone'  [264, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Onot__None__eq__1'  [265, 2]      (w:1, o:360, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Onot__Some__eq__1'  [266, 2]      (w:1, o:361, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype_Othe'  [269, 2]      (w:1, o:383, a:1, s:1, b:0), 
% 1.27/1.69  'c_Product__Type_OUnity'  [270, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype_Ounit_Ounit__case'  [271, 3]      (w:1, o:450, a:1, s:1, b:0), 
% 1.27/1.69    
% 1.27/1.69  'c_Datatype_Ounit_Ounit__rec'  [272, 3]      (w:1, o:451, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_OAtom'  [273, 3]      (w:1, o:452, a:1, s:1, b:0), 
% 1.27/1.69  'c_Datatype__Universe_Ontrunc'  [274, 4]      (w:1, o:497, a:1, s:1, b:0), 
% 1.27/1.69    
% 1.27/1.69  'c_div'  [276, 3]      (w:1, o:453, a:1, s:1, b:0), 
% 1.27/1.69  'c_Equiv__Relations_Oquotient'  [277, 3]      (w:1, o:454, a:1, s:1, b:0), 
% 1.27/1.69    
% 1.27/1.69  'c_Extraction_Osumbool_OLeft'  [279, 0]      (w:1, o:62, a:1, s:1, b:0), 
% 1.27/1.69  'c_Extraction_Osumbool_Osumbool__case'  [280, 4]      (w:1, o:498, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'c_Extraction_Osumbool_ORight'  [282, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 1.27/1.69  'c_Extraction_Osumbool_Osumbool__rec'  [283, 4]      (w:1, o:499, a:1, s:1
% 1.27/1.69    , b:0), 
% 1.27/1.69  'tc_Extraction_Osumbool'  [284, 0]      (w:1, o:113, a:1, s:1, b:0), 
% 1.27/1.69  'c_Finite__Set_OMax'  [285, 2]      (w:1, o:387, a:1, s:1, b:0), 
% 1.27/1.69  'c_Orderings_Omax'  [286, 3]      (w:1, o:460, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OMax__le__iff__1'  [287, 3]      (w:1, o:461, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OMax__less__iff__1'  [288, 3]      (w:1, o:462, a:1, s:1, b:0), 
% 1.27/1.69  'c_Finite__Set_OMin'  [289, 2]      (w:1, o:388, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OMin__ge__iff__1'  [290, 3]      (w:1, o:463, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_OMin__gr__iff__1'  [291, 3]      (w:1, o:464, a:1, s:1, b:0), 
% 1.27/1.69  'c_Orderings_Omin'  [292, 3]      (w:1, o:465, a:1, s:1, b:0), 
% 1.27/1.69  'c_Finite__Set_Ocard'  [293, 2]      (w:1, o:389, a:1, s:1, b:0), 
% 1.27/1.69  'c_minus'  [295, 3]      (w:1, o:466, a:1, s:1, b:0), 
% 1.27/1.69  'c_Pow'  [296, 2]      (w:1, o:392, a:1, s:1, b:0), 
% 1.27/1.69  'c_union'  [297, 3]      (w:1, o:467, a:1, s:1, b:0), 
% 1.27/1.69  'c_NatArith_Oof__nat'  [298, 2]      (w:1, o:393, a:1, s:1, b:0), 
% 1.27/1.69  'c_Fun_Oid'  [299, 2]      (w:1, o:394, a:1, s:1, b:0), 
% 1.27/1.69  'c_Numeral_OMin'  [300, 0]      (w:1, o:117, a:1, s:1, b:0), 
% 1.27/1.69  'c_Numeral_Onumber__of'  [301, 2]      (w:1, o:395, a:1, s:1, b:0), 
% 1.27/1.69  'c_HOL_Oabs'  [302, 2]      (w:1, o:354, a:1, s:1, b:0), 
% 1.27/1.69  'c_Nat_Opower'  [303, 3]      (w:1, o:459, a:1, s:1, b:0), 
% 1.27/1.69  'c_Numeral_OPls'  [304, 0]      (w:1, o:118, a:1, s:1, b:0), 
% 1.27/1.69  'c_Numeral_Obin__minus'  [305, 1]      (w:1, o:285, a:1, s:1, b:0), 
% 1.27/1.69  'c_Numeral_Obin__add'  [306, 2]      (w:1, o:396, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_Oneg'  [307, 2]      (w:1, o:397, a:1, s:1, b:0), 
% 1.27/1.69  'c_Numeral_Obit_OB1'  [308, 0]      (w:1, o:120, a:1, s:1, b:0), 
% 1.27/1.69  'c_Numeral_OBit'  [309, 2]      (w:1, o:398, a:1, s:1, b:0), 
% 1.27/1.69  'c_Numeral_Obit_OB0'  [310, 0]      (w:1, o:119, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_Oiszero'  [312, 2]      (w:1, o:399, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_Onat'  [313, 1]      (w:1, o:286, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_Oof__int'  [314, 2]      (w:1, o:400, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_OInteg'  [316, 0]      (w:1, o:122, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_OAbs__Integ'  [317, 1]      (w:1, o:287, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_ORep__Integ'  [318, 1]      (w:1, o:288, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_OInts'  [319, 0]      (w:1, o:123, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_ONats'  [320, 0]      (w:1, o:124, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDef_Ointrel'  [321, 0]      (w:1, o:125, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDiv_OposDivAlg'  [322, 1]      (w:1, o:289, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDiv_OnegateSnd'  [323, 1]      (w:1, o:290, a:1, s:1, b:0), 
% 1.27/1.69  'c_fst'  [324, 3]      (w:1, o:468, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDiv_OnegDivAlg'  [325, 1]      (w:1, o:291, a:1, s:1, b:0), 
% 1.27/1.69  'c_snd'  [326, 3]      (w:1, o:413, a:1, s:1, b:0), 
% 1.27/1.69  'c_IntDiv_Oadjust'  [327, 2]      (w:1, o:401, a:1, s:1, b:0), 
% 1.27/1.69  'c_LOrder_Ojoin'  [329, 3]      (w:1, o:421, a:1, s:1, b:0), 
% 1.27/1.69  'c_LOrder_Omeet'  [330, 3]      (w:1, o:422, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Oconcat'  [332, 2]      (w:1, o:326, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_ONil__eq__concat__conv__1'  [333, 2]      (w:1, o:362, a:1, s:1, b:
% 1.27/1.69    0), 
% 1.27/1.69  'c_append'  [334, 3]      (w:1, o:469, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Orev'  [335, 2]      (w:1, o:329, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Obutlast'  [337, 2]      (w:1, o:325, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Olast'  [338, 2]      (w:1, o:336, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Otake'  [341, 3]      (w:1, o:426, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Odrop'  [342, 3]      (w:1, o:427, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Ochar_OChar'  [345, 2]      (w:1, o:327, a:1, s:1, b:0), 
% 1.27/1.69  'tc_List_Ochar'  [348, 0]      (w:1, o:131, a:1, s:1, b:0), 
% 1.27/1.69  'c_Main_Oconcat__eq__Nil__conv__1'  [349, 2]      (w:1, o:363, a:1, s:1, b:
% 1.27/1.69    0), 
% 1.27/1.69  'c_List_Orotate1'  [350, 2]      (w:1, o:330, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Oremove1'  [351, 3]      (w:1, o:428, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Orotate'  [352, 3]      (w:1, o:429, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Osublist'  [354, 3]      (w:1, o:424, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Oupt'  [356, 2]      (w:1, o:338, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Oreplicate'  [357, 3]      (w:1, o:423, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Ohd'  [358, 2]      (w:1, o:339, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Otl'  [359, 2]      (w:1, o:337, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Oitrev'  [360, 3]      (w:1, o:430, a:1, s:1, b:0), 
% 1.27/1.69  'c_List_Olist__update'  [362, 4]      (w:1, o:478, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Ozip'  [363, 4]      (w:1, o:479, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Olexn'  [364, 3]      (w:1, o:431, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Olexord'  [365, 2]      (w:1, o:340, a:1, s:1, b:0), 
% 2.49/2.90  'c_Main_Olexord__Nil__left__1'  [366, 2]      (w:1, o:343, a:1, s:1, b:0), 
% 2.49/2.90    
% 2.49/2.90  'c_Main_Olexord__Nil__left__2'  [367, 2]      (w:1, o:344, a:1, s:1, b:0), 
% 2.49/2.90    
% 2.49/2.90  'c_List_Olist__inter'  [373, 3]      (w:1, o:432, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onth'  [374, 3]      (w:1, o:433, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Olistset'  [375, 2]      (w:1, o:341, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Oset__Cons'  [377, 3]      (w:1, o:425, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble9'  [391, 0]      (w:1, o:144, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_Onibble__case'  [392, 18]      (w:1, o:525, a:1, s:1, b:0)
% 2.49/2.90    , 
% 2.49/2.90  'c_List_Onibble_ONibbleA'  [394, 0]      (w:1, o:145, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibbleB'  [395, 0]      (w:1, o:146, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibbleC'  [396, 0]      (w:1, o:147, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibbleD'  [397, 0]      (w:1, o:148, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibbleE'  [398, 0]      (w:1, o:149, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibbleF'  [399, 0]      (w:1, o:150, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble0'  [400, 0]      (w:1, o:151, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble1'  [401, 0]      (w:1, o:152, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble2'  [402, 0]      (w:1, o:153, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble3'  [403, 0]      (w:1, o:154, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble4'  [404, 0]      (w:1, o:155, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble5'  [405, 0]      (w:1, o:156, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble6'  [406, 0]      (w:1, o:157, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble7'  [407, 0]      (w:1, o:158, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_ONibble8'  [408, 0]      (w:1, o:143, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onibble_Onibble__rec'  [409, 18]      (w:1, o:526, a:1, s:1, b:0), 
% 2.49/2.90    
% 2.49/2.90  'tc_List_Onibble'  [410, 0]      (w:1, o:159, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Onull'  [411, 2]      (w:1, o:342, a:1, s:1, b:0), 
% 2.49/2.90  'c_List_Oop_Amem'  [412, 3]      (w:1, o:434, a:1, s:1, b:0), 
% 2.49/2.90  'c_Map_Omap__of'  [415, 4]      (w:1, o:500, a:1, s:1, b:0), 
% 2.49/2.90  'c_Numeral_Obin__succ'  [416, 1]      (w:1, o:292, a:1, s:1, b:0), 
% 2.49/2.90  'c_Numeral_Obin__mult'  [418, 2]      (w:1, o:402, a:1, s:1, b:0), 
% 2.49/2.90  'c_divide'  [419, 3]      (w:1, o:470, a:1, s:1, b:0), 
% 2.49/2.90  'c_HOL_Oinverse'  [420, 2]      (w:1, o:355, a:1, s:1, b:0), 
% 2.49/2.90  'c_Numeral_Obin__pred'  [421, 1]      (w:1, o:293, a:1, s:1, b:0), 
% 2.49/2.90  'c_Numeral_Obit_Obit__case'  [422, 4]      (w:1, o:501, a:1, s:1, b:0), 
% 2.49/2.90  'c_Numeral_Obit_Obit__rec'  [423, 4]      (w:1, o:502, a:1, s:1, b:0), 
% 2.49/2.90  'tc_Numeral_Obit'  [424, 0]      (w:1, o:162, a:1, s:1, b:0), 
% 2.49/2.90  'c_OrderedGroup_Onprt'  [425, 2]      (w:1, o:390, a:1, s:1, b:0), 
% 2.49/2.90  'c_OrderedGroup_Opprt'  [426, 2]      (w:1, o:391, a:1, s:1, b:0), 
% 2.49/2.90  'c_Parity_Oeven'  [427, 2]      (w:1, o:403, a:1, s:1, b:0), 
% 2.49/2.90  'c_Main_Osurj__pair__1'  [429, 3]      (w:1, o:455, a:1, s:1, b:0), 
% 2.49/2.90  'c_Main_Osurj__pair__2'  [430, 3]      (w:1, o:456, a:1, s:1, b:0), 
% 2.49/2.90  'c_SetInterval_OatLeast'  [432, 2]      (w:1, o:348, a:1, s:1, b:0), 
% 2.49/2.90  'c_SetInterval_OgreaterThan'  [433, 2]      (w:1, o:349, a:1, s:1, b:0), 
% 2.49/2.90  'c_Main_OInter__UNIV__conv__1__1'  [434, 2]      (w:1, o:364, a:1, s:1, b:0
% 2.49/2.90    ), 
% 2.49/2.90  'c_Main_OInter__UNIV__conv__2__1'  [435, 2]      (w:1, o:365, a:1, s:1, b:0
% 2.49/2.90    ), 
% 2.49/2.90  'c_Main_OInter__iff__1'  [436, 3]      (w:1, o:457, a:1, s:1, b:0), 
% 2.49/2.90  'c_Main_OUnion__empty__conv__1'  [437, 2]      (w:1, o:366, a:1, s:1, b:0)
% 2.49/2.90    , 
% 2.49/2.90  'c_Main_OUnion__iff__1'  [438, 3]      (w:1, o:458, a:1, s:1, b:0), 
% 2.49/2.90  'c_Main_Oall__not__in__conv__1'  [439, 2]      (w:1, o:367, a:1, s:1, b:0)
% 2.49/2.90    , 
% 2.49/2.90  'c_Set_Ocontents'  [440, 2]      (w:1, o:350, a:1, s:1, b:0), 
% 2.49/2.90  'c_Main_Oempty__Union__conv__1'  [441, 2]      (w:1, o:346, a:1, s:1, b:0)
% 2.49/2.90    , 
% 2.49/2.90  'c_Wellfounded__Recursion_Oacyclic'  [442, 2]      (w:1, o:404, a:1, s:1
% 2.49/2.90    , b:0), 
% 2.49/2.90  'c_Message_Omsg_OMPair'  [445, 2]      (w:1, o:368, a:1, s:1, b:0), 
% 2.49/2.90  'c_Message_Oparts'  [447, 1]      (w:1, o:274, a:1, s:1, b:0), 
% 2.49/2.90  'tc_Message_Omsg'  [448, 0]      (w:1, o:160, a:1, s:1, b:0), 
% 2.49/2.90  'c_Message_Oagent_OServer'  [449, 0]      (w:1, o:114, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Oagent_OFriend'  [451, 1]      (w:1, o:275, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Oagent_OSpy'  [452, 0]      (w:1, o:115, a:1, s:1, b:0), 
% 3.35/3.71  'tc_Message_Oagent'  [454, 0]      (w:1, o:161, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_OinvKey'  [455, 1]      (w:1, o:276, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_OkeysFor'  [459, 1]      (w:1, o:277, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Omsg_OAgent'  [460, 1]      (w:1, o:278, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Omsg_OCrypt'  [461, 2]      (w:1, o:369, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Omsg_OHash'  [462, 1]      (w:1, o:279, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Omsg_OKey'  [463, 1]      (w:1, o:280, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Omsg_ONonce'  [464, 1]      (w:1, o:281, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Omsg_ONumber'  [465, 1]      (w:1, o:282, a:1, s:1, b:0), 
% 3.35/3.71  'c_Event_Obad'  [474, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 3.35/3.71  'c_Event_Oknows'  [476, 2]      (w:1, o:384, a:1, s:1, b:0), 
% 3.35/3.71  'c_Event_Oused'  [477, 1]      (w:1, o:294, a:1, s:1, b:0), 
% 3.35/3.71  'c_Event_Oevent_OSays'  [480, 3]      (w:1, o:471, a:1, s:1, b:0), 
% 3.35/3.71  'c_Event_Oevent_OGets'  [481, 2]      (w:1, o:385, a:1, s:1, b:0), 
% 3.35/3.71  'c_Event_Oevent_ONotes'  [482, 2]      (w:1, o:386, a:1, s:1, b:0), 
% 3.35/3.71  'tc_Event_Oevent'  [485, 0]      (w:1, o:171, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Osynth'  [486, 1]      (w:1, o:283, a:1, s:1, b:0), 
% 3.35/3.71  'v_sko__uhi'  [487, 2]      (w:1, o:405, a:1, s:1, b:0), 
% 3.35/3.71  'c_Event_OinitState'  [488, 1]      (w:1, o:295, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_Oanalz'  [489, 1]      (w:1, o:284, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_OHPair'  [492, 2]      (w:1, o:370, a:1, s:1, b:0), 
% 3.35/3.71  'c_Public_OpublicKey'  [495, 2]      (w:1, o:406, a:1, s:1, b:0), 
% 3.35/3.71  'c_Public_OshrK'  [496, 1]      (w:1, o:296, a:1, s:1, b:0), 
% 3.35/3.71  'c_Message_OsymKeys'  [497, 0]      (w:1, o:116, a:1, s:1, b:0), 
% 3.35/3.71  'c_Public_Okeymode_OSignature'  [498, 0]      (w:1, o:174, a:1, s:1, b:0), 
% 3.35/3.71    
% 3.35/3.71  'c_Public_Okeymode_Okeymode__case'  [499, 4]      (w:1, o:503, a:1, s:1, b:
% 3.35/3.71    0), 
% 3.35/3.71  'c_Public_Okeymode_OEncryption'  [500, 0]      (w:1, o:175, a:1, s:1, b:0)
% 3.35/3.71    , 
% 3.35/3.71  'c_Public_Okeymode_Okeymode__rec'  [501, 4]      (w:1, o:504, a:1, s:1, b:0
% 3.35/3.71    ), 
% 3.35/3.71  'tc_Public_Okeymode'  [502, 0]      (w:1, o:176, a:1, s:1, b:0), 
% 3.35/3.71  'c_Yahalom_Oyahalom'  [504, 0]      (w:1, o:177, a:1, s:1, b:0), 
% 3.35/3.71  'v_sko__wPE'  [507, 3]      (w:1, o:472, a:1, s:1, b:0), 
% 3.35/3.71  'c_Yahalom_OKeyWithNonce'  [509, 3]      (w:1, o:473, a:1, s:1, b:0), 
% 3.35/3.71  'v_sko__2VZ'  [510, 4]      (w:1, o:505, a:1, s:1, b:0), 
% 3.35/3.71  'v_sko__2Va'  [511, 4]      (w:1, o:506, a:1, s:1, b:0), 
% 3.35/3.71  'v_sko__2Vb'  [512, 4]      (w:1, o:507, a:1, s:1, b:0), 
% 3.35/3.71  'v_sko__2ji'  [514, 4]      (w:1, o:508, a:1, s:1, b:0), 
% 3.35/3.71  'v_sko__2jj'  [515, 4]      (w:1, o:509, a:1, s:1, b:0), 
% 3.35/3.71  'v_evsf'  [519, 0]      (w:1, o:183, a:1, s:1, b:0), 
% 3.35/3.71  'v_X'  [520, 0]      (w:1, o:184, a:1, s:1, b:0), 
% 3.35/3.71  'v_K'  [521, 0]      (w:1, o:185, a:1, s:1, b:0), 
% 3.35/3.71  'v_NB'  [522, 0]      (w:1, o:186, a:1, s:1, b:0), 
% 3.35/3.71  'v_B'  [523, 0]      (w:1, o:188, a:1, s:1, b:0), 
% 3.35/3.71  'v_A'  [524, 0]      (w:1, o:187, a:1, s:1, b:0), 
% 3.35/3.71  'v_Xa'  [525, 0]      (w:1, o:189, a:1, s:1, b:0), 
% 3.35/3.71  'v_Ba'  [526, 0]      (w:1, o:190, a:1, s:1, b:0).
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  Starting Search:
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  Intermediate Status:
% 3.35/3.71  Generated:    3335
% 3.35/3.71  Kept:         2965
% 3.35/3.71  Inuse:        0
% 3.35/3.71  Deleted:      0
% 3.35/3.71  Deletedinuse: 0
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  Intermediate Status:
% 3.35/3.71  Generated:    10807
% 3.35/3.71  Kept:         5233
% 3.35/3.71  Inuse:        270
% 3.35/3.71  Deleted:      1
% 3.35/3.71  Deletedinuse: 0
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  Intermediate Status:
% 3.35/3.71  Generated:    14992
% 3.35/3.71  Kept:         7250
% 3.35/3.71  Inuse:        445
% 3.35/3.71  Deleted:      2
% 3.35/3.71  Deletedinuse: 1
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  Intermediate Status:
% 3.35/3.71  Generated:    19506
% 3.35/3.71  Kept:         9973
% 3.35/3.71  Inuse:        500
% 3.35/3.71  Deleted:      2
% 3.35/3.71  Deletedinuse: 1
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  Intermediate Status:
% 3.35/3.71  Generated:    24697
% 3.35/3.71  Kept:         12001
% 3.35/3.71  Inuse:        613
% 3.35/3.71  Deleted:      4
% 3.35/3.71  Deletedinuse: 1
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  Intermediate Status:
% 3.35/3.71  Generated:    33958
% 3.35/3.71  Kept:         14341
% 3.35/3.71  Inuse:        1226
% 3.35/3.71  Deleted:      6
% 3.35/3.71  Deletedinuse: 1
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  Intermediate Status:
% 3.35/3.71  Generated:    40176
% 3.35/3.71  Kept:         17022
% 3.35/3.71  Inuse:        1250
% 3.35/3.71  Deleted:      7
% 3.35/3.71  Deletedinuse: 1
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  Intermediate Status:
% 3.35/3.71  Generated:    46558
% 3.35/3.71  Kept:         19103
% 3.35/3.71  Inuse:        1300
% 3.35/3.71  Deleted:      8
% 3.35/3.71  Deletedinuse: 2
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  Resimplifying inuse:
% 3.35/3.71  Done
% 3.35/3.71  
% 3.35/3.71  Resimplifying clauses:
% 3.35/3.71  
% 3.35/3.71  Bliksems!, er is een bewijs:
% 3.35/3.71  % SZS status Unsatisfiable
% 3.35/3.71  % SZS output start Refutation
% 3.35/3.71  
% 3.35/3.71  clause( 2831, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.35/3.71    'c_Message_Omsg_OMPair'( 'v_Xa', 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.35/3.71    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.35/3.71    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 3.35/3.71  .
% 3.35/3.71  clause( 2832, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.35/3.71    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.35/3.71    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.35/3.71    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 3.35/3.71  .
% 3.35/3.71  clause( 20625, [] )
% 3.35/3.71  .
% 3.35/3.71  
% 3.35/3.71  
% 3.35/3.71  % SZS output end Refutation
% 3.35/3.71  found a proof!
% 3.35/3.71  
% 3.35/3.71  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.35/3.71  
% 3.35/3.71  initialclauses(
% 3.35/3.71  [ clause( 20627, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 3.35/3.71    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.35/3.71  , clause( 20628, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 3.35/3.71    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.35/3.71  , clause( 20629, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 3.35/3.71     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 3.35/3.71    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 3.35/3.71    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 3.35/3.71    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 3.35/3.71    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.35/3.71  , clause( 20630, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 3.35/3.71     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.35/3.71    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 3.35/3.71     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.35/3.71  , clause( 20631, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 3.35/3.71     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.35/3.71    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 3.35/3.71     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.35/3.71  , clause( 20632, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 3.35/3.71    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.35/3.71    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 3.35/3.71    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 3.35/3.71    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.35/3.71     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 3.35/3.71  , clause( 20633, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 3.35/3.71    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 3.35/3.71    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 3.35/3.71    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 3.35/3.71    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 3.35/3.71    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.35/3.71  , clause( 20634, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 3.35/3.71    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.35/3.71    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 3.35/3.71    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 3.35/3.71    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.35/3.71  , clause( 20635, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 3.35/3.71    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.35/3.71    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 3.35/3.71    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 3.35/3.71    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.35/3.71  , clause( 20636, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 3.35/3.71    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.35/3.71    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.35/3.71    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 3.35/3.71    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.35/3.71  , clause( 20637, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.35/3.71    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 3.35/3.71    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 3.35/3.71    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.35/3.71     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 3.35/3.71  , clause( 20638, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.35/3.71    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 3.35/3.71    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 3.35/3.71    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.35/3.71     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 3.35/3.71  , clause( 20639, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 3.35/3.71     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 3.35/3.71    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 3.35/3.71    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 3.35/3.71  , clause( 20640, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 3.35/3.71     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 3.35/3.71    'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 3.35/3.71  , clause( 20641, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 3.35/3.71     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 3.35/3.71    'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 3.35/3.71  , clause( 20642, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 3.35/3.71    Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 3.35/3.71    , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 3.35/3.71    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 3.35/3.71  , clause( 20643, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 3.35/3.71    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 3.35/3.71    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 3.35/3.71    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 3.35/3.71     ) ) ] )
% 3.35/3.71  , clause( 20644, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 3.35/3.71    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 3.35/3.71    'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 3.35/3.71    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20645, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 3.35/3.71    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 3.35/3.71    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 3.35/3.71    'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20646, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 3.35/3.71    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 3.35/3.71    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 3.35/3.71    , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 3.35/3.71  , clause( 20647, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 3.35/3.71    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 3.35/3.71    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 3.35/3.71  , clause( 20648, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 3.35/3.71    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 3.35/3.71    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 3.35/3.71    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 3.35/3.71  , clause( 20649, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20650, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20651, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20652, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20653, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 3.35/3.71    , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20654, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( 
% 3.35/3.71    X ) ) ] )
% 3.35/3.71  , clause( 20655, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.35/3.71     ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 3.35/3.71     ) ) ] )
% 3.35/3.71  , clause( 20656, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.35/3.71     ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20657, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.35/3.71     ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20658, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 3.35/3.71    'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 
% 3.35/3.71    'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 
% 3.35/3.71    'tc_set'( Y ) ) ] )
% 3.35/3.71  , clause( 20659, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 3.35/3.71    'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 
% 3.35/3.71    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 
% 3.35/3.71    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 3.35/3.71  , clause( 20660, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 3.35/3.71    'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20661, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 3.35/3.71    'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20662, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( 
% 3.35/3.71    Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 3.35/3.71  , clause( 20663, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 
% 3.35/3.71    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20664, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 3.35/3.71    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20665, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20666, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20667, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 
% 3.35/3.71    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20668, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 
% 3.35/3.71    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20669, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 
% 3.35/3.71    'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 
% 3.35/3.71    'tc_IntDef_Oint' ) ) ] )
% 3.35/3.71  , clause( 20670, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 3.35/3.71  , clause( 20671, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 3.35/3.71    , 'tc_set'( Y ) ) ] )
% 3.35/3.71  , clause( 20672, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 3.35/3.71    Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20673, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 3.35/3.71     ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20674, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 3.35/3.71    , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 3.35/3.71  , clause( 20675, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 3.35/3.71    , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20676, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 3.35/3.71    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 3.35/3.71    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 3.35/3.71    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 3.35/3.71    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 3.35/3.71  , clause( 20677, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 3.35/3.71    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 3.35/3.71    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 3.35/3.71    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 3.35/3.71    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 3.35/3.71    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 3.35/3.71  , clause( 20678, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 3.35/3.71    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 3.35/3.71    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 3.35/3.71    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 3.35/3.71    'tc_prod'( Z, Z ) ) ] )
% 3.35/3.71  , clause( 20679, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 3.35/3.71    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 3.35/3.71    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 3.35/3.71    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 3.35/3.71    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 3.35/3.71  , clause( 20680, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 3.35/3.71    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 3.35/3.71    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 3.35/3.71    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 3.35/3.71    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 3.35/3.71    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 3.35/3.71  , clause( 20681, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 3.35/3.71    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 3.35/3.71    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 3.35/3.71    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 3.35/3.71    'tc_prod'( T, T ) ) ] )
% 3.35/3.71  , clause( 20682, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 3.35/3.71    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 3.35/3.71    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 3.35/3.71    'c_List_Olist_ONil' ) ] )
% 3.35/3.71  , clause( 20683, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 3.35/3.71    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 3.35/3.71    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 3.35/3.71    'c_List_Olist_ONil' ) ] )
% 3.35/3.71  , clause( 20684, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.35/3.71    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 
% 3.35/3.71    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 3.35/3.71  , clause( 20685, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.35/3.71    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 3.35/3.71  , clause( 20686, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 3.35/3.71    , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 3.35/3.71    , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 3.35/3.71  , clause( 20687, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 
% 3.35/3.71    'tc_List_Olist'( Y ) ) ] )
% 3.35/3.71  , clause( 20688, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 3.35/3.71    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 3.35/3.71    Y ) ) ] )
% 3.35/3.71  , clause( 20689, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 3.35/3.71    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 3.35/3.71     ) ) ] )
% 3.35/3.71  , clause( 20690, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20691, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20692, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 3.35/3.71  , clause( 20693, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20694, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 3.35/3.71    , X ) ] )
% 3.35/3.71  , clause( 20695, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 
% 3.35/3.71    'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 
% 3.35/3.71    'tc_prod'( Z, T ) ) ] )
% 3.35/3.71  , clause( 20696, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.35/3.71     ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 3.35/3.71  , clause( 20697, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), 
% 3.35/3.71    =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 3.35/3.71     ) ) ] )
% 3.35/3.71  , clause( 20698, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 3.35/3.71    'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 3.35/3.71  , clause( 20699, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 3.35/3.71    'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 
% 3.35/3.71    'tc_prod'( T, U ) ) ] )
% 3.35/3.71  , clause( 20700, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 3.35/3.71     ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 3.35/3.71     ), U ) ] )
% 3.35/3.71  , clause( 20701, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 
% 3.35/3.71    'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 
% 3.35/3.71    'tc_prod'( Z, T ) ) ] )
% 3.35/3.71  , clause( 20702, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.35/3.71     ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 3.35/3.71  , clause( 20703, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 3.35/3.71    'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 3.35/3.71    , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20704, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 3.35/3.71    'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 3.35/3.71     ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 3.35/3.71  , clause( 20705, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 3.35/3.71    Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 
% 3.35/3.71    'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 3.35/3.71  , clause( 20706, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 3.35/3.71    Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 3.35/3.71  , clause( 20707, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 3.35/3.71    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 3.35/3.71  , clause( 20708, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 3.35/3.71    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 3.35/3.71    , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 
% 3.35/3.71    'tc_prod'( T, U ) ) ] )
% 3.35/3.71  , clause( 20709, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 3.35/3.71    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 3.35/3.71    , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 
% 3.35/3.71    'tc_prod'( W, T ) ) ] )
% 3.35/3.71  , clause( 20710, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 3.35/3.71    'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, 
% 3.35/3.71    T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 3.35/3.71  , clause( 20711, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.35/3.71     ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 
% 3.35/3.71    'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 3.35/3.71     ), 'tc_prod'( V0, T ) ) ] )
% 3.35/3.71  , clause( 20712, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 3.35/3.71    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.35/3.71  , clause( 20713, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 3.35/3.71    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 3.35/3.71     ) ) ] )
% 3.35/3.71  , clause( 20714, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 3.35/3.71     ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.35/3.71  , clause( 20715, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 3.35/3.71    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 3.35/3.71     ) ) ] )
% 3.35/3.71  , clause( 20716, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 3.35/3.71    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.35/3.71  , clause( 20717, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 3.35/3.71    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.35/3.71  , clause( 20718, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 3.35/3.71    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 3.35/3.71     ) ) ] )
% 3.35/3.71  , clause( 20719, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 3.35/3.71    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.35/3.71  , clause( 20720, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 3.35/3.71    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 3.35/3.71     ) ) ] )
% 3.35/3.71  , clause( 20721, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 3.35/3.71    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.35/3.71  , clause( 20722, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 
% 3.35/3.71    'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 3.35/3.71  , clause( 20723, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 
% 3.35/3.71    'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 3.35/3.71  , clause( 20724, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 3.35/3.71  , clause( 20725, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 3.35/3.71    'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 3.35/3.71  , clause( 20726, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 3.35/3.71    'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 3.35/3.71  , clause( 20727, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 3.35/3.71  , clause( 20728, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 
% 3.35/3.71    Y, X, 'tc_set'( Z ) ) ) ] )
% 3.35/3.71  , clause( 20729, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 3.35/3.71    , Y, 'tc_set'( Z ) ) ] )
% 3.35/3.71  , clause( 20730, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 3.35/3.71    , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 3.35/3.71  , clause( 20731, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), 
% 3.35/3.71    =( X, Y ) ] )
% 3.35/3.71  , clause( 20732, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 3.35/3.71  , clause( 20733, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 
% 3.35/3.71    'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 3.35/3.71  , clause( 20734, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 
% 3.35/3.71    'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 3.35/3.71  , clause( 20735, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 3.35/3.71    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.35/3.71  , clause( 20736, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 3.35/3.71    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.35/3.71  , clause( 20737, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 3.35/3.71    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.35/3.71  , clause( 20738, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 3.35/3.71  , clause( 20739, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 3.35/3.71    , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 3.35/3.71  , clause( 20740, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 3.35/3.71    , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 3.35/3.71  , clause( 20741, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 3.35/3.71    'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 3.35/3.71    , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 3.35/3.71    , T ), U, T ) ) ] )
% 3.35/3.71  , clause( 20742, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 3.35/3.71    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), 
% 3.35/3.71    =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 3.35/3.71  , clause( 20743, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 3.35/3.71    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 3.35/3.71    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 3.35/3.71  , clause( 20744, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 3.35/3.71    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 3.35/3.71    'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 3.35/3.71  , clause( 20745, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 3.35/3.71    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 3.35/3.71  , clause( 20746, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 3.35/3.71    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 3.35/3.71  , clause( 20747, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 3.35/3.71     ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 3.35/3.71    , Z ), 'tc_prod'( Z, Z ) ) ] )
% 3.35/3.71  , clause( 20748, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 3.35/3.71    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 3.35/3.71    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 3.35/3.71    'tc_prod'( Z, Z ) ) ] )
% 3.35/3.71  , clause( 20749, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 3.35/3.71  , clause( 20750, [ 'c_Relation_Otrans'( 
% 3.35/3.71    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20751, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( 
% 3.35/3.71    Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, 
% 3.35/3.71    X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 3.35/3.71  , clause( 20752, [ 'c_Wellfounded__Recursion_Owf'( 
% 3.35/3.71    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20753, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 3.35/3.71    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 3.35/3.71    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20754, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 3.35/3.71     ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 3.35/3.71  , clause( 20755, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20756, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20757, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20758, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20759, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20760, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20761, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20762, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20763, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20764, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20765, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20766, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20767, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20768, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20769, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20770, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20771, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20772, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20773, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20774, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20775, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20776, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20777, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20778, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20779, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20780, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20781, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20782, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20783, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20784, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20785, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20786, [ 
% 3.35/3.71    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20787, [ 
% 3.35/3.71    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20788, [ 
% 3.35/3.71    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20789, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20790, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20791, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20792, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20793, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20794, [ 
% 3.35/3.71    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20795, [ 
% 3.35/3.71    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20796, [ 'class_Ring__and__Field_Oaxclass__abs__if'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20797, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20798, [ 'class_OrderedGroup_Olordered__ab__group'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20799, [ 'class_Ring__and__Field_Opordered__ring'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20800, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20801, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20802, [ 'class_OrderedGroup_Olordered__ab__group__meet'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20803, [ 'class_OrderedGroup_Olordered__ab__group__join'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20804, [ 'class_Ring__and__Field_Olordered__ring'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20805, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20806, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20807, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20808, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20809, [ 'class_Ring__and__Field_Oordered__idom'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20810, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20811, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20812, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20813, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20814, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20815, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20816, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20817, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20818, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20819, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 3.35/3.71    'tc_IntDef_Oint' ) ] )
% 3.35/3.71  , clause( 20820, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20821, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 3.35/3.71  , clause( 20822, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 3.35/3.71    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20823, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 3.35/3.71  , clause( 20824, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20825, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20826, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20827, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20828, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20829, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20830, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20831, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20832, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20833, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20834, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20835, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20836, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20837, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20838, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20839, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20840, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20841, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20842, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20843, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20844, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20845, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20846, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20847, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20848, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 3.35/3.71     ) ] )
% 3.35/3.71  , clause( 20849, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20850, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20851, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20852, [ 
% 3.35/3.71    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20853, [ 
% 3.35/3.71    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20854, [ 
% 3.35/3.71    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20855, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20856, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20857, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20858, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20859, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 3.35/3.71    'tc_nat' ) ] )
% 3.35/3.71  , clause( 20860, [ 
% 3.35/3.71    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20861, [ 
% 3.35/3.71    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20862, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20863, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20864, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20865, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20866, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20867, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20868, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20869, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20870, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 3.35/3.71     )
% 3.35/3.71  , clause( 20871, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 3.35/3.71  , clause( 20872, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 3.35/3.71    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20873, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 3.35/3.71  , clause( 20874, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 3.35/3.71  , clause( 20875, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 3.35/3.71  , clause( 20876, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 3.35/3.71    'class_Finite__Set_Ofinite'( X ) ) ] )
% 3.35/3.71  , clause( 20877, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 3.35/3.71  , clause( 20878, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 3.35/3.71    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 3.35/3.71     ] )
% 3.35/3.71  , clause( 20879, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 3.35/3.71    'class_Orderings_Oord'( X ) ] )
% 3.35/3.71  , clause( 20880, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 3.35/3.71    'class_Orderings_Oorder'( X ) ] )
% 3.35/3.71  , clause( 20881, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 3.35/3.71    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.35/3.71  , clause( 20882, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( 
% 3.35/3.71    X ) ] )
% 3.35/3.71  , clause( 20883, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 3.35/3.71    'class_Orderings_Oorder'( X ) ] )
% 3.35/3.71  , clause( 20884, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 3.35/3.71    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.35/3.71  , clause( 20885, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 3.35/3.71    'class_Orderings_Oord'( X ) ] )
% 3.35/3.71  , clause( 20886, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 3.35/3.71    'class_Orderings_Oorder'( X ) ] )
% 3.35/3.71  , clause( 20887, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_HOL_Oplus'( X ) ] )
% 3.35/3.71  , clause( 20888, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20889, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.35/3.71  , clause( 20890, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.35/3.71  , clause( 20891, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_HOL_Ominus'( X ) ] )
% 3.35/3.71  , clause( 20892, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20893, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20894, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.35/3.71  , clause( 20895, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.35/3.71  , clause( 20896, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Oring'( X ) ] )
% 3.35/3.71  , clause( 20897, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.35/3.71  , clause( 20898, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.35/3.71  , clause( 20899, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20900, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_HOL_Oone'( X ) ] )
% 3.35/3.71  , clause( 20901, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.35/3.71  , clause( 20902, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.35/3.71  , clause( 20903, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.35/3.71  , clause( 20904, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.35/3.71  , clause( 20905, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.35/3.71  , clause( 20906, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.35/3.71  , clause( 20907, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.35/3.71  , clause( 20908, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.35/3.71  , clause( 20909, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.35/3.71  , clause( 20910, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_HOL_Otimes'( X ) ] )
% 3.35/3.71  , clause( 20911, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Numeral_Onumber'( X ) ] )
% 3.35/3.71  , clause( 20912, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.35/3.71  , clause( 20913, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.35/3.71  , clause( 20914, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.35/3.71  , clause( 20915, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.35/3.71  , clause( 20916, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_HOL_Ozero'( X ) ] )
% 3.35/3.71  , clause( 20917, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.35/3.71  , clause( 20918, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 3.35/3.71    'class_HOL_Ominus'( X ) ] )
% 3.35/3.71  , clause( 20919, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.35/3.71  , clause( 20920, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 3.35/3.71    'class_HOL_Ozero'( X ) ] )
% 3.35/3.71  , clause( 20921, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20922, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20923, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 3.35/3.71    'class_HOL_Oplus'( X ) ] )
% 3.35/3.71  , clause( 20924, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20925, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20926, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20927, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 3.35/3.71    'class_HOL_Oplus'( X ) ] )
% 3.35/3.71  , clause( 20928, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.35/3.71  , clause( 20929, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 3.35/3.71    'class_HOL_Otimes'( X ) ] )
% 3.35/3.71  , clause( 20930, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.35/3.71     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20931, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.35/3.71     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20932, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.35/3.71     ), 'class_HOL_Oplus'( X ) ] )
% 3.35/3.71  , clause( 20933, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.35/3.71     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20934, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 3.35/3.71    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.71  , clause( 20935, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 3.35/3.71    'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 20936, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 3.35/3.72    'class_HOL_Ozero'( X ) ] )
% 3.35/3.72  , clause( 20937, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20938, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20939, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 3.35/3.72    'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 20940, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 3.35/3.72    'class_HOL_Oone'( X ) ] )
% 3.35/3.72  , clause( 20941, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.35/3.72  , clause( 20942, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.35/3.72  , clause( 20943, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 3.35/3.72    'class_HOL_Otimes'( X ) ] )
% 3.35/3.72  , clause( 20944, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.35/3.72  , clause( 20945, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.35/3.72  , clause( 20946, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.35/3.72  , clause( 20947, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20948, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20949, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20950, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20951, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 20952, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_LOrder_Olorder'( X ) ] )
% 3.35/3.72  , clause( 20953, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.35/3.72  , clause( 20954, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.35/3.72  , clause( 20955, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_HOL_Ominus'( X ) ] )
% 3.35/3.72  , clause( 20956, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.35/3.72  , clause( 20957, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_HOL_Ozero'( X ) ] )
% 3.35/3.72  , clause( 20958, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.35/3.72  , clause( 20959, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20960, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20961, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.35/3.72  , clause( 20962, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.35/3.72    'class_Orderings_Oord'( X ) ] )
% 3.35/3.72  , clause( 20963, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.35/3.72  , clause( 20964, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.35/3.72  , clause( 20965, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20966, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20967, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20968, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 20969, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_LOrder_Olorder'( X ) ] )
% 3.35/3.72  , clause( 20970, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.35/3.72  , clause( 20971, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.35/3.72  , clause( 20972, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_Orderings_Oorder'( X ) ] )
% 3.35/3.72  , clause( 20973, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_Orderings_Oord'( X ) ] )
% 3.35/3.72  , clause( 20974, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.35/3.72  , clause( 20975, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_HOL_Ominus'( X ) ] )
% 3.35/3.72  , clause( 20976, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.35/3.72  , clause( 20977, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_HOL_Ozero'( X ) ] )
% 3.35/3.72  , clause( 20978, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.35/3.72  , clause( 20979, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20980, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20981, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20982, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.35/3.72  , clause( 20983, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.35/3.72  , clause( 20984, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20985, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20986, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20987, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20988, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 20989, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.35/3.72  , clause( 20990, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.35/3.72  , clause( 20991, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_LOrder_Olorder'( X ) ] )
% 3.35/3.72  , clause( 20992, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.35/3.72  , clause( 20993, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_HOL_Ominus'( X ) ] )
% 3.35/3.72  , clause( 20994, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.35/3.72  , clause( 20995, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_HOL_Ozero'( X ) ] )
% 3.35/3.72  , clause( 20996, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.35/3.72  , clause( 20997, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20998, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 20999, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_Orderings_Oorder'( X ) ] )
% 3.35/3.72  , clause( 21000, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.35/3.72     ), 'class_Orderings_Oord'( X ) ] )
% 3.35/3.72  , clause( 21001, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.35/3.72  , clause( 21002, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.35/3.72  , clause( 21003, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21004, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21005, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21006, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21007, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 21008, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.35/3.72  , clause( 21009, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.35/3.72  , clause( 21010, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_LOrder_Olorder'( X ) ] )
% 3.35/3.72  , clause( 21011, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.35/3.72  , clause( 21012, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_HOL_Ominus'( X ) ] )
% 3.35/3.72  , clause( 21013, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.35/3.72  , clause( 21014, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_HOL_Ozero'( X ) ] )
% 3.35/3.72  , clause( 21015, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.35/3.72  , clause( 21016, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21017, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21018, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_Orderings_Oorder'( X ) ] )
% 3.35/3.72  , clause( 21019, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.35/3.72     ), 'class_Orderings_Oord'( X ) ] )
% 3.35/3.72  , clause( 21020, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 3.35/3.72    'class_HOL_Oone'( X ) ] )
% 3.35/3.72  , clause( 21021, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.35/3.72  , clause( 21022, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 3.35/3.72    'class_HOL_Otimes'( X ) ] )
% 3.35/3.72  , clause( 21023, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21024, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21025, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_LOrder_Olorder'( X ) ] )
% 3.35/3.72  , clause( 21026, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.35/3.72  , clause( 21027, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.35/3.72  , clause( 21028, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.35/3.72  , clause( 21029, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.35/3.72  , clause( 21030, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_Orderings_Oord'( X ) ] )
% 3.35/3.72  , clause( 21031, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21032, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21033, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21034, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21035, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 21036, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_Orderings_Olinorder'( X ) ] )
% 3.35/3.72  , clause( 21037, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.35/3.72  , clause( 21038, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_HOL_Ominus'( X ) ] )
% 3.35/3.72  , clause( 21039, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_Orderings_Oorder'( X ) ] )
% 3.35/3.72  , clause( 21040, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_Orderings_Oord'( X ) ] )
% 3.35/3.72  , clause( 21041, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.35/3.72  , clause( 21042, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21043, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.35/3.72  , clause( 21044, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_HOL_Ozero'( X ) ] )
% 3.35/3.72  , clause( 21045, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21046, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21047, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21048, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21049, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 21050, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.35/3.72    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21051, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.35/3.72     ) ), 'class_Orderings_Oorder'( X ) ] )
% 3.35/3.72  , clause( 21052, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.35/3.72     ) ), 'class_Orderings_Oord'( X ) ] )
% 3.35/3.72  , clause( 21053, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.35/3.72     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21054, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.35/3.72     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21055, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.35/3.72     ) ), 'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 21056, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21057, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21058, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.35/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.35/3.72  , clause( 21059, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.35/3.72    'class_Orderings_Oord'( X ) ] )
% 3.35/3.72  , clause( 21060, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21061, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21062, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21063, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21064, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.35/3.72    'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 21065, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21066, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.35/3.72  , clause( 21067, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_Orderings_Oord'( X ) ] )
% 3.35/3.72  , clause( 21068, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21069, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21070, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_HOL_Oplus'( X ) ] )
% 3.35/3.72  , clause( 21071, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.35/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.35/3.72  , clause( 21072, [ ~( 
% 3.35/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21073, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21074, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21075, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 3.38/3.72    'class_LOrder_Olorder'( X ) ] )
% 3.38/3.72  , clause( 21076, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 3.38/3.72    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21077, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 3.38/3.72    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21078, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21079, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21080, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21081, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 21082, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 21083, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21084, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21085, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21086, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21087, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21088, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21089, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21090, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21091, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.38/3.72  , clause( 21092, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21093, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 3.38/3.72     ] )
% 3.38/3.72  , clause( 21094, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21095, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21096, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21097, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21098, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21099, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21100, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 21101, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21102, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21103, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 21104, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21105, [ ~( 'class_Power_Orecpower'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21106, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21107, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21108, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21109, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21110, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21111, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 3.38/3.72    X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21112, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 3.38/3.72    X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21113, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21114, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21115, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21116, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21117, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21118, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21119, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21120, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21121, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21122, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21123, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21124, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21125, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21126, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21127, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21128, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21129, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21130, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21131, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21132, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.38/3.72  , clause( 21133, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21134, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21135, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21136, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21137, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21138, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21139, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21140, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21141, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21142, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21143, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21144, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21145, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.38/3.72  , clause( 21146, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21147, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21148, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21149, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21150, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21151, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.38/3.72  , clause( 21152, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21153, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21154, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21155, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21156, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21157, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21158, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21159, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21160, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21161, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21162, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21163, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21164, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21165, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21166, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21167, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21168, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21169, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21170, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21171, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21172, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21173, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21174, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21175, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21176, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21177, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21178, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21179, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21180, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21181, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21182, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21183, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21184, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21185, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21186, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21187, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21188, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21189, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21190, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21191, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21192, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21193, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21194, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21195, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21196, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21197, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21198, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21199, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21200, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21201, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21202, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21203, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21204, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21205, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21206, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21207, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21208, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21209, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21210, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21211, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.38/3.72  , clause( 21212, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21213, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21214, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21215, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21216, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21217, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21218, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21219, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21220, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21221, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21222, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21223, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21224, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21225, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21226, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21227, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21228, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21229, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21230, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21231, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21232, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21233, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21234, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21235, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.38/3.72    'class_HOL_Oinverse'( X ) ] )
% 3.38/3.72  , clause( 21236, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.38/3.72  , clause( 21237, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.38/3.72  , clause( 21238, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21239, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21240, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21241, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21242, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21243, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21244, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21245, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21246, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21247, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21248, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.38/3.72  , clause( 21249, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21250, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21251, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21252, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21253, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21254, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21255, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21256, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21257, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21258, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21259, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21260, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_HOL_Oinverse'( X ) ] )
% 3.38/3.72  , clause( 21261, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oidom'( X ) ] )
% 3.38/3.72  , clause( 21262, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.38/3.72  , clause( 21263, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21264, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21265, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21266, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.38/3.72  , clause( 21267, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21268, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21269, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.38/3.72  , clause( 21270, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.38/3.72  , clause( 21271, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21272, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21273, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21274, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21275, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21276, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21277, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21278, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21279, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21280, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21281, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.38/3.72  , clause( 21282, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21283, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21284, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21285, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21286, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21287, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21288, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21289, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21290, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21291, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21292, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21293, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.38/3.72  , clause( 21294, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21295, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21296, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21297, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.38/3.72  , clause( 21298, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21299, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21300, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 3.38/3.72  , clause( 21301, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21302, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21303, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21304, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21305, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21306, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21307, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21308, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21309, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21310, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21311, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21312, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21313, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21314, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21315, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21316, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21317, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 3.38/3.72  , clause( 21318, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.38/3.72  , clause( 21319, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_LOrder_Olorder'( X ) ] )
% 3.38/3.72  , clause( 21320, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21321, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21322, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 3.38/3.72  , clause( 21323, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21324, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 3.38/3.72  , clause( 21325, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21326, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.38/3.72  , clause( 21327, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21328, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.38/3.72  , clause( 21329, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21330, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21331, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21332, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21333, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21334, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21335, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21336, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Orderings_Olinorder'( X ) ] )
% 3.38/3.72  , clause( 21337, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_LOrder_Olorder'( X ) ] )
% 3.38/3.72  , clause( 21338, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21339, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21340, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.38/3.72  , clause( 21341, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21342, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21343, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21344, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21345, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21346, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21347, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21348, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.38/3.72  , clause( 21349, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.38/3.72  , clause( 21350, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21351, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21352, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21353, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21354, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21355, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21356, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21357, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21358, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21359, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21360, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21361, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ofield'( X ) ] )
% 3.38/3.72  , clause( 21362, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_HOL_Oinverse'( X ) ] )
% 3.38/3.72  , clause( 21363, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.38/3.72  , clause( 21364, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21365, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21366, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21367, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21368, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21369, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21370, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21371, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21372, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21373, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oidom'( X ) ] )
% 3.38/3.72  , clause( 21374, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21375, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21376, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21377, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21378, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21379, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21380, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21381, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21382, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21383, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21384, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.38/3.72  , clause( 21385, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21386, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.38/3.72  , clause( 21387, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21388, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21389, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 3.38/3.72  , clause( 21390, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 3.38/3.72  , clause( 21391, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21392, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21393, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 3.38/3.72  , clause( 21394, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.38/3.72  , clause( 21395, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.38/3.72  , clause( 21396, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21397, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Orderings_Olinorder'( X ) ] )
% 3.38/3.72  , clause( 21398, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 3.38/3.72  , clause( 21399, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 3.38/3.72  , clause( 21400, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 3.38/3.72  , clause( 21401, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.38/3.72  , clause( 21402, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21403, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 3.38/3.72  , clause( 21404, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 3.38/3.72  , clause( 21405, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 3.38/3.72  , clause( 21406, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.38/3.72  , clause( 21407, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.38/3.72  , clause( 21408, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_LOrder_Olorder'( X ) ] )
% 3.38/3.72  , clause( 21409, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21410, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21411, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21412, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.38/3.72  , clause( 21413, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21414, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21415, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21416, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21417, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21418, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 3.38/3.72  , clause( 21419, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21420, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21421, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21422, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.38/3.72  , clause( 21423, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.38/3.72  , clause( 21424, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21425, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21426, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21427, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21428, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21429, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21430, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21431, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21432, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21433, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21434, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.38/3.72  , clause( 21435, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21436, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21437, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21438, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21439, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21440, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21441, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21442, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21443, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21444, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21445, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21446, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 3.38/3.72  , clause( 21447, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.38/3.72  , clause( 21448, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21449, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Orderings_Olinorder'( X ) ] )
% 3.38/3.72  , clause( 21450, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_LOrder_Olorder'( X ) ] )
% 3.38/3.72  , clause( 21451, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21452, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21453, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.38/3.72  , clause( 21454, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21455, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21456, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21457, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.38/3.72  , clause( 21458, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21459, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21460, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21461, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21462, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21463, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 3.38/3.72  , clause( 21464, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 3.38/3.72  , clause( 21465, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 3.38/3.72  , clause( 21466, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 3.38/3.72  , clause( 21467, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21468, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 3.38/3.72  , clause( 21469, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 3.38/3.72  , clause( 21470, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 3.38/3.72  , clause( 21471, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.38/3.72  , clause( 21472, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21473, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 3.38/3.72  , clause( 21474, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.38/3.72  , clause( 21475, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oidom'( X ) ] )
% 3.38/3.72  , clause( 21476, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21477, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.38/3.72  , clause( 21478, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21479, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21480, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21481, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21482, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21483, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21484, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21485, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21486, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21487, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.38/3.72  , clause( 21488, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21489, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Orderings_Olinorder'( X ) ] )
% 3.38/3.72  , clause( 21490, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_LOrder_Olorder'( X ) ] )
% 3.38/3.72  , clause( 21491, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21492, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21493, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21494, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.38/3.72  , clause( 21495, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21496, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.38/3.72  , clause( 21497, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21498, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21499, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21500, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21501, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 3.38/3.72  , clause( 21502, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.38/3.72  , clause( 21503, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21504, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21505, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 3.38/3.72  , clause( 21506, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 3.38/3.72  , clause( 21507, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 3.38/3.72  , clause( 21508, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 3.38/3.72  , clause( 21509, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 3.38/3.72  , clause( 21510, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.38/3.72  , clause( 21511, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21512, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21513, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21514, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21515, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21516, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.38/3.72     ), 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21517, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21518, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.38/3.72  , clause( 21519, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21520, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21521, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21522, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21523, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21524, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21525, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21526, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21527, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21528, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21529, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21530, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21531, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21532, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21533, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21534, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 3.38/3.72  , clause( 21535, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.38/3.72  , clause( 21536, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21537, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Orderings_Olinorder'( X ) ] )
% 3.38/3.72  , clause( 21538, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_LOrder_Olorder'( X ) ] )
% 3.38/3.72  , clause( 21539, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21540, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21541, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21542, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.38/3.72  , clause( 21543, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21544, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21545, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.38/3.72  , clause( 21546, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21547, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21548, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21549, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21550, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21551, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21552, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21553, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21554, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21555, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21556, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21557, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21558, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21559, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 3.38/3.72  , clause( 21560, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_LOrder_Olorder'( X ) ] )
% 3.38/3.72  , clause( 21561, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21562, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21563, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21564, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21565, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21566, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21567, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21568, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21569, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21570, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21571, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21572, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.38/3.72  , clause( 21573, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21574, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21575, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21576, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21577, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21578, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21579, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21580, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21581, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21582, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21583, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21584, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21585, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21586, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21587, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21588, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21589, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21590, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21591, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21592, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.38/3.72  , clause( 21593, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21594, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21595, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21596, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21597, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21598, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21599, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21600, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21601, [ ~( 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21602, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21603, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21604, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21605, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21606, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21607, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21608, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21609, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21610, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21611, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21612, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21613, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21614, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21615, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21616, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21617, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 3.38/3.72    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21618, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.38/3.72  , clause( 21619, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21620, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21621, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21622, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21623, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21624, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21625, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21626, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21627, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21628, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21629, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21630, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21631, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21632, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21633, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21634, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21635, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21636, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21637, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21638, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21639, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21640, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21641, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21642, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21643, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.38/3.72  , clause( 21644, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.38/3.72  , clause( 21645, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21646, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21647, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21648, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21649, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21650, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21651, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21652, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21653, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21654, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21655, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21656, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21657, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21658, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.38/3.72     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21659, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21660, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21661, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21662, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21663, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21664, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21665, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21666, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.38/3.72  , clause( 21667, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21668, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21669, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21670, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21671, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21672, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.38/3.72  , clause( 21673, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21674, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.38/3.72  , clause( 21675, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21676, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21677, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21678, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21679, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21680, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21681, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21682, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21683, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21684, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21685, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21686, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21687, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21688, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21689, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21690, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21691, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21692, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21693, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21694, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21695, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21696, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21697, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21698, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21699, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21700, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21701, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21702, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21703, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21704, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21705, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21706, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21707, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21708, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oring'( X ) ] )
% 3.38/3.72  , clause( 21709, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.38/3.72  , clause( 21710, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21711, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21712, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21713, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21714, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21715, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21716, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21717, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21718, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21719, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.38/3.72  , clause( 21720, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Ominus'( X ) ] )
% 3.38/3.72  , clause( 21721, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21722, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21723, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21724, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21725, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21726, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21727, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21728, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21729, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21730, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21731, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21732, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21733, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21734, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21735, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21736, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21737, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21738, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21739, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21740, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21741, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21742, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21743, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21744, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21745, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21746, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21747, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21748, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21749, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21750, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21751, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21752, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21753, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21754, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21755, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21756, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21757, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21758, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21759, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21760, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21761, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21762, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21763, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 3.38/3.72    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21764, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.38/3.72  , clause( 21765, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.38/3.72  , clause( 21766, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_HOL_Oone'( X ) ] )
% 3.38/3.72  , clause( 21767, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.38/3.72  , clause( 21768, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_HOL_Otimes'( X ) ] )
% 3.38/3.72  , clause( 21769, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21770, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21771, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.38/3.72  , clause( 21772, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.38/3.72  , clause( 21773, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.38/3.72  , clause( 21774, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.38/3.72  , clause( 21775, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_HOL_Ozero'( X ) ] )
% 3.38/3.72  , clause( 21776, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21777, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.38/3.72  , clause( 21778, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_HOL_Oplus'( X ) ] )
% 3.38/3.72  , clause( 21779, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.38/3.72    , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.38/3.72  , clause( 21780, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 3.38/3.72    'class_Orderings_Oord'( X ) ] )
% 3.38/3.72  , clause( 21781, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 3.38/3.72    'class_Orderings_Oorder'( X ) ] )
% 3.38/3.72  , clause( 21782, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 3.38/3.72    'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21783, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 3.38/3.72    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.38/3.72  , clause( 21784, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 3.38/3.72    'class_LOrder_Olorder'( X ) ] )
% 3.38/3.72  , clause( 21785, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 3.38/3.72    'class_Orderings_Olinorder'( X ) ] )
% 3.38/3.72  , clause( 21786, [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0'
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 21787, [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21788, [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) )
% 3.38/3.72    , 'c_plus'( 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 
% 3.38/3.72    'c_Suc'( Y ) ), 'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21789, [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X
% 3.38/3.72     ) ) ] )
% 3.38/3.72  , clause( 21790, [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ] )
% 3.38/3.72  , clause( 21791, [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ] )
% 3.38/3.72  , clause( 21792, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 3.38/3.72    'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 3.38/3.72  , clause( 21793, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( 
% 3.38/3.72    X, Y ), Y ), Y ) ] )
% 3.38/3.72  , clause( 21794, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 3.38/3.72    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21795, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 3.38/3.72    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21796, [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y )
% 3.38/3.72    , Y ), 'c_insert'( X, 'c_emptyset', Y ) ) ] )
% 3.38/3.72  , clause( 21797, [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X
% 3.38/3.72    , 'c_Datatype_Ooption_ONone' ) ] )
% 3.38/3.72  , clause( 21798, [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 
% 3.38/3.72    'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21799, [ ~( =( 'c_Datatype_Ooption_ONone', 
% 3.38/3.72    'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 3.38/3.72  , clause( 21800, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 3.38/3.72    'c_Datatype_Ooption_ONone' ) ) ] )
% 3.38/3.72  , clause( 21801, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 3.38/3.72    'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 3.38/3.72  , clause( 21802, [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 
% 3.38/3.72    'tc_Datatype_Ooption'( X ) ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21803, [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 3.38/3.72    'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21804, [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, 
% 3.38/3.72    T ) ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21805, [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 
% 3.38/3.72    'tc_sum'( Y, Z ) ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21806, [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 
% 3.38/3.72    'tc_sum'( Z, Y ) ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21807, [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y )
% 3.38/3.72    , Y ), X ) ] )
% 3.38/3.72  , clause( 21808, [ =( 'c_Datatype_Ounit_Ounit__case'( X, 
% 3.38/3.72    'c_Product__Type_OUnity', Y ), X ) ] )
% 3.38/3.72  , clause( 21809, [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 
% 3.38/3.72    'c_Product__Type_OUnity', Y ), X ) ] )
% 3.38/3.72  , clause( 21810, [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 
% 3.38/3.72    'tc_Product__Type_Ounit' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21811, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.38/3.72  , clause( 21812, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 3.38/3.72  , clause( 21813, [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( 
% 3.38/3.72    X, Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.38/3.72    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'( 
% 3.38/3.72    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.38/3.72     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 3.38/3.72    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.38/3.72     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ] )
% 3.38/3.72  , clause( 21814, [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X
% 3.38/3.72    , Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 3.38/3.72    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'( 
% 3.38/3.72    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.38/3.72     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 3.38/3.72    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.38/3.72     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ] )
% 3.38/3.72  , clause( 21815, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.38/3.72  , clause( 21816, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 3.38/3.72  , clause( 21817, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.38/3.72  , clause( 21818, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 3.38/3.72  , clause( 21819, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 3.38/3.72  , clause( 21820, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 3.38/3.72  , clause( 21821, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 3.38/3.72  , clause( 21822, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 3.38/3.72    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 3.38/3.72  , clause( 21823, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 3.38/3.72  , clause( 21824, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 3.38/3.72  , clause( 21825, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 3.38/3.72  , clause( 21826, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 3.38/3.72  , clause( 21827, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 3.38/3.72  , clause( 21828, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 
% 3.38/3.72    'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21829, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 3.38/3.72    'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ] )
% 3.38/3.72  , clause( 21830, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X )
% 3.38/3.72     ), 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 3.38/3.72    , Y, Z, T ), Z, T ) ) ] )
% 3.38/3.72  , clause( 21831, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X )
% 3.38/3.72     ), 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 3.38/3.72    , Y, Z, T ), Z, T ) ) ] )
% 3.38/3.72  , clause( 21832, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 3.38/3.72    'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ] )
% 3.38/3.72  , clause( 21833, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 3.38/3.72    'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ), 
% 3.38/3.72    'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ] )
% 3.38/3.72  , clause( 21834, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 3.38/3.72    'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ), 
% 3.38/3.72    'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 3.38/3.72     ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ] )
% 3.38/3.72  , clause( 21835, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 3.38/3.72    'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21836, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 3.38/3.72    'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21837, [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21838, [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ] )
% 3.38/3.72  , clause( 21839, [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21840, [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ] )
% 3.38/3.72  , clause( 21841, [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' )
% 3.38/3.72     ] )
% 3.38/3.72  , clause( 21842, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 
% 3.38/3.72    'tc_nat' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21843, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1'
% 3.38/3.72    , Y, 'tc_nat' ) ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21844, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 3.38/3.72    'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 3.38/3.72    'c_div'( Y, Z, 'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21845, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 3.38/3.72    'c_times'( Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 
% 3.38/3.72    'c_div'( Y, Z, 'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21846, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 3.38/3.72    'c_plus'( Y, 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 
% 3.38/3.72    'c_plus'( Z, 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21847, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 3.38/3.72    'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 3.38/3.72  , clause( 21848, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 3.38/3.72    'c_plus'( Y, 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 
% 3.38/3.72    'c_plus'( Z, 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21849, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 3.38/3.72    'c_times'( Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 3.38/3.72  , clause( 21850, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 
% 3.38/3.72    'tc_nat' ), 'c_1' ) ] )
% 3.38/3.72  , clause( 21851, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 
% 3.38/3.72    'c_0' ) ] )
% 3.38/3.72  , clause( 21852, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 3.38/3.72  , clause( 21853, [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' )
% 3.38/3.72     ), =( X, 'c_Suc'( 'c_0' ) ) ] )
% 3.38/3.72  , clause( 21854, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' )
% 3.38/3.72    , 'tc_nat' ) ] )
% 3.38/3.72  , clause( 21855, [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ] )
% 3.38/3.72  , clause( 21856, [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21857, [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' )
% 3.38/3.72    , 'c_0' ) ] )
% 3.38/3.72  , clause( 21858, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 
% 3.38/3.72    'tc_nat' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21859, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 
% 3.38/3.72    'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21860, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'( 
% 3.38/3.72    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ] )
% 3.38/3.72  , clause( 21861, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( 
% 3.38/3.72    X, Y, 'tc_nat' ), X ) ] )
% 3.38/3.72  , clause( 21862, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 
% 3.38/3.72    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ] )
% 3.38/3.72  , clause( 21863, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 
% 3.38/3.72    'tc_nat' ), 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 
% 3.38/3.72    'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21864, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X
% 3.38/3.72    , 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21865, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 
% 3.38/3.72    'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 
% 3.38/3.72    'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21866, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y
% 3.38/3.72    , 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21867, [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21868, [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 
% 3.38/3.72    'tc_nat' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21869, [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 
% 3.38/3.72    'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 21870, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 3.38/3.72    , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21871, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 
% 3.38/3.72    'c_emptyset', X, Y ) ) ] )
% 3.38/3.72  , clause( 21872, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 
% 3.38/3.72    'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21873, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 3.38/3.72    , 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21874, [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 3.38/3.72    'c_Extraction_Osumbool_OLeft', Z ), X ) ] )
% 3.38/3.72  , clause( 21875, [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 3.38/3.72    'c_Extraction_Osumbool_ORight', Z ), Y ) ] )
% 3.38/3.72  , clause( 21876, [ ~( =( 'c_Extraction_Osumbool_OLeft', 
% 3.38/3.72    'c_Extraction_Osumbool_ORight' ) ) ] )
% 3.38/3.72  , clause( 21877, [ ~( =( 'c_Extraction_Osumbool_ORight', 
% 3.38/3.72    'c_Extraction_Osumbool_OLeft' ) ) ] )
% 3.38/3.72  , clause( 21878, [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 3.38/3.72    'c_Extraction_Osumbool_OLeft', Z ), X ) ] )
% 3.38/3.72  , clause( 21879, [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 3.38/3.72    'c_Extraction_Osumbool_ORight', Z ), Y ) ] )
% 3.38/3.72  , clause( 21880, [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft', 
% 3.38/3.72    'tc_Extraction_Osumbool' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21881, [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight', 
% 3.38/3.72    'tc_Extraction_Osumbool' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21882, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, 
% 3.38/3.72    X ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 
% 3.38/3.72    'c_lessequals'( Y, 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset'
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 21883, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'( 
% 3.38/3.72    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21884, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 3.38/3.72    'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z, 
% 3.38/3.72    'c_Finite__Set_OMax'( Y, X ), X ) ) ] )
% 3.38/3.72  , clause( 21885, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, 
% 3.38/3.72    X ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 
% 3.38/3.72    'c_lessequals'( 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y
% 3.38/3.72    , T, X ), =( Z, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21886, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 3.38/3.72    'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( 
% 3.38/3.72    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21887, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 3.38/3.72    'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'( 
% 3.38/3.72    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21888, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, 
% 3.38/3.72    X ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 
% 3.38/3.72    'c_less'( 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), 
% 3.38/3.72    =( Z, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21889, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 3.38/3.72    'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'( 
% 3.38/3.72    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21890, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( 
% 3.38/3.72    'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'( 
% 3.38/3.72    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21891, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 3.38/3.72    'c_Finite__Set_OMax'( 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ] )
% 3.38/3.72  , clause( 21892, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, 
% 3.38/3.72    X ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 
% 3.38/3.72    'c_lessequals'( T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T
% 3.38/3.72    , Y, X ), =( Z, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21893, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 3.38/3.72    'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z, 
% 3.38/3.72    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21894, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z, 
% 3.38/3.72    'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z, 
% 3.38/3.72    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21895, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, 
% 3.38/3.72    X ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 
% 3.38/3.72    'c_less'( T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), 
% 3.38/3.72    =( Z, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21896, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 3.38/3.72    'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z, 
% 3.38/3.72    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21897, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z, 
% 3.38/3.72    'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z, 
% 3.38/3.72    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21898, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'( 
% 3.38/3.72    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21899, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 3.38/3.72    'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z, 
% 3.38/3.72    'c_Finite__Set_OMin'( Y, X ), X ) ) ] )
% 3.38/3.72  , clause( 21900, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, 
% 3.38/3.72    X ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 
% 3.38/3.72    'c_lessequals'( 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset'
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 21901, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 3.38/3.72    'c_Finite__Set_OMin'( 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ] )
% 3.38/3.72  , clause( 21902, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.38/3.72     ), ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' )
% 3.38/3.72     ] )
% 3.38/3.72  , clause( 21903, [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 
% 3.38/3.72    'tc_set'( X ) ) ), =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21904, [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21905, [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), 
% 3.38/3.72    =( 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21906, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.38/3.72     ), 'c_in'( Z, X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y
% 3.38/3.72     ), 'c_Suc'( 'c_Finite__Set_Ocard'( X, Y ) ) ) ] )
% 3.38/3.72  , clause( 21907, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.38/3.72     ), 'c_in'( 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 
% 3.38/3.72    'tc_set'( Y ) ) ] )
% 3.38/3.72  , clause( 21908, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( 
% 3.38/3.72    T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 3.38/3.72    , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 3.38/3.72  , clause( 21909, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 
% 3.38/3.72    'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 
% 3.38/3.72    'tc_set'( Z ) ) ] )
% 3.38/3.72  , clause( 21910, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 
% 3.38/3.72    'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 
% 3.38/3.72    'tc_set'( Y ) ) ] )
% 3.38/3.72  , clause( 21911, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.38/3.72     ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( 
% 3.38/3.72    Y ) ) ) ] )
% 3.38/3.72  , clause( 21912, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 3.38/3.72  , clause( 21913, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 3.38/3.72  , clause( 21914, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.38/3.72     ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 3.38/3.72    'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 3.38/3.72  , clause( 21915, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 3.38/3.72  , clause( 21916, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 3.38/3.72    'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 3.38/3.72  , clause( 21917, [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 3.38/3.72  , clause( 21918, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 3.38/3.72    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( 
% 3.38/3.72    'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y, 
% 3.38/3.72    'c_emptyset' ) ] )
% 3.38/3.72  , clause( 21919, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, 
% 3.38/3.72    X ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 3.38/3.72    'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 3.38/3.72     ), Y ) ] )
% 3.38/3.72  , clause( 21920, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, 
% 3.38/3.72    X ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 3.38/3.72    'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 3.38/3.72     ), Y ) ] )
% 3.38/3.72  , clause( 21921, [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ] )
% 3.38/3.72  , clause( 21922, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 3.38/3.72  , clause( 21923, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat'
% 3.38/3.72     ) ), X ) ] )
% 3.38/3.72  , clause( 21924, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat'
% 3.38/3.72     ) ), X ) ] )
% 3.38/3.72  , clause( 21925, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat'
% 3.38/3.72    , 'tc_nat' ) ), 'c_1' ) ] )
% 3.38/3.72  , clause( 21926, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat'
% 3.38/3.72    , 'tc_nat' ) ), 'c_1' ) ] )
% 3.38/3.72  , clause( 21927, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y
% 3.38/3.72    , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 
% 3.38/3.72    'tc_nat' ) ) ) ] )
% 3.38/3.72  , clause( 21928, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' )
% 3.38/3.72    , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 
% 3.38/3.72    'tc_nat' ) ) ) ] )
% 3.38/3.72  , clause( 21929, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' )
% 3.38/3.72    , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 
% 3.38/3.72    'tc_nat' ) ) ) ] )
% 3.38/3.72  , clause( 21930, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 3.38/3.72    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 3.38/3.72    'tc_nat' ) ] )
% 3.38/3.72  , clause( 21931, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 3.38/3.72    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 
% 3.38/3.72    'tc_nat' ) ] )
% 3.38/3.72  , clause( 21932, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 
% 3.38/3.72    'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 
% 3.38/3.72    'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 3.38/3.72  , clause( 21933, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat'
% 3.38/3.72     ), 'tc_nat', 'tc_nat' ) ), X ) ] )
% 3.38/3.72  , clause( 21934, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) )
% 3.38/3.72    , X ) ] )
% 3.38/3.72  , clause( 21935, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 
% 3.38/3.72    'tc_nat' ) ) ) ] )
% 3.38/3.72  , clause( 21936, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ] )
% 3.38/3.72  , clause( 21937, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Power_Orecpower'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 3.38/3.72    'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 3.38/3.72     ), 'c_1' ) ] )
% 3.38/3.72  , clause( 21938, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ] )
% 3.38/3.72  , clause( 21939, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.72  , clause( 21940, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 3.38/3.72    , X ), X ) ] )
% 3.38/3.72  , clause( 21941, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 3.38/3.72    , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.72  , clause( 21942, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ] )
% 3.38/3.72  , clause( 21943, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 3.38/3.72  , clause( 21944, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ] )
% 3.38/3.72  , clause( 21945, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 3.38/3.72    Y, X ), 'c_1', X ) ] )
% 3.38/3.72  , clause( 21946, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~( 
% 3.38/3.72    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 3.38/3.72  , clause( 21947, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'( 
% 3.38/3.72    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.72  , clause( 21948, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 3.38/3.72  , clause( 21949, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.72  , clause( 21950, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ] )
% 3.38/3.72  , clause( 21951, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 3.38/3.72  , clause( 21952, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 3.38/3.72    , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', 
% 3.38/3.72    X ) ) ] )
% 3.38/3.72  , clause( 21953, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 3.38/3.72    , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 21954, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 3.38/3.72    'c_1', 'c_1', X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 3.38/3.72    'c_Numeral_Obit_OB0' ), X ) ) ] )
% 3.38/3.72  , clause( 21955, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 3.38/3.72    'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obit_OB1' ), Y ), X ) ) ] )
% 3.38/3.72  , clause( 21956, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obit_OB1' ) ), X ) ) ] )
% 3.38/3.72  , clause( 21957, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 3.38/3.72    'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ] )
% 3.38/3.72  , clause( 21958, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ] )
% 3.38/3.72  , clause( 21959, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ] )
% 3.38/3.72  , clause( 21960, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 3.38/3.72  , clause( 21961, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 3.38/3.72    , X ), X ) ] )
% 3.38/3.72  , clause( 21962, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 3.38/3.72    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 3.38/3.72    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 3.38/3.72  , clause( 21963, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ] )
% 3.38/3.72  , clause( 21964, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ] )
% 3.38/3.72  , clause( 21965, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ] )
% 3.38/3.72  , clause( 21966, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.72    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.72    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.72    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 3.38/3.72     ), 'c_1' ) ] )
% 3.38/3.72  , clause( 21967, [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 3.38/3.72    , 'tc_IntDef_Oint' ) ) ) ] )
% 3.38/3.72  , clause( 21968, [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 3.38/3.72    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 21969, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 
% 3.38/3.72    'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 21970, [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ] )
% 3.38/3.72  , clause( 21971, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 
% 3.38/3.72    'c_IntDef_Oof__int'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 
% 3.38/3.72    'tc_IntDef_Oint' ), X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) )
% 3.38/3.72     ] )
% 3.38/3.72  , clause( 21972, [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 
% 3.38/3.72    'tc_nat' ) ), 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 21973, [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 3.38/3.72    'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ] )
% 3.38/3.72  , clause( 21974, [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 21975, [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1'
% 3.38/3.72    , 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ] )
% 3.38/3.72  , clause( 21976, [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1'
% 3.38/3.72    , 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 21977, [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 21978, [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 3.38/3.72    X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 21979, [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 21980, [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 
% 3.38/3.72    X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 21981, [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 
% 3.38/3.72    'tc_nat', 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 
% 3.38/3.72    'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y )
% 3.38/3.72    , 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ] )
% 3.38/3.72  , clause( 21982, [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 
% 3.38/3.72    'tc_nat', 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 
% 3.38/3.72    'c_IntDef_OAbs__Integ'( X ) ), X ) ] )
% 3.38/3.72  , clause( 21983, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'c_in'( 'c_0', 'c_IntDef_OInts', X ) ] )
% 3.38/3.72  , clause( 21984, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 3.38/3.72    'c_in'( 'c_1', 'c_IntDef_OInts', X ) ] )
% 3.38/3.72  , clause( 21985, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 3.38/3.72    'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 3.38/3.72    , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 3.38/3.72  , clause( 21986, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 3.38/3.72    'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 3.38/3.72    , 'c_in'( 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 3.38/3.72  , clause( 21987, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 3.38/3.72    'c_in'( Y, 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 
% 3.38/3.72    'c_IntDef_OInts', X ) ] )
% 3.38/3.72  , clause( 21988, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 3.38/3.72    'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 3.38/3.72    , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 3.38/3.72  , clause( 21989, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'c_in'( 'c_0', 'c_IntDef_ONats', X ) ] )
% 3.38/3.72  , clause( 21990, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'c_in'( 'c_1', 'c_IntDef_ONats', X ) ] )
% 3.38/3.72  , clause( 21991, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), ~( 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 
% 3.38/3.72    'c_IntDef_ONats', X ) ), 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 21992, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), ~( 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 
% 3.38/3.72    'c_IntDef_ONats', X ) ), 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', 
% 3.38/3.72    X ) ] )
% 3.38/3.72  , clause( 21993, [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 3.38/3.72     ), 'c_IntDef_Oint'( X ) ) ] )
% 3.38/3.72  , clause( 21994, [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 
% 3.38/3.72    'c_insert'( X, 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 
% 3.38/3.72    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 
% 3.38/3.72    'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 
% 3.38/3.72    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 
% 3.38/3.72    'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 
% 3.38/3.72    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 
% 3.38/3.72    'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 3.38/3.72    'tc_nat', 'tc_nat' ) ) ) ] )
% 3.38/3.72  , clause( 21995, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat'
% 3.38/3.72     ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 3.38/3.72    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), 
% 3.38/3.72    =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset', 
% 3.38/3.72    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 
% 3.38/3.72    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'( 
% 3.38/3.72    'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat', 
% 3.38/3.72    'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 
% 3.38/3.72    'tc_nat' ) ) ) ] )
% 3.38/3.72  , clause( 21996, [ ~( =( 'c_0', 'c_1' ) ) ] )
% 3.38/3.72  , clause( 21997, [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ] )
% 3.38/3.72  , clause( 21998, [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 
% 3.38/3.72    'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 21999, [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 22000, [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22001, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), 
% 3.38/3.72    =( X, Y ) ] )
% 3.38/3.72  , clause( 22002, [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 
% 3.38/3.72    'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ] )
% 3.38/3.72  , clause( 22003, [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22004, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22005, [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 
% 3.38/3.72    'c_IntDef_Oint'( 'c_IntDef_Onat'( X ) ), X ) ] )
% 3.38/3.72  , clause( 22006, [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 
% 3.38/3.72    'c_IntDef_Oint'( 'c_IntDef_Onat'( X ) ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22007, [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 
% 3.38/3.72    'c_insert'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 
% 3.38/3.72    'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 3.38/3.72    'tc_nat', 'tc_nat' ) ), 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat'
% 3.38/3.72    , 'tc_nat' ) ) ) ] )
% 3.38/3.72  , clause( 22008, [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 3.38/3.72     ), 'c_Pair'( Z, T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' )
% 3.38/3.72    , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 3.38/3.72    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), 
% 3.38/3.72    =( 'c_plus'( X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ] )
% 3.38/3.72  , clause( 22009, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 
% 3.38/3.72    'tc_nat' ) ) ), 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 
% 3.38/3.72    'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 
% 3.38/3.72    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 3.38/3.72    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 3.38/3.72  , clause( 22010, [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ] )
% 3.38/3.72  , clause( 22011, [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 
% 3.38/3.72    'c_IntDef_Onat'( X ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22012, [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22013, [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22014, [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X
% 3.38/3.72     ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22015, [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 3.38/3.72     ), 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ] )
% 3.38/3.72  , clause( 22016, [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 3.38/3.72     ), 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ] )
% 3.38/3.72  , clause( 22017, [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( 'c_0' ) ) ] )
% 3.38/3.72  , clause( 22018, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 
% 3.38/3.72    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22019, [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22020, [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 
% 3.38/3.72    'c_Suc'( X ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22021, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    =( 'c_0', 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 3.38/3.72  , clause( 22022, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 3.38/3.72    'c_0', 'c_IntDef_Oof__int'( 'c_0', X ) ) ] )
% 3.38/3.72  , clause( 22023, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_lessequals'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 
% 3.38/3.72    'c_0', Y, 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22024, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_lessequals'( 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 
% 3.38/3.72    'c_IntDef_Oof__int'( Y, X ), X ) ] )
% 3.38/3.72  , clause( 22025, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22026, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 
% 3.38/3.72    'c_IntDef_Oof__int'( Y, X ), X ) ] )
% 3.38/3.72  , clause( 22027, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 3.38/3.72    'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ] )
% 3.38/3.72  , clause( 22028, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 3.38/3.72    'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'( 
% 3.38/3.72    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 3.38/3.72  , clause( 22029, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 3.38/3.72    'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'( 
% 3.38/3.72    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 3.38/3.72  , clause( 22030, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    =( 'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 3.38/3.72  , clause( 22031, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 3.38/3.72    'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22032, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    =( 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 22033, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 3.38/3.72    'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 3.38/3.72    , X ) ) ] )
% 3.38/3.72  , clause( 22034, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 
% 3.38/3.72    Y, 'c_0', 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22035, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_lessequals'( Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 
% 3.38/3.72    'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ] )
% 3.38/3.72  , clause( 22036, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X )
% 3.38/3.72    , X ) ), 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22037, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 
% 3.38/3.72    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ] )
% 3.38/3.72  , clause( 22038, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22039, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_less'( Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( 
% 3.38/3.72    Y, X ), 'c_0', X ) ] )
% 3.38/3.72  , clause( 22040, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) )
% 3.38/3.72    , 'c_less'( Y, Z, 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22041, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.72    'c_less'( Y, Z, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X
% 3.38/3.72     ), 'c_IntDef_Oof__int'( Z, X ), X ) ] )
% 3.38/3.72  , clause( 22042, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 3.38/3.72    'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'( 
% 3.38/3.72    'c_IntDef_Oof__int'( Y, X ), X ) ) ] )
% 3.38/3.72  , clause( 22043, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 3.38/3.72    'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'( 
% 3.38/3.72    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 3.38/3.72  , clause( 22044, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 3.38/3.72    'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ), 
% 3.38/3.72    'c_NatArith_Oof__nat'( Y, X ) ) ] )
% 3.38/3.72  , clause( 22045, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.72    X ) ), 'c_in'( 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ] )
% 3.38/3.72  , clause( 22046, [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 3.38/3.72  , clause( 22047, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 3.38/3.72    'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22048, [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 
% 3.38/3.72    'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22049, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 3.38/3.72    'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ] )
% 3.38/3.72  , clause( 22050, [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22051, [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( 
% 3.38/3.72    Y ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 3.38/3.72  , clause( 22052, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 3.38/3.72    'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22053, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y )
% 3.38/3.72    , 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 3.38/3.72  , clause( 22054, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 
% 3.38/3.72    'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22055, [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y )
% 3.38/3.72    , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22056, [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y )
% 3.38/3.72    , 'tc_nat' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22057, [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 3.38/3.72    'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 
% 3.38/3.72    'c_IntDef_Onat'( Y ), 'tc_nat' ) ] )
% 3.38/3.72  , clause( 22058, [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 22059, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 3.38/3.72     ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 3.38/3.72    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22060, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 3.38/3.72     ), =( 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_fst'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22061, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 3.38/3.72    'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22062, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 3.38/3.72     ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 3.38/3.72    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22063, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_fst'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( 
% 3.38/3.72    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22064, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 3.38/3.72    'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_fst'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22065, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22066, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 3.38/3.72    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22067, [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 3.38/3.72     ), Y, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22068, [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22069, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 3.38/3.72     ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 3.38/3.72     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 3.38/3.72    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22070, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 3.38/3.72     ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 3.38/3.72     ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_snd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22071, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 3.38/3.72    'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 3.38/3.72    , 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 3.38/3.72    'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22072, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 3.38/3.72     ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 3.38/3.72     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 3.38/3.72    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22073, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1'
% 3.38/3.72    , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( 
% 3.38/3.72    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22074, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 3.38/3.72    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22075, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 
% 3.38/3.72    'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 
% 3.38/3.72    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 3.38/3.72    'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22076, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 
% 3.38/3.72    'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 3.38/3.72    , 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 3.38/3.72  , clause( 22077, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 
% 3.38/3.72    'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22078, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 3.38/3.72    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 
% 3.38/3.72    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 3.38/3.72  , clause( 22079, [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 3.38/3.72    'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22080, [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X
% 3.38/3.72    , 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22081, [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 
% 3.38/3.72    'c_lessequals'( 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22082, [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22083, [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 
% 3.38/3.72    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22084, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 3.38/3.72    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 
% 3.38/3.72    'c_0', 'c_1', 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22085, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 3.38/3.72    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 3.38/3.72    'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_times'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 3.38/3.72  , clause( 22086, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 
% 3.38/3.72    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22087, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 
% 3.38/3.72    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 3.38/3.72    'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.72    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 3.38/3.72  , clause( 22088, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 3.38/3.72    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 22089, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 
% 3.38/3.72    'c_lessequals'( 'c_0', 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22090, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' )
% 3.38/3.72     ] )
% 3.38/3.72  , clause( 22091, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_times'( X, 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint'
% 3.38/3.72     ) ) ] )
% 3.38/3.72  , clause( 22092, [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ] )
% 3.38/3.72  , clause( 22093, [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 3.38/3.72    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint'
% 3.38/3.72     ) ) ] )
% 3.38/3.72  , clause( 22094, [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X
% 3.38/3.72    , 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 3.38/3.72     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 3.38/3.72     ] )
% 3.38/3.72  , clause( 22095, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( 
% 3.38/3.72    Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22096, [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 
% 3.38/3.72    'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 
% 3.38/3.72    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 
% 3.38/3.72    'c_plus'( 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22097, [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_1' ) ] )
% 3.38/3.72  , clause( 22098, [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22099, [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 
% 3.38/3.72    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22100, [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22101, [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22102, [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 
% 3.38/3.72    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), Y ) ] )
% 3.38/3.72  , clause( 22103, [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), Y ) ] )
% 3.38/3.72  , clause( 22104, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 3.38/3.72    , =( X, 'c_0' ) ] )
% 3.38/3.72  , clause( 22105, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 3.38/3.72     )
% 3.38/3.72  , clause( 22106, [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y
% 3.38/3.72    , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22107, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'( 
% 3.38/3.72    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.72    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22108, [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22109, [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22110, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0'
% 3.38/3.72    , 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X, 
% 3.38/3.72    'c_0' ) ] )
% 3.38/3.72  , clause( 22111, [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 
% 3.38/3.72    'c_0' ) ] )
% 3.38/3.72  , clause( 22112, [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 
% 3.38/3.72    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22113, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 3.38/3.72     ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 22114, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 3.38/3.72    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 3.38/3.72    'tc_IntDef_Oint' ) ] )
% 3.38/3.72  , clause( 22115, [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_0' ) ] )
% 3.38/3.72  , clause( 22116, [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 3.38/3.72    'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22117, [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0'
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 22118, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22119, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22120, [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 
% 3.38/3.72    'c_0' ) ] )
% 3.38/3.72  , clause( 22121, [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 3.38/3.72     ), 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 3.38/3.72    'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 3.38/3.72  , clause( 22122, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22123, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 
% 3.38/3.72    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22124, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 
% 3.38/3.72    'c_LOrder_Ojoin'( Y, Y, X ), Y ) ] )
% 3.38/3.72  , clause( 22125, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 
% 3.38/3.72    'c_LOrder_Omeet'( Y, Y, X ), Y ) ] )
% 3.38/3.72  , clause( 22126, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.72    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 3.38/3.72     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 3.38/3.72    Z, Z ) ), =( X, T ) ] )
% 3.38/3.72  , clause( 22127, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.72    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 3.38/3.72     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 3.38/3.72    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 3.38/3.72    Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.72  , clause( 22128, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.72    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 3.38/3.72     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y, 
% 3.38/3.72    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.72  , clause( 22129, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.72    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 3.38/3.72     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 3.38/3.72    , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 
% 3.38/3.72    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y, 
% 3.38/3.72    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.72  , clause( 22130, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 3.38/3.72     ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W, 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 3.38/3.72    , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 3.38/3.72    Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.72  , clause( 22131, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 3.38/3.72    Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( 
% 3.38/3.72    U, X, Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 3.38/3.72    Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.72  , clause( 22132, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 3.38/3.72    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 3.38/3.72    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 3.38/3.72  , clause( 22133, [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 3.38/3.72    , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22134, [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 
% 3.38/3.72    'c_List_Oset'( X, 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 
% 3.38/3.72    'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ] )
% 3.38/3.72  , clause( 22135, [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 
% 3.38/3.72    'c_List_Olist_ONil' ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y )
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 22136, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 3.38/3.72    =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22137, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 3.38/3.72    =( Y, 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22138, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 3.38/3.72    , 'c_List_Olist_ONil', X ) ) ] )
% 3.38/3.72  , clause( 22139, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), 
% 3.38/3.72    =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22140, [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 
% 3.38/3.72    'c_List_Olist_ONil', X ) ) ] )
% 3.38/3.72  , clause( 22141, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 3.38/3.72    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 3.38/3.72    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 3.38/3.72  , clause( 22142, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 3.38/3.72    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 3.38/3.72    'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 3.38/3.72  , clause( 22143, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 3.38/3.72    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 3.38/3.72    'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 3.38/3.72  , clause( 22144, [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( 
% 3.38/3.72    X, 'c_append'( Y, T, Z ), Z ) ) ] )
% 3.38/3.72  , clause( 22145, [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 
% 3.38/3.72    'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 
% 3.38/3.72    'c_List_Olist_ONil', Y ), Y ), X ) ] )
% 3.38/3.72  , clause( 22146, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 3.38/3.72    'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y )
% 3.38/3.72    , 'c_append'( Z, U, Y ) ) ), =( X, Z ) ] )
% 3.38/3.72  , clause( 22147, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 3.38/3.72    'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y )
% 3.38/3.72    , 'c_append'( Z, U, Y ) ) ), =( T, U ) ] )
% 3.38/3.72  , clause( 22148, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 3.38/3.72    'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y )
% 3.38/3.72    , 'c_append'( U, Z, Y ) ) ), =( T, U ) ] )
% 3.38/3.72  , clause( 22149, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 3.38/3.72    'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y )
% 3.38/3.72    , 'c_append'( U, Z, Y ) ) ), =( X, Z ) ] )
% 3.38/3.72  , clause( 22150, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 3.38/3.72     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ] )
% 3.38/3.72  , clause( 22151, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 3.38/3.72     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ] )
% 3.38/3.72  , clause( 22152, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 3.38/3.72    Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 3.38/3.72    , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 3.38/3.72    Z ) ) ] )
% 3.38/3.72  , clause( 22153, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 3.38/3.72    =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22154, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 3.38/3.72    =( Y, 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22155, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 3.38/3.72    , X ), 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22156, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), 
% 3.38/3.72    =( X, T ) ] )
% 3.38/3.72  , clause( 22157, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 
% 3.38/3.72    'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22158, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 3.38/3.72  , clause( 22159, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 
% 3.38/3.72    'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22160, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 3.38/3.72  , clause( 22161, [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( 
% 3.38/3.72    X, Y, Z ), Z ), Y ) ] )
% 3.38/3.72  , clause( 22162, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 
% 3.38/3.72    'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22163, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 
% 3.38/3.72    'c_List_Olist_ONil', Y ), Y ), 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22164, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'( 
% 3.38/3.72    'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y, 
% 3.38/3.72    'c_List_Obutlast'( X, Z ), Z ) ) ] )
% 3.38/3.72  , clause( 22165, [ =( 'c_List_Obutlast'( 'c_append'( X, 
% 3.38/3.72    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ] )
% 3.38/3.72  , clause( 22166, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 3.38/3.72    Z, T ) ) ), =( X, Z ) ] )
% 3.38/3.72  , clause( 22167, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 3.38/3.72    Z, T ) ) ), =( Y, T ) ] )
% 3.38/3.72  , clause( 22168, [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 
% 3.38/3.72    'tc_List_Ochar' ), 'c_0' ) ] )
% 3.38/3.72  , clause( 22169, [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 
% 3.38/3.72    'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22170, [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 
% 3.38/3.72    'tc_List_Olist'( Z ) ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z )
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 22171, [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( 
% 3.38/3.72    Z ) ), Z ), 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z
% 3.38/3.72     ), Z ) ) ] )
% 3.38/3.72  , clause( 22172, [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 3.38/3.72    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ), 
% 3.38/3.72    'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22173, [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 
% 3.38/3.72    'c_List_Oset'( X, 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 
% 3.38/3.72    'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ] )
% 3.38/3.72  , clause( 22174, [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 
% 3.38/3.72    'c_List_Olist_ONil' ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil'
% 3.38/3.72     ) ] )
% 3.38/3.72  , clause( 22175, [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) )
% 3.38/3.72    , 'c_List_Odistinct'( X, Y ) ] )
% 3.38/3.72  , clause( 22176, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 3.38/3.72    'c_List_Orotate1'( X, Y ), Y ) ] )
% 3.38/3.72  , clause( 22177, [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ] )
% 3.38/3.72  , clause( 22178, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.72    Z ) ), ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22179, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    Z ) ), 'c_List_Odistinct'( Y, Z ) ] )
% 3.38/3.73  , clause( 22180, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 3.38/3.73    'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22181, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 3.38/3.73    'c_List_Odistinct'( X, Z ) ] )
% 3.38/3.73  , clause( 22182, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 3.38/3.73    'c_List_Odistinct'( Y, Z ) ] )
% 3.38/3.73  , clause( 22183, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 
% 3.38/3.73    'c_inter'( 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 
% 3.38/3.73    'c_emptyset' ) ] )
% 3.38/3.73  , clause( 22184, [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( 
% 3.38/3.73    Z, Y ) ), ~( =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), 
% 3.38/3.73    Y ), 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22185, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 3.38/3.73    'c_List_Odrop'( Z, X, Y ), Y ) ] )
% 3.38/3.73  , clause( 22186, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 3.38/3.73    'c_List_Oremove1'( Z, X, Y ), Y ) ] )
% 3.38/3.73  , clause( 22187, [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ), 
% 3.38/3.73    'c_List_Odistinct'( X, Y ) ] )
% 3.38/3.73  , clause( 22188, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 3.38/3.73    'c_List_Orev'( X, Y ), Y ) ] )
% 3.38/3.73  , clause( 22189, [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z )
% 3.38/3.73     ), 'c_List_Odistinct'( Y, Z ) ] )
% 3.38/3.73  , clause( 22190, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 3.38/3.73    'c_List_Orotate'( Z, X, Y ), Y ) ] )
% 3.38/3.73  , clause( 22191, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 3.38/3.73    'c_List_Osublist'( X, Z, Y ), Y ) ] )
% 3.38/3.73  , clause( 22192, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 3.38/3.73    'c_List_Otake'( Z, X, Y ), Y ) ] )
% 3.38/3.73  , clause( 22193, [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22194, [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22195, [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ] )
% 3.38/3.73  , clause( 22196, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) )
% 3.38/3.73    , =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22197, [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 3.38/3.73     ), 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22198, [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y
% 3.38/3.73    , Z, T ), T ), 'c_List_Odrop'( X, Z, T ) ) ] )
% 3.38/3.73  , clause( 22199, [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 
% 3.38/3.73    'c_append'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 
% 3.38/3.73    'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 3.38/3.73  , clause( 22200, [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 
% 3.38/3.73    'c_List_Odrop'( 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ] )
% 3.38/3.73  , clause( 22201, [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) )
% 3.38/3.73    , 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22202, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y
% 3.38/3.73     ) ), Z, 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil'
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22203, [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T
% 3.38/3.73     ), 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ] )
% 3.38/3.73  , clause( 22204, [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' )
% 3.38/3.73    , 'c_List_Oupt'( 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ] )
% 3.38/3.73  , clause( 22205, [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22206, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 
% 3.38/3.73    'c_List_Ohd'( X, Y ), 'c_List_Otl'( X, Y ), Y ), X ) ] )
% 3.38/3.73  , clause( 22207, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( 
% 3.38/3.73    X, Y, Z ), Z ), 'c_List_Ohd'( X, Z ) ) ] )
% 3.38/3.73  , clause( 22208, [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y )
% 3.38/3.73    , =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22209, [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, 
% 3.38/3.73    Y, Z ), Z ), Y ) ] )
% 3.38/3.73  , clause( 22210, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 
% 3.38/3.73    'c_List_Oupt'( X, Y ), 'tc_nat' ), X ) ] )
% 3.38/3.73  , clause( 22211, [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( 
% 3.38/3.73    X, Z ), Y, Z ) ) ] )
% 3.38/3.73  , clause( 22212, [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22213, [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 3.38/3.73    Z ), 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22214, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 
% 3.38/3.73    'c_List_Olist_ONil', Y ), Y ), X ) ] )
% 3.38/3.73  , clause( 22215, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 
% 3.38/3.73    'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ] )
% 3.38/3.73  , clause( 22216, [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y
% 3.38/3.73     ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 3.38/3.73  , clause( 22217, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 
% 3.38/3.73    'c_append'( Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ] )
% 3.38/3.73  , clause( 22218, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 3.38/3.73    , 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 
% 3.38/3.73    'c_List_Olast'( Y, Z ) ) ] )
% 3.38/3.73  , clause( 22219, [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y
% 3.38/3.73     ), =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22220, [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X
% 3.38/3.73    , Y, Z ), Z ), Y ) ] )
% 3.38/3.73  , clause( 22221, [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( 
% 3.38/3.73    Y, 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ] )
% 3.38/3.73  , clause( 22222, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 
% 3.38/3.73    'c_List_Oupt'( X, Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22223, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 3.38/3.73     ), =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22224, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( 
% 3.38/3.73    X ) ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22225, [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( 
% 3.38/3.73    Z ) ), 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( 
% 3.38/3.73    Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22226, [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 
% 3.38/3.73    'tc_List_Olist'( Y ) ), 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 3.38/3.73     ), 'c_1', 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22227, [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ), 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 3.38/3.73     ), X, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22228, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 3.38/3.73    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22229, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 3.38/3.73     ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22230, [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ), 
% 3.38/3.73    'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ] )
% 3.38/3.73  , clause( 22231, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 3.38/3.73    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 
% 3.38/3.73    'c_List_Oremdups'( X, Y ), X ) ] )
% 3.38/3.73  , clause( 22232, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 3.38/3.73    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 3.38/3.73    'tc_List_Olist'( Y ) ) ) ] )
% 3.38/3.73  , clause( 22233, [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ), X ) ] )
% 3.38/3.73  , clause( 22234, [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( 
% 3.38/3.73    Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 3.38/3.73  , clause( 22235, [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 
% 3.38/3.73    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 3.38/3.73  , clause( 22236, [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.73  , clause( 22237, [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 
% 3.38/3.73    'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22238, [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( 
% 3.38/3.73    Y ) ), 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 
% 3.38/3.73    'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22239, [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 
% 3.38/3.73    'tc_nat' ) ), 'c_minus'( Y, X, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22240, [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 
% 3.38/3.73    'tc_List_Olist'( 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( 
% 3.38/3.73    X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 
% 3.38/3.73    'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22241, [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ] )
% 3.38/3.73  , clause( 22242, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 3.38/3.73    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 
% 3.38/3.73    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 3.38/3.73    'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ), 
% 3.38/3.73    'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ] )
% 3.38/3.73  , clause( 22243, [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 
% 3.38/3.73    'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 3.38/3.73     ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.73  , clause( 22244, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 3.38/3.73    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 
% 3.38/3.73    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 3.38/3.73  , clause( 22245, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 3.38/3.73     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 3.38/3.73    Z, Z ) ), =( X, T ) ] )
% 3.38/3.73  , clause( 22246, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 3.38/3.73     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 3.38/3.73    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 3.38/3.73    Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.73  , clause( 22247, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 3.38/3.73     ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 3.38/3.73     ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.73  , clause( 22248, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 
% 3.38/3.73    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 
% 3.38/3.73    'c_List_Olist_OCons'( U, X, Z ), 'c_List_Olist_OCons'( U, Y, Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 
% 3.38/3.73    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 3.38/3.73  , clause( 22249, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 3.38/3.73     ) ) ) ] )
% 3.38/3.73  , clause( 22250, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ) ] )
% 3.38/3.73  , clause( 22251, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 3.38/3.73  , clause( 22252, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 3.38/3.73  , clause( 22253, [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    'tc_List_Olist'( Z ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 3.38/3.73     ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22254, [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22255, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 
% 3.38/3.73    'c_List_Olist__inter'( 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( X, 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22256, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 
% 3.38/3.73    'c_List_Olist__inter'( 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 
% 3.38/3.73    'c_List_Olist__inter'( T, Y, Z ) ) ] )
% 3.38/3.73  , clause( 22257, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z
% 3.38/3.73     ), 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22258, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y
% 3.38/3.73     ) ), Z, 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ] )
% 3.38/3.73  , clause( 22259, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 3.38/3.73    , 'tc_nat' ) ), =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z )
% 3.38/3.73    , Z ), Y ) ] )
% 3.38/3.73  , clause( 22260, [ =( 'c_List_Olist__update'( 'c_append'( X, 
% 3.38/3.73    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( 
% 3.38/3.73    T ) ), U, T ), 'c_append'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ] )
% 3.38/3.73  , clause( 22261, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 3.38/3.73    , 'tc_nat' ) ), =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, 
% 3.38/3.73    T, Z ), X, U, Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ] )
% 3.38/3.73  , clause( 22262, [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 
% 3.38/3.73    'c_insert'( 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ), 
% 3.38/3.73    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'( 
% 3.38/3.73    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ] )
% 3.38/3.73  , clause( 22263, [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 
% 3.38/3.73    'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22264, [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 3.38/3.73  , clause( 22265, [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 
% 3.38/3.73    'c_insert'( 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22266, [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 
% 3.38/3.73    'tc_set'( Z ) ), Z ), 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), 
% 3.38/3.73    Z ) ) ] )
% 3.38/3.73  , clause( 22267, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), 
% 3.38/3.73    V3 ) ] )
% 3.38/3.73  , clause( 22268, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), 
% 3.38/3.73    V4 ) ] )
% 3.38/3.73  , clause( 22269, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), 
% 3.38/3.73    V5 ) ] )
% 3.38/3.73  , clause( 22270, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), 
% 3.38/3.73    V6 ) ] )
% 3.38/3.73  , clause( 22271, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), 
% 3.38/3.73    V7 ) ] )
% 3.38/3.73  , clause( 22272, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), 
% 3.38/3.73    V8 ) ] )
% 3.38/3.73  , clause( 22273, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), 
% 3.38/3.73    V9 ) ] )
% 3.38/3.73  , clause( 22274, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22275, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22276, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22277, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22278, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22279, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22280, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), 
% 3.38/3.73    V0 ) ] )
% 3.38/3.73  , clause( 22281, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), 
% 3.38/3.73    V1 ) ] )
% 3.38/3.73  , clause( 22282, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0
% 3.38/3.73    , V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), 
% 3.38/3.73    V2 ) ] )
% 3.38/3.73  , clause( 22283, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22284, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22285, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22286, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22287, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22288, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22289, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22290, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22291, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22292, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22293, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22294, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22295, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22296, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22297, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22298, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 3.38/3.73    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22299, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22300, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22301, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22302, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22303, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22304, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22305, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22306, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22307, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22308, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22309, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22310, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22311, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22312, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22313, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22314, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 
% 3.38/3.73    'tc_List_Onibble' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22315, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 3.38/3.73  , clause( 22316, [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T
% 3.38/3.73     ), T ), T ) ), 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ] )
% 3.38/3.73  , clause( 22317, [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T
% 3.38/3.73     ), T ), T ) ), 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ] )
% 3.38/3.73  , clause( 22318, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0'
% 3.38/3.73    , Z ), X ) ] )
% 3.38/3.73  , clause( 22319, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    'c_Suc'( T ), Z ), 'c_List_Onth'( Y, T, Z ) ) ] )
% 3.38/3.73  , clause( 22320, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) )
% 3.38/3.73    , =( 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), T ), Y ) ] )
% 3.38/3.73  , clause( 22321, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22322, [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y
% 3.38/3.73    , Z, T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ] )
% 3.38/3.73  , clause( 22323, [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 
% 3.38/3.73    'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 
% 3.38/3.73    'c_List_Onth'( Y, T, Z ) ) ] )
% 3.38/3.73  , clause( 22324, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 
% 3.38/3.73    'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 
% 3.38/3.73    'c_List_Odrop'( X, Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 
% 3.38/3.73    'tc_nat' ), T ) ) ] )
% 3.38/3.73  , clause( 22325, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 3.38/3.73    , 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X
% 3.38/3.73    , Z ), T ) ] )
% 3.38/3.73  , clause( 22326, [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, 
% 3.38/3.73    X, T, U ), Y, U ), 'c_List_Onth'( Z, Y, U ) ) ] )
% 3.38/3.73  , clause( 22327, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 3.38/3.73    , 'tc_nat' ) ), 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), 
% 3.38/3.73    Z ) ] )
% 3.38/3.73  , clause( 22328, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 
% 3.38/3.73    'c_List_Oreplicate'( Y, Z, T ), X, T ), Z ) ] )
% 3.38/3.73  , clause( 22329, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 
% 3.38/3.73    'c_List_Otake'( Y, Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ] )
% 3.38/3.73  , clause( 22330, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) )
% 3.38/3.73    , =( 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y
% 3.38/3.73    , 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22331, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 3.38/3.73    , 'tc_nat' ) ), ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) )
% 3.38/3.73    , 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 
% 3.38/3.73    'tc_prod'( U, Z ) ), 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y
% 3.38/3.73    , X, Z ), U, Z ) ) ] )
% 3.38/3.73  , clause( 22332, [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ] )
% 3.38/3.73  , clause( 22333, [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22334, [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22335, [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 3.38/3.73  , clause( 22336, [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 3.38/3.73    , T ) ), 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ] )
% 3.38/3.73  , clause( 22337, [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22338, [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X
% 3.38/3.73    , 'c_List_Olist_OCons'( T, Y, Z ), Z ) ] )
% 3.38/3.73  , clause( 22339, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 
% 3.38/3.73    'c_List_Oremdups'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 3.38/3.73    'c_List_Oremdups'( Y, Z ) ) ] )
% 3.38/3.73  , clause( 22340, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 
% 3.38/3.73    'c_List_Oremdups'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( X, 'c_List_Oremdups'( Y, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22341, [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) )
% 3.38/3.73    , =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22342, [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22343, [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) )
% 3.38/3.73    , =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22344, [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 
% 3.38/3.73    'c_List_Olist_ONil', X ) ) ] )
% 3.38/3.73  , clause( 22345, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22346, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z )
% 3.38/3.73    , Z ), Y ) ] )
% 3.38/3.73  , clause( 22347, [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( 
% 3.38/3.73    Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T
% 3.38/3.73     ) ) ] )
% 3.38/3.73  , clause( 22348, [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22349, [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22350, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 3.38/3.73    'c_append'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 
% 3.38/3.73    'c_List_Olist_ONil', Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22351, [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'( 
% 3.38/3.73    'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22352, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 3.38/3.73    , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( 
% 3.38/3.73    Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 3.38/3.73  , clause( 22353, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 3.38/3.73    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 3.38/3.73    'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 3.38/3.73  , clause( 22354, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), 
% 3.38/3.73    =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22355, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22356, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), 
% 3.38/3.73    =( X, Z ) ] )
% 3.38/3.73  , clause( 22357, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 3.38/3.73    'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 3.38/3.73  , clause( 22358, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 3.38/3.73  , clause( 22359, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, 
% 3.38/3.73    'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z, 
% 3.38/3.73    'c_List_Olist_ONil', Y ) ) ] )
% 3.38/3.73  , clause( 22360, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 
% 3.38/3.73    'c_List_Olist_ONil', Y ), Y ), 'c_List_Olist_OCons'( X, 
% 3.38/3.73    'c_List_Olist_ONil', Y ) ) ] )
% 3.38/3.73  , clause( 22361, [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) )
% 3.38/3.73    , =( X, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22362, [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22363, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y
% 3.38/3.73     ) ), 'c_1', 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ] )
% 3.38/3.73  , clause( 22364, [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 
% 3.38/3.73    'c_List_Orotate1'( 'c_List_Orotate'( X, Y, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22365, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 
% 3.38/3.73    'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y
% 3.38/3.73    , Z ), Y ) ] )
% 3.38/3.73  , clause( 22366, [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' )
% 3.38/3.73     ), =( Y, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22367, [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22368, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y
% 3.38/3.73     ) ), 'c_1', 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ] )
% 3.38/3.73  , clause( 22369, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), 
% 3.38/3.73    =( Y, T ) ] )
% 3.38/3.73  , clause( 22370, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22371, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 3.38/3.73  , clause( 22372, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22373, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 3.38/3.73  , clause( 22374, [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 3.38/3.73    'c_insert'( X, 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22375, [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 
% 3.38/3.73    'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 3.38/3.73  , clause( 22376, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22377, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22378, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22379, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22380, [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 
% 3.38/3.73    'c_List_Oset'( X, Y ) ) ] )
% 3.38/3.73  , clause( 22381, [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 
% 3.38/3.73    'c_List_Oremove1'( Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 
% 3.38/3.73    'c_insert'( Z, 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ] )
% 3.38/3.73  , clause( 22382, [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X
% 3.38/3.73    , Y, Z ), Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ] )
% 3.38/3.73  , clause( 22383, [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 
% 3.38/3.73    'c_List_Oset'( X, Y ) ) ] )
% 3.38/3.73  , clause( 22384, [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 
% 3.38/3.73    'c_List_Oset'( X, Y ) ) ] )
% 3.38/3.73  , clause( 22385, [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 
% 3.38/3.73    'c_List_Oset'( Y, Z ) ) ] )
% 3.38/3.73  , clause( 22386, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y )
% 3.38/3.73    , 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 
% 3.38/3.73    'c_List_Olist_ONil', Y ) ) ] )
% 3.38/3.73  , clause( 22387, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 
% 3.38/3.73    'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22388, [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22389, [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22390, [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'( 
% 3.38/3.73    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ] )
% 3.38/3.73  , clause( 22391, [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'( 
% 3.38/3.73    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22392, [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 
% 3.38/3.73    'tc_nat' ), Z ), 'c_List_Otake'( Y, X, Z ) ) ] )
% 3.38/3.73  , clause( 22393, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) )
% 3.38/3.73    , =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22394, [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 3.38/3.73     ), 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 
% 3.38/3.73    'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 3.38/3.73    , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_0' ) ] )
% 3.38/3.73  , clause( 22395, [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y
% 3.38/3.73    , Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22396, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y
% 3.38/3.73     ) ), Z, 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ] )
% 3.38/3.73  , clause( 22397, [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 
% 3.38/3.73    'c_append'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 
% 3.38/3.73    'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 3.38/3.73  , clause( 22398, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) )
% 3.38/3.73    , =( X, 'c_0' ), =( Y, 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22399, [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22400, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22401, [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T
% 3.38/3.73     ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22402, [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 
% 3.38/3.73    'c_List_Otake'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ] )
% 3.38/3.73  , clause( 22403, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 
% 3.38/3.73    'tc_nat' ) ), =( 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 
% 3.38/3.73    'c_List_Oupt'( X, 'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 3.38/3.73  , clause( 22404, [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22405, [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22406, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( 
% 3.38/3.73    X, Y, Z ), Z ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ] )
% 3.38/3.73  , clause( 22407, [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, 
% 3.38/3.73    Y, Z ), Z ), 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22408, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( 
% 3.38/3.73    X, 'c_Suc'( Y ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 
% 3.38/3.73    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22409, [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 
% 3.38/3.73    'c_Suc'( Y ) ), 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22410, [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 
% 3.38/3.73    'c_lessequals'( Y, X, 'tc_nat' ), =( Y, 'c_0' ) ] )
% 3.38/3.73  , clause( 22411, [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22412, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( 
% 3.38/3.73    Y, X ), 'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22413, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 3.38/3.73  , clause( 22414, [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22415, [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 3.38/3.73    'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'( 
% 3.38/3.73    X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ] )
% 3.38/3.73  , clause( 22416, [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 
% 3.38/3.73    'c_List_Olist_ONil' ) ] )
% 3.38/3.73  , clause( 22417, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 3.38/3.73    'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 
% 3.38/3.73    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 
% 3.38/3.73    'c_List_Ozip'( 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 
% 3.38/3.73    'c_append'( 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 
% 3.38/3.73    'tc_prod'( Y, T ) ) ) ] )
% 3.38/3.73  , clause( 22418, [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 
% 3.38/3.73    'c_List_Oreplicate'( T, U, W ), Z, W ), 'c_List_Oreplicate'( 
% 3.38/3.73    'c_Orderings_Omin'( X, T, 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( 
% 3.38/3.73    Z, W ) ) ) ] )
% 3.38/3.73  , clause( 22419, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 
% 3.38/3.73    'c_Map_Omap__of'( 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 
% 3.38/3.73    'c_Datatype_Ooption_ONone' ) ), ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( 
% 3.38/3.73    Z ) ), 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ) ) ) ] )
% 3.38/3.73  , clause( 22420, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 3.38/3.73    'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X
% 3.38/3.73    , Y ), Y ), =( 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ), 
% 3.38/3.73    'c_Datatype_Ooption_ONone' ) ] )
% 3.38/3.73  , clause( 22421, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 
% 3.38/3.73    'c_minus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 
% 3.38/3.73    'tc_nat' ), X, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22422, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 
% 3.38/3.73    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 
% 3.38/3.73    'tc_nat' ), X, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22423, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 
% 3.38/3.73    'c_Suc'( 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( 
% 3.38/3.73    Z, X, 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22424, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 
% 3.38/3.73    'c_Suc'( 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( 
% 3.38/3.73    Y ), 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22425, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 
% 3.38/3.73    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), X ) ] )
% 3.38/3.73  , clause( 22426, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 
% 3.38/3.73    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 
% 3.38/3.73    'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22427, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 3.38/3.73    , Y, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22428, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.73    X ) ), =( 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 
% 3.38/3.73    'c_NatArith_Oof__nat'( Y, X ), 'c_1', X ) ) ] )
% 3.38/3.73  , clause( 22429, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( =( 'c_0', 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 3.38/3.73  , clause( 22430, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    =( 'c_0', 'c_NatArith_Oof__nat'( 'c_0', X ) ) ] )
% 3.38/3.73  , clause( 22431, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    'c_lessequals'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22432, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0'
% 3.38/3.73    , Y, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22433, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( 'c_less'( 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_NatArith_Oof__nat'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22434, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.73    X ) ), =( 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ] )
% 3.38/3.73  , clause( 22435, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.73    X ) ), =( 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 
% 3.38/3.73    'c_plus'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X
% 3.38/3.73     ) ) ] )
% 3.38/3.73  , clause( 22436, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 3.38/3.73    'c_lessequals'( Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( 
% 3.38/3.73    Z, Y, 'tc_nat' ), X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 
% 3.38/3.73    'c_NatArith_Oof__nat'( Y, X ), X ) ) ] )
% 3.38/3.73  , clause( 22437, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( =( 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 3.38/3.73  , clause( 22438, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    =( 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22439, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( =( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), 
% 3.38/3.73    =( Y, Z ) ] )
% 3.38/3.73  , clause( 22440, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 
% 3.38/3.73    'c_0' ) ] )
% 3.38/3.73  , clause( 22441, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    'c_lessequals'( 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22442, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( 
% 3.38/3.73    Z, X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22443, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 
% 3.38/3.73    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ] )
% 3.38/3.73  , clause( 22444, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ] )
% 3.38/3.73  , clause( 22445, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X )
% 3.38/3.73    , X ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22446, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.38/3.73    ~( 'c_less'( Y, Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X )
% 3.38/3.73    , 'c_NatArith_Oof__nat'( Z, X ), X ) ] )
% 3.38/3.73  , clause( 22447, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.73    X ) ), =( 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 
% 3.38/3.73    'c_times'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), 
% 3.38/3.73    X ) ) ] )
% 3.38/3.73  , clause( 22448, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Suc'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_1' ) ] )
% 3.38/3.73  , clause( 22449, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Suc'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22450, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_plus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22451, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 3.38/3.73    'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.73    X, 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22452, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 3.38/3.73    'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.73    X, 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 3.38/3.73    Y, X ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22453, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22454, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_div'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ) ) ) ] )
% 3.38/3.73  , clause( 22455, [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 
% 3.38/3.73    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22456, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) )
% 3.38/3.73    , 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22457, [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) )
% 3.38/3.73    , 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.73  , clause( 22458, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22459, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22460, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 
% 3.38/3.73    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.73  , clause( 22461, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 
% 3.38/3.73    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.73  , clause( 22462, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22463, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22464, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 3.38/3.73    , ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22465, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.73  , clause( 22466, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22467, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22468, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 3.38/3.73    , 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22469, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22470, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.73    'c_Numeral_Obin__minus'( X ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 3.38/3.73    , 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22471, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22472, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 
% 3.38/3.73    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 3.38/3.73    , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22473, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) )
% 3.38/3.73    , 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.73  , clause( 22474, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22475, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22476, [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 
% 3.38/3.73    'c_plus'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22477, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22478, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ) ) ] )
% 3.38/3.73  , clause( 22479, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 3.38/3.73     ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_Obin__minus'( X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.73  , clause( 22480, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_Obin__minus'( X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 3.38/3.73    'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22481, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.38/3.73  , clause( 22482, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22483, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 3.38/3.73    'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22484, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 3.38/3.73    , 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 3.38/3.73    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22485, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 3.38/3.73    , 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 3.38/3.73    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22486, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22487, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 3.38/3.73    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22488, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 3.38/3.73    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 
% 3.38/3.73    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22489, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22490, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( 
% 3.38/3.73    X, Y ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22491, [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ) ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22492, [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' )
% 3.38/3.73    , 'c_0' ) ] )
% 3.38/3.73  , clause( 22493, [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ] )
% 3.38/3.73  , clause( 22494, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 3.38/3.73    'tc_IntDef_Oint' ) ), =( 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, 'tc_nat' ), X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22495, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 3.38/3.73    'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 3.38/3.73  , clause( 22496, [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X
% 3.38/3.73    , 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22497, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 3.38/3.73    'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 
% 3.38/3.73    'c_Suc'( 'c_0' ) ) ] )
% 3.38/3.73  , clause( 22498, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 
% 3.38/3.73    'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 
% 3.38/3.73    'c_IntDef_Onat'( 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X
% 3.38/3.73    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ] )
% 3.38/3.73  , clause( 22499, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 3.38/3.73    'c_1', 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.73    'tc_nat' ), X ), 'c_1' ) ] )
% 3.38/3.73  , clause( 22500, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X ), 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Y, X
% 3.38/3.73     ), X ) ) ] )
% 3.38/3.73  , clause( 22501, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'( 
% 3.38/3.73    'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 3.38/3.73    'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 3.38/3.73    , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.73    'tc_nat' ), Z, 'tc_nat' ), X ) ) ] )
% 3.38/3.73  , clause( 22502, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 3.38/3.73    , 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22503, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 3.38/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Nat_Opower'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, 'tc_nat' ), 'tc_IntDef_Oint' ) ) ) ] )
% 3.38/3.73  , clause( 22504, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.73    'tc_nat' ), X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22505, [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 3.38/3.73    'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 3.38/3.73    'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22506, [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X )
% 3.38/3.73     ) ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 3.38/3.73    'c_Divides_Oop_Amod'( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'tc_nat' ), X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22507, [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 3.38/3.73    'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 3.38/3.73     ) ) ] )
% 3.38/3.73  , clause( 22508, [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 3.38/3.73    'c_Suc'( 'c_Suc'( X ) ) ) ] )
% 3.38/3.73  , clause( 22509, [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), X ) ] )
% 3.38/3.73  , clause( 22510, [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22511, [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 
% 3.38/3.73    'tc_nat' ), 'c_div'( X, 'c_plus'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 3.38/3.73    , 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22512, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 3.38/3.73     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22513, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 3.38/3.73    , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 3.38/3.73    , 'c_0' ) ] )
% 3.38/3.73  , clause( 22514, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 3.38/3.73     ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 3.38/3.73    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ] )
% 3.38/3.73  , clause( 22515, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 3.38/3.73     ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22516, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 3.38/3.73    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 3.38/3.73    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22517, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 3.38/3.73    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22518, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 3.38/3.73    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 3.38/3.73    , X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22519, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 3.38/3.73    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ] )
% 3.38/3.73  , clause( 22520, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 3.38/3.73    'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), 
% 3.38/3.73    X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 3.38/3.73     ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22521, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.38/3.73    , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 3.38/3.73     ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 3.38/3.73    , 'c_0', X ) ] )
% 3.38/3.73  , clause( 22522, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 3.38/3.73    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 3.38/3.73    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22523, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 3.38/3.73    , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22524, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22525, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.38/3.73    , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 3.38/3.73    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 
% 3.38/3.73    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 3.38/3.73  , clause( 22526, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'( 
% 3.38/3.73    T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22527, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.38/3.73    , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, 
% 3.38/3.73    X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 3.38/3.73    , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 3.38/3.73    , X ) ] )
% 3.38/3.73  , clause( 22528, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'( 
% 3.38/3.73    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 
% 3.38/3.73    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ] )
% 3.38/3.73  , clause( 22529, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 3.38/3.73    'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 3.38/3.73     ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 3.38/3.73    , X ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22530, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 3.38/3.73    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 3.38/3.73    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 3.38/3.73     ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 3.38/3.73    , T, X ) ] )
% 3.38/3.73  , clause( 22531, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 3.38/3.73    'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'( 
% 3.38/3.73    'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22532, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22533, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 3.38/3.73    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22534, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 3.38/3.73    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22535, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 3.38/3.73    , X ), 'c_less'( 'c_0', Z, X ) ] )
% 3.38/3.73  , clause( 22536, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 3.38/3.73     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 3.38/3.73    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22537, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 3.38/3.73     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 3.38/3.73    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22538, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 3.38/3.73    , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22539, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 3.38/3.73    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22540, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 3.38/3.73    Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 3.38/3.73     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22541, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 3.38/3.73     ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 3.38/3.73  , clause( 22542, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 3.38/3.73    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22543, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 3.38/3.73     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 3.38/3.73    , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 3.38/3.73    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 3.38/3.73  , clause( 22544, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22545, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 3.38/3.73    'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22546, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 3.38/3.73    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 3.38/3.73    , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22547, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 3.38/3.73     ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 3.38/3.73     ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22548, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22549, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 3.38/3.73     ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 3.38/3.73    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ] )
% 3.38/3.73  , clause( 22550, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 3.38/3.73    , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 3.38/3.73     ), X ) ) ] )
% 3.38/3.73  , clause( 22551, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 3.38/3.73     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22552, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, 
% 3.38/3.73    X ), X ) ) ] )
% 3.38/3.73  , clause( 22553, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ), 
% 3.38/3.73    'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) ) ] )
% 3.38/3.73  , clause( 22554, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'( 
% 3.38/3.73    'c_1', X ), X ), 'c_1' ) ] )
% 3.38/3.73  , clause( 22555, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 3.38/3.73  , clause( 22556, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22557, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 3.38/3.73     ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ] )
% 3.38/3.73  , clause( 22558, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_divide'( 'c_1', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 3.38/3.73  , clause( 22559, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'( 
% 3.38/3.73    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'( 
% 3.38/3.73    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ] )
% 3.38/3.73  , clause( 22560, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 3.38/3.73    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'( 
% 3.38/3.73    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22561, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 3.38/3.73    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22562, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 3.38/3.73    'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 3.38/3.73    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 3.38/3.73    , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22563, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 3.38/3.73    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 
% 3.38/3.73    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22564, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 3.38/3.73    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 3.38/3.73    T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 3.38/3.73    , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 3.38/3.73    , X ) ] )
% 3.38/3.73  , clause( 22565, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 3.38/3.73    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22566, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 3.38/3.73    'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 3.38/3.73    , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 3.38/3.73     ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 3.38/3.73     ), X ) ] )
% 3.38/3.73  , clause( 22567, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 3.38/3.73    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 3.38/3.73    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 3.38/3.73     ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), 
% 3.38/3.73    X ), X ) ] )
% 3.38/3.73  , clause( 22568, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 3.38/3.73    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 3.38/3.73    T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y, 
% 3.38/3.73    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22569, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 3.38/3.73     ), X ) ] )
% 3.38/3.73  , clause( 22570, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 3.38/3.73     ), X ) ] )
% 3.38/3.73  , clause( 22571, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 3.38/3.73    'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22572, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 
% 3.38/3.73    'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22573, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_minus'( Y, Z, X )
% 3.38/3.73    , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_minus'( 'c_times'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ] )
% 3.38/3.73  , clause( 22574, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z, 
% 3.38/3.73    X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ] )
% 3.38/3.73  , clause( 22575, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 3.38/3.73  , clause( 22576, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 3.38/3.73    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 3.38/3.73  , clause( 22577, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y, 
% 3.38/3.73    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 3.38/3.73    'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22578, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 3.38/3.73     ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 3.38/3.73     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22579, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 3.38/3.73    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 3.38/3.73  , clause( 22580, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 3.38/3.73     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 3.38/3.73    , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 3.38/3.73    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 3.38/3.73  , clause( 22581, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'( 
% 3.38/3.73    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22582, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 3.38/3.73     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 3.38/3.73    , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 3.38/3.73    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22583, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 3.38/3.73    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'( 
% 3.38/3.73    Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22584, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 3.38/3.73     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 3.38/3.73    , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 3.38/3.73    , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), 
% 3.38/3.73    X ), X ) ] )
% 3.38/3.73  , clause( 22585, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 3.38/3.73    , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22586, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22587, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, 
% 3.38/3.73    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22588, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 3.38/3.73    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22589, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( 
% 3.38/3.73    'c_divide'( 'c_1', Y, X ), X ) ) ] )
% 3.38/3.73  , clause( 22590, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ] )
% 3.38/3.73  , clause( 22591, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 3.38/3.73     ) ) ] )
% 3.38/3.73  , clause( 22592, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 3.38/3.73    , Y, X ) ] )
% 3.38/3.73  , clause( 22593, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ), 
% 3.38/3.73    'c_1', X ) ] )
% 3.38/3.73  , clause( 22594, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 3.38/3.73    'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22595, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 
% 3.38/3.73    'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22596, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22597, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22598, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( 
% 3.38/3.73    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 3.38/3.73  , clause( 22599, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'( 
% 3.38/3.73    'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22600, [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22601, [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'c_1' ) ] )
% 3.38/3.73  , clause( 22602, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 3.38/3.73    'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22603, [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y
% 3.38/3.73     ) ) ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 3.38/3.73    'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22604, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22605, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22606, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 3.38/3.73    , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22607, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 3.38/3.73    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 3.38/3.73  , clause( 22608, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 3.38/3.73    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ] )
% 3.38/3.73  , clause( 22609, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 3.38/3.73  , clause( 22610, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22611, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22612, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22613, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 3.38/3.73    'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 3.38/3.73    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22614, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 3.38/3.73    'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22615, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 3.38/3.73    , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22616, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 3.38/3.73    , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ] )
% 3.38/3.73  , clause( 22617, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ] )
% 3.38/3.73  , clause( 22618, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22619, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 3.38/3.73    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 3.38/3.73  , clause( 22620, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 3.38/3.73    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22621, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 3.38/3.73    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 3.38/3.73  , clause( 22622, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ] )
% 3.38/3.73  , clause( 22623, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ] )
% 3.38/3.73  , clause( 22624, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 3.38/3.73    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22625, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 3.38/3.73    , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 3.38/3.73    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 3.38/3.73  , clause( 22626, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 3.38/3.73    , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 3.38/3.73    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22627, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 3.38/3.73    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 3.38/3.73    'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 3.38/3.73  , clause( 22628, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X ), X ), 'c_minus'( 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 3.38/3.73  , clause( 22629, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'( 
% 3.38/3.73    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 3.38/3.73  , clause( 22630, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.38/3.73    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 3.38/3.73    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 3.38/3.73    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22631, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.38/3.73    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 3.38/3.73    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22632, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.38/3.73    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 3.38/3.73    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 3.38/3.73    , X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22633, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.38/3.73    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 3.38/3.73    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ] )
% 3.38/3.73  , clause( 22634, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.38/3.73    , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 3.38/3.73     ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 3.38/3.73    , Y, X ), X ) ] )
% 3.38/3.73  , clause( 22635, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 3.38/3.73    'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', 
% 3.38/3.73    X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 3.38/3.73    , Y, X ), X ) ] )
% 3.38/3.73  , clause( 22636, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 3.38/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22637, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 3.38/3.73    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22638, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 3.38/3.73    'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22639, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.38/3.73    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 3.38/3.73    'c_0', X ), 'c_less'( 'c_0', Z, X ) ] )
% 3.38/3.73  , clause( 22640, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 3.38/3.73     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 3.38/3.73    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22641, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 3.38/3.73     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 3.38/3.73    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22642, [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ] )
% 3.38/3.73  , clause( 22643, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 3.38/3.73  , clause( 22644, [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 3.38/3.73    'c_Suc'( Z ), 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 
% 3.38/3.73    'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22645, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 3.38/3.73     ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22646, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 3.38/3.73    'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22647, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 3.38/3.73    'c_less'( X, Y, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22648, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 3.38/3.73    , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22649, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 3.38/3.73  , clause( 22650, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 
% 3.38/3.73    'c_minus'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), X ) ] )
% 3.38/3.73  , clause( 22651, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 3.38/3.73  , clause( 22652, [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ] )
% 3.38/3.73  , clause( 22653, [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 3.38/3.73    'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 3.38/3.73  , clause( 22654, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 3.38/3.73     ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22655, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22656, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22657, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22658, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22659, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22660, [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22661, [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 
% 3.38/3.73    'c_minus'( X, Y, 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22662, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( 
% 3.38/3.73    X, 'c_Suc'( Y ), 'tc_nat' ), X, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22663, [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' )
% 3.38/3.73    , 'c_minus'( X, 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22664, [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 
% 3.38/3.73    'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22665, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, 
% 3.38/3.73    Y, 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22666, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat'
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22667, [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22668, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22669, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22670, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 
% 3.38/3.73    'c_minus'( Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 3.38/3.73  , clause( 22671, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 
% 3.38/3.73    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), Y ) ] )
% 3.38/3.73  , clause( 22672, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 3.38/3.73    'c_0' ) ] )
% 3.38/3.73  , clause( 22673, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22674, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 3.38/3.73  , clause( 22675, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22676, [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ] )
% 3.38/3.73  , clause( 22677, [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ] )
% 3.38/3.73  , clause( 22678, [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 
% 3.38/3.73    'tc_nat' ), 'c_Suc'( 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ] )
% 3.38/3.73  , clause( 22679, [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22680, [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22681, [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 
% 3.38/3.73    'tc_nat' ), 'c_Suc'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ] )
% 3.38/3.73  , clause( 22682, [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22683, [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 
% 3.38/3.73    'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22684, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 
% 3.38/3.73    'tc_nat' ) ) ), =( Y, Z ), =( X, 'c_0' ) ] )
% 3.38/3.73  , clause( 22685, [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y
% 3.38/3.73    , 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22686, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 
% 3.38/3.73    'tc_nat' ) ) ), =( X, Z ), =( Y, 'c_0' ) ] )
% 3.38/3.73  , clause( 22687, [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0'
% 3.38/3.73    , 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22688, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) )
% 3.38/3.73    , =( X, 'c_1' ) ] )
% 3.38/3.73  , clause( 22689, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) )
% 3.38/3.73    , =( Y, 'c_1' ) ] )
% 3.38/3.73  , clause( 22690, [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22691, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 
% 3.38/3.73    'c_0' ), =( X, 'c_0' ) ] )
% 3.38/3.73  , clause( 22692, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 
% 3.38/3.73    'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22693, [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 
% 3.38/3.73    'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22694, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 3.38/3.73    'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22695, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_times'( Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 
% 3.38/3.73    'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22696, [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 
% 3.38/3.73    'c_times'( Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22697, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 3.38/3.73    'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22698, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, 
% 3.38/3.73    Z, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22699, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, 
% 3.38/3.73    Z, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22700, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 
% 3.38/3.73    'tc_nat' ) ), 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22701, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, 
% 3.38/3.73    Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22702, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, 
% 3.38/3.73    Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22703, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 
% 3.38/3.73    'tc_nat' ) ), 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22704, [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 
% 3.38/3.73    'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22705, [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 
% 3.38/3.73    'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22706, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 3.38/3.73    , Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat'
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22707, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 
% 3.38/3.73    'tc_nat' ) ) ), =( Y, Z ) ] )
% 3.38/3.73  , clause( 22708, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( 
% 3.38/3.73    X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22709, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 3.38/3.73    'c_plus'( Z, X, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22710, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z
% 3.38/3.73    , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22711, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, 
% 3.38/3.73    X, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22712, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 
% 3.38/3.73    'tc_nat' ) ) ), =( X, Z ) ] )
% 3.38/3.73  , clause( 22713, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22714, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22715, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 3.38/3.73  , clause( 22716, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22717, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22718, [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) )
% 3.38/3.73    , =( X, 'c_1' ) ] )
% 3.38/3.73  , clause( 22719, [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) )
% 3.38/3.73    , =( Y, 'c_1' ) ] )
% 3.38/3.73  , clause( 22720, [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22721, [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22722, [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 
% 3.38/3.73    'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22723, [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 
% 3.38/3.73    'c_lessequals'( 'c_1', Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' )
% 3.38/3.73    , 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22724, [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22725, [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 
% 3.38/3.73    'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.38/3.73  , clause( 22726, [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ] )
% 3.38/3.73  , clause( 22727, [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 3.38/3.73    'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 3.38/3.73  , clause( 22728, [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ] )
% 3.38/3.73  , clause( 22729, [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 
% 3.38/3.73    'tc_nat' ) ), 'c_less'( Y, X, 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22730, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 3.38/3.73    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.38/3.73  , clause( 22731, [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_OMin' ) ] )
% 3.38/3.73  , clause( 22732, [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.73    'c_Numeral_Obit_OB0' ), 'c_Numeral_OPls' ) ] )
% 3.38/3.73  , clause( 22733, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 3.38/3.73    , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 3.38/3.73    Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ] )
% 3.38/3.73  , clause( 22734, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 3.38/3.73     ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 3.38/3.73    Y, Z ), X ), T, X ) ) ] )
% 3.38/3.73  , clause( 22735, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB0' ), 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_Obin__add'( X, Y ), Z ) ) ] )
% 3.38/3.73  , clause( 22736, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22737, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) )
% 3.38/3.73    , 'c_Numeral_Obit_OB0' ) ) ] )
% 3.38/3.73  , clause( 22738, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ), 
% 3.38/3.73    'c_Numeral_Obin__pred'( X ) ) ] )
% 3.38/3.73  , clause( 22739, [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ), 
% 3.38/3.73    'c_Numeral_Obin__pred'( X ) ) ] )
% 3.38/3.73  , clause( 22740, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22741, [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22742, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ] )
% 3.38/3.73  , clause( 22743, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_Obin__minus'( Y ), X ) ) ] )
% 3.38/3.73  , clause( 22744, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 
% 3.38/3.73    'c_1', X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ] )
% 3.38/3.73  , clause( 22745, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ] )
% 3.38/3.73  , clause( 22746, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Z ) ), X ) ) ] )
% 3.38/3.73  , clause( 22747, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    Y, X ), X ) ) ] )
% 3.38/3.73  , clause( 22748, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22749, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X )
% 3.38/3.73    , 'c_Numeral_Obit_OB0' ) ) ] )
% 3.38/3.73  , clause( 22750, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 
% 3.38/3.73    'c_Numeral_Obin__minus'( X ) ), 'c_Numeral_Obit_OB1' ) ) ] )
% 3.38/3.73  , clause( 22751, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ] )
% 3.38/3.73  , clause( 22752, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 
% 3.38/3.73    'c_Numeral_OPls' ) ] )
% 3.38/3.73  , clause( 22753, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB0' ), Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 3.38/3.73    , Y ), 'c_Numeral_Obit_OB0' ) ) ] )
% 3.38/3.73  , clause( 22754, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 3.38/3.73    'c_Numeral_Obin__mult'( X, Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ] )
% 3.38/3.73  , clause( 22755, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ), 
% 3.38/3.73    'c_Numeral_Obin__minus'( X ) ) ] )
% 3.38/3.73  , clause( 22756, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 
% 3.38/3.73    'c_Numeral_OPls' ) ] )
% 3.38/3.73  , clause( 22757, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 
% 3.38/3.73    'c_Numeral_Obit_OB1' ) ) ] )
% 3.38/3.73  , clause( 22758, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22759, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ] )
% 3.38/3.73  , clause( 22760, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 
% 3.38/3.73    'c_Numeral_OMin' ) ] )
% 3.38/3.73  , clause( 22761, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 3.38/3.73    X ) ), ~( 'c_IntDef_Oiszero'( 'c_1', X ) ) ] )
% 3.38/3.73  , clause( 22762, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ] )
% 3.38/3.73  , clause( 22763, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ), 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22764, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ] )
% 3.38/3.73  , clause( 22765, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22766, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22767, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 
% 3.38/3.73    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ] )
% 3.38/3.73  , clause( 22768, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 3.38/3.73    , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ] )
% 3.38/3.73  , clause( 22769, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 3.38/3.73    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22770, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22771, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 3.38/3.73    , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22772, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 3.38/3.73    , X ) ] )
% 3.38/3.73  , clause( 22773, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 3.38/3.73    , X ) ) ] )
% 3.38/3.73  , clause( 22774, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ] )
% 3.38/3.73  , clause( 22775, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 3.38/3.73    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22776, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.38/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ] )
% 3.38/3.73  , clause( 22777, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_0', X ) ) ] )
% 3.38/3.73  , clause( 22778, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.38/3.73    'c_IntDef_Oneg'( 'c_1', X ) ) ] )
% 3.38/3.73  , clause( 22779, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22780, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 
% 3.38/3.73    'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 
% 3.38/3.73    'c_Numeral_Obit_OB0' ) ) ] )
% 3.38/3.73  , clause( 22781, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 
% 3.38/3.73    'c_Numeral_OPls' ) ] )
% 3.38/3.73  , clause( 22782, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 
% 3.38/3.73    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ] )
% 3.38/3.73  , clause( 22783, [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 
% 3.38/3.73    'c_Numeral_Obit_OB0', Z ), X ) ] )
% 3.38/3.73  , clause( 22784, [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 
% 3.38/3.73    'c_Numeral_Obit_OB1', Z ), Y ) ] )
% 3.38/3.73  , clause( 22785, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22786, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22787, [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 
% 3.38/3.73    'c_Numeral_Obit_OB0', Z ), X ) ] )
% 3.38/3.73  , clause( 22788, [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 
% 3.38/3.73    'c_Numeral_Obit_OB1', Z ), Y ) ] )
% 3.38/3.73  , clause( 22789, [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 
% 3.38/3.73    'tc_Numeral_Obit' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22790, [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 
% 3.38/3.73    'tc_Numeral_Obit' ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22791, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 3.38/3.73    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ] )
% 3.38/3.73  , clause( 22792, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 3.38/3.73     ) ) ] )
% 3.38/3.73  , clause( 22793, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y
% 3.38/3.73    , 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X )
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22794, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 3.38/3.73    'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 3.38/3.73     ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'( 
% 3.38/3.73    'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ] )
% 3.38/3.73  , clause( 22795, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22796, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 
% 3.38/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.38/3.73    'c_Numeral_Obit_OB1' ), X ), 'c_1' ) ] )
% 3.38/3.73  , clause( 22797, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.38/3.73    'c_plus'( 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22798, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , ~( =( 'c_0', 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ] )
% 3.38/3.73  , clause( 22799, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , =( 'c_0', 'c_HOL_Oabs'( 'c_0', X ) ) ] )
% 3.38/3.73  , clause( 22800, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , =( 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), 
% 3.38/3.73    X ), X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22801, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , ~( =( 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 3.38/3.73  , clause( 22802, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , =( 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22803, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22804, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , =( 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ] )
% 3.38/3.73  , clause( 22805, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22806, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22807, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , =( 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ] )
% 3.38/3.73  , clause( 22808, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , ~( 'c_less'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ] )
% 3.38/3.73  , clause( 22809, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 3.38/3.73  , clause( 22810, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( 
% 3.38/3.73    Y, X ) ) ] )
% 3.38/3.73  , clause( 22811, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 3.38/3.73    'c_plus'( Y, 'c_0', X ), Y ) ] )
% 3.38/3.73  , clause( 22812, [ ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 3.38/3.73    'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 
% 3.38/3.73    'c_lessequals'( Z, T, X ) ] )
% 3.38/3.73  , clause( 22813, [ ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 3.38/3.73    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ), 
% 3.38/3.73    'c_plus'( T, Z, X ), X ) ] )
% 3.38/3.73  , clause( 22814, [ ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 3.38/3.73    'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 
% 3.38/3.73    'c_lessequals'( Y, T, X ) ] )
% 3.38/3.73  , clause( 22815, [ ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 3.38/3.73    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ), 
% 3.38/3.73    'c_plus'( Z, T, X ), X ) ] )
% 3.38/3.73  , clause( 22816, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 3.38/3.73    ~( =( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ] )
% 3.38/3.73  , clause( 22817, [ ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 3.38/3.73    'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'( Z, T
% 3.38/3.73    , X ) ] )
% 3.38/3.73  , clause( 22818, [ ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 3.38/3.73    'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z, X )
% 3.38/3.73    , X ) ] )
% 3.38/3.73  , clause( 22819, [ ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 3.38/3.73    'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'( Y, T
% 3.38/3.73    , X ) ] )
% 3.38/3.73  , clause( 22820, [ ~( 
% 3.38/3.73    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 3.38/3.73    'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T, X )
% 3.38/3.73    , X ) ] )
% 3.38/3.73  , clause( 22821, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 3.38/3.73    ~( =( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ] )
% 3.38/3.73  , clause( 22822, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 3.38/3.73    'c_plus'( 'c_0', Y, X ), Y ) ] )
% 3.38/3.73  , clause( 22823, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.38/3.73    'c_minus'( 'c_0', Y, X ), 'c_uminus'( Y, X ) ) ] )
% 3.38/3.73  , clause( 22824, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.38/3.73    'c_minus'( Y, 'c_0', X ), Y ) ] )
% 3.38/3.73  , clause( 22825, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 3.38/3.73    'c_minus'( Y, Z, X ), 'c_0' ) ), =( Y, Z ) ] )
% 3.38/3.73  , clause( 22826, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( 
% 3.38/3.73    Y, Z, X ) ] )
% 3.38/3.73  , clause( 22827, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 
% 3.38/3.73    'c_0', X ) ] )
% 3.38/3.73  , clause( 22828, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22829, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22830, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.38/3.73    'c_minus'( Y, 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ] )
% 3.38/3.73  , clause( 22831, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.38/3.73    'c_minus'( Y, Y, X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22832, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.38/3.73    'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 
% 3.38/3.73    'c_0', X ) ] )
% 3.38/3.73  , clause( 22833, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.38/3.73    'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 
% 3.38/3.73    'c_0', X ) ] )
% 3.38/3.73  , clause( 22834, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X )
% 3.38/3.73    , 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 3.38/3.73  , clause( 22835, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ), 
% 3.38/3.73    'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ] )
% 3.38/3.73  , clause( 22836, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.38/3.73    =( 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22837, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 3.38/3.73    'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22838, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.38/3.73    =( 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22839, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 3.38/3.73    'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22840, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.38/3.73    'c_uminus'( 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 
% 3.38/3.73    'c_uminus'( Z, X ), X ) ) ] )
% 3.38/3.73  , clause( 22841, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.38/3.73    'c_uminus'( 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ] )
% 3.38/3.73  , clause( 22842, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.38/3.73    'c_uminus'( 'c_uminus'( Y, X ), X ), Y ) ] )
% 3.38/3.73  , clause( 22843, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 3.38/3.73    'c_times'( 'c_1', Y, X ), Y ) ] )
% 3.38/3.73  , clause( 22844, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 3.38/3.73    'c_times'( Y, 'c_1', X ), Y ) ] )
% 3.38/3.73  , clause( 22845, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 3.38/3.73    'c_0', 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 3.38/3.73  , clause( 22846, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0'
% 3.38/3.73    , 'c_uminus'( 'c_0', X ) ) ] )
% 3.38/3.73  , clause( 22847, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y
% 3.38/3.73    , 'c_0', X ) ] )
% 3.38/3.73  , clause( 22848, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( 
% 3.38/3.73    Y, X ), X ) ] )
% 3.38/3.73  , clause( 22849, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22850, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22851, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 3.38/3.73    'c_uminus'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 3.38/3.73  , clause( 22852, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.38/3.73    'c_uminus'( 'c_0', X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22853, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 3.38/3.73    'c_uminus'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ] )
% 3.38/3.73  , clause( 22854, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 3.38/3.73    'c_uminus'( 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 
% 3.38/3.73    'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ) ] )
% 3.38/3.73  , clause( 22855, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 
% 3.38/3.73    'c_0', Y, X ) ] )
% 3.38/3.73  , clause( 22856, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X )
% 3.38/3.73    , 'c_0', X ) ] )
% 3.38/3.73  , clause( 22857, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 3.38/3.73    'c_lessequals'( Z, Y, X ) ] )
% 3.38/3.73  , clause( 22858, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ), 
% 3.38/3.73    'c_uminus'( Y, X ), X ) ] )
% 3.38/3.73  , clause( 22859, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22860, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X )
% 3.38/3.73     ] )
% 3.38/3.73  , clause( 22861, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_less'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z
% 3.38/3.73    , Y, X ) ] )
% 3.38/3.73  , clause( 22862, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.38/3.73    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, 
% 3.38/3.73    X ), X ) ] )
% 3.38/3.73  , clause( 22863, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 3.38/3.73    'c_uminus'( 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 
% 3.38/3.73    'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ) ] )
% 3.38/3.73  , clause( 22864, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 3.38/3.73    'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ] )
% 3.38/3.73  , clause( 22865, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.38/3.73    'c_lessequals'( 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0'
% 3.38/3.73     ) ] )
% 3.38/3.73  , clause( 22866, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.38/3.73    'c_lessequals'( Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ]
% 3.38/3.73     )
% 3.38/3.73  , clause( 22867, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.41/3.73    'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ] )
% 3.41/3.73  , clause( 22868, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.41/3.73    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X
% 3.41/3.73     ), 'c_OrderedGroup_Onprt'( Z, X ), X ) ] )
% 3.41/3.73  , clause( 22869, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 3.41/3.73    'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ] )
% 3.41/3.73  , clause( 22870, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.41/3.73    'c_lessequals'( Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0'
% 3.41/3.73     ) ] )
% 3.41/3.73  , clause( 22871, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.41/3.73    'c_lessequals'( 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ]
% 3.41/3.73     )
% 3.41/3.73  , clause( 22872, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.41/3.73    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X
% 3.41/3.73     ), 'c_OrderedGroup_Opprt'( Z, X ), X ) ] )
% 3.41/3.73  , clause( 22873, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.41/3.73    'c_plus'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ] )
% 3.41/3.73  , clause( 22874, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.41/3.73    'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0'
% 3.41/3.73    , Y, X ) ] )
% 3.41/3.73  , clause( 22875, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 3.41/3.73    'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X
% 3.41/3.73     ), X ) ] )
% 3.41/3.73  , clause( 22876, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 3.41/3.73    'c_lessequals'( 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ] )
% 3.41/3.73  , clause( 22877, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.41/3.73    , ~( 'c_less'( 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ] )
% 3.41/3.73  , clause( 22878, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.41/3.73    , 'c_less'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ] )
% 3.41/3.73  , clause( 22879, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 
% 3.41/3.73    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ] )
% 3.41/3.73  , clause( 22880, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 
% 3.41/3.73    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ] )
% 3.41/3.73  , clause( 22881, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z
% 3.41/3.73    , X ) ), ~( 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X
% 3.41/3.73     ), Z, X ) ] )
% 3.41/3.73  , clause( 22882, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 3.41/3.73    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 3.41/3.73  , clause( 22883, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 3.41/3.73    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ] )
% 3.41/3.73  , clause( 22884, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z
% 3.41/3.73    , X ) ), ~( 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z
% 3.41/3.73    , X ), X ) ] )
% 3.41/3.73  , clause( 22885, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    Y, 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 3.41/3.73  , clause( 22886, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    Y, 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ] )
% 3.41/3.73  , clause( 22887, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    Y, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 
% 3.41/3.73    'c_Orderings_Omin'( T, Z, X ), X ) ] )
% 3.41/3.73  , clause( 22888, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 3.41/3.73    'c_Orderings_Omin'( Y, Y, X ), Y ) ] )
% 3.41/3.73  , clause( 22889, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 3.41/3.73    'c_Orderings_Omin'( Y, 'c_Orderings_Omin'( Y, Z, X ), X ), 
% 3.41/3.73    'c_Orderings_Omin'( Y, Z, X ) ) ] )
% 3.41/3.73  , clause( 22890, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ] )
% 3.41/3.73  , clause( 22891, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ] )
% 3.41/3.73  , clause( 22892, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    Y, Z, X ) ), ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 
% 3.41/3.73    'c_Orderings_Omax'( T, Y, X ), Z, X ) ] )
% 3.41/3.73  , clause( 22893, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 3.41/3.73    'c_Orderings_Omax'( Y, Y, X ), Y ) ] )
% 3.41/3.73  , clause( 22894, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 3.41/3.73    'c_Orderings_Omax'( Y, 'c_Orderings_Omax'( Y, Z, X ), X ), 
% 3.41/3.73    'c_Orderings_Omax'( Y, Z, X ) ) ] )
% 3.41/3.73  , clause( 22895, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 3.41/3.73     ) ) ] )
% 3.41/3.73  , clause( 22896, [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 
% 3.41/3.73    'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22897, [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 
% 3.41/3.73    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22898, [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 
% 3.41/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 3.41/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.41/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 3.41/3.73    'tc_IntDef_Oint' ), 'c_0' ) ] )
% 3.41/3.73  , clause( 22899, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 3.41/3.73    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 3.41/3.73    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 3.41/3.73    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 3.41/3.73    , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 3.41/3.73    'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22900, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 3.41/3.73     ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22901, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 3.41/3.73     ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22902, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y
% 3.41/3.73    , X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22903, [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 
% 3.41/3.73    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, 
% 3.41/3.73    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22904, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 3.41/3.73  , clause( 22905, [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 
% 3.41/3.73    'c_Suc'( X ), 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22906, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ) ), 'c_Parity_Oeven'( X, 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22907, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22908, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 3.41/3.73    , Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ) ] )
% 3.41/3.73  , clause( 22909, [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 
% 3.41/3.73    'tc_nat' ) ] )
% 3.41/3.73  , clause( 22910, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 
% 3.41/3.73    'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22911, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 
% 3.41/3.73    'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22912, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ), 
% 3.41/3.73    'c_Parity_Oeven'( Y, 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22913, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 3.41/3.73    'c_Parity_Oeven'( Y, 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22914, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 
% 3.41/3.73    'tc_nat' ), 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22915, [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 
% 3.41/3.73    'tc_nat' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22916, [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22917, [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 
% 3.41/3.73    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22918, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 
% 3.41/3.73    'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 3.41/3.73     )
% 3.41/3.73  , clause( 22919, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 
% 3.41/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 
% 3.41/3.73    'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22920, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 
% 3.41/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' )
% 3.41/3.73     ] )
% 3.41/3.73  , clause( 22921, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 3.41/3.73    'c_less'( 'c_0', Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y
% 3.41/3.73    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22922, [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' )
% 3.41/3.73    , 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ), 
% 3.41/3.73    'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22923, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 
% 3.41/3.73    'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 3.41/3.73     ] )
% 3.41/3.73  , clause( 22924, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 
% 3.41/3.73    'c_Parity_Oeven'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 3.41/3.73     ] )
% 3.41/3.73  , clause( 22925, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 3.41/3.73     ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22926, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 3.41/3.73     ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22927, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 3.41/3.73    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y
% 3.41/3.73    , X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22928, [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 
% 3.41/3.73    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X
% 3.41/3.73    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22929, [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ] )
% 3.41/3.73  , clause( 22930, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 3.41/3.73    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 3.41/3.73     ] )
% 3.41/3.73  , clause( 22931, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 3.41/3.73    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'( 
% 3.41/3.73    'c_1', X ) ) ] )
% 3.41/3.73  , clause( 22932, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.41/3.73    'class_Power_Orecpower'( X ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 
% 3.41/3.73    'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 
% 3.41/3.73    'c_1' ) ] )
% 3.41/3.73  , clause( 22933, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 3.41/3.73    'class_Power_Orecpower'( X ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 
% 3.41/3.73    'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 
% 3.41/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ] )
% 3.41/3.73  , clause( 22934, [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 3.41/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.41/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 3.41/3.73    'tc_IntDef_Oint' ), 'c_0' ), =( 'c_Divides_Oop_Amod'( X, 
% 3.41/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.41/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.41/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ] )
% 3.41/3.73  , clause( 22935, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 3.41/3.73    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 3.41/3.73    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 3.41/3.73    'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X, 
% 3.41/3.73    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 3.41/3.73    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 3.41/3.73    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ] )
% 3.41/3.73  , clause( 22936, [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 3.41/3.73  , clause( 22937, [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 
% 3.41/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_1' ) ] )
% 3.41/3.73  , clause( 22938, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 3.41/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 3.41/3.73  , clause( 22939, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 3.41/3.73    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 3.41/3.73     )
% 3.41/3.73  , clause( 22940, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 3.41/3.73    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0', 
% 3.41/3.73    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22941, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 3.41/3.73    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ] )
% 3.41/3.73  , clause( 22942, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 3.41/3.73    'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 3.41/3.73    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ] )
% 3.41/3.73  , clause( 22943, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 3.41/3.73     ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ] )
% 3.41/3.73  , clause( 22944, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 3.41/3.73     ) ), =( Z, 'c_0' ) ] )
% 3.41/3.73  , clause( 22945, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 3.41/3.73     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 3.41/3.73     ), 'c_lessequals'( Y, 'c_0', X ) ] )
% 3.41/3.73  , clause( 22946, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 3.41/3.73     ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ] )
% 3.41/3.73  , clause( 22947, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y, 
% 3.41/3.73    'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 3.41/3.73    , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 3.41/3.73    , 'c_0' ) ] )
% 3.41/3.73  , clause( 22948, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 3.41/3.73    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 3.41/3.73    , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 3.41/3.73  , clause( 22949, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 
% 3.41/3.73    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 3.41/3.73     ) ) ] )
% 3.41/3.73  , clause( 22950, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 3.41/3.73    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 3.41/3.73     ) ), 'c_less'( Y, 'c_0', X ) ] )
% 3.41/3.73  , clause( 22951, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 3.41/3.73     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 3.41/3.73     ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 3.41/3.73    X ), 'c_0', X ) ] )
% 3.41/3.73  , clause( 22952, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 3.41/3.73    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 
% 3.41/3.73    'c_Nat_Opower'( Z, Y, X ) ) ] )
% 3.41/3.73  , clause( 22953, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 3.41/3.73    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'( 
% 3.41/3.73    'c_Nat_Opower'( Z, Y, X ), X ) ) ] )
% 3.41/3.73  , clause( 22954, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.41/3.73    , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 3.41/3.73    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 3.41/3.73    'c_lessequals'( 'c_0', Y, X ) ] )
% 3.41/3.73  , clause( 22955, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 3.41/3.73    'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 3.41/3.73     ) ] )
% 3.41/3.73  , clause( 22956, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 3.41/3.73    , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y, 
% 3.41/3.73    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ] )
% 3.41/3.73  , clause( 22957, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 3.41/3.73    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 3.41/3.73    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 3.41/3.73    'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 3.41/3.73     ) ] )
% 3.41/3.73  , clause( 22958, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 3.41/3.73    , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 3.41/3.73     ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 3.41/3.73  , clause( 22959, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 3.41/3.73    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 3.41/3.73    , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 3.41/3.73    , 'c_0' ) ] )
% 3.41/3.73  , clause( 22960, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0', 
% 3.41/3.73    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ] )
% 3.41/3.73  , clause( 22961, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', 
% 3.41/3.73    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 3.41/3.73    , 'c_0' ) ] )
% 3.41/3.73  , clause( 22962, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 3.41/3.73     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 3.41/3.73     ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 
% 3.41/3.73    'tc_nat' ), X ), X ) ] )
% 3.41/3.73  , clause( 22963, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 
% 3.41/3.73    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 
% 3.41/3.73    'c_less'( 'c_0', X, 'tc_nat' ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 3.41/3.73    , 'c_0' ) ] )
% 3.41/3.73  , clause( 22964, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) )
% 3.41/3.73    , 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 
% 3.41/3.73    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22965, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 3.41/3.73    'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ) ] )
% 3.41/3.73  , clause( 22966, [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 
% 3.41/3.73    'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ) ] )
% 3.41/3.73  , clause( 22967, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' )
% 3.41/3.73    , 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 3.41/3.73  , clause( 22968, [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ), =( X, 'c_0' ) ] )
% 3.41/3.73  , clause( 22969, [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 
% 3.41/3.73    'tc_nat' ) ] )
% 3.41/3.73  , clause( 22970, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ] )
% 3.41/3.73  , clause( 22971, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 3.41/3.73    'c_times'( X, 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.41/3.73  , clause( 22972, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 3.41/3.73    'c_0', 'c_Suc'( Y ), X ), 'c_0' ) ] )
% 3.41/3.73  , clause( 22973, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 3.41/3.73    Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 3.41/3.73  , clause( 22974, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 3.41/3.73    Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22975, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, 
% 3.41/3.73    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ] )
% 3.41/3.73  , clause( 22976, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 3.41/3.73    , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22977, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'( 
% 3.41/3.73    'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ] )
% 3.41/3.73  , clause( 22978, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 3.41/3.73    , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ), 
% 3.41/3.73    =( Z, T ) ] )
% 3.41/3.73  , clause( 22979, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 3.41/3.73    'c_1', Y, X ), 'c_1' ) ] )
% 3.41/3.73  , clause( 22980, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y
% 3.41/3.73    , 'c_1', X ), Y ) ] )
% 3.41/3.73  , clause( 22981, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 3.41/3.73    , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 3.41/3.73     ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ] )
% 3.41/3.73  , clause( 22982, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z, 
% 3.41/3.73    'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T, 
% 3.41/3.73    Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ] )
% 3.41/3.73  , clause( 22983, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y
% 3.41/3.73    , 'c_0', X ), 'c_1' ) ] )
% 3.41/3.73  , clause( 22984, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0', 
% 3.41/3.73    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ] )
% 3.41/3.73  , clause( 22985, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 3.41/3.73    'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 3.41/3.73     )
% 3.41/3.73  , clause( 22986, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 3.41/3.73    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ] )
% 3.41/3.73  , clause( 22987, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 3.41/3.73    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 3.41/3.73    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ] )
% 3.41/3.73  , clause( 22988, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 3.41/3.73    , =( X, U ) ] )
% 3.41/3.73  , clause( 22989, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 3.41/3.73    , =( Y, W ) ] )
% 3.41/3.73  , clause( 22990, [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ] )
% 3.41/3.73  , clause( 22991, [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, 
% 3.41/3.73    Z ), X ) ] )
% 3.41/3.73  , clause( 22992, [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ] )
% 3.41/3.73  , clause( 22993, [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ), 
% 3.41/3.73    'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ] )
% 3.41/3.73  , clause( 22994, [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 
% 3.41/3.73    'c_UNIV' ) ] )
% 3.41/3.73  , clause( 22995, [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, 
% 3.41/3.73    Y ), X ) ] )
% 3.41/3.73  , clause( 22996, [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 
% 3.41/3.73    'c_emptyset' ) ] )
% 3.41/3.73  , clause( 22997, [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z
% 3.41/3.73     ), X ) ] )
% 3.41/3.73  , clause( 22998, [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X )
% 3.41/3.73     ] )
% 3.41/3.73  , clause( 22999, [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y
% 3.41/3.73    , Y ), 'c_inter'( X, Z, Y ) ) ] )
% 3.41/3.73  , clause( 23000, [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 
% 3.41/3.73    'c_emptyset' ) ] )
% 3.41/3.73  , clause( 23001, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 
% 3.41/3.73    'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 
% 3.41/3.73    'tc_prod'( T, U ) ) ] )
% 3.41/3.73  , clause( 23002, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.41/3.73     ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 3.41/3.73    , Z, T ), T ) ] )
% 3.41/3.73  , clause( 23003, [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y
% 3.41/3.73     ), X ) ] )
% 3.41/3.73  , clause( 23004, [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 
% 3.41/3.73    'c_UNIV' ) ] )
% 3.41/3.73  , clause( 23005, [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y
% 3.41/3.73     ), X ) ] )
% 3.41/3.73  , clause( 23006, [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 
% 3.41/3.73    'c_emptyset' ) ] )
% 3.41/3.73  , clause( 23007, [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 
% 3.41/3.73    'c_Relation_OId' ) ] )
% 3.41/3.73  , clause( 23008, [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y
% 3.41/3.73    , Z ), Z, Y ), X ) ] )
% 3.41/3.73  , clause( 23009, [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y
% 3.41/3.73    , Y ), 'c_Relation_Odiag'( X, Y ) ) ] )
% 3.41/3.73  , clause( 23010, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 
% 3.41/3.73    'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 3.41/3.73    'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 3.41/3.73  , clause( 23011, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.41/3.73     ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 
% 3.41/3.73    'tc_prod'( T, Z ) ) ] )
% 3.41/3.73  , clause( 23012, [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' )
% 3.41/3.73     ] )
% 3.41/3.73  , clause( 23013, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 
% 3.41/3.73    'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 3.41/3.73  , clause( 23014, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 
% 3.41/3.73    'tc_prod'( Y, Y ) ) ] )
% 3.41/3.73  , clause( 23015, [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y )
% 3.41/3.73     ) ), X ) ] )
% 3.41/3.73  , clause( 23016, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y )
% 3.41/3.73     ) ), 'c_Relation_OId' ) ] )
% 3.41/3.73  , clause( 23017, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( 
% 3.41/3.73    Z, Z ) ) ), 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 
% 3.41/3.73    'tc_prod'( Z, Z ) ) ), Z, Z, Z ) ) ] )
% 3.41/3.73  , clause( 23018, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 3.41/3.73    'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ), 
% 3.41/3.73    'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 3.41/3.73  , clause( 23019, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 3.41/3.73    'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 3.41/3.73     ) ) ] )
% 3.41/3.73  , clause( 23020, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 3.41/3.73    'c_HOL_Oabs'( 'c_1', X ), 'c_1' ) ] )
% 3.41/3.73  , clause( 23021, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 3.41/3.73    ~( =( 'c_0', 'c_1' ) ) ] )
% 3.41/3.73  , clause( 23022, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 
% 3.41/3.73    Y, 'c_1', X ), Y ) ] )
% 3.41/3.73  , clause( 23023, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 3.41/3.73    'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ] )
% 3.41/3.73  , clause( 23024, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 3.41/3.73    'c_divide'( 'c_0', Z, X ) ) ] )
% 3.41/3.73  , clause( 23025, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 3.41/3.73    'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ] )
% 3.41/3.73  , clause( 23026, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 3.41/3.73    'c_divide'( Z, 'c_0', X ) ) ] )
% 3.41/3.73  , clause( 23027, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, 
% 3.41/3.73    Z, X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ] )
% 3.41/3.73  , clause( 23028, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( 
% 3.41/3.73    Z, T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ] )
% 3.41/3.73  , clause( 23029, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 3.41/3.73    'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ] )
% 3.41/3.73  , clause( 23030, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 3.41/3.73    'c_0' ) ] )
% 3.41/3.73  , clause( 23031, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 3.41/3.73    'c_0' ) ] )
% 3.41/3.73  , clause( 23032, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 3.41/3.73    'c_1' ) ), =( Y, Z ) ] )
% 3.41/3.73  , clause( 23033, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, 
% 3.41/3.73    'c_0', X ), 'c_1' ) ) ] )
% 3.41/3.73  , clause( 23034, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, 
% 3.41/3.73    Z, X ), 'c_1' ) ), =( Z, Y ) ] )
% 3.41/3.73  , clause( 23035, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 
% 3.41/3.73    'c_divide'( Y, Y, X ), 'c_1' ) ] )
% 3.41/3.73  , clause( 23036, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 3.41/3.73     )
% 3.41/3.73  , clause( 23037, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y
% 3.41/3.73    , 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 3.41/3.73     )
% 3.41/3.73  , clause( 23038, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 3.41/3.73    'c_lessequals'( Y, Z, X ) ] )
% 3.41/3.73  , clause( 23039, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y
% 3.41/3.73    , X ), 'c_1', X ) ] )
% 3.41/3.73  , clause( 23040, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 3.41/3.73    'c_lessequals'( Z, Y, X ) ] )
% 3.41/3.73  , clause( 23041, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y
% 3.41/3.73    , X ), 'c_1', X ) ] )
% 3.41/3.73  , clause( 23042, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.41/3.73    'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 3.41/3.73  , clause( 23043, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 3.41/3.73    , X ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ] )
% 3.41/3.73  , clause( 23044, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 3.41/3.73    , X ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z
% 3.41/3.73    , X ) ] )
% 3.41/3.73  , clause( 23045, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 3.41/3.73     ) ), ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 
% 3.41/3.73    'c_1', X ) ] )
% 3.41/3.73  , clause( 23046, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 3.41/3.73    , X ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y
% 3.41/3.73    , X ) ] )
% 3.41/3.73  , clause( 23047, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 3.41/3.73     ) ), ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 
% 3.41/3.73    'c_1', X ) ] )
% 3.41/3.73  , clause( 23048, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 
% 3.41/3.73    'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ] )
% 3.41/3.73  , clause( 23049, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( 
% 3.41/3.73    Z, X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ] )
% 3.41/3.73  , clause( 23050, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X
% 3.41/3.73     ), 'c_0' ) ] )
% 3.41/3.73  , clause( 23051, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 
% 3.41/3.73    'c_divide'( Y, 'c_0', X ) ) ) ] )
% 3.41/3.73  , clause( 23052, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 
% 3.41/3.73    'c_divide'( Y, Z, X ) ) ), =( Z, Y ) ] )
% 3.41/3.73  , clause( 23053, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 
% 3.41/3.73    'c_1', 'c_divide'( Y, Y, X ) ) ] )
% 3.41/3.73  , clause( 23054, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' )
% 3.41/3.73    , =( 'c_times'( 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ] )
% 3.41/3.73  , clause( 23055, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 3.41/3.73    'c_times'( Y, Z, X ), 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' )
% 3.41/3.73     ] )
% 3.41/3.73  , clause( 23056, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 
% 3.41/3.73    'c_0', Y, X ), 'c_times'( 'c_0', Z, X ) ) ] )
% 3.41/3.73  , clause( 23057, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 3.41/3.73    'c_times'( Y, Z, X ), 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' )
% 3.41/3.73     ] )
% 3.41/3.73  , clause( 23058, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 
% 3.41/3.73    Y, 'c_0', X ), 'c_times'( Z, 'c_0', X ) ) ] )
% 3.41/3.73  , clause( 23059, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 3.41/3.73    'c_divide'( Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ] )
% 3.41/3.73  , clause( 23060, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 3.41/3.73    , 'c_1' ) ), =( Y, 'c_1' ) ] )
% 3.41/3.73  , clause( 23061, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X
% 3.41/3.73     ), 'c_1' ) ] )
% 3.41/3.73  , clause( 23062, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 3.41/3.73    , 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 3.41/3.73  , clause( 23063, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 3.41/3.73    'c_HOL_Oinverse'( Y, X ), X ), Y ) ] )
% 3.41/3.73  , clause( 23064, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.41/3.73    'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 
% 3.41/3.73    'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) )
% 3.41/3.73    , 'c_lessequals'( Y, Z, X ) ] )
% 3.41/3.73  , clause( 23065, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.41/3.73    'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 
% 3.41/3.73    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 
% 3.41/3.73    'c_HOL_Oinverse'( Y, X ), X ) ] )
% 3.41/3.73  , clause( 23066, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.41/3.73    'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 
% 3.41/3.73    'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) )
% 3.41/3.73    , 'c_lessequals'( Y, Z, X ) ] )
% 3.41/3.73  , clause( 23067, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.41/3.73    'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 
% 3.41/3.73    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 
% 3.41/3.73    'c_HOL_Oinverse'( Y, X ), X ) ] )
% 3.41/3.73  , clause( 23068, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.41/3.73    'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 
% 3.41/3.73    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z
% 3.41/3.73    , X ) ] )
% 3.41/3.73  , clause( 23069, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.41/3.73    'c_less'( Y, Z, X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', 
% 3.41/3.73    Z, X ) ), 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 3.41/3.73     ) ] )
% 3.41/3.73  , clause( 23070, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.41/3.73    'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 
% 3.41/3.73    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z
% 3.41/3.73    , X ) ] )
% 3.41/3.73  , clause( 23071, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.41/3.73    'c_less'( Y, Z, X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 
% 3.41/3.73    'c_0', X ) ), 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X
% 3.41/3.73     ), X ) ] )
% 3.41/3.73  , clause( 23072, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 3.41/3.73    'c_uminus'( Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ] )
% 3.41/3.73  , clause( 23073, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( 
% 3.41/3.73    Y, Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z
% 3.41/3.73    , X ), X ) ) ] )
% 3.41/3.73  , clause( 23074, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 3.41/3.73    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 3.41/3.73  , clause( 23075, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 3.41/3.73    , X ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ] )
% 3.41/3.73  , clause( 23076, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ]
% 3.41/3.73     )
% 3.41/3.73  , clause( 23077, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ]
% 3.41/3.73     )
% 3.41/3.73  , clause( 23078, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.73    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 3.41/3.73     )
% 3.41/3.73  , clause( 23079, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y
% 3.41/3.73    , 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ] )
% 3.41/3.73  , clause( 23080, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 3.41/3.73    , 'c_0' ) ), =( Y, 'c_0' ) ] )
% 3.41/3.73  , clause( 23081, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X
% 3.41/3.73     ), 'c_0' ) ] )
% 3.41/3.73  , clause( 23082, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.41/3.73    'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ] )
% 3.41/3.73  , clause( 23083, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 3.41/3.73    , X ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ] )
% 3.41/3.73  , clause( 23084, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 3.41/3.73    'c_lessequals'( Z, Y, X ) ] )
% 3.41/3.73  , clause( 23085, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 
% 3.41/3.73    'c_divide'( Z, Y, X ), X ) ] )
% 3.41/3.73  , clause( 23086, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 3.41/3.73    'c_lessequals'( Y, Z, X ) ] )
% 3.41/3.73  , clause( 23087, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 3.41/3.73    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 
% 3.41/3.73    'c_divide'( Z, Y, X ), X ) ] )
% 3.41/3.73  , clause( 23088, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 3.41/3.73    , X ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y
% 3.41/3.73    , X ) ] )
% 3.41/3.73  , clause( 23089, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 3.41/3.73     ) ), ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X
% 3.41/3.73     ), X ) ] )
% 3.41/3.73  , clause( 23090, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 3.41/3.73    , X ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z
% 3.41/3.73    , X ) ] )
% 3.41/3.73  , clause( 23091, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 3.41/3.73     ) ), ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X
% 3.41/3.73     ), X ) ] )
% 3.41/3.73  , clause( 23092, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, 
% 3.41/3.73    X ), 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ] )
% 3.41/3.73  , clause( 23093, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 
% 3.41/3.73    'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ] )
% 3.41/3.73  , clause( 23094, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.41/3.73    =( Y, 'c_times'( Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 3.41/3.73  , clause( 23095, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 3.41/3.73    'c_0', 'c_times'( 'c_0', Y, X ) ) ] )
% 3.41/3.73  , clause( 23096, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 3.41/3.73    , 'c_times'( Y, 'c_1', X ) ) ] )
% 3.41/3.73  , clause( 23097, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.41/3.73    =( 'c_times'( Y, Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 3.41/3.73  , clause( 23098, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.41/3.73    =( Y, 'c_times'( Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 3.41/3.73  , clause( 23099, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 3.41/3.73    'c_0', 'c_times'( Y, 'c_0', X ) ) ] )
% 3.41/3.73  , clause( 23100, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 3.41/3.73    , 'c_times'( 'c_1', Y, X ) ) ] )
% 3.41/3.73  , clause( 23101, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 3.41/3.73    =( 'c_times'( Y, Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ] )
% 3.41/3.73  , clause( 23102, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 
% 3.41/3.73    'c_times'( 'c_0', Y, X ), X ), 'c_0' ) ] )
% 3.41/3.73  , clause( 23103, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 3.41/3.73    Y, 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ] )
% 3.41/3.73  , clause( 23104, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 
% 3.41/3.73    'c_0', Y, X ), 'c_0', X ), 'c_0' ) ] )
% 3.41/3.73  , clause( 23105, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 3.41/3.73    'c_times'( Y, Z, X ), Y, X ), Z ) ] )
% 3.41/3.73  , clause( 23106, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 
% 3.41/3.73    'c_0', Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ] )
% 3.41/3.73  , clause( 23107, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 3.41/3.73    'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 3.41/3.73     ] )
% 3.41/3.73  , clause( 23108, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.73    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 
% 3.41/3.73    'c_times'( Y, 'c_0', X ), X ), 'c_0' ) ] )
% 3.41/3.73  , clause( 23109, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 3.41/3.74    Y, 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ] )
% 3.41/3.74  , clause( 23110, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 3.41/3.74    'c_0', X ), 'c_0', X ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23111, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 3.41/3.74    'c_times'( Z, Y, X ), Y, X ), Z ) ] )
% 3.41/3.74  , clause( 23112, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 3.41/3.74    'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23113, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 3.41/3.74    'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 3.41/3.74     ] )
% 3.41/3.74  , clause( 23114, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.41/3.74     ), ~( =( 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23115, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 
% 3.41/3.74    'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ] )
% 3.41/3.74  , clause( 23116, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 
% 3.41/3.74    Y, 'c_uminus'( Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ] )
% 3.41/3.74  , clause( 23117, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.41/3.74    , =( 'c_times'( 'c_0', Y, X ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23118, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.41/3.74    , =( 'c_times'( Y, 'c_0', X ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23119, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.41/3.74    ~( 'c_lessequals'( 'c_1', 'c_0', X ) ) ] )
% 3.41/3.74  , clause( 23120, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.41/3.74    ~( 'c_less'( 'c_1', 'c_0', X ) ) ] )
% 3.41/3.74  , clause( 23121, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 
% 3.41/3.74    'c_1', Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 3.41/3.74  , clause( 23122, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1'
% 3.41/3.74    , 'c_0', X ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23123, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z
% 3.41/3.74    , X ) ) ), =( Y, Z ) ] )
% 3.41/3.74  , clause( 23124, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 3.41/3.74    ~( =( 'c_1', 'c_0' ) ) ] )
% 3.41/3.74  , clause( 23125, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.41/3.74    'c_less'( 'c_0', 'c_1', X ) ] )
% 3.41/3.74  , clause( 23126, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' )
% 3.41/3.74    , =( 'c_times'( Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ] )
% 3.41/3.74  , clause( 23127, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 
% 3.41/3.74    Y, 'c_divide'( Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) )
% 3.41/3.74     ] )
% 3.41/3.74  , clause( 23128, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 
% 3.41/3.74    'c_divide'( Y, Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) )
% 3.41/3.74     ] )
% 3.41/3.74  , clause( 23129, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y, 
% 3.41/3.74    'c_0', X ), 'c_0', X ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23130, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 3.41/3.74    'c_divide'( Z, Y, X ), Y, X ), Z ) ] )
% 3.41/3.74  , clause( 23131, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 
% 3.41/3.74    'c_divide'( Y, 'c_0', X ), X ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23132, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y
% 3.41/3.74    , 'c_divide'( Z, Y, X ), X ), Z ) ] )
% 3.41/3.74  , clause( 23133, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 
% 3.41/3.74    'c_divide'( 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ] )
% 3.41/3.74  , clause( 23134, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'( 
% 3.41/3.74    'c_1', 'c_0', X ) ) ] )
% 3.41/3.74  , clause( 23135, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    'c_0', 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23136, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23137, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.41/3.74    'c_lessequals'( 'c_0', 'c_1', X ) ] )
% 3.41/3.74  , clause( 23138, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 3.41/3.74    'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ] )
% 3.41/3.74  , clause( 23139, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.41/3.74    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 3.41/3.74    , X ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ] )
% 3.41/3.74  , clause( 23140, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 3.41/3.74    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ), 
% 3.41/3.74    'c_SetInterval_OlessThan'( Y, X ) ) ] )
% 3.41/3.74  , clause( 23141, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 3.41/3.74    'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ), 
% 3.41/3.74    'c_SetInterval_OgreaterThan'( Y, X ) ) ] )
% 3.41/3.74  , clause( 23142, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 3.41/3.74    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ), 
% 3.41/3.74    'c_SetInterval_OatMost'( Y, X ) ) ] )
% 3.41/3.74  , clause( 23143, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 3.41/3.74    'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ), 
% 3.41/3.74    'c_SetInterval_OatLeast'( Y, X ) ) ] )
% 3.41/3.74  , clause( 23144, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X
% 3.41/3.74     ) ), =( 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23145, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23146, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23147, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 3.41/3.74    Z, X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OatLeastAtMost'( T, Z, X ), X ) ] )
% 3.41/3.74  , clause( 23148, [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 3.41/3.74    'c_SetInterval_OatLeastAtMost'( Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23149, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 3.41/3.74    , Z, X ) ), =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset'
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23150, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 3.41/3.74    , X ) ] )
% 3.41/3.74  , clause( 23151, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23152, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 3.41/3.74     ), ~( 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( T, Z, X ), X ) ] )
% 3.41/3.74  , clause( 23153, [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 
% 3.41/3.74    'tc_nat' ), 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23154, [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV'
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23155, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 3.41/3.74    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), 
% 3.41/3.74    =( Y, Z ) ] )
% 3.41/3.74  , clause( 23156, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 3.41/3.74  , clause( 23157, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 3.41/3.74    Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 3.41/3.74  , clause( 23158, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 3.41/3.74    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 3.41/3.74  , clause( 23159, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 3.41/3.74    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 3.41/3.74    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 3.41/3.74  , clause( 23160, [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 
% 3.41/3.74    'c_insert'( 'c_0', 'c_emptyset', 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23161, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 3.41/3.74    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( 
% 3.41/3.74    Y, Z ) ] )
% 3.41/3.74  , clause( 23162, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 3.41/3.74  , clause( 23163, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 3.41/3.74    Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 3.41/3.74  , clause( 23164, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 3.41/3.74    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 3.41/3.74  , clause( 23165, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 3.41/3.74    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 
% 3.41/3.74    'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 3.41/3.74  , clause( 23166, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( 
% 3.41/3.74    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23167, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( 
% 3.41/3.74    X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'( 
% 3.41/3.74    'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ] )
% 3.41/3.74  , clause( 23168, [ =( 'c_Finite__Set_Ocard'( 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 
% 3.41/3.74    Y, X, 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23169, [ =( 'c_Finite__Set_Ocard'( 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 3.41/3.74    'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23170, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 
% 3.41/3.74    'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ] )
% 3.41/3.74  , clause( 23171, [ =( 'c_Finite__Set_Ocard'( 
% 3.41/3.74    'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 'tc_nat' ), 
% 3.41/3.74    'c_minus'( Y, X, 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23172, [ =( 'c_Finite__Set_Ocard'( 
% 3.41/3.74    'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 3.41/3.74    'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23173, [ =( 'c_Finite__Set_Ocard'( 
% 3.41/3.74    'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 'tc_nat' ), 
% 3.41/3.74    'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23174, [ =( 'c_Finite__Set_Ocard'( 
% 3.41/3.74    'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 3.41/3.74    'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, 'c_plus'( X, 'c_1', 
% 3.41/3.74    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ] )
% 3.41/3.74  , clause( 23175, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 
% 3.41/3.74    'tc_nat' ), 'tc_nat' ), X ) ] )
% 3.41/3.74  , clause( 23176, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 3.41/3.74    , Z, X ) ), =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23177, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 3.41/3.74     ] )
% 3.41/3.74  , clause( 23178, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, 
% 3.41/3.74    T, X ) ] )
% 3.41/3.74  , clause( 23179, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 3.41/3.74     ), ~( 'c_lessequals'( Z, T, X ) ), 'c_in'( Z, 
% 3.41/3.74    'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ] )
% 3.41/3.74  , clause( 23180, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23181, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23182, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 3.41/3.74     ), ~( 'c_less'( T, Y, X ) ), 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OgreaterThanLessThan'( T, Z, X ), X ) ] )
% 3.41/3.74  , clause( 23183, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 3.41/3.74    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 3.41/3.74     ) ) ), =( Y, Z ) ] )
% 3.41/3.74  , clause( 23184, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 3.41/3.74  , clause( 23185, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 3.41/3.74     ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 3.41/3.74  , clause( 23186, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 3.41/3.74     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 3.41/3.74  , clause( 23187, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 3.41/3.74    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 3.41/3.74  , clause( 23188, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    Y, Z, X ) ), =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ), 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ), 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ] )
% 3.41/3.74  , clause( 23189, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 3.41/3.74    'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ] )
% 3.41/3.74  , clause( 23190, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 3.41/3.74    'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ] )
% 3.41/3.74  , clause( 23191, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X )
% 3.41/3.74    , 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ] )
% 3.41/3.74  , clause( 23192, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    Y, Z, X ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( U, Y, X ), 
% 3.41/3.74    'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ] )
% 3.41/3.74  , clause( 23193, [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23194, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 3.41/3.74    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 3.41/3.74    , =( Y, Z ) ] )
% 3.41/3.74  , clause( 23195, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 3.41/3.74  , clause( 23196, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 3.41/3.74     ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 3.41/3.74  , clause( 23197, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 3.41/3.74    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 3.41/3.74  , clause( 23198, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 3.41/3.74    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 3.41/3.74    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 3.41/3.74  , clause( 23199, [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 
% 3.41/3.74    'c_insert'( Y, 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 
% 3.41/3.74    'tc_set'( X ) ), 'c_insert'( Y, 'c_emptyset', X ) ) ] )
% 3.41/3.74  , clause( 23200, [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 
% 3.41/3.74    'tc_set'( Z ) ), 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ] )
% 3.41/3.74  , clause( 23201, [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 
% 3.41/3.74    'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) )
% 3.41/3.74    , Z ) ) ] )
% 3.41/3.74  , clause( 23202, [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' )
% 3.41/3.74     ] )
% 3.41/3.74  , clause( 23203, [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 
% 3.41/3.74    'c_inter'( 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) )
% 3.41/3.74    , Z ) ) ] )
% 3.41/3.74  , clause( 23204, [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23205, [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23206, [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' )
% 3.41/3.74     ] )
% 3.41/3.74  , clause( 23207, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 3.41/3.74    'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 3.41/3.74  , clause( 23208, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 
% 3.41/3.74    'tc_set'( Z ) ), Z ) ) ] )
% 3.41/3.74  , clause( 23209, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 3.41/3.74     ) ), Z ) ] )
% 3.41/3.74  , clause( 23210, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 
% 3.41/3.74    'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 
% 3.41/3.74    'tc_set'( Y ) ) ] )
% 3.41/3.74  , clause( 23211, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 
% 3.41/3.74    'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( 
% 3.41/3.74    Z ) ), 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23212, [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 
% 3.41/3.74    'tc_set'( Z ) ), 'c_inter'( X, Y, Z ) ) ] )
% 3.41/3.74  , clause( 23213, [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset'
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23214, [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23215, [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23216, [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ] )
% 3.41/3.74  , clause( 23217, [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) )
% 3.41/3.74    , 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23218, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( 
% 3.41/3.74    X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23219, [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 
% 3.41/3.74    'tc_set'( Z ) ), 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ] )
% 3.41/3.74  , clause( 23220, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 
% 3.41/3.74    'c_in'( X, Y, T ) ] )
% 3.41/3.74  , clause( 23221, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 
% 3.41/3.74    'tc_set'( Z ) ), Z ) ) ] )
% 3.41/3.74  , clause( 23222, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 
% 3.41/3.74    'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 3.41/3.74  , clause( 23223, [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z
% 3.41/3.74     ), 'tc_set'( Z ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ] )
% 3.41/3.74  , clause( 23224, [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV'
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23225, [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV'
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23226, [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23227, [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ] )
% 3.41/3.74  , clause( 23228, [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ] )
% 3.41/3.74  , clause( 23229, [ =( 'c_inter'( X, X, Y ), X ) ] )
% 3.41/3.74  , clause( 23230, [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23231, [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23232, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 3.41/3.74    , T ) ] )
% 3.41/3.74  , clause( 23233, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 3.41/3.74    , T ) ] )
% 3.41/3.74  , clause( 23234, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( 
% 3.41/3.74    X, 'c_inter'( T, Y, Z ), Z ) ] )
% 3.41/3.74  , clause( 23235, [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T
% 3.41/3.74     ) ) ), 'c_lessequals'( X, Y, 'tc_set'( T ) ) ] )
% 3.41/3.74  , clause( 23236, [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T
% 3.41/3.74     ) ) ), 'c_lessequals'( X, Z, 'tc_set'( T ) ) ] )
% 3.41/3.74  , clause( 23237, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 3.41/3.74    'c_lessequals'( X, T, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T
% 3.41/3.74    , Y, Z ), 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23238, [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23239, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, 
% 3.41/3.74    Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23240, [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 
% 3.41/3.74    'tc_set'( Y ) ), =( 'c_Inter'( X, Y ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23241, [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 
% 3.41/3.74    'c_UNIV' ) ), =( 'c_Inter'( X, Y ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23242, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 
% 3.41/3.74    'c_Inter'( Y, Z ) ) ), =( X, 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23243, [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 
% 3.41/3.74    'tc_set'( Y ) ), =( 'c_UNIV', 'c_Inter'( X, Y ) ) ] )
% 3.41/3.74  , clause( 23244, [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 
% 3.41/3.74    'c_UNIV' ) ), =( 'c_UNIV', 'c_Inter'( X, Y ) ) ] )
% 3.41/3.74  , clause( 23245, [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23246, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 
% 3.41/3.74    'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 3.41/3.74  , clause( 23247, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 
% 3.41/3.74    'c_Main_OInter__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23248, [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) )
% 3.41/3.74    , 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 3.41/3.74  , clause( 23249, [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 
% 3.41/3.74    'c_inter'( X, 'c_Inter'( Y, Z ), Z ) ) ] )
% 3.41/3.74  , clause( 23250, [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 
% 3.41/3.74    'c_Pow'( X, Z ), 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ] )
% 3.41/3.74  , clause( 23251, [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23252, [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset'
% 3.41/3.74    , 'c_emptyset', 'tc_set'( X ) ) ) ] )
% 3.41/3.74  , clause( 23253, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 
% 3.41/3.74    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23254, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 
% 3.41/3.74    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23255, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 3.41/3.74  , clause( 23256, [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 
% 3.41/3.74    'c_union'( X, Y, Z ) ) ] )
% 3.41/3.74  , clause( 23257, [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 
% 3.41/3.74    'c_union'( X, Y, Z ) ) ] )
% 3.41/3.74  , clause( 23258, [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23259, [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23260, [ =( 'c_union'( X, X, Y ), X ) ] )
% 3.41/3.74  , clause( 23261, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23262, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23263, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23264, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 3.41/3.74  , clause( 23265, [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ] )
% 3.41/3.74  , clause( 23266, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 3.41/3.74    , T ), 'c_in'( X, Y, T ) ] )
% 3.41/3.74  , clause( 23267, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 3.41/3.74    , Z ) ] )
% 3.41/3.74  , clause( 23268, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 3.41/3.74    , Z ) ] )
% 3.41/3.74  , clause( 23269, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( 
% 3.41/3.74    X, 'c_union'( Y, T, Z ), Z ) ) ] )
% 3.41/3.74  , clause( 23270, [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( 
% 3.41/3.74    Y, 'c_union'( X, Z, T ), T ) ) ] )
% 3.41/3.74  , clause( 23271, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z
% 3.41/3.74     ) ) ), 'c_lessequals'( X, T, 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23272, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z
% 3.41/3.74     ) ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23273, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 3.41/3.74    'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 3.41/3.74    , Z ), Y, 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23274, [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ] )
% 3.41/3.74  , clause( 23275, [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23276, [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 
% 3.41/3.74    'c_union'( 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ] )
% 3.41/3.74  , clause( 23277, [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23278, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, 
% 3.41/3.74    Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23279, [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 
% 3.41/3.74    'tc_set'( Y ) ), =( 'c_Union'( X, Y ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23280, [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 
% 3.41/3.74    'c_emptyset' ) ), =( 'c_Union'( X, Y ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23281, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 3.41/3.74    'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23282, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 3.41/3.74    'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ] )
% 3.41/3.74  , clause( 23283, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 3.41/3.74     ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 3.41/3.74  , clause( 23284, [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 
% 3.41/3.74    'c_union'( X, 'c_Union'( Y, Z ), Z ) ) ] )
% 3.41/3.74  , clause( 23285, [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y )
% 3.41/3.74    , =( X, 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23286, [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), 
% 3.41/3.74    Y ), X ) ] )
% 3.41/3.74  , clause( 23287, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( 
% 3.41/3.74    X, T, Z ), Z ), 'c_emptyset' ) ) ] )
% 3.41/3.74  , clause( 23288, [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 
% 3.41/3.74    'c_emptyset' ) ), =( 'c_inter'( X, Z, T ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23289, [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T
% 3.41/3.74    , X, Z ), =( 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23290, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y
% 3.41/3.74    , 'c_insert'( X, T, Z ), Z ) ) ) ] )
% 3.41/3.74  , clause( 23291, [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T )
% 3.41/3.74    , T ) ) ), =( 'c_emptyset', 'c_inter'( X, Z, T ) ) ] )
% 3.41/3.74  , clause( 23292, [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T
% 3.41/3.74    , X, Z ), =( 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23293, [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( 
% 3.41/3.74    Y ) ), X ) ] )
% 3.41/3.74  , clause( 23294, [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23295, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 
% 3.41/3.74    'c_Union'( Y, Z ) ) ), =( X, 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23296, [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 
% 3.41/3.74    'tc_set'( Y ) ), =( 'c_emptyset', 'c_Union'( X, Y ) ) ] )
% 3.41/3.74  , clause( 23297, [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 
% 3.41/3.74    'c_emptyset' ) ), =( 'c_emptyset', 'c_Union'( X, Y ) ) ] )
% 3.41/3.74  , clause( 23298, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 3.41/3.74  , clause( 23299, [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ] )
% 3.41/3.74  , clause( 23300, [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, 
% 3.41/3.74    Z ), Y, 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ] )
% 3.41/3.74  , clause( 23301, [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 
% 3.41/3.74    'c_emptyset', Z ), 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ] )
% 3.41/3.74  , clause( 23302, [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( 
% 3.41/3.74    X, Y, Z ) ) ] )
% 3.41/3.74  , clause( 23303, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, 
% 3.41/3.74    T, Z ), Y, Z ), 'c_emptyset' ) ) ] )
% 3.41/3.74  , clause( 23304, [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 
% 3.41/3.74    'c_emptyset' ) ), =( 'c_inter'( Y, T, Z ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23305, [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T
% 3.41/3.74    , Y, Z ), =( 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23306, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 
% 3.41/3.74    'c_insert'( X, T, Z ), Y, Z ) ) ) ] )
% 3.41/3.74  , clause( 23307, [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T
% 3.41/3.74    , Z ) ) ), =( 'c_emptyset', 'c_inter'( Y, T, Z ) ) ] )
% 3.41/3.74  , clause( 23308, [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T
% 3.41/3.74    , Y, Z ), =( 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23309, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 3.41/3.74    , T ), =( X, Y ) ] )
% 3.41/3.74  , clause( 23310, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 3.41/3.74  , clause( 23311, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 3.41/3.74    , Z ) ] )
% 3.41/3.74  , clause( 23312, [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z
% 3.41/3.74     ), Z ), 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ] )
% 3.41/3.74  , clause( 23313, [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ] )
% 3.41/3.74  , clause( 23314, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 3.41/3.74     ) ) ), 'c_in'( X, T, Z ) ] )
% 3.41/3.74  , clause( 23315, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 3.41/3.74     ) ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 3.41/3.74  , clause( 23316, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 
% 3.41/3.74    'tc_set'( Z ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23317, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 3.41/3.74  , clause( 23318, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 3.41/3.74    , Y ) ) ), =( Z, X ) ] )
% 3.41/3.74  , clause( 23319, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 3.41/3.74    , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( 
% 3.41/3.74    Y ) ) ] )
% 3.41/3.74  , clause( 23320, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 3.41/3.74    'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 3.41/3.74    , Z ) ) ] )
% 3.41/3.74  , clause( 23321, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 3.41/3.74    , Z ) ) ), =( X, T ) ] )
% 3.41/3.74  , clause( 23322, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 3.41/3.74    , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( 
% 3.41/3.74    Z ) ) ] )
% 3.41/3.74  , clause( 23323, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 3.41/3.74    'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 3.41/3.74    , Z ) ) ] )
% 3.41/3.74  , clause( 23324, [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ] )
% 3.41/3.74  , clause( 23325, [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), 
% 3.41/3.74    =( X, 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23326, [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23327, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 3.41/3.74    T, Y, Z ) ) ), =( X, T ) ] )
% 3.41/3.74  , clause( 23328, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 3.41/3.74    T, Z, Y ) ) ) ] )
% 3.41/3.74  , clause( 23329, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 3.41/3.74    T, Y, Z ) ) ), =( X, T ) ] )
% 3.41/3.74  , clause( 23330, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 3.41/3.74    T, Z, Y ) ) ) ] )
% 3.41/3.74  , clause( 23331, [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 
% 3.41/3.74    'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23332, [ =( 'c_Relation_ODomain'( 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23333, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( 
% 3.41/3.74    X, Y ), Y, Y ), 'c_UNIV' ) ] )
% 3.41/3.74  , clause( 23334, [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 3.41/3.74    'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'( 
% 3.41/3.74    X, Y ) ) ] )
% 3.41/3.74  , clause( 23335, [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ), 
% 3.41/3.74    'c_Relation_OId' ) ] )
% 3.41/3.74  , clause( 23336, [ =( 'c_Transitive__Closure_Ortrancl'( 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 3.41/3.74  , clause( 23337, [ =( 'c_Relation_Orel__comp'( 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ), 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 3.41/3.74  , clause( 23338, [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 
% 3.41/3.74    'c_Relation_OId', 'tc_prod'( Y, Y ) ), Y ), 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 3.41/3.74  , clause( 23339, [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( 
% 3.41/3.74    X, Y ), Y, Y ), 'c_Relation_ODomain'( X, Y, Y ) ) ] )
% 3.41/3.74  , clause( 23340, [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 
% 3.41/3.74    'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23341, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( 
% 3.41/3.74    X, Y ), Y, Y ), 'c_Relation_ORange'( X, Y, Y ) ) ] )
% 3.41/3.74  , clause( 23342, [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 
% 3.41/3.74    'c_Relation_OId', 'tc_prod'( Y, Y ) ), Y ), 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 3.41/3.74  , clause( 23343, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 
% 3.41/3.74    'c_Relation_Oconverse'( X, Y, Y ), Y ) ), 
% 3.41/3.74    'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 3.41/3.74  , clause( 23344, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 3.41/3.74    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23345, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 3.41/3.74    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 3.41/3.74    'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 3.41/3.74  , clause( 23346, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 3.41/3.74    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 
% 3.41/3.74    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 3.41/3.74    'tc_prod'( Z, Z ) ) ) ] )
% 3.41/3.74  , clause( 23347, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 3.41/3.74    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 3.41/3.74    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 3.41/3.74  , clause( 23348, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 3.41/3.74    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 3.41/3.74    'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 3.41/3.74  , clause( 23349, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 3.41/3.74    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 3.41/3.74    , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23350, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 3.41/3.74    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 3.41/3.74    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 3.41/3.74    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 3.41/3.74  , clause( 23351, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 
% 3.41/3.74    'c_Pair'( Z, Z, Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ] )
% 3.41/3.74  , clause( 23352, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 3.41/3.74    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 3.41/3.74     ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 3.41/3.74  , clause( 23353, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 3.41/3.74    , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 
% 3.41/3.74    'tc_nat', 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23354, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 3.41/3.74    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23355, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 3.41/3.74    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23356, [ ~( =( 'c_Message_Oagent_OServer', 
% 3.41/3.74    'c_Message_Oagent_OFriend'( X ) ) ) ] )
% 3.41/3.74  , clause( 23357, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 3.41/3.74    'c_Message_Oagent_OServer' ) ) ] )
% 3.41/3.74  , clause( 23358, [ ~( =( 'c_Message_Oagent_OServer', 
% 3.41/3.74    'c_Message_Oagent_OSpy' ) ) ] )
% 3.41/3.74  , clause( 23359, [ ~( =( 'c_Message_Oagent_OSpy', 
% 3.41/3.74    'c_Message_Oagent_OServer' ) ) ] )
% 3.41/3.74  , clause( 23360, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 3.41/3.74    'c_Message_Oagent_OSpy' ) ) ] )
% 3.41/3.74  , clause( 23361, [ ~( =( 'c_Message_Oagent_OSpy', 
% 3.41/3.74    'c_Message_Oagent_OFriend'( X ) ) ) ] )
% 3.41/3.74  , clause( 23362, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 3.41/3.74    'c_Message_Oagent_OFriend'( Y ) ) ), =( X, Y ) ] )
% 3.41/3.74  , clause( 23363, [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OServer', 
% 3.41/3.74    'tc_Message_Oagent' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23364, [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OFriend'( X ), 
% 3.41/3.74    'tc_Message_Oagent' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23365, [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OSpy', 
% 3.41/3.74    'tc_Message_Oagent' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23366, [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X )
% 3.41/3.74     ] )
% 3.41/3.74  , clause( 23367, [ ~( =( 'c_Message_OinvKey'( X ), 'c_Message_OinvKey'( Y )
% 3.41/3.74     ) ), =( X, Y ) ] )
% 3.41/3.74  , clause( 23368, [ =( 'c_Message_OkeysFor'( 'c_union'( X, Y, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_OkeysFor'( X ), 
% 3.41/3.74    'c_Message_OkeysFor'( Y ), 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23369, [ =( 'c_Message_OkeysFor'( 'c_emptyset' ), 'c_emptyset' )
% 3.41/3.74     ] )
% 3.41/3.74  , clause( 23370, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( X ), Y, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_Message_OkeysFor'( Y ) ) ] )
% 3.41/3.74  , clause( 23371, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_OinvKey'( X ), 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23372, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OHash'( X ), Y, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_Message_OkeysFor'( Y ) ) ] )
% 3.41/3.74  , clause( 23373, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_Message_OkeysFor'( Y ) ) ] )
% 3.41/3.74  , clause( 23374, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_Message_OkeysFor'( Z ) ) ] )
% 3.41/3.74  , clause( 23375, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_Message_OkeysFor'( Y ) ) ] )
% 3.41/3.74  , clause( 23376, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONumber'( X ), Y, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_Message_OkeysFor'( Y ) ) ] )
% 3.41/3.74  , clause( 23377, [ ~( =( 'c_Message_Omsg_OAgent'( X ), 
% 3.41/3.74    'c_Message_Omsg_OAgent'( Y ) ) ), =( X, Y ) ] )
% 3.41/3.74  , clause( 23378, [ ~( =( 'c_Message_Omsg_ONumber'( X ), 
% 3.41/3.74    'c_Message_Omsg_ONumber'( Y ) ) ), =( X, Y ) ] )
% 3.41/3.74  , clause( 23379, [ ~( =( 'c_Message_Omsg_ONonce'( X ), 
% 3.41/3.74    'c_Message_Omsg_ONonce'( Y ) ) ), =( X, Y ) ] )
% 3.41/3.74  , clause( 23380, [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( 
% 3.41/3.74    Y ) ) ), =( X, Y ) ] )
% 3.41/3.74  , clause( 23381, [ ~( =( 'c_Message_Omsg_OHash'( X ), 
% 3.41/3.74    'c_Message_Omsg_OHash'( Y ) ) ), =( X, Y ) ] )
% 3.41/3.74  , clause( 23382, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( X, Z ) ] )
% 3.41/3.74  , clause( 23383, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( Y, T ) ] )
% 3.41/3.74  , clause( 23384, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( X, Z ) ] )
% 3.41/3.74  , clause( 23385, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( Y, T ) ] )
% 3.41/3.74  , clause( 23386, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OAgent'( X ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23387, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONumber'( X ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23388, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONonce'( X ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23389, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OKey'( X ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23390, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OHash'( X ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 
% 3.41/3.74    'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23391, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_plus'( 'c_plus'( 'c_Nat_Osize'( X, 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'tc_nat' ), 
% 3.41/3.74    'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23392, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 
% 3.41/3.74    'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23393, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 3.41/3.74    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23394, [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oparts'( X ), 
% 3.41/3.74    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23395, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ), 
% 3.41/3.74    'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23396, [ =( 'c_Message_Oparts'( 'c_emptyset' ), 'c_emptyset' ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23397, [ =( 'c_union'( X, 'c_union'( Y, X, Z ), Z ), 'c_union'( Y
% 3.41/3.74    , X, Z ) ) ] )
% 3.41/3.74  , clause( 23398, [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad', 
% 3.41/3.74    'tc_Message_Oagent' ) ) ] )
% 3.41/3.74  , clause( 23399, [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad', 
% 3.41/3.74    'tc_Message_Oagent' ) ] )
% 3.41/3.74  , clause( 23400, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 3.41/3.74    'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 3.41/3.74    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23401, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 3.41/3.74    'c_Event_Oevent_OGets'( T, U ) ) ) ] )
% 3.41/3.74  , clause( 23402, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 3.41/3.74    'c_Event_Oevent_OSays'( Z, T, U ) ) ) ] )
% 3.41/3.74  , clause( 23403, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 3.41/3.74    'c_Event_Oevent_ONotes'( T, U ) ) ) ] )
% 3.41/3.74  , clause( 23404, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 3.41/3.74    'c_Event_Oevent_OSays'( Z, T, U ) ) ) ] )
% 3.41/3.74  , clause( 23405, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 3.41/3.74    'c_Event_Oevent_ONotes'( Z, T ) ) ) ] )
% 3.41/3.74  , clause( 23406, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 3.41/3.74    'c_Event_Oevent_OGets'( Z, T ) ) ) ] )
% 3.41/3.74  , clause( 23407, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 3.41/3.74    'c_Event_Oevent_OSays'( T, U, W ) ) ), =( X, T ) ] )
% 3.41/3.74  , clause( 23408, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 3.41/3.74    'c_Event_Oevent_OSays'( T, U, W ) ) ), =( Y, U ) ] )
% 3.41/3.74  , clause( 23409, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 3.41/3.74    'c_Event_Oevent_OSays'( T, U, W ) ) ), =( Z, W ) ] )
% 3.41/3.74  , clause( 23410, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 3.41/3.74    'c_Event_Oevent_OGets'( Z, T ) ) ), =( X, Z ) ] )
% 3.41/3.74  , clause( 23411, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 3.41/3.74    'c_Event_Oevent_OGets'( Z, T ) ) ), =( Y, T ) ] )
% 3.41/3.74  , clause( 23412, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 3.41/3.74    'c_Event_Oevent_ONotes'( Z, T ) ) ), =( X, Z ) ] )
% 3.41/3.74  , clause( 23413, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 3.41/3.74    'c_Event_Oevent_ONotes'( Z, T ) ) ), =( Y, T ) ] )
% 3.41/3.74  , clause( 23414, [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 3.41/3.74    'tc_Event_Oevent' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23415, [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OGets'( X, Y ), 
% 3.41/3.74    'tc_Event_Oevent' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23416, [ =( 'c_Nat_Osize'( 'c_Event_Oevent_ONotes'( X, Y ), 
% 3.41/3.74    'tc_Event_Oevent' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23417, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( 
% 3.41/3.74    Y ) ), 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), 
% 3.41/3.74    'c_in'( 'c_Message_Omsg_OKey'( 'v_sko__uhi'( Y, X ) ), Y, 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23418, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( 
% 3.41/3.74    Y ) ), 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), 
% 3.41/3.74    =( X, 'c_Message_OinvKey'( 'v_sko__uhi'( Y, X ) ) ) ] )
% 3.41/3.74  , clause( 23419, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ) ), 
% 3.41/3.74    'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23420, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_OinvKey'( X ), 
% 3.41/3.74    'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ] )
% 3.41/3.74  , clause( 23421, [ =( 'c_Event_Oknows'( X, 'c_List_Olist_ONil' ), 
% 3.41/3.74    'c_Event_OinitState'( X ) ) ] )
% 3.41/3.74  , clause( 23422, [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 
% 3.41/3.74    'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( X, Y ), Z, 
% 3.41/3.74    'tc_Event_Oevent' ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23423, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 3.41/3.74    =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_insert'( Y
% 3.41/3.74    , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23424, [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), =( 
% 3.41/3.74    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 
% 3.41/3.74    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ] )
% 3.41/3.74  , clause( 23425, [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 
% 3.41/3.74    'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( X, Y, Z ), T, 
% 3.41/3.74    'tc_Event_Oevent' ) ), 'c_insert'( Z, 'c_Event_Oknows'( 
% 3.41/3.74    'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23426, [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_OGets'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oused'( 
% 3.41/3.74    Z ) ) ] )
% 3.41/3.74  , clause( 23427, [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_union'( 
% 3.41/3.74    'c_Message_Oparts'( 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23428, [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( X, Y, Z ), T, 'tc_Event_Oevent' ) ), 'c_union'( 
% 3.41/3.74    'c_Message_Oparts'( 'c_insert'( Z, 'c_emptyset', 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_Event_Oused'( T ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23429, [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'( 
% 3.41/3.74    Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23430, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 3.41/3.74    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23431, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23432, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23433, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y
% 3.41/3.74     ) ), 'tc_Message_Omsg' ) ), =( 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 3.41/3.74    'c_insert'( X, Y, 'tc_Message_Omsg' ) ) ), 'c_Message_Osynth'( 
% 3.41/3.74    'c_Message_Oanalz'( Y ) ) ) ] )
% 3.41/3.74  , clause( 23434, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z
% 3.41/3.74    , T ) ) ), =( X, Z ) ] )
% 3.41/3.74  , clause( 23435, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z
% 3.41/3.74    , T ) ) ), =( Y, T ) ] )
% 3.41/3.74  , clause( 23436, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( Z, 'c_Message_Omsg_OHash'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ) ) ) ] )
% 3.41/3.74  , clause( 23437, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( T, Y ) ] )
% 3.41/3.74  , clause( 23438, [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ] )
% 3.41/3.74  , clause( 23439, [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( 
% 3.41/3.74    Y, Z ) ) ) ] )
% 3.41/3.74  , clause( 23440, [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( 
% 3.41/3.74    Y, Z ) ) ) ] )
% 3.41/3.74  , clause( 23441, [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'( 
% 3.41/3.74    Y, Z ) ) ) ] )
% 3.41/3.74  , clause( 23442, [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y
% 3.41/3.74    , Z ) ) ) ] )
% 3.41/3.74  , clause( 23443, [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y
% 3.41/3.74    , Z ) ) ) ] )
% 3.41/3.74  , clause( 23444, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'c_Message_OHPair'( Z, T ) ) ) ] )
% 3.41/3.74  , clause( 23445, [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Oanalz'( Z ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23446, [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_in'( Y, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z
% 3.41/3.74     ) ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23447, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y
% 3.41/3.74     ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OHash'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( Z, X ) ), 'c_Message_Oanalz'( Y ), 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 3.41/3.74    Y ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_OHPair'( Z, X ), 
% 3.41/3.74    'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23448, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_OAgent'( Z ) ) ) ] )
% 3.41/3.74  , clause( 23449, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( Z, T ) ) ) ] )
% 3.41/3.74  , clause( 23450, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'( 
% 3.41/3.74    Z ) ) ) ] )
% 3.41/3.74  , clause( 23451, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'( 
% 3.41/3.74    Z ) ) ) ] )
% 3.41/3.74  , clause( 23452, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_ONonce'( Z ) ) ) ] )
% 3.41/3.74  , clause( 23453, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_Message_Omsg_ONumber'( Z ) ) ) ] )
% 3.41/3.74  , clause( 23454, [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ), 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OHash'( X ), Y, 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23455, [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 3.41/3.74    Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 
% 3.41/3.74    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 3.41/3.74    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23456, [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Oanalz'( Z ), 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 3.41/3.74    Z ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 3.41/3.74    Z ) ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23457, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23458, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23459, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 3.41/3.74    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23460, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 3.41/3.74    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23461, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_OHPair'( Z, T ) ) ), =( X, 'c_Message_Omsg_OHash'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( Z, T ) ) ) ] )
% 3.41/3.74  , clause( 23462, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_OHPair'( Z, T ) ) ), =( Y, T ) ] )
% 3.41/3.74  , clause( 23463, [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ] )
% 3.41/3.74  , clause( 23464, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 3.41/3.74    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23465, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 3.41/3.74    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23466, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23467, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_in'( Y, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23468, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y
% 3.41/3.74     ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( 
% 3.41/3.74    'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 3.41/3.74    Y ) ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23469, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23470, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( X ), 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23471, [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23472, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z
% 3.41/3.74     ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23473, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 3.41/3.74    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23474, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X
% 3.41/3.74     ) ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), =( 
% 3.41/3.74    'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 
% 3.41/3.74    'c_Message_Oanalz'( 'c_insert'( Z, Y, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23475, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X )
% 3.41/3.74     ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), =( 'c_Message_Oanalz'( 
% 3.41/3.74    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( Y ), 
% 3.41/3.74    'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23476, [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y
% 3.41/3.74     ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23477, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X
% 3.41/3.74     ), Y, 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 3.41/3.74    'tc_Message_Omsg' ) ) ) ] )
% 3.41/3.74  , clause( 23478, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23479, [ =( 'c_Message_Oanalz'( 'c_emptyset' ), 'c_emptyset' ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23480, [ =( 'c_Message_Oanalz'( 'c_Message_Oanalz'( X ) ), 
% 3.41/3.74    'c_Message_Oanalz'( X ) ) ] )
% 3.41/3.74  , clause( 23481, [ =( 'c_Message_Oanalz'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23482, [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_OHPair'( X
% 3.41/3.74    , Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_insert'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 3.41/3.74    'c_Message_Oanalz'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23483, [ =( 'c_Message_Oanalz'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OHash'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OHash'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23484, [ 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oanalz'( Y )
% 3.41/3.74     ), 'tc_nat' ), =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OKey'( 
% 3.41/3.74    X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 3.41/3.74    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23485, [ =( 'c_Message_Oanalz'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( 'c_insert'( X, 
% 3.41/3.74    'c_insert'( Y, Z, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23486, [ =( 'c_Message_Oanalz'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONonce'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23487, [ =( 'c_Message_Oanalz'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONumber'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONumber'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23488, [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ), 
% 3.41/3.74    'c_Message_Oparts'( X ) ) ] )
% 3.41/3.74  , clause( 23489, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ), 
% 3.41/3.74    'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 3.41/3.74    'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23490, [ ~( 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'( 
% 3.41/3.74    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oanalz'( X ), 
% 3.41/3.74    'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23491, [ =( 'c_Message_Oanalz'( 'c_Message_Osynth'( X ) ), 
% 3.41/3.74    'c_union'( 'c_Message_Oanalz'( X ), 'c_Message_Osynth'( X ), 
% 3.41/3.74    'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23492, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X
% 3.41/3.74     ), Y, 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X
% 3.41/3.74    , Y, 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' )
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23493, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 3.41/3.74    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 'c_in'( X, 
% 3.41/3.74    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23494, [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_OHPair'( 
% 3.41/3.74    X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ] )
% 3.41/3.74  , clause( 23495, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 
% 3.41/3.74    'c_Message_Oparts'( X ) ) ] )
% 3.41/3.74  , clause( 23496, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ), =( 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_Message_Oparts'( Y ) ) ] )
% 3.41/3.74  , clause( 23497, [ =( 'c_Message_Oparts'( 'c_Message_Oparts'( X ) ), 
% 3.41/3.74    'c_Message_Oparts'( X ) ) ] )
% 3.41/3.74  , clause( 23498, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23499, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( 'c_insert'( Y, Z, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23500, [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_OHPair'( X
% 3.41/3.74    , Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 
% 3.41/3.74    'c_insert'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 3.41/3.74    'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23501, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OHash'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OHash'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' )
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23502, [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OKey'( 
% 3.41/3.74    X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 3.41/3.74    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23503, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( 'c_insert'( X, 
% 3.41/3.74    'c_insert'( Y, Z, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23504, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23505, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONumber'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 3.41/3.74    'c_Message_Omsg_ONumber'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ) ] )
% 3.41/3.74  , clause( 23506, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y
% 3.41/3.74     ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23507, [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 
% 3.41/3.74    'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 3.41/3.74    'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23508, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 
% 3.41/3.74    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ), 
% 3.41/3.74    'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23509, [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ), 
% 3.41/3.74    'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ), 
% 3.41/3.74    'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23510, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23511, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ), 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23512, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23513, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 3.41/3.74     ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23514, [ ~( 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 3.41/3.74    'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 3.41/3.74     ) ] )
% 3.41/3.74  , clause( 23515, [ ~( 'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'( 
% 3.41/3.74    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 3.41/3.74    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23516, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y
% 3.41/3.74     ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23517, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'c_Event_Oused'( 'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23518, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Oused'( 
% 3.41/3.74    Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23519, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 3.41/3.74    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Oused'( 
% 3.41/3.74    Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23520, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 
% 3.41/3.74    'c_Message_Oparts'( 'c_Event_OinitState'( Y ) ), 'tc_Message_Omsg' ) ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23521, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 
% 3.41/3.74    'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.74  , clause( 23522, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 3.41/3.74    'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( 
% 3.41/3.74    Y, X ) ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23523, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 3.41/3.74    'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'( 
% 3.41/3.74    'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23524, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X
% 3.41/3.74    , Y ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z
% 3.41/3.74     ) ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23525, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), =( 
% 3.41/3.74    'c_Message_OinvKey'( X ), X ) ] )
% 3.41/3.74  , clause( 23526, [ =( 'c_Message_OinvKey'( 'c_Public_OshrK'( X ) ), 
% 3.41/3.74    'c_Public_OshrK'( X ) ) ] )
% 3.41/3.74  , clause( 23527, [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 3.41/3.74    'c_Public_Okeymode_OSignature', Z ), X ) ] )
% 3.41/3.74  , clause( 23528, [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 3.41/3.74    'c_Public_Okeymode_OEncryption', Z ), Y ) ] )
% 3.41/3.74  , clause( 23529, [ ~( =( 'c_Public_Okeymode_OSignature', 
% 3.41/3.74    'c_Public_Okeymode_OEncryption' ) ) ] )
% 3.41/3.74  , clause( 23530, [ ~( =( 'c_Public_Okeymode_OEncryption', 
% 3.41/3.74    'c_Public_Okeymode_OSignature' ) ) ] )
% 3.41/3.74  , clause( 23531, [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 3.41/3.74    'c_Public_Okeymode_OSignature', Z ), X ) ] )
% 3.41/3.74  , clause( 23532, [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 3.41/3.74    'c_Public_Okeymode_OEncryption', Z ), Y ) ] )
% 3.41/3.74  , clause( 23533, [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OSignature', 
% 3.41/3.74    'tc_Public_Okeymode' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23534, [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OEncryption', 
% 3.41/3.74    'tc_Public_Okeymode' ), 'c_0' ) ] )
% 3.41/3.74  , clause( 23535, [ =( 'c_Message_OkeysFor'( 'c_Message_Oparts'( 
% 3.41/3.74    'c_Event_OinitState'( X ) ) ), 'c_emptyset' ) ] )
% 3.41/3.74  , clause( 23536, [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X
% 3.41/3.74    , Y ) ), 'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23537, [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ), 
% 3.41/3.74    'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 3.41/3.74  , clause( 23538, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( 
% 3.41/3.74    'c_Public_Okeymode_OEncryption', X ) ), 'c_Public_OshrK'( Y ) ) ) ] )
% 3.41/3.74  , clause( 23539, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 3.41/3.74    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_OinitState'( Y ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23540, [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'( 
% 3.41/3.74    'c_Public_OpublicKey'( Y, Z ) ) ) ) ] )
% 3.41/3.74  , clause( 23541, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y )
% 3.41/3.74     ), 'c_Public_OpublicKey'( Z, T ) ) ) ] )
% 3.41/3.74  , clause( 23542, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 3.41/3.74    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_Oused'( Z ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23543, [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z
% 3.41/3.74     ) ) ) ] )
% 3.41/3.74  , clause( 23544, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X
% 3.41/3.74    , Y ) ), 'c_Event_OinitState'( Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23545, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 
% 3.41/3.74    'c_Public_OpublicKey'( Z, T ) ) ), =( X, Z ) ] )
% 3.41/3.74  , clause( 23546, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 
% 3.41/3.74    'c_Public_OpublicKey'( Z, T ) ) ), =( Y, T ) ] )
% 3.41/3.74  , clause( 23547, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X
% 3.41/3.74    , Y ) ), 'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23548, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'( 
% 3.41/3.74    'c_Public_OpublicKey'( Z, T ) ) ) ) ] )
% 3.41/3.74  , clause( 23549, [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys', 
% 3.41/3.74    'tc_nat' ) ] )
% 3.41/3.74  , clause( 23550, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 3.41/3.74    'c_Event_OinitState'( X ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23551, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 3.41/3.74    'c_Event_Oknows'( X, Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23552, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 3.41/3.74    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23553, [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ), 
% 3.41/3.74    =( X, Y ) ] )
% 3.41/3.74  , clause( 23554, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y )
% 3.41/3.74     ), 'c_Public_OshrK'( Z ) ) ) ] )
% 3.41/3.74  , clause( 23555, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OshrK'( Z
% 3.41/3.74     ) ) ) ] )
% 3.41/3.74  , clause( 23556, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X
% 3.41/3.74    , Y ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23557, [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 
% 3.41/3.74    'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'( X, 'c_Message_OsymKeys', 
% 3.41/3.74    'tc_nat' ) ] )
% 3.41/3.74  , clause( 23558, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'( 
% 3.41/3.74    'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 3.41/3.74  , clause( 23559, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 3.41/3.74    'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 3.41/3.74    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23560, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( Y, Z, 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_in'( X, 'c_union'( 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 3.41/3.74    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23561, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 3.41/3.74    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 3.41/3.74    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23562, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 
% 3.41/3.74    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 3.41/3.74    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23563, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 
% 3.41/3.74    'c_Public_OshrK'( Y ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 
% 3.41/3.74    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 3.41/3.74    'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 3.41/3.74  , clause( 23564, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 3.41/3.74    ~( 'c_in'( Y, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 3.41/3.74     ) ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 3.41/3.74    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23565, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 
% 3.41/3.74    'c_Public_OshrK'( Y ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 3.41/3.74    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 3.41/3.74    'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 3.41/3.74  , clause( 23566, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 3.41/3.74    ~( 'c_in'( Y, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 3.41/3.74     ) ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 3.41/3.74    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23567, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 3.41/3.74    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 3.41/3.74    Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'( 
% 3.41/3.74    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 3.41/3.74    'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y, 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'( 
% 3.41/3.74    'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 3.41/3.74    Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X, 
% 3.41/3.74    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 3.41/3.74  , clause( 23568, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 
% 3.41/3.74    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( 'v_sko__wPE'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 3.41/3.74    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 3.41/3.74  , clause( 23569, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_OGets'( Z, T ), U, 'tc_Event_Oevent' ) ) ), 
% 3.41/3.74    'c_Yahalom_OKeyWithNonce'( X, Y, U ) ] )
% 3.41/3.74  , clause( 23570, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 
% 3.41/3.74    'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_OGets'( T, U ), Z, 'tc_Event_Oevent' ) ) ] )
% 3.41/3.74  , clause( 23571, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_ONotes'( Z, T ), U, 'tc_Event_Oevent' ) ) ), 
% 3.41/3.74    'c_Yahalom_OKeyWithNonce'( X, Y, U ) ] )
% 3.41/3.74  , clause( 23572, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 
% 3.41/3.74    'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_ONotes'( T, U ), Z, 'tc_Event_Oevent' ) ) ] )
% 3.41/3.74  , clause( 23573, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ), 
% 3.41/3.74    'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( 'c_Message_Oagent_OServer', Z )
% 3.41/3.74     ] )
% 3.41/3.74  , clause( 23574, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ), 
% 3.41/3.74    'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( U, 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( 'v_sko__2VZ'( T, X, Y, U ) ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'v_sko__2Va'( T, X, Y, U ), 
% 3.41/3.74    'c_Message_Omsg_ONonce'( Y ) ) ) ) ), 'v_sko__2Vb'( T, X, Y, U ) ) ) ] )
% 3.41/3.74  , clause( 23575, [ 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Z, 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_ONonce'( Y ) ) ) ) ), W ) ), 
% 3.41/3.74    V0, 'tc_Event_Oevent' ) ) ] )
% 3.41/3.74  , clause( 23576, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 
% 3.41/3.74    'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( T, U, W ), Z, 'tc_Event_Oevent' ) ) ] )
% 3.41/3.74  , clause( 23577, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 3.41/3.74    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( T ) ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 'tc_Event_Oevent' ), 
% 3.41/3.74    'tc_Event_Oevent' ) ) ] )
% 3.41/3.74  , clause( 23578, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'( 
% 3.41/3.74    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), ~( 
% 3.41/3.74    'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( Y, 
% 3.41/3.74    'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 3.41/3.74     )
% 3.41/3.74  , clause( 23579, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 3.41/3.74    'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 3.41/3.74    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23580, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 3.41/3.74    ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y ), 
% 3.41/3.74    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ), 
% 3.41/3.74    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'( 
% 3.41/3.74    'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ) ] )
% 3.41/3.74  , clause( 23581, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 
% 3.41/3.74    'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_in'( 
% 3.41/3.74    X, 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ] )
% 3.41/3.74  , clause( 23582, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 3.41/3.74    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 3.41/3.74    Z ), 'c_Message_Omsg_OKey'( T ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 3.41/3.74    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 3.41/3.74    'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'( 
% 3.41/3.74    'c_Message_Oagent_OServer', Z, 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_ONonce'( 'v_sko__2ji'( Z, Y, T, X ) ), 
% 3.41/3.74    'c_Message_Omsg_ONonce'( 'v_sko__2jj'( Z, Y, T, X ) ) ) ) ) ), 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 
% 3.41/3.74    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 3.41/3.74  , clause( 23583, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 3.41/3.74    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 3.41/3.74    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 3.41/3.74    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 3.41/3.74    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V1, Y ) ] )
% 3.41/3.74  , clause( 23584, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 3.41/3.74    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 3.41/3.74    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 3.41/3.74    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 3.41/3.74    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V2, Z ) ] )
% 3.41/3.74  , clause( 23585, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 3.41/3.74    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 3.41/3.74    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 3.41/3.74    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 3.41/3.74    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V3, U ) ] )
% 3.41/3.74  , clause( 23586, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.74    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 3.41/3.74    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 3.41/3.74    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 3.41/3.74    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 3.41/3.74    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 3.41/3.74    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 3.41/3.74    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 3.41/3.75    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V4, W ) ] )
% 3.41/3.75  , clause( 23587, [ 'c_in'( 'v_evsf', 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 3.41/3.75    'tc_Event_Oevent' ) ) ] )
% 3.41/3.75  , clause( 23588, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 3.41/3.75    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evsf' ) ) ), 
% 3.41/3.75    'tc_Message_Omsg' ) ] )
% 3.41/3.75  , clause( 23589, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 
% 3.41/3.75    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evsf' )
% 3.41/3.75     ), 'tc_Message_Omsg' ) ) ] )
% 3.41/3.75  , clause( 23590, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.41/3.75    'c_Message_Omsg_ONonce'( 'v_NB' ) ), 'c_Message_Oparts'( 'c_insert'( 
% 3.41/3.75    'v_X', 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evsf' ), 
% 3.41/3.75    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 3.41/3.75  , clause( 23591, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B'
% 3.41/3.75     ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 3.41/3.75    'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_insert'( 'v_X'
% 3.41/3.75    , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evsf' ), 
% 3.41/3.75    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 3.41/3.75  , clause( 23592, [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' )
% 3.41/3.75     ) ] )
% 3.41/3.75  , clause( 23593, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.41/3.75    'c_Message_Omsg_OMPair'( 'v_Xa', 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.41/3.75    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.41/3.75    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 3.41/3.75  , clause( 23594, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.41/3.75    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.41/3.75    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.41/3.75    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 3.41/3.75  , clause( 23595, [ ~( =( 'c_Message_Omsg_OMPair'( X, 
% 3.41/3.75    'c_Message_Omsg_OCrypt'( 'v_K', 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ), 
% 3.41/3.75    'v_X' ) ), ~( =( 'v_B', 'v_Ba' ) ), ~( =( 'v_A', 'c_Message_Oagent_OSpy'
% 3.41/3.75     ) ) ] )
% 3.41/3.75  ] ).
% 3.41/3.75  
% 3.41/3.75  
% 3.41/3.75  
% 3.41/3.75  subsumption(
% 3.41/3.75  clause( 2831, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.41/3.75    'c_Message_Omsg_OMPair'( 'v_Xa', 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.41/3.75    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.41/3.75    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 3.41/3.75  , clause( 23593, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.41/3.75    'c_Message_Omsg_OMPair'( 'v_Xa', 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.41/3.75    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.41/3.75    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 3.41/3.75  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.41/3.75  
% 3.41/3.75  
% 3.41/3.75  subsumption(
% 3.41/3.75  clause( 2832, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.41/3.75    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.41/3.75    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.41/3.75    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 3.41/3.75  , clause( 23594, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.41/3.75    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.41/3.75    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.41/3.75    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 3.41/3.75  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.41/3.75  
% 3.41/3.75  
% 3.41/3.75  resolution(
% 3.41/3.75  clause( 27080, [] )
% 3.41/3.75  , clause( 2832, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.41/3.75    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.41/3.75    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.41/3.75    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 3.41/3.75  , 0, clause( 2831, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 
% 3.41/3.75    'c_Message_Omsg_OMPair'( 'v_Xa', 'c_Message_Omsg_OCrypt'( 'v_K', 
% 3.41/3.75    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evsf', 
% 3.41/3.75    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 3.41/3.75  , 0, substitution( 0, [ :=( X, 'v_Xa' )] ), substitution( 1, [] )).
% 3.41/3.75  
% 3.41/3.75  
% 3.41/3.75  subsumption(
% 3.41/3.75  clause( 20625, [] )
% 3.41/3.75  , clause( 27080, [] )
% 3.41/3.75  , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.41/3.75  
% 3.41/3.75  
% 3.41/3.75  end.
% 3.41/3.75  
% 3.41/3.75  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.41/3.75  
% 3.41/3.75  Memory use:
% 3.41/3.75  
% 3.41/3.75  space for terms:        704870
% 3.41/3.75  space for clauses:      1532326
% 3.41/3.75  
% 3.41/3.75  
% 3.41/3.75  clauses generated:      51852
% 3.41/3.75  clauses kept:           20626
% 3.41/3.75  clauses selected:       1319
% 3.41/3.75  clauses deleted:        60
% 3.41/3.75  clauses inuse deleted:  2
% 3.41/3.75  
% 3.41/3.75  subsentry:          108079
% 3.41/3.75  literals s-matched: 68230
% 3.41/3.75  literals matched:   66815
% 3.41/3.75  full subsumption:   26427
% 3.41/3.75  
% 3.41/3.75  checksum:           135669357
% 3.41/3.75  
% 3.41/3.75  
% 3.41/3.75  Bliksem ended
%------------------------------------------------------------------------------