%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV351-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n018.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 16:24:24 EDT 2022

% Result   : Unsatisfiable 1.95s 2.28s
% Output   : Refutation 1.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWV351-1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.09  % Command  : bliksem %s
% 0.09/0.29  % Computer : n018.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % DateTime : Tue Jun 14 21:24:29 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 1.77/2.20  *** allocated 10000 integers for termspace/termends
% 1.77/2.20  *** allocated 10000 integers for clauses
% 1.77/2.20  *** allocated 10000 integers for justifications
% 1.77/2.20  *** allocated 15000 integers for termspace/termends
% 1.77/2.20  *** allocated 22500 integers for termspace/termends
% 1.77/2.20  *** allocated 33750 integers for termspace/termends
% 1.77/2.20  *** allocated 50625 integers for termspace/termends
% 1.77/2.20  Bliksem 1.12
% 1.77/2.20  
% 1.77/2.20  
% 1.77/2.20  Automatic Strategy Selection
% 1.77/2.20  
% 1.77/2.20  Clauses:
% 1.77/2.20  [
% 1.77/2.20     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.77/2.20    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.77/2.20     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.77/2.20    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.77/2.20     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.77/2.20    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.20    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.77/2.20    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 1.77/2.20    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 1.77/2.20    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 1.77/2.21    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.77/2.21     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.77/2.21     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.77/2.21    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.77/2.21    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.77/2.21    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 1.77/2.21    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 1.77/2.21    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.77/2.21     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.77/2.21    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.77/2.21    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.77/2.21    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.77/2.21    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.77/2.21    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.77/2.21    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.77/2.21    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.77/2.21    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.77/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.77/2.21    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.77/2.21    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.77/2.21    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.77/2.21    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.77/2.21     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.77/2.21    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.77/2.21    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.77/2.21    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.77/2.21    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.77/2.21     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.77/2.21    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 1.77/2.21    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'( 
% 1.77/2.21    Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.77/2.21    ,
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'( 
% 1.77/2.21    Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.77/2.21    ,
% 1.77/2.21     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.77/2.21    , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.77/2.21    , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 1.77/2.21    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.77/2.21    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 1.77/2.21    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.77/2.21     ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'( 
% 1.77/2.21    Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 1.77/2.21    X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.77/2.21     ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 1.77/2.21    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 1.77/2.21    X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.77/2.21     ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 1.77/2.21    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), 
% 1.77/2.21    'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.77/2.21    , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 1.77/2.21    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.77/2.21    , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 1.77/2.21    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 1.77/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.77/2.21    ,
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.77/2.21    ,
% 1.77/2.21     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 
% 1.77/2.21    'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.77/2.21    'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.77/2.21    'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.77/2.21    'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.77/2.21    , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'( 
% 1.77/2.21    'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.77/2.21    , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.77/2.21    , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.77/2.21    , 'tc_set'( Y ) ) ],
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.77/2.21     ) ), X, 'tc_nat' ) ],
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.77/2.21     ) ), Y, 'tc_nat' ) ],
% 1.77/2.21     [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ), 
% 1.77/2.21    ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.77/2.21     [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.77/2.21    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.77/2.21     [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 1.77/2.21    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 1.77/2.21    'tc_IntDef_Oint' ) ],
% 1.77/2.21     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ), 
% 1.77/2.21    'tc_IntDef_Oint' ) ],
% 1.77/2.21     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.77/2.21    , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.77/2.21     ) ) ],
% 1.77/2.21     [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.77/2.21     [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.77/2.21     ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 1.77/2.21    'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.77/2.21     [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'( 
% 1.77/2.21    'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y, 
% 1.77/2.21    'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.77/2.21     [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 1.77/2.21    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.77/2.21    'tc_nat' ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.77/2.21    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.77/2.21    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 1.77/2.21    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 1.77/2.21    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.77/2.21    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.77/2.21    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.77/2.21    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 1.77/2.21    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.77/2.21    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.77/2.21    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.77/2.21    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.77/2.21    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 1.77/2.21    'tc_prod'( Z, Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.77/2.21    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.77/2.21    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 1.77/2.21    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 1.77/2.21    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.77/2.21    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.77/2.21    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.77/2.21    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 1.77/2.21    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.77/2.21    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.77/2.21    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.77/2.21    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.77/2.21    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 1.77/2.21    'tc_prod'( T, T ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.77/2.21    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 1.77/2.21    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.77/2.21    'c_List_Olist_ONil' ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.77/2.21    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 1.77/2.21    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.77/2.21    'c_List_Olist_ONil' ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.77/2.21    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 1.77/2.21    'tc_List_Olist'( Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.77/2.21    'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.77/2.21     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 
% 1.77/2.21    'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ), 
% 1.77/2.21    'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'( 
% 1.77/2.21    Y ) ) ],
% 1.77/2.21     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.77/2.21    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 1.77/2.21    Y ) ) ],
% 1.77/2.21     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.77/2.21    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.77/2.21     ) ) ],
% 1.77/2.21     [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.77/2.21     [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.77/2.21     [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.77/2.21     [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.77/2.21     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.77/2.21    ,
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.77/2.21    , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'( 
% 1.77/2.21    'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 1.77/2.21    'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 1.77/2.21    'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'( 
% 1.77/2.21    T, U ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W, 
% 1.77/2.21    'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.77/2.21     ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'( 
% 1.77/2.21    'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.77/2.21    ,
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.77/2.21    , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.77/2.21    , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ), 
% 1.77/2.21    'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.77/2.21    ,
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.77/2.21    , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ), 
% 1.77/2.21    'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.77/2.21    , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.77/2.21    , Z, Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), 
% 1.77/2.21    'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.77/2.21     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 1.77/2.21    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.77/2.21    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), 
% 1.77/2.21    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.77/2.21     ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.77/2.21    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 1.77/2.21    'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.77/2.21     ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.77/2.21    U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 1.77/2.21    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 1.77/2.21    'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.77/2.21    , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0, 
% 1.77/2.21    T ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ), 
% 1.77/2.21    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 1.77/2.21    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 
% 1.77/2.21    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 1.77/2.21    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 1.77/2.21    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 
% 1.77/2.21    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 1.77/2.21    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 
% 1.77/2.21    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.77/2.21    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 1.77/2.21    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.77/2.21     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y, 
% 1.77/2.21    Z ), Y, 'tc_set'( Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 1.77/2.21    'c_Inter'( Y, Z ), Z ) ],
% 1.77/2.21     [ 'c_in'( X, 'c_UNIV', Y ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 1.77/2.21    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'( 
% 1.77/2.21    X, Y, Z ), Z ) ],
% 1.77/2.21     [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 1.77/2.21     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 1.77/2.21    'tc_set'( Z ) ) ) ],
% 1.77/2.21     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'( 
% 1.77/2.21    Z ) ) ],
% 1.77/2.21     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'( 
% 1.77/2.21    Z ) ), =( X, Y ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 1.77/2.21    ,
% 1.77/2.21     [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 1.77/2.21     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 1.77/2.21     ) ) ), =( X, Z ) ],
% 1.77/2.21     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 1.77/2.21    'c_in'( X, T, Z ) ],
% 1.77/2.21     [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.77/2.21    , 'tc_set'( Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'( 
% 1.77/2.21    X, Y, 'tc_set'( Z ) ) ],
% 1.77/2.21     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 1.77/2.21    'tc_set'( Z ) ) ), =( Y, X ) ],
% 1.77/2.21     [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ), 
% 1.77/2.21    'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ), 
% 1.77/2.21    'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.77/2.21    , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ), 
% 1.77/2.21    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 1.77/2.21    ,
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.77/2.21    , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X, 
% 1.77/2.21    'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.77/2.21    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X, 
% 1.77/2.21    'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 1.77/2.21     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.77/2.21    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'( 
% 1.77/2.21    'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 1.77/2.21     [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 1.77/2.21    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.77/2.21     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.77/2.21     ), 'tc_prod'( Y, Y ) ) ],
% 1.77/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 1.77/2.21    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
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% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.83/2.21    'class_HOL_Otimes'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_LOrder_Olorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_HOL_Ominus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_LOrder_Olorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_HOL_Ominus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_LOrder_Olorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_HOL_Ominus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_LOrder_Olorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_HOL_Ominus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.83/2.21     ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_LOrder_Olorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_Orderings_Olinorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_HOL_Ominus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.21    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.21    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.21    , 'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.21    , 'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.21    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.21    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.21    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.21    , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.21    , 'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.83/2.21     ],
% 1.83/2.21     [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.83/2.21    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.83/2.21    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
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% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
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% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
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% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.83/2.21    'class_HOL_Oone'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.83/2.21    'class_HOL_Ominus'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 1.83/2.21    'class_HOL_Otimes'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 1.83/2.21     ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 1.83/2.21     ],
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% 1.83/2.21    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 1.83/2.21     ) ],
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% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Oring'( X ) ],
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% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
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% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Oring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'( 
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% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__group__add'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'( 
% 1.83/2.21    X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'( 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.83/2.21    'class_HOL_Otimes'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.83/2.21    'class_HOL_Oplus'( X ) ],
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% 1.83/2.21    'class_HOL_Ozero'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Osemiring__0'( X ) ],
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% 1.83/2.21    'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 1.83/2.21    'class_HOL_Otimes'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
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% 1.83/2.21    ,
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% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 1.83/2.21     ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_HOL_Otimes'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 1.83/2.21     ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_HOL_Oone'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_HOL_Otimes'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_HOL_Ozero'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_HOL_Oplus'( X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.83/2.21    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.83/2.21     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.83/2.21    'class_Orderings_Oord'( X ) ],
% 1.83/2.21     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.83/2.21    'class_Orderings_Oorder'( X ) ],
% 1.83/2.21     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.83/2.21    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.83/2.21    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.83/2.21     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.83/2.21    'class_LOrder_Olorder'( X ) ],
% 1.83/2.21     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.83/2.21    'class_Orderings_Olinorder'( X ) ],
% 1.83/2.21     [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ],
% 1.83/2.21     [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 'c_plus'( 
% 1.83/2.21    'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 'c_Suc'( Y ) )
% 1.83/2.21    , 'tc_nat' ) ) ],
% 1.83/2.21     [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X ) ) ],
% 1.83/2.21     [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ],
% 1.83/2.21     [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 1.83/2.21    'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.83/2.21     [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.83/2.21    , Y ) ],
% 1.83/2.21     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 1.83/2.21    'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ],
% 1.83/2.21     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 1.83/2.21    'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ],
% 1.83/2.21     [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), 
% 1.83/2.21    'c_insert'( X, 'c_emptyset', Y ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X, 
% 1.83/2.21    'c_Datatype_Ooption_ONone' ) ],
% 1.83/2.21     [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 'c_emptyset' )
% 1.83/2.21     ],
% 1.83/2.21     [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'( 
% 1.83/2.21    Z, Y ) ) ), =( X, Z ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 'tc_Datatype_Ooption'( X
% 1.83/2.21     ) ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 1.83/2.21    'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T ) ), 'c_0' )
% 1.83/2.21     ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( Y, Z ) ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( Z, Y ) ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_Datatype_Ounit_Ounit__case'( X, 'c_Product__Type_OUnity', Y ), X
% 1.83/2.21     ) ],
% 1.83/2.21     [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 'c_Product__Type_OUnity', Y ), X
% 1.83/2.21     ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 'tc_Product__Type_Ounit' )
% 1.83/2.21    , 'c_0' ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.83/2.21     [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X, Y, Z, T ), 
% 1.83/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.83/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'( 
% 1.83/2.21    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.83/2.21     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 1.83/2.21    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.83/2.21     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.83/2.21     [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X, Y, Z, T ), 
% 1.83/2.21    'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.83/2.21    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'( 
% 1.83/2.21    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.83/2.21     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 1.83/2.21    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.83/2.21     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.83/2.21    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.83/2.21     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 'c_emptyset' ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.83/2.21    'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ],
% 1.83/2.21     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.83/2.21    'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.83/2.21    , Y, Z, T ), Z, T ) ) ],
% 1.83/2.21     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.83/2.21    'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.83/2.21    , Y, Z, T ), Z, T ) ) ],
% 1.83/2.21     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.83/2.21    'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ],
% 1.83/2.21     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.83/2.21    'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ), 
% 1.83/2.21    'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ],
% 1.83/2.21     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.83/2.21    'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ), 
% 1.83/2.21    'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.83/2.21     ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ],
% 1.83/2.21     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 1.83/2.21    'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.83/2.21     [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 1.83/2.21    'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.83/2.21     [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.83/2.21     [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ],
% 1.83/2.21     [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.83/2.21     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 'tc_nat' ), 'c_0' )
% 1.83/2.21     ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', Y, 'tc_nat' )
% 1.83/2.21     ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y, 
% 1.83/2.21    'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z, 
% 1.83/2.21    'tc_nat' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X, 
% 1.83/2.21    'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z, 
% 1.83/2.21    'tc_nat' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y, 
% 1.83/2.21    'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z, 
% 1.83/2.21    'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y, 
% 1.83/2.21    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y, 
% 1.83/2.21    'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z, 
% 1.83/2.21    'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X, 
% 1.83/2.21    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 'tc_nat' ), 
% 1.83/2.21    'c_1' ) ],
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.83/2.21     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 1.83/2.21    'c_Suc'( 'c_0' ) ) ],
% 1.83/2.21     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), 'c_0' ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ), 
% 1.83/2.21    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), 
% 1.83/2.21    'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'( 
% 1.83/2.21    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.83/2.21     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, Y, 
% 1.83/2.21    'tc_nat' ), X ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_Divides_Oop_Amod'( Y
% 1.83/2.21    , X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ), 
% 1.83/2.21    'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 'tc_nat' ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ), 
% 1.83/2.21    'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 
% 1.83/2.21    'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.83/2.21     [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =( 
% 1.83/2.21    X, 'c_emptyset' ) ],
% 1.83/2.21     [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =( 
% 1.83/2.21    X, 'c_emptyset' ) ],
% 1.83/2.21     [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.83/2.21     ) ],
% 1.83/2.21     [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 1.83/2.21    'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.83/2.21     [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 1.83/2.21    'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.83/2.21     [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.83/2.21     ) ],
% 1.83/2.21     [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 1.83/2.21    'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.83/2.21     [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 1.83/2.21    'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft', 
% 1.83/2.21    'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight', 
% 1.83/2.21    'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.83/2.21    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( Y
% 1.83/2.21    , 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'( 
% 1.83/2.21    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 1.83/2.21    'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z, 
% 1.83/2.21    'c_Finite__Set_OMax'( Y, X ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.83/2.21    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.83/2.21    'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ), =( Z, 
% 1.83/2.21    'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.83/2.21    'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( 
% 1.83/2.21    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.83/2.21    'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'( 
% 1.83/2.21    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.83/2.21    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( 
% 1.83/2.21    'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), =( Z, 
% 1.83/2.21    'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.83/2.21    'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'( 
% 1.83/2.21    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( 
% 1.83/2.21    'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'( 
% 1.83/2.21    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMax'( 
% 1.83/2.21    'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.83/2.21    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.83/2.21    T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T, Y, X ), =( Z, 
% 1.83/2.21    'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.83/2.21    'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z, 
% 1.83/2.21    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z, 
% 1.83/2.21    'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z, 
% 1.83/2.21    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.83/2.21    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( T, 
% 1.83/2.21    'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), =( Z, 
% 1.83/2.21    'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.83/2.21    'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z, 
% 1.83/2.21    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z, 
% 1.83/2.21    'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z, 
% 1.83/2.21    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'( 
% 1.83/2.21    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 1.83/2.21    'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z, 
% 1.83/2.21    'c_Finite__Set_OMin'( Y, X ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.83/2.21    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( 
% 1.83/2.21    'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMin'( 
% 1.83/2.21    'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( =( 
% 1.83/2.21    'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 
% 1.83/2.21    =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.83/2.21     [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =( 
% 1.83/2.21    'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( Z, 
% 1.83/2.21    X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y ), 'c_Suc'( 
% 1.83/2.21    'c_Finite__Set_Ocard'( X, Y ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.83/2.21    'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ), 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z, 
% 1.83/2.21    'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.83/2.21    , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ), 
% 1.83/2.21    'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.83/2.21    'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.83/2.21     ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.83/2.21    'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.83/2.21     ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.83/2.21     ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'( 
% 1.83/2.21    Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X, 
% 1.83/2.21    Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.83/2.21    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.83/2.21    , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.83/2.21     ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.83/2.21    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.83/2.21    Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( 
% 1.83/2.21    'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y, 
% 1.83/2.21    'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.83/2.21    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 1.83/2.21    'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.83/2.21     ), Y ) ],
% 1.83/2.21     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.83/2.21    'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 1.83/2.21    'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.83/2.21     ), Y ) ],
% 1.83/2.21     [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ],
% 1.83/2.21     [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.83/2.21     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat', 'tc_nat' ) )
% 1.83/2.21    , 'c_1' ) ],
% 1.83/2.21     [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat', 'tc_nat' ) )
% 1.83/2.21    , 'c_1' ) ],
% 1.83/2.21     [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'( 
% 1.83/2.21    X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.83/2.21    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.83/2.21     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ), X ) ],
% 1.83/2.21     [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), X ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.83/2.21     ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.83/2.21    'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.83/2.21     ), 'c_1' ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.83/2.21    , X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.83/2.21    , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, X ), 'c_1', X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~( 
% 1.83/2.21    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'( 
% 1.83/2.21    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.83/2.21    , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', 
% 1.83/2.21    X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.21    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.83/2.21    , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 'c_1', X
% 1.83/2.21     ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obit_OB1' ), Y ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obit_OB1' ) ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.83/2.21    , X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.83/2.21    , X ), X ) ), =( 'c_1', 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), 
% 1.83/2.21    X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.21    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.21    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.83/2.21     ), 'c_1' ) ],
% 1.83/2.21     [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.83/2.21    , 'tc_IntDef_Oint' ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.83/2.21    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.83/2.21     ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_IntDef_Onat'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ), 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ],
% 1.83/2.21     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_IntDef_Oof__int'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X ), 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 
% 1.83/2.21    'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Suc'( 'c_0'
% 1.83/2.21     ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.83/2.21     [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.83/2.21    , 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ],
% 1.83/2.21     [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1', 
% 1.83/2.21    'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( X, 'c_plus'( 
% 1.83/2.21    Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, 'c_minus'( 
% 1.83/2.21    Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 
% 1.83/2.21    'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y ), 
% 1.83/2.21    'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 'c_IntDef_OAbs__Integ'( X )
% 1.83/2.21     ), X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_0', 
% 1.83/2.21    'c_IntDef_OInts', X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_1', 
% 1.83/2.21    'c_IntDef_OInts', X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'( 
% 1.83/2.21    'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'( 
% 1.83/2.21    'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 'c_IntDef_OInts', X
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.21    'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'( 
% 1.83/2.21    'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'( 
% 1.83/2.21    'c_0', 'c_IntDef_ONats', X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'( 
% 1.83/2.21    'c_1', 'c_IntDef_ONats', X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~( 
% 1.83/2.21    'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.83/2.21    , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~( 
% 1.83/2.21    'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.83/2.21    , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.83/2.21     [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_IntDef_Oint'( X ) ) ],
% 1.83/2.21     [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 
% 1.83/2.21    'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 
% 1.83/2.21    'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'( 
% 1.83/2.21    'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.83/2.21    , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 1.83/2.21    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.83/2.21    'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 
% 1.83/2.21    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 
% 1.83/2.21    'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset', 
% 1.83/2.21    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 
% 1.83/2.21    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'( 
% 1.83/2.21    'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 
% 1.83/2.21    'tc_nat' ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_0', 'c_1' ) ) ],
% 1.83/2.21     [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ],
% 1.83/2.21     [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 'c_IntDef_Oint'( 
% 1.83/2.21    X ), 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.83/2.21     [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ],
% 1.83/2.21     [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ), 
% 1.83/2.21    =( X, 'c_0' ) ],
% 1.83/2.21     [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 'tc_IntDef_Oint' ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 
% 1.83/2.21    'c_IntDef_Onat'( X ) ), X ) ],
% 1.83/2.21     [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 
% 1.83/2.21    'c_IntDef_Onat'( X ) ), 'c_0' ) ],
% 1.83/2.21     [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 'c_Pair'( 
% 1.83/2.21    X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.83/2.21     ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 
% 1.83/2.21    'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z
% 1.83/2.21    , T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.83/2.21    'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 
% 1.83/2.21    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_plus'( 
% 1.83/2.21    X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ],
% 1.83/2.21     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 'tc_nat' ) ) ), 
% 1.83/2.21    'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z, Y, 
% 1.83/2.21    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.83/2.21    'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'( 
% 1.83/2.21    'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.83/2.21     [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Onat'( 
% 1.83/2.21    X ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.83/2.21     ) ), 'c_0' ) ],
% 1.83/2.21     [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ],
% 1.83/2.21     [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ],
% 1.83/2.21     [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_IntDef_Oint'( 'c_0' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 'c_IntDef_Oint'( Y ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) )
% 1.83/2.21    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_0', 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 
% 1.83/2.21    'c_IntDef_Oof__int'( 'c_0', X ) ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.21    'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, 
% 1.83/2.21    'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.21    'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.83/2.21    , 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 
% 1.83/2.21    'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.83/2.21    , Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), 
% 1.83/2.21    X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.83/2.21    'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.83/2.21    'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.83/2.21    'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.83/2.21    'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.83/2.21    'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.83/2.21    , X ) ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', 
% 1.83/2.21    'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.21    Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X
% 1.83/2.21     ), 'c_0', X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 
% 1.83/2.21    'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.21    Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 
% 1.83/2.21    'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', 
% 1.83/2.21    'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.21    'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0'
% 1.83/2.21    , X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 'c_less'( 
% 1.83/2.21    Y, Z, 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, Z, 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 
% 1.83/2.21    'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.83/2.21    'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.83/2.21    'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'( 
% 1.83/2.21    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.83/2.21    'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ), 
% 1.83/2.21    'c_NatArith_Oof__nat'( Y, X ) ) ],
% 1.83/2.21     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'( 
% 1.83/2.21    'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ), 
% 1.83/2.21    'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_IntDef_Oint'( 
% 1.83/2.21    X ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 'c_less'( 
% 1.83/2.21    'c_0', X, 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 
% 1.83/2.21    'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.83/2.21     [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_IntDef_Oint'( 
% 1.83/2.21    X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.83/2.21     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_IntDef_Oint'( X ), 
% 1.83/2.21    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.83/2.21    , 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.83/2.21    , 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y, 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y
% 1.83/2.21     ), 'tc_nat' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'( 
% 1.83/2.21    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegDivAlg'( 
% 1.83/2.21    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'( 
% 1.83/2.21    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'( 
% 1.83/2.21    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.83/2.21     ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'( 
% 1.83/2.21    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'( 
% 1.83/2.21    'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.83/2.21    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.83/2.21     ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'( 
% 1.83/2.21    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegDivAlg'( 
% 1.83/2.21    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 1.83/2.21    'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'( 
% 1.83/2.21    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.83/2.21     ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( 
% 1.83/2.21    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OposDivAlg'( 
% 1.83/2.21    'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.83/2.21    , 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.83/2.21    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_Numeral_Onumber__of'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.83/2.21    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 
% 1.83/2.21    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.83/2.21     [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.83/2.21    , 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X, 
% 1.83/2.21    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 
% 1.83/2.21    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.83/2.21     ],
% 1.83/2.21     [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 
% 1.83/2.21    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_1', 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 
% 1.83/2.21    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'( 
% 1.83/2.21    'c_Pair'( 'c_1', 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.21    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 
% 1.83/2.21    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 1.83/2.21    'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.21    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.21    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ) ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.83/2.21    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 
% 1.83/2.21    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.83/2.21     [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 'c_times'( X, 
% 1.83/2.21    'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ],
% 1.83/2.21     [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint' )
% 1.83/2.21     ) ],
% 1.83/2.21     [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 
% 1.83/2.21    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.83/2.21     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.83/2.21     ],
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.83/2.21     ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.83/2.21     ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.83/2.21     ],
% 1.83/2.21     [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.21    , 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 'c_div'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_plus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' )
% 1.83/2.21    , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.83/2.21     [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.83/2.21    'tc_IntDef_Oint' ) ) ],
% 1.83/2.21     [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 'tc_IntDef_Oint' )
% 1.83/2.21     ) ],
% 1.83/2.21     [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), X, 
% 1.83/2.21    'tc_IntDef_Oint' ), Y ) ],
% 1.83/2.21     [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.83/2.21    'tc_IntDef_Oint' ), Y ) ],
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.83/2.21     ],
% 1.83/2.21     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.83/2.21     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.83/2.21    , =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' )
% 1.83/2.21    , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.21    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 
% 1.83/2.21    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', 
% 1.83/2.21    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X, 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 'c_0' ) ],
% 1.83/2.21     [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.21    'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 1.83/2.21    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.83/2.21    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 1.83/2.21    'tc_IntDef_Oint' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.83/2.21    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.83/2.21    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.83/2.21    'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), Y, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X, 
% 1.83/2.21    'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.83/2.21     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 'c_LOrder_Ojoin'( Y, Y
% 1.83/2.21    , X ), Y ) ],
% 1.83/2.21     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 'c_LOrder_Omeet'( Y, Y
% 1.83/2.21    , X ), Y ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.83/2.21    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.83/2.21     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.83/2.21    Z, Z ) ), =( X, T ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.83/2.21    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.83/2.21     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.83/2.21    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 1.83/2.21    Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.83/2.21    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.83/2.21     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y, 
% 1.83/2.21    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.83/2.21    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.83/2.21     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.83/2.21    , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 
% 1.83/2.21    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y, 
% 1.83/2.21    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( =( 
% 1.83/2.21    'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W, 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.83/2.21    , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 1.83/2.21    Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.83/2.21     ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.83/2.21    , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 1.83/2.21    Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.83/2.21    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 1.83/2.21    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.83/2.21    , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Oset'( X, 
% 1.83/2.21    'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Olist_ONil', 
% 1.83/2.21    'c_List_Oconcat'( X, Y ) ) ],
% 1.83/2.21     [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.83/2.21     ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ],
% 1.83/2.21     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X, 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y, 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil', 
% 1.83/2.21    'c_List_Olist_ONil', X ) ) ],
% 1.83/2.21     [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X, 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.83/2.21    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 1.83/2.21    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.83/2.21    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 1.83/2.21    Z ) ) ), =( X, T ) ],
% 1.83/2.21     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.83/2.21    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 1.83/2.21    Z ) ) ), =( Y, U ) ],
% 1.83/2.21     [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( X, 
% 1.83/2.21    'c_append'( Y, T, Z ), Z ) ) ],
% 1.83/2.21     [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 'c_List_Obutlast'( X, Y )
% 1.83/2.21    , 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil', Y )
% 1.83/2.21    , Y ), X ) ],
% 1.83/2.21     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.83/2.21    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.83/2.21    , Y ) ) ), =( X, Z ) ],
% 1.83/2.21     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.83/2.21    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.83/2.21    , Y ) ) ), =( T, U ) ],
% 1.83/2.21     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.83/2.21    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.83/2.21    , Y ) ) ), =( T, U ) ],
% 1.83/2.21     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.83/2.21    'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.83/2.21    , Y ) ) ), =( X, Z ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 1.83/2.21    'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 
% 1.83/2.21    'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ), 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.83/2.21     [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.83/2.21     [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, Z ), Z
% 1.83/2.21     ), Y ) ],
% 1.83/2.21     [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.83/2.21     ],
% 1.83/2.21     [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y
% 1.83/2.21     ), Y ), 'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'( 
% 1.83/2.21    'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y, 
% 1.83/2.21    'c_List_Obutlast'( X, Z ), Z ) ) ],
% 1.83/2.21     [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 1.83/2.21    'c_List_Olist_ONil', Z ), Z ), Z ), X ) ],
% 1.83/2.21     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 1.83/2.21    =( X, Z ) ],
% 1.83/2.21     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 1.83/2.21    =( Y, T ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 'tc_List_Ochar' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 'tc_List_Olist'( Z )
% 1.83/2.21     ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z ) ) ],
% 1.83/2.21     [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z ) ), Z ), 
% 1.83/2.21    'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z ), Z ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ), 
% 1.83/2.21    'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Oset'( X, 
% 1.83/2.21    'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Oconcat'( X, Y
% 1.83/2.21     ), 'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.83/2.21     ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ), 
% 1.83/2.21    'c_List_Odistinct'( X, Y ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate1'( 
% 1.83/2.21    X, Y ), Y ) ],
% 1.83/2.21     [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), ~( 
% 1.83/2.21    'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), 
% 1.83/2.21    'c_List_Odistinct'( Y, Z ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.83/2.21    'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 1.83/2.21    'c_List_Odistinct'( X, Z ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 1.83/2.21    'c_List_Odistinct'( Y, Z ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 'c_inter'( 
% 1.83/2.21    'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z, Y ) ), ~( 
% 1.83/2.21    =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y ), 
% 1.83/2.21    'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Odrop'( Z
% 1.83/2.21    , X, Y ), Y ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Oremove1'( 
% 1.83/2.21    Z, X, Y ), Y ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ), 
% 1.83/2.21    'c_List_Odistinct'( X, Y ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orev'( X
% 1.83/2.21    , Y ), Y ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) ), 
% 1.83/2.21    'c_List_Odistinct'( Y, Z ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate'( 
% 1.83/2.21    Z, X, Y ), Y ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Osublist'( 
% 1.83/2.21    X, Z, Y ), Y ) ],
% 1.83/2.21     [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Otake'( Z
% 1.83/2.21    , X, Y ), Y ) ],
% 1.83/2.21     [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ],
% 1.83/2.21     [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.83/2.21     ],
% 1.83/2.21     [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ],
% 1.83/2.21     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =( 
% 1.83/2.21    'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.21    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.21    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =( 
% 1.83/2.21    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.21     [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.83/2.21    , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.83/2.21     [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 'c_append'( 
% 1.83/2.21    'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.83/2.21    , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.83/2.21     [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'( 
% 1.83/2.21    'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.83/2.21     [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 1.83/2.21    'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z, 
% 1.83/2.21    'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 1.83/2.21    'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ],
% 1.83/2.21     [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 'c_List_Oupt'( 
% 1.83/2.21    'c_plus'( Y, X, 'tc_nat' ), Z ) ) ],
% 1.83/2.21     [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 1.83/2.21     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 'c_List_Ohd'( X
% 1.83/2.21    , Y ), 'c_List_Otl'( X, Y ), Y ), X ) ],
% 1.83/2.21     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( X, Y, Z ), Z
% 1.83/2.21     ), 'c_List_Ohd'( X, Z ) ) ],
% 1.83/2.21     [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X, 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 1.83/2.21     ) ],
% 1.83/2.21     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 'c_List_Oupt'( X, Y
% 1.83/2.21     ), 'tc_nat' ), X ) ],
% 1.83/2.21     [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( X, Z ), Y, Z
% 1.83/2.21     ) ) ],
% 1.83/2.21     [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.83/2.21     [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 1.83/2.21    'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ],
% 1.83/2.21     [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 
% 1.83/2.21    Y ), X ) ],
% 1.83/2.21     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_List_Olist_OCons'( 
% 1.83/2.21    Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.83/2.21     [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y ), Y ), 
% 1.83/2.21    'c_List_Olast'( X, Y ) ) ],
% 1.83/2.21     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_append'( Y, X, Z )
% 1.83/2.21    , Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.83/2.21     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.83/2.21    , =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y, Z
% 1.83/2.21     ) ) ],
% 1.83/2.21     [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X, 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 1.83/2.21    , Y ) ],
% 1.83/2.21     [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 1.83/2.21    'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ],
% 1.83/2.21     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Oupt'( X, 
% 1.83/2.21    Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ],
% 1.83/2.21     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X, 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.83/2.21     ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( Z ) ), 
% 1.83/2.21    'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 
% 1.83/2.21    'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.83/2.21    'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.83/2.21     ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 'tc_List_Olist'( Z ) ), 
% 1.83/2.21    'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 1.83/2.21    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.83/2.21     [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.83/2.21    , =( X, 'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ), 
% 1.83/2.21    'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.83/2.21    , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X, 
% 1.83/2.21    Y ), X ) ],
% 1.83/2.21     [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 1.83/2.21    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 1.83/2.21    'tc_List_Olist'( Y ) ) ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 'tc_List_Olist'( Z )
% 1.83/2.21     ), X ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.83/2.21    'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.83/2.21    'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 'tc_List_Olist'( Z ) )
% 1.83/2.21    , 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 'tc_List_Olist'( Z ) ), 
% 1.83/2.21    'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat'
% 1.83/2.21     ) ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 1.83/2.21    'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.83/2.21     ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 'tc_nat' ) )
% 1.83/2.21    , 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 'tc_List_Olist'( 
% 1.83/2.21    'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( X, 
% 1.83/2.21    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 
% 1.83/2.21    'tc_nat' ) ) ],
% 1.83/2.21     [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.83/2.21    'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'( 
% 1.83/2.21    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.83/2.21    'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ), 
% 1.83/2.21    'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ],
% 1.83/2.21     [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z )
% 1.83/2.21    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z )
% 1.83/2.21    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.83/2.21    'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'( 
% 1.83/2.21    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.83/2.21    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.83/2.21     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.83/2.21    Z, Z ) ), =( X, T ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.83/2.21    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.83/2.21     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.83/2.21    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 1.83/2.21    Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 1.83/2.21    'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 'c_List_Olist_OCons'( Y, W, Z
% 1.83/2.21     ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z
% 1.83/2.21     ), 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.83/2.21     ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.83/2.21    , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ), 
% 1.83/2.21    'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 
% 1.83/2.21    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.83/2.21     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.83/2.21     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.83/2.21     ) ), =( X, T ) ],
% 1.83/2.21     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.83/2.21     ) ), =( Y, U ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z
% 1.83/2.21     ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_0'
% 1.83/2.21     ), 'tc_nat' ) ) ],
% 1.83/2.21     [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ), 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Olist__inter'( 
% 1.83/2.21    'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist_OCons'( X, 
% 1.83/2.21    'c_List_Olist__inter'( T, Y, Z ), Z ) ) ],
% 1.83/2.21     [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Olist__inter'( 
% 1.83/2.21    'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist__inter'( T, Y, Z )
% 1.83/2.21     ) ],
% 1.83/2.21     [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z ), 
% 1.83/2.21    'c_List_Olist_ONil' ) ],
% 1.83/2.21     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z, 
% 1.83/2.21    'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ],
% 1.83/2.21     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.83/2.21    , =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ]
% 1.83/2.21    ,
% 1.83/2.21     [ =( 'c_List_Olist__update'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, 
% 1.83/2.21    T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), U, T ), 'c_append'( X
% 1.83/2.21    , 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.83/2.21     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.83/2.21    , =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, T, Z ), X, U, 
% 1.83/2.21    Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ],
% 1.83/2.21     [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 'c_insert'( 
% 1.83/2.21    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ), 
% 1.83/2.21    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'( 
% 1.83/2.21    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ],
% 1.83/2.21     [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 
% 1.83/2.21    'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.83/2.21     ) ],
% 1.83/2.21     [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.83/2.21     [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 'c_insert'( 
% 1.83/2.21    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ],
% 1.83/2.21     [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 'tc_set'( Z ) ), Z )
% 1.83/2.21    , 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), Z ) ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3, 
% 1.83/2.21    V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.83/2.21     [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.83/2.21    , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 'tc_List_Onibble' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 'tc_List_Onibble' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 'tc_List_Onibble' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 'tc_List_Onibble' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 'tc_List_Onibble' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 'tc_List_Onibble' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 'tc_List_Onibble' ), 
% 1.83/2.21    'c_0' ) ],
% 1.83/2.21     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 'tc_List_Onibble' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 'tc_List_Onibble' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 'tc_List_Onibble' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 'tc_List_Onibble' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 'tc_List_Onibble' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 'tc_List_Onibble' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 'tc_List_Onibble' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 'tc_List_Onibble' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 'tc_List_Onibble' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T ), T ), T ) )
% 1.83/2.22    , 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 1.83/2.22    , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 1.83/2.22     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0', Z ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ), 
% 1.83/2.22    'c_List_Onth'( Y, T, Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =( 
% 1.83/2.22    'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 'c_Numeral_Onumber__of'( 
% 1.83/2.22    X, 'tc_nat' ), T ), Y ) ],
% 1.83/2.22     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.83/2.22    , 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ],
% 1.83/2.22     [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 'c_Nat_Osize'( X, 
% 1.83/2.22    'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, T, Z ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_Nat_Osize'( Z, 
% 1.83/2.22    'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Odrop'( X
% 1.83/2.22    , Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 'tc_nat' ), T ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.83/2.22    , =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X, T, U ), Y, 
% 1.83/2.22    U ), 'c_List_Onth'( Z, Y, U ) ) ],
% 1.83/2.22     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.83/2.22    , 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ],
% 1.83/2.22     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Oreplicate'( 
% 1.83/2.22    Y, Z, T ), X, T ), Z ) ],
% 1.83/2.22     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Otake'( Y, 
% 1.83/2.22    Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =( 
% 1.83/2.22    'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.83/2.22    , ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ), 'tc_nat' ) )
% 1.83/2.22    , =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 'tc_prod'( U, Z ) ), 
% 1.83/2.22    'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y, X, Z ), U, Z ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ],
% 1.83/2.22     [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.83/2.22     [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 1.83/2.22    'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ],
% 1.83/2.22     [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.83/2.22     [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ) ), 
% 1.83/2.22    'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ],
% 1.83/2.22     [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 1.83/2.22     [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X, 
% 1.83/2.22    'c_List_Olist_OCons'( T, Y, Z ), Z ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Oremdups'( 
% 1.83/2.22    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Oremdups'( Y, Z ) ) ],
% 1.83/2.22     [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Oremdups'( 
% 1.83/2.22    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, 
% 1.83/2.22    'c_List_Oremdups'( Y, Z ), Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.83/2.22    'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) ), =( X, 
% 1.83/2.22    'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 'c_List_Olist_ONil', X ) )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 1.83/2.22     ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ) ],
% 1.83/2.22     [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.83/2.22    , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.83/2.22     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_append'( 
% 1.83/2.22    'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Z )
% 1.83/2.22    , Z ) ) ],
% 1.83/2.22     [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'( 
% 1.83/2.22    'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.83/2.22    , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 1.83/2.22    'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.83/2.22     [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 1.83/2.22    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 1.83/2.22    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.83/2.22     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.83/2.22    'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.83/2.22    'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.83/2.22     [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.83/2.22     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, 
% 1.83/2.22    'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z, 
% 1.83/2.22    'c_List_Olist_ONil', Y ) ) ],
% 1.83/2.22     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y
% 1.83/2.22     ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.83/2.22     [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.83/2.22    'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 
% 1.83/2.22    'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ],
% 1.83/2.22     [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'( 
% 1.83/2.22    'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.83/2.22     ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 1.83/2.22     [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 1.83/2.22    'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 
% 1.83/2.22    'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ],
% 1.83/2.22     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.83/2.22     [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.83/2.22     [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_insert'( X
% 1.83/2.22    , 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.83/2.22     [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 'c_List_Oset'( 
% 1.83/2.22    X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 1.83/2.22    'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.83/2.22     [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 1.83/2.22    'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 'c_List_Oremove1'( 
% 1.83/2.22    Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 'c_insert'( Z, 
% 1.83/2.22    'c_emptyset', Y ), 'tc_set'( Y ) ) ) ],
% 1.83/2.22     [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.83/2.22    'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.83/2.22     [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 'c_List_Oset'( Y, 
% 1.83/2.22    Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'( 
% 1.83/2.22    Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'( 
% 1.83/2.22    'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.83/2.22     [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 'c_List_Olist_ONil' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 'c_List_Olist_ONil'
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'( 
% 1.83/2.22    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 1.83/2.22    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'( 
% 1.83/2.22    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 1.83/2.22    'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 'tc_nat' ), Z )
% 1.83/2.22    , 'c_List_Otake'( Y, X, Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =( 
% 1.83/2.22    'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 
% 1.83/2.22    'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.83/2.22    , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.83/2.22    , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z, 
% 1.83/2.22    'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ],
% 1.83/2.22     [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 'c_append'( 
% 1.83/2.22    'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.83/2.22    , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.83/2.22     [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 'c_0'
% 1.83/2.22     ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 1.83/2.22    'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'( 
% 1.83/2.22    'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =( 
% 1.83/2.22    'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 'c_List_Oupt'( X, 
% 1.83/2.22    'c_plus'( X, Y, 'tc_nat' ) ) ) ],
% 1.83/2.22     [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.83/2.22     [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( X, Y, Z ), Z
% 1.83/2.22     ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ],
% 1.83/2.22     [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.83/2.22    'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( X, 'c_Suc'( Y
% 1.83/2.22     ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 'c_List_Olist_OCons'( Y, 
% 1.83/2.22    'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.83/2.22     [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 'c_Suc'( Y ) )
% 1.83/2.22    , 'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 'c_lessequals'( 
% 1.83/2.22    Y, X, 'tc_nat' ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( Y, X ), 
% 1.83/2.22    'c_List_Olist_ONil' ) ],
% 1.83/2.22     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.83/2.22     [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 'c_List_Olist_ONil'
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.83/2.22    'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'( 
% 1.83/2.22    X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.83/2.22     [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 'c_List_Olist_ONil'
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.83/2.22    'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Y )
% 1.83/2.22     ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 'c_List_Ozip'( 
% 1.83/2.22    'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 'c_append'( 
% 1.83/2.22    'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 'tc_prod'( Y, T
% 1.83/2.22     ) ) ) ],
% 1.83/2.22     [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( 
% 1.83/2.22    T, U, W ), Z, W ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, T, 
% 1.83/2.22    'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 'c_Map_Omap__of'( 
% 1.83/2.22    'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 'c_Datatype_Ooption_ONone' ) ), 
% 1.83/2.22    ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( T, 
% 1.83/2.22    'tc_List_Olist'( U ) ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z, 
% 1.83/2.22    'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X, Y ), Y ), =( 
% 1.83/2.22    'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ), 
% 1.83/2.22    'c_Datatype_Ooption_ONone' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X, 
% 1.83/2.22    'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 'tc_nat' ), X, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 'c_minus'( Y, X
% 1.83/2.22    , 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 'tc_nat' ), X, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_Suc'( 
% 1.83/2.22    'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 
% 1.83/2.22    'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 'c_Suc'( 
% 1.83/2.22    'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), 
% 1.83/2.22    'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 'c_minus'( Y, 
% 1.83/2.22    X, 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_minus'( Y, 
% 1.83/2.22    X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 'tc_nat' ), Y, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.83/2.22     ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.83/2.22    'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 'c_NatArith_Oof__nat'( 
% 1.83/2.22    Y, X ), 'c_1', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 'c_0', 
% 1.83/2.22    'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 'c_0', 
% 1.83/2.22    'c_NatArith_Oof__nat'( 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.83/2.22    'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 'tc_nat'
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.83/2.22    'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.83/2.22    'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'( 
% 1.83/2.22    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( Z, Y, 'tc_nat' )
% 1.83/2.22    , X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 'c_NatArith_Oof__nat'( Y
% 1.83/2.22    , X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 1.83/2.22    'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 
% 1.83/2.22    'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 1.83/2.22    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y, Z
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.83/2.22    'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, 
% 1.83/2.22    X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'( 
% 1.83/2.22    Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ), 
% 1.83/2.22    'c_less'( Y, Z, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 
% 1.83/2.22    'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =( 
% 1.83/2.22    'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 'c_times'( 
% 1.83/2.22    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.83/2.22     ), 'c_1' ) ],
% 1.83/2.22     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.83/2.22    , 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_plus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.83/2.22     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y
% 1.83/2.22    , X ), 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 
% 1.83/2.22    'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 
% 1.83/2.22    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ), 
% 1.83/2.22    'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 
% 1.83/2.22    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.22    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.22    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.22    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.83/2.22    X, 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.83/2.22     ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( X ) ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.83/2.22    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.83/2.22    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.83/2.22    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.83/2.22    , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 
% 1.83/2.22    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0'
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 'c_plus'( 
% 1.83/2.22    'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ) ), 'c_0' ) ],
% 1.83/2.22     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.83/2.22     ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( X
% 1.83/2.22     ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( 
% 1.83/2.22    X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.83/2.22    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.83/2.22    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.83/2.22    , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.83/2.22     ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.83/2.22    'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.83/2.22    , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.83/2.22     ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( 
% 1.83/2.22    Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.83/2.22    , 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.83/2.22     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.22    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.83/2.22     ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( X, Y ), 'tc_nat' ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' ), 'c_0' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.83/2.22    'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.83/2.22    'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.83/2.22     [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 
% 1.83/2.22    'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.83/2.22     ), 'tc_IntDef_Oint' ) ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.83/2.22    'tc_nat' ), X ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Power_Orecpower'( X ) ), 
% 1.83/2.22    =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( Y, X ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.83/2.22    'tc_nat' ), X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'( 
% 1.83/2.22    'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.83/2.22    , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.83/2.22    'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.83/2.22     [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.83/2.22     ) ],
% 1.83/2.22     [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'c_IntDef_Onat'( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.83/2.22    'tc_nat' ), X ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( 
% 1.83/2.22    'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), X
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.83/2.22     [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 'tc_nat' ), 'c_div'( 
% 1.83/2.22    X, 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.83/2.22     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.83/2.22    , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.83/2.22    , 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.83/2.22     ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.83/2.22    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.83/2.22     ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.83/2.22    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.83/2.22    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.83/2.22    , X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.83/2.22    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), 
% 1.83/2.22    X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.83/2.22     ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.83/2.22     ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.83/2.22    , 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 1.83/2.22    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.83/2.22    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 
% 1.83/2.22    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'( 
% 1.83/2.22    T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, 
% 1.83/2.22    X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.83/2.22    , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.83/2.22    , X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'( 
% 1.83/2.22    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 
% 1.83/2.22    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.83/2.22     ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.83/2.22    , X ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.83/2.22    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.83/2.22     ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.83/2.22    , T, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'( 
% 1.83/2.22    'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.83/2.22    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.83/2.22    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.83/2.22    , X ), 'c_less'( 'c_0', Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.83/2.22    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 1.83/2.22    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.83/2.22    Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.83/2.22     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.83/2.22    , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.83/2.22    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.83/2.22    'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.83/2.22    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.83/2.22    , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.83/2.22     ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.83/2.22     ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.83/2.22     ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.83/2.22    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.83/2.22    , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.83/2.22     ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.83/2.22     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.83/2.22     ) ), ~( =( 'c_uminus'( Y, X ), 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.83/2.22     ) ), =( 'c_uminus'( 'c_uminus'( 'c_1', X ), X ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Ofield'( 
% 1.83/2.22    X ) ), =( 'c_HOL_Oinverse'( 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.83/2.22    'c_divide'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'( 
% 1.83/2.22    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'( 
% 1.83/2.22    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.83/2.22    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'( 
% 1.83/2.22    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.83/2.22    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.83/2.22    , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.83/2.22    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 
% 1.83/2.22    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 1.83/2.22    T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.83/2.22    , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.83/2.22    , X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 1.83/2.22    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.83/2.22    , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.83/2.22     ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.83/2.22     ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.83/2.22    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.83/2.22     ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), 
% 1.83/2.22    X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 1.83/2.22    T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y, 
% 1.83/2.22    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.83/2.22     ), X ) ],
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.83/2.22     ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'( 
% 1.83/2.22    X ) ), =( 'c_times'( 'c_minus'( Y, Z, X ), 'c_Numeral_Onumber__of'( T, X
% 1.83/2.22     ), X ), 'c_minus'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z, 
% 1.83/2.22    X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z, 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.83/2.22    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y, 
% 1.83/2.22    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.83/2.22    'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.83/2.22     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.83/2.22    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.83/2.22    , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.83/2.22    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'( 
% 1.83/2.22    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.83/2.22    , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.83/2.22    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.83/2.22    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'( 
% 1.83/2.22    Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.83/2.22    , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.83/2.22    , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), 
% 1.83/2.22    X ), X ) ],
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.83/2.22    , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, 
% 1.83/2.22    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( 
% 1.83/2.22    'c_divide'( 'c_1', Y, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.83/2.22    , Y, X ) ],
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ), 
% 1.83/2.22    'c_1', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( 
% 1.83/2.22    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'( 
% 1.83/2.22    'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.22     [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'c_1' ) ],
% 1.83/2.22     [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 
% 1.83/2.22    'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.83/2.22    , 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.83/2.22    , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.83/2.22    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.83/2.22    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.83/2.22    'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.83/2.22    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.83/2.22    'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.83/2.22    , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.83/2.22    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.83/2.22    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.83/2.22    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 1.83/2.22    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.83/2.22    , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.83/2.22    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.83/2.22    , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.83/2.22    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.83/2.22    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z, 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'( 
% 1.83/2.22    X ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X
% 1.83/2.22     ), X ), 'c_minus'( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'( 
% 1.83/2.22    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.83/2.22    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.83/2.22    , X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.83/2.22     ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.83/2.22    , Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', 
% 1.83/2.22    X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.83/2.22    , Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 1.83/2.22    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 1.83/2.22    'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 1.83/2.22    'c_0', X ), 'c_less'( 'c_0', Z, X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.83/2.22    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 1.83/2.22    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ],
% 1.83/2.22     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.83/2.22     [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 
% 1.83/2.22    'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 1.83/2.22    'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ), 
% 1.83/2.22    'c_Suc'( Y ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.83/2.22    , 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.83/2.22    , 'tc_nat' ) ],
% 1.83/2.22     [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 'c_minus'( X, 'c_Suc'( 
% 1.83/2.22    'c_0' ), 'tc_nat' ) ), X ) ],
% 1.83/2.22     [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.83/2.22     [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.83/2.22     [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y, 
% 1.83/2.22    'tc_nat' ) ) ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 
% 1.83/2.22    'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.83/2.22     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_minus'( X, Y
% 1.83/2.22    , 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, 'c_Suc'( 
% 1.83/2.22    Y ), 'tc_nat' ), X, 'tc_nat' ) ],
% 1.83/2.22     [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( X
% 1.83/2.22    , 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 'c_lessequals'( X, Y, 
% 1.83/2.22    'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y, 'tc_nat' )
% 1.83/2.22    , 'c_0' ) ],
% 1.83/2.22     [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.83/2.22     [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.83/2.22     [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X, 
% 1.83/2.22    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 'c_minus'( Y, X
% 1.83/2.22    , 'tc_nat' ), 'tc_nat' ), Y ) ],
% 1.83/2.22     [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.83/2.22     [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.83/2.22     [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.83/2.22     [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.83/2.22     [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.83/2.22     [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 1.83/2.22    'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ],
% 1.83/2.22     [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 1.83/2.22    'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ],
% 1.83/2.22     [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 'c_times'( X, 
% 1.83/2.22    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ) ) ), 
% 1.83/2.22    =( Y, Z ), =( X, 'c_0' ) ],
% 1.83/2.22     [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 'tc_nat' ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ) ) ), 
% 1.83/2.22    =( X, Z ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 'tc_nat' ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( X, 'c_1' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( Y, 'c_1' )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ],
% 1.83/2.22     [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ), =( X, 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( X, 
% 1.83/2.22    Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.83/2.22    Y, Z, 'tc_nat' ) ],
% 1.83/2.22     [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( X, Y, 
% 1.83/2.22    'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( Z, X
% 1.83/2.22    , 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( Y, 
% 1.83/2.22    X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.83/2.22    Y, Z, 'tc_nat' ) ],
% 1.83/2.22     [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( Y, X, 
% 1.83/2.22    'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( X, Z
% 1.83/2.22    , 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.83/2.22    , 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.83/2.22    , 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ), 
% 1.83/2.22    'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.83/2.22    , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.83/2.22    , 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ), 
% 1.83/2.22    'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.83/2.22    'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.83/2.22    'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.83/2.22     ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ) ) ), =( Y
% 1.83/2.22    , Z ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_plus'( Z, X
% 1.83/2.22    , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X, 'tc_nat' )
% 1.83/2.22    , 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ), =( X
% 1.83/2.22    , Z ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.83/2.22     [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( X, 'c_1' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_1' )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_1', Y
% 1.83/2.22    , 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( Y, X, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 'c_times'( X, 
% 1.83/2.22    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.83/2.22     [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y, 
% 1.83/2.22    'tc_nat' ) ) ) ],
% 1.83/2.22     [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.83/2.22    'c_less'( Y, X, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_minus'( Y, X, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'c_Numeral_OMin' ) ],
% 1.83/2.22     [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB0' ), 
% 1.83/2.22    'c_Numeral_OPls' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.83/2.22    , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.83/2.22    Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.83/2.22     ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.83/2.22    Y, Z ), X ), T, X ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.83/2.22    , 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X
% 1.83/2.22    , Y ), Z ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.83/2.22    , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.83/2.22    , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ), 
% 1.83/2.22    'c_Numeral_Obin__pred'( X ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ), 
% 1.83/2.22    'c_Numeral_Obin__pred'( X ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_Obin__minus'( Y ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 'c_1', X ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.22    'c_Numeral_Obin__minus'( Z ) ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0'
% 1.83/2.22     ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1'
% 1.83/2.22     ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 'c_Numeral_Obin__minus'( 
% 1.83/2.22    X ) ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 'c_Numeral_OPls' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.83/2.22    , Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X, Y ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.83/2.22    , Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.83/2.22    , Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ), 
% 1.83/2.22    'c_Numeral_Obin__minus'( X ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 'c_Numeral_OPls' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.83/2.22     ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 'c_Numeral_Obit_OB1' )
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.83/2.22     ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 'c_Numeral_OMin' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~( 
% 1.83/2.22    'c_IntDef_Oiszero'( 'c_1', X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ), 
% 1.83/2.22    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.22    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.22    'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.22    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.22    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.83/2.22    , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.83/2.22    , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.83/2.22    , X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.83/2.22    , X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.83/2.22    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.22    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.83/2.22    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.83/2.22    'c_1', X ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.83/2.22     ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.83/2.22     ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 'c_Numeral_Obit_OB0' )
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 'c_Numeral_OPls' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.83/2.22     [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.83/2.22     [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 'c_uminus'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.83/2.22     ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OPls', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), X ), 'c_1' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( 
% 1.83/2.22    'c_uminus'( Y, X ), Y, X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 'c_0'
% 1.83/2.22    , 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 'c_0', 
% 1.83/2.22    'c_HOL_Oabs'( 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.83/2.22    'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ), 
% 1.83/2.22    X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 
% 1.83/2.22    'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.83/2.22    'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.83/2.22    'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 
% 1.83/2.22    'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( Y, 
% 1.83/2.22    X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( Y, 
% 1.83/2.22    'c_0', X ), Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.22    , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( Z, T, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.22    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ), 
% 1.83/2.22    'c_plus'( T, Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.22    , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( Y, T, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.22    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ), 
% 1.83/2.22    'c_plus'( Z, T, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'( 
% 1.83/2.22    Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.22    , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'( 
% 1.83/2.22    Z, T, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.22    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z
% 1.83/2.22    , X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.22    , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'( 
% 1.83/2.22    Y, T, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.83/2.22    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T
% 1.83/2.22    , X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'( 
% 1.83/2.22    Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 1.83/2.22    , Y, X ), Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( 'c_0', Y
% 1.83/2.22    , X ), 'c_uminus'( Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 'c_0'
% 1.83/2.22    , X ), Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_minus'( Y, Z
% 1.83/2.22    , X ), 'c_0' ) ), =( Y, Z ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 1.83/2.22    , X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 1.83/2.22    , X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 
% 1.83/2.22    'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, Y, X
% 1.83/2.22     ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X ), 
% 1.83/2.22    'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ), 
% 1.83/2.22    'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =( 
% 1.83/2.22    'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.83/2.22    'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =( 
% 1.83/2.22    'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.83/2.22    'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 1.83/2.22     ), X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_uminus'( Y, X ), X ), Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y, 
% 1.83/2.22    X ), Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( Y, 'c_1', 
% 1.83/2.22    X ), Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_0', 
% 1.83/2.22    'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0', 'c_uminus'( 
% 1.83/2.22    'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( Y, X
% 1.83/2.22     ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.83/2.22     ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_0', 
% 1.83/2.22    X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.83/2.22     ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 'c_uminus'( Y, X ), 
% 1.83/2.22    'c_uminus'( Z, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 'c_0', 
% 1.83/2.22    Y, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ), 
% 1.83/2.22    'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ), 
% 1.83/2.22    'c_uminus'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.83/2.22    Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 'c_uminus'( Y, X ), 
% 1.83/2.22    'c_uminus'( Z, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.83/2.22    'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'( 
% 1.83/2.22    'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ), 
% 1.83/2.22    'c_OrderedGroup_Onprt'( Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.83/2.22    'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X ), 
% 1.83/2.22    'c_OrderedGroup_Opprt'( Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y, 
% 1.83/2.22    'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'( 
% 1.83/2.22    'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 'c_less'( 
% 1.83/2.22    'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'( 
% 1.83/2.22    Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'( 
% 1.83/2.22    Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.83/2.22    'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X ), Z, X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.83/2.22    'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z, X ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.83/2.22    , ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 'c_Orderings_Omin'( 
% 1.83/2.22    T, Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, Y, X
% 1.83/2.22     ), Y ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, 
% 1.83/2.22    'c_Orderings_Omin'( Y, Z, X ), X ), 'c_Orderings_Omin'( Y, Z, X ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.83/2.22    , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T, 
% 1.83/2.22    Y, X ), Z, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, Y, X
% 1.83/2.22     ), Y ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, 
% 1.83/2.22    'c_Orderings_Omax'( Y, Z, X ), X ), 'c_Orderings_Omax'( Y, Z, X ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat'
% 1.83/2.22     ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ) ), 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.83/2.22    , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.83/2.22    , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.83/2.22    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.83/2.22    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint'
% 1.83/2.22     ), 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_Suc'( X
% 1.83/2.22     ), 'tc_nat' ) ) ],
% 1.83/2.22     [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 'c_Suc'( X ), 
% 1.83/2.22    'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.83/2.22    'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.83/2.22    'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat'
% 1.83/2.22     ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 
% 1.83/2.22    'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( X, 
% 1.83/2.22    Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( Y, 
% 1.83/2.22    X, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( Y
% 1.83/2.22    , X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( X
% 1.83/2.22    , Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat'
% 1.83/2.22     ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 'tc_nat' ), 
% 1.83/2.22    'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.83/2.22    'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y, 
% 1.83/2.22    'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ), 
% 1.83/2.22    'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.83/2.22    'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 
% 1.83/2.22    'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.83/2.22    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.83/2.22    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.83/2.22     ), 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' )
% 1.83/2.22    , 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.83/2.22    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 1.83/2.22    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'( 
% 1.83/2.22    'c_1', X ) ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.83/2.22     ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.83/2.22     ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 'c_Nat_Opower'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.83/2.22     [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ), 
% 1.83/2.22    =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.83/2.22    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.83/2.22    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.83/2.22    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X, 
% 1.83/2.22    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.83/2.22    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ],
% 1.83/2.22     [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( 
% 1.83/2.22    Y, 'tc_nat' ), X ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.83/2.22    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.83/2.22    'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.83/2.22    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.83/2.22     ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.83/2.22     ) ), =( Z, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.83/2.22     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.83/2.22     ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.83/2.22     ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.83/2.22    , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.83/2.22    , 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.83/2.22    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.83/2.22    , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.83/2.22     ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.83/2.22     ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.83/2.22    X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.83/2.22    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 
% 1.83/2.22    'c_Nat_Opower'( Z, Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 1.83/2.22    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'( 
% 1.83/2.22    'c_Nat_Opower'( Z, Y, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 1.83/2.22    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'c_lessequals'( 'c_0', Y, X ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.83/2.22    'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y, 
% 1.83/2.22    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 1.83/2.22    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 1.83/2.22    'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.83/2.22    , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.83/2.22     ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.83/2.22    , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.83/2.22    , 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.83/2.22    , 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.83/2.22     ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 
% 1.83/2.22    'tc_nat' ), X ), X ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ), =( 
% 1.83/2.22    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.83/2.22     [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 'c_less'( 
% 1.83/2.22    'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_Nat_Opower'( 
% 1.83/2.22    X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 
% 1.83/2.22    'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' ), 'tc_nat' ) )
% 1.83/2.22    , =( X, 'c_0' ) ],
% 1.83/2.22     [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X, 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'tc_nat' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ],
% 1.83/2.22     [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( X, 
% 1.83/2.22    'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Suc'( 
% 1.83/2.22    Y ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.83/2.22    Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.83/2.22    Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, 
% 1.83/2.22    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.83/2.22    , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.83/2.22    , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.83/2.22    , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'( 
% 1.83/2.22    'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.83/2.22    , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ), 
% 1.83/2.22    =( Z, T ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', Y, X ), 
% 1.83/2.22    'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_1', X ), Y
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.83/2.22    , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.83/2.22     ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z, 
% 1.83/2.22    'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T, 
% 1.83/2.22    Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_0', X ), 
% 1.83/2.22    'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0', 
% 1.83/2.22    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 1.83/2.22    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ],
% 1.83/2.22     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ],
% 1.83/2.22     [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ],
% 1.83/2.22     [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ), 
% 1.83/2.22    'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ],
% 1.83/2.22     [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z ), X ) ],
% 1.83/2.22     [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X ) ],
% 1.83/2.22     [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y, Y ), 
% 1.83/2.22    'c_inter'( X, Z, Y ) ) ],
% 1.83/2.22     [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.83/2.22    , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.83/2.22    , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y ), X ) ],
% 1.83/2.22     [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ],
% 1.83/2.22     [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 'c_Relation_OId'
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 1.83/2.22    X ) ],
% 1.83/2.22     [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y, Y ), 
% 1.83/2.22    'c_Relation_Odiag'( X, Y ) ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 1.83/2.22    'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 1.83/2.22    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 1.83/2.22    Z ) ) ],
% 1.83/2.22     [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.83/2.22     ) ), =( X, Y ) ],
% 1.83/2.22     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y ) ) ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y ) ) ), 
% 1.83/2.22    'c_Relation_OId' ) ],
% 1.83/2.22     [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( Z, Z ) ) ), 
% 1.83/2.22    'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 'tc_prod'( Z
% 1.83/2.22    , Z ) ) ), Z, Z, Z ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 1.83/2.22    'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ), 
% 1.83/2.22    'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 1.83/2.22    'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.83/2.22    'c_1', X ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_0', 
% 1.83/2.22    'c_1' ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_1', X
% 1.83/2.22     ), Y ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.83/2.22    'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 1.83/2.22    'c_divide'( 'c_0', Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.83/2.22    'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 1.83/2.22    'c_divide'( Z, 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, Z, 
% 1.83/2.22    X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( Z, 
% 1.83/2.22    T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.83/2.22    'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.83/2.22    'c_1' ) ), =( Y, Z ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, 
% 1.83/2.22    'c_0', X ), 'c_1' ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, Z, 
% 1.83/2.22    X ), 'c_1' ) ), =( Z, Y ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 
% 1.83/2.22    'c_divide'( Y, Y, X ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 1.83/2.22    'c_lessequals'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.83/2.22     ), 'c_1', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 1.83/2.22    'c_lessequals'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.83/2.22     ), 'c_1', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.83/2.22    'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.83/2.22    , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.83/2.22    , ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 'c_1', X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( 
% 1.83/2.22    Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( Z, 
% 1.83/2.22    X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X )
% 1.83/2.22    , 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'( 
% 1.83/2.22    Y, 'c_0', X ) ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'( 
% 1.83/2.22    Y, Z, X ) ) ), =( Z, Y ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 'c_1'
% 1.83/2.22    , 'c_divide'( Y, Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.83/2.22    'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.83/2.22    , 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', Y, X )
% 1.83/2.22    , 'c_times'( 'c_0', Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.83/2.22    , 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_0', X )
% 1.83/2.22    , 'c_times'( Z, 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_divide'( 
% 1.83/2.22    Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ), 
% 1.83/2.22    'c_1' ) ), =( Y, 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X ), 
% 1.83/2.22    'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ), 
% 1.83/2.22    'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 1.83/2.22    'c_HOL_Oinverse'( Y, X ), X ), Y ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.83/2.22    , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.83/2.22    , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.83/2.22    , 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 
% 1.83/2.22    Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.83/2.22     ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.83/2.22    , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 'c_HOL_Oinverse'( 
% 1.83/2.22    Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.83/2.22    , X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), 
% 1.83/2.22    'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.83/2.22    'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 'c_HOL_Oinverse'( 
% 1.83/2.22    Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.83/2.22    , X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), 
% 1.83/2.22    'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_uminus'( 
% 1.83/2.22    Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( Y
% 1.83/2.22    , Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z, 
% 1.83/2.22    X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.83/2.22    'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ), 
% 1.83/2.22    'c_0' ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 'c_divide'( 
% 1.83/2.22    Z, Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 1.83/2.22    'c_lessequals'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 'c_divide'( 
% 1.83/2.22    Z, Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.83/2.22    , ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X ), X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.83/2.22    , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, X )
% 1.83/2.22    , 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.83/2.22    , X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'( 
% 1.83/2.22    Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'( 
% 1.83/2.22    'c_0', Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( Y
% 1.83/2.22    , 'c_1', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.83/2.22    , Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'( 
% 1.83/2.22    Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'( 
% 1.83/2.22    Y, 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( 
% 1.83/2.22    'c_1', Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.83/2.22    , Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'( 
% 1.83/2.22    'c_0', Y, X ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y, 
% 1.83/2.22    'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.83/2.22    Y, X ), 'c_0', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.83/2.22    'c_times'( Y, Z, X ), Y, X ), Z ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.83/2.22    Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.83/2.22    'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'( 
% 1.83/2.22    Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y, 
% 1.83/2.22    'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 1.83/2.22    'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.83/2.22    'c_times'( Z, Y, X ), Y, X ), Z ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 1.83/2.22    'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.83/2.22    'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.83/2.22    'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.83/2.22    , X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y, 'c_uminus'( 
% 1.83/2.22    Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'( 
% 1.83/2.22    'c_0', Y, X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'( 
% 1.83/2.22    Y, 'c_0', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.83/2.22    'c_lessequals'( 'c_1', 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 
% 1.83/2.22    'c_1', 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 'c_1'
% 1.83/2.22    , Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1', 
% 1.83/2.22    'c_0', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z, X
% 1.83/2.22     ) ) ), =( Y, Z ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_1', 
% 1.83/2.22    'c_0' ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_less'( 'c_0'
% 1.83/2.22    , 'c_1', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.83/2.22    Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_divide'( 
% 1.83/2.22    Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y
% 1.83/2.22    , Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y, 
% 1.83/2.22    'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.83/2.22    'c_divide'( Z, Y, X ), Y, X ), Z ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 'c_divide'( 
% 1.83/2.22    Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y, 
% 1.83/2.22    'c_divide'( Z, Y, X ), X ), Z ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 'c_divide'( 
% 1.83/2.22    'c_1', Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'( 
% 1.83/2.22    'c_1', 'c_0', X ) ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.83/2.22    , Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.83/2.22    'c_0', 'c_1', X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.83/2.22    'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.83/2.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.83/2.22    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.83/2.22     ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ), 
% 1.83/2.22    'c_SetInterval_OlessThan'( Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ), 
% 1.83/2.22    'c_SetInterval_OgreaterThan'( Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ), 
% 1.83/2.22    'c_SetInterval_OatMost'( Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.83/2.22    'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ), 
% 1.83/2.22    'c_SetInterval_OatLeast'( Y, X ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), =( 
% 1.83/2.22    'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), ~( 
% 1.83/2.22    'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastAtMost'( T
% 1.83/2.22    , Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_SetInterval_OatLeastAtMost'( 
% 1.83/2.22    Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.83/2.22    =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.83/2.22    , X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.83/2.22    'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastLessThan'( 
% 1.83/2.22    T, Z, X ), X ) ],
% 1.83/2.22     [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 'tc_nat' ), 
% 1.83/2.22    'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV' ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'( 
% 1.83/2.22    Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.83/2.22    'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 1.83/2.22    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 1.83/2.22    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.83/2.22     [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 'c_0', 
% 1.83/2.22    'c_emptyset', 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'( 
% 1.83/2.22    Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.83/2.22    'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 1.83/2.22    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.83/2.22    'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( 
% 1.83/2.22    Z, X ), 'tc_set'( X ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'( 
% 1.83/2.22    'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.83/2.22    , 'tc_IntDef_Oint' ) ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ), 'c_Suc'( X ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.83/2.22    , 'tc_IntDef_Oint' ) ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 1.83/2.22    'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 1.83/2.22    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, 
% 1.83/2.22    'c_plus'( X, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.83/2.22     [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 1.83/2.22    'tc_nat' ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.83/2.22    =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, 
% 1.83/2.22    T, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.83/2.22    'c_lessequals'( Z, T, X ) ), 'c_in'( Z, 
% 1.83/2.22    'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~( 
% 1.83/2.22    'c_less'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OgreaterThanLessThan'( T
% 1.83/2.22    , Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.83/2.22    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.83/2.22     ) ) ), =( Y, Z ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.83/2.22    , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.83/2.22     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.83/2.22    , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 1.83/2.22    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.83/2.22    , =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ), 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ), 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 1.83/2.22    'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 1.83/2.22    'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.83/2.22    , 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.83/2.22    , ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( U, Y, X ), 
% 1.83/2.22    'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.83/2.22     [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'( 
% 1.83/2.22    Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.83/2.22    , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.83/2.22    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 1.83/2.22    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.83/2.22    , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 1.83/2.22    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.83/2.22     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 'c_insert'( Y, 
% 1.83/2.22    'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ), 
% 1.83/2.22    'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.83/2.22     [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ), 
% 1.83/2.22    'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ],
% 1.83/2.22     [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 'c_union'( 
% 1.83/2.22    'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 'c_inter'( 
% 1.83/2.22    'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 'c_emptyset' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 'c_emptyset' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' ) ],
% 1.83/2.22     [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.83/2.22     ), =( X, Z ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 
% 1.83/2.22    Z ) ) ],
% 1.83/2.22     [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 1.83/2.22    'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'( 
% 1.83/2.22    Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ), 
% 1.83/2.22    'c_inter'( X, Y, Z ) ) ],
% 1.83/2.22     [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_emptyset' )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ],
% 1.83/2.22     [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ), 
% 1.83/2.22    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( X, Y, 
% 1.83/2.22    'tc_set'( Z ) ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 'tc_set'( Z ) ), 
% 1.83/2.22    'c_minus'( X, Y, 'tc_set'( Z ) ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.83/2.22    , Z ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.83/2.22    , 'tc_set'( Z ) ), Z ) ],
% 1.83/2.22     [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z ), 'tc_set'( Z
% 1.83/2.22     ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ],
% 1.83/2.22     [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ],
% 1.83/2.22     [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ],
% 1.83/2.22     [ =( 'c_inter'( X, X, Y ), X ) ],
% 1.83/2.22     [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'( 
% 1.83/2.22    T, Y, Z ), Z ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ), 
% 1.83/2.22    'c_lessequals'( X, Y, 'tc_set'( T ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ), 
% 1.83/2.22    'c_lessequals'( X, Z, 'tc_set'( T ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T, 
% 1.83/2.22    'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T, Y, Z ), 'tc_set'( Z )
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z ), 'c_UNIV'
% 1.83/2.22     ) ), =( X, 'c_UNIV' ) ],
% 1.83/2.22     [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.83/2.22    , =( 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.83/2.22     [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV' ) ), =( 
% 1.83/2.22    'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 'c_Inter'( Y, Z )
% 1.83/2.22     ) ), =( X, 'c_UNIV' ) ],
% 1.83/2.22     [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.83/2.22    , =( 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.83/2.22     [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV' ) ), =( 
% 1.83/2.22    'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.83/2.22     [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.83/2.22     ) ), 'c_in'( T, X, Z ) ],
% 1.83/2.22     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInter__iff__1'( X
% 1.83/2.22    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 1.83/2.22    'c_Inter'( Y, Z ), Z ) ],
% 1.83/2.22     [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_inter'( X, 
% 1.83/2.22    'c_Inter'( Y, Z ), Z ) ) ],
% 1.83/2.22     [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( X, Z ), 
% 1.83/2.22    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ],
% 1.83/2.22     [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 'c_emptyset'
% 1.83/2.22    , 'tc_set'( X ) ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.83/2.22    , 'tc_set'( Z ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.83/2.22    , 'tc_set'( Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.83/2.22     [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X, 
% 1.83/2.22    Y, Z ) ) ],
% 1.83/2.22     [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X, 
% 1.83/2.22    Y, Z ) ) ],
% 1.83/2.22     [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_union'( X, X, Y ), X ) ],
% 1.83/2.22     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 1.83/2.22     [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 1.83/2.22    X, Y, T ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.83/2.22     [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'( 
% 1.83/2.22    Y, T, Z ), Z ) ) ],
% 1.83/2.22     [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( Y, 'c_union'( 
% 1.83/2.22    X, Z, T ), T ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 
% 1.83/2.22    'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 
% 1.83/2.22    'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y, 
% 1.83/2.22    'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ],
% 1.83/2.22     [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( 
% 1.83/2.22    'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ],
% 1.83/2.22     [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z ), 
% 1.83/2.22    'c_emptyset' ) ), =( X, 'c_emptyset' ) ],
% 1.83/2.22     [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 'tc_set'( Y ) ), 
% 1.83/2.22    =( 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 'c_emptyset' ) ), =( 
% 1.83/2.22    'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 1.83/2.22    'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 1.83/2.22    'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.83/2.22    , 'c_Union'( T, Z ), Z ) ],
% 1.83/2.22     [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( X, 
% 1.83/2.22    'c_Union'( Y, Z ), Z ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), =( X, 
% 1.83/2.22    'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X, T, Z ), Z )
% 1.83/2.22    , 'c_emptyset' ) ) ],
% 1.83/2.22     [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 'c_emptyset' ) ), =( 
% 1.83/2.22    'c_inter'( X, Z, T ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, X, Z ), =( 
% 1.83/2.22    'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y, 'c_insert'( 
% 1.83/2.22    X, T, Z ), Z ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), T ) ) ), =( 
% 1.83/2.22    'c_emptyset', 'c_inter'( X, Z, T ) ) ],
% 1.83/2.22     [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, X, Z ), =( 
% 1.83/2.22    'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ],
% 1.83/2.22     [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( Y ) ), X ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 'c_Union'( Y, 
% 1.83/2.22    Z ) ) ), =( X, 'c_emptyset' ) ],
% 1.83/2.22     [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 'tc_set'( Y ) ), 
% 1.83/2.22    =( 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.83/2.22     [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 'c_emptyset' ) ), =( 
% 1.83/2.22    'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.83/2.22     [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z ), Y, 
% 1.83/2.22    'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ],
% 1.83/2.22     [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset', Z ), 
% 1.83/2.22    'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ],
% 1.83/2.22     [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( X, Y, Z ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T, Z ), Y, Z )
% 1.83/2.22    , 'c_emptyset' ) ) ],
% 1.83/2.22     [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 'c_emptyset' ) ), =( 
% 1.83/2.22    'c_inter'( Y, T, Z ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, Y, Z ), =( 
% 1.83/2.22    'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, 
% 1.83/2.22    T, Z ), Y, Z ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ) ) ), =( 
% 1.83/2.22    'c_emptyset', 'c_inter'( Y, T, Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, Y, Z ), =( 
% 1.83/2.22    'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.83/2.22     ) ],
% 1.83/2.22     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.83/2.22     [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z ), Z ), 
% 1.83/2.22    'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'( 
% 1.83/2.22    X, T, Z ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 
% 1.83/2.22    'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 
% 1.83/2.22    'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.83/2.22     [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =( 
% 1.83/2.22    Z, X ) ],
% 1.83/2.22     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), 
% 1.83/2.22    'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.83/2.22     ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.83/2.22     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =( 
% 1.83/2.22    X, T ) ],
% 1.83/2.22     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), 
% 1.83/2.22    'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.83/2.22     ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.83/2.22     [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), =( X, 
% 1.83/2.22    'c_emptyset' ) ],
% 1.83/2.22     [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X ) ) ],
% 1.83/2.22     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.83/2.22    , =( X, T ) ],
% 1.83/2.22     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.83/2.22    , =( X, T ) ],
% 1.83/2.22     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, 
% 1.83/2.22    Y ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.83/2.22     ), 'c_UNIV' ) ],
% 1.83/2.22     [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 1.83/2.22    'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'( 
% 1.83/2.22    X, Y ) ) ],
% 1.83/2.22     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ), 
% 1.83/2.22    'c_Relation_OId' ) ],
% 1.83/2.22     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 1.83/2.22    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.83/2.22     [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 1.83/2.22    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ), 
% 1.83/2.22    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.83/2.22     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 'c_Relation_OId', 
% 1.83/2.22    'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.83/2.22     ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.83/2.22     [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 'c_emptyset' )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.83/2.22     ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.83/2.22     [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 'c_Relation_OId', 
% 1.83/2.22    'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, 
% 1.83/2.22    Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.83/2.22     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.83/2.22    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.83/2.22    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'( 
% 1.83/2.22    T, Z ) ],
% 1.83/2.22     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.83/2.22    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 1.83/2.22    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.83/2.22     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.83/2.22    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 1.83/2.22    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.83/2.22    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.83/2.22     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.83/2.22    , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.83/2.22    , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 1.83/2.22    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.83/2.22     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.83/2.22    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 1.83/2.22    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.83/2.22    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.83/2.22     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, Z
% 1.83/2.22    , Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 1.83/2.22    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.83/2.22     ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 
% 1.83/2.22    'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OFriend'( X ) ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OServer' ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OSpy' ) ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OServer' ) ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OSpy' ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OFriend'( X ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OFriend'( Y )
% 1.83/2.22     ) ), =( X, Y ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OServer', 'tc_Message_Oagent' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OFriend'( X ), 'tc_Message_Oagent'
% 1.83/2.22     ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OSpy', 'tc_Message_Oagent' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ],
% 1.83/2.22     [ ~( =( 'c_Message_OinvKey'( X ), 'c_Message_OinvKey'( Y ) ) ), =( X, Y
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_union'( 'c_Message_OkeysFor'( X ), 'c_Message_OkeysFor'( Y ), 'tc_nat'
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.83/2.22    Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OinvKey'( X ), 
% 1.83/2.22    'c_Message_OkeysFor'( Z ), 'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.83/2.22    Z, 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y
% 1.83/2.22    , 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Y ) ) ), 
% 1.83/2.22    =( X, Y ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Omsg_ONumber'( Y ) ) )
% 1.83/2.22    , =( X, Y ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Omsg_ONonce'( Y ) ) ), 
% 1.83/2.22    =( X, Y ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( Y ) ) ), =( X
% 1.83/2.22    , Y ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_Omsg_OHash'( Y ) ) ), 
% 1.83/2.22    =( X, Y ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.83/2.22     ) ), =( X, Z ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.83/2.22     ) ), =( Y, T ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.83/2.22     ) ), =( X, Z ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.83/2.22     ) ), =( Y, T ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OAgent'( X ), 'tc_Message_Omsg' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONumber'( X ), 'tc_Message_Omsg' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONonce'( X ), 'tc_Message_Omsg' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OKey'( X ), 'tc_Message_Omsg' ), 
% 1.83/2.22    'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OHash'( X ), 'tc_Message_Omsg' ), 
% 1.83/2.22    'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ), 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OMPair'( X, Y ), 'tc_Message_Omsg' )
% 1.83/2.22    , 'c_plus'( 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 
% 1.83/2.22    'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'tc_nat' ), 'c_Suc'( 'c_0' ), 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OCrypt'( X, Y ), 'tc_Message_Omsg' )
% 1.83/2.22    , 'c_plus'( 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ), 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( 
% 1.83/2.22    Y ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ), 'tc_Message_Omsg' )
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_union'( X, 'c_union'( Y, X, Z ), Z ), 'c_union'( Y, X, Z ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad', 
% 1.83/2.22    'tc_Message_Oagent' ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad', 'tc_Message_Oagent' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 1.83/2.22    'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.83/2.22    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OGets'( T, U
% 1.83/2.22     ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.83/2.22     ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_ONotes'( T, U
% 1.83/2.22     ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.83/2.22     ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OGets'( Z, T )
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.83/2.22    , W ) ) ), =( X, T ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.83/2.22    , W ) ) ), =( Y, U ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.83/2.22    , W ) ) ), =( Z, W ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.83/2.22     ), =( X, Z ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.83/2.22     ), =( Y, T ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.83/2.22     ) ), =( X, Z ) ],
% 1.83/2.22     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.83/2.22     ) ), =( Y, T ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'tc_Event_Oevent'
% 1.83/2.22     ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OGets'( X, Y ), 'tc_Event_Oevent' )
% 1.83/2.22    , 'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Event_Oevent_ONotes'( X, Y ), 'tc_Event_Oevent' )
% 1.83/2.22    , 'c_0' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 
% 1.83/2.22    'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OKey'( 'v_sko__uhi'( Y, X ) ), Y, 'tc_Message_Omsg' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 
% 1.83/2.22    'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), =( X, 
% 1.83/2.22    'c_Message_OinvKey'( 'v_sko__uhi'( Y, X ) ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ) ), 'c_in'( X, 
% 1.83/2.22    'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OkeysFor'( 
% 1.83/2.22    'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.83/2.22     [ =( 'c_Event_Oknows'( X, 'c_List_Olist_ONil' ), 'c_Event_OinitState'( X
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.83/2.22    'c_Event_Oevent_OGets'( X, Y ), Z, 'tc_Event_Oevent' ) ), 
% 1.83/2.22    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), =( 
% 1.83/2.22    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.83/2.22    'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_insert'( Y
% 1.83/2.22    , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), =( 'c_Event_Oknows'( 
% 1.83/2.22    'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X
% 1.83/2.22    , Y ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oknows'( 
% 1.83/2.22    'c_Message_Oagent_OSpy', Z ) ) ],
% 1.83/2.22     [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.83/2.22    'c_Event_Oevent_OSays'( X, Y, Z ), T, 'tc_Event_Oevent' ) ), 'c_insert'( 
% 1.83/2.22    Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) )
% 1.83/2.22     ],
% 1.83/2.22     [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( X, Y
% 1.83/2.22     ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oused'( Z ) ) ],
% 1.83/2.22     [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X, 
% 1.83/2.22    Y ), Z, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'( 'c_insert'( 
% 1.83/2.22    Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( X, Y
% 1.83/2.22    , Z ), T, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'( 
% 1.83/2.22    'c_insert'( Z, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( T )
% 1.83/2.22    , 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 1.83/2.22    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), =( 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.83/2.22    'c_insert'( X, Y, 'tc_Message_Omsg' ) ) ), 'c_Message_Osynth'( 
% 1.83/2.22    'c_Message_Oanalz'( Y ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( X
% 1.83/2.22    , Z ) ],
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( Y
% 1.83/2.22    , T ) ],
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.83/2.22    , =( Z, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.83/2.22    , =( T, Y ) ],
% 1.83/2.22     [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'( 
% 1.83/2.22    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.83/2.22    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.83/2.22    'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.83/2.22    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'( 
% 1.83/2.22    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.83/2.22    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.83/2.22    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.83/2.22    'c_Message_Omsg_OMPair'( Z, X ) ), 'c_Message_Oanalz'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.83/2.22    Y ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_OHPair'( Z, X ), 
% 1.83/2.22    'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OAgent'( Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T ) ) )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'( Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'( Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONonce'( Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONumber'( Z ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.83/2.22    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.83/2.22    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Oanalz'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.83/2.22    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.83/2.22    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.83/2.22    'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.83/2.22    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.83/2.22    , =( X, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( Z, T ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.83/2.22    , =( Y, T ) ],
% 1.83/2.22     [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'( 
% 1.83/2.22    'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( 
% 1.83/2.22    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.83/2.22    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( 
% 1.83/2.22    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.83/2.22    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( 
% 1.83/2.22    'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.83/2.22    Y ) ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 
% 1.83/2.22    'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' )
% 1.83/2.22     ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( 
% 1.83/2.22    Y ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 
% 1.83/2.22    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), =( 'c_Message_Oanalz'( 
% 1.83/2.22    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( 
% 1.83/2.22    'c_insert'( Z, Y, 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 
% 1.83/2.22    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), =( 'c_Message_Oanalz'( 
% 1.83/2.22    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.83/2.22    X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oanalz'( 
% 1.83/2.22    X ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ), 
% 1.83/2.22    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'( 
% 1.83/2.22    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.83/2.22    'c_Message_Oanalz'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ), 
% 1.83/2.22    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oanalz'( Y ) ), 'tc_nat' )
% 1.83/2.22    , =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 1.83/2.22    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.83/2.22    , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.83/2.22    'c_Message_Oanalz'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.83/2.22    , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ), 
% 1.83/2.22    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ), 
% 1.83/2.22    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'( 
% 1.83/2.22    X ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y ), 
% 1.83/2.22    'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oanalz'( 
% 1.83/2.22    Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'( 
% 1.83/2.22    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oanalz'( X ), 
% 1.83/2.22    'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_Message_Osynth'( X ) ), 'c_union'( 
% 1.83/2.22    'c_Message_Oanalz'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z, 'tc_Message_Omsg' )
% 1.83/2.22     ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'( 
% 1.83/2.22    X ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ), =( 
% 1.83/2.22    'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_Message_Oparts'( Y ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'( 
% 1.83/2.22    X ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ), 
% 1.83/2.22    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), Z
% 1.83/2.22    , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.83/2.22    'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'( 
% 1.83/2.22    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.83/2.22    'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ), 
% 1.83/2.22    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 1.83/2.22    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.83/2.22    , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.83/2.22    'c_Message_Oparts'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.83/2.22    , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ), 
% 1.83/2.22    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y, 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ), 
% 1.83/2.22    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 1.83/2.22    'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oparts'( 
% 1.83/2.22    Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 
% 1.83/2.22    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ), 
% 1.83/2.22    'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ), 'c_union'( 
% 1.83/2.22    'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~( 
% 1.83/2.22    'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 
% 1.83/2.22    Y ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~( 
% 1.83/2.22    'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Osynth'( 
% 1.83/2.22    Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'( 
% 1.83/2.22    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 1.83/2.22    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Event_Oused'( 
% 1.83/2.22    'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.83/2.22     ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( 
% 1.83/2.22    'c_Event_OinitState'( Y ) ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 
% 1.83/2.22    'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( Y, X )
% 1.83/2.22     ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'( 
% 1.83/2.22    'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.83/2.22    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), =( 
% 1.83/2.22    'c_Message_OinvKey'( X ), X ) ],
% 1.83/2.22     [ =( 'c_Message_OinvKey'( 'c_Public_OshrK'( X ) ), 'c_Public_OshrK'( X )
% 1.83/2.22     ) ],
% 1.83/2.22     [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 1.83/2.22    'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.83/2.22     [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 1.83/2.22    'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.83/2.22     [ ~( =( 'c_Public_Okeymode_OSignature', 'c_Public_Okeymode_OEncryption'
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ ~( =( 'c_Public_Okeymode_OEncryption', 'c_Public_Okeymode_OSignature'
% 1.83/2.22     ) ) ],
% 1.83/2.22     [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 1.83/2.22    'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.83/2.22     [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 1.83/2.22    'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OSignature', 'tc_Public_Okeymode'
% 1.83/2.22     ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OEncryption', 
% 1.83/2.22    'tc_Public_Okeymode' ), 'c_0' ) ],
% 1.83/2.22     [ =( 'c_Message_OkeysFor'( 'c_Message_Oparts'( 'c_Event_OinitState'( X )
% 1.83/2.22     ) ), 'c_emptyset' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.83/2.22    'c_Message_OsymKeys', 'tc_nat' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OsymKeys', 
% 1.83/2.22    'tc_nat' ) ) ],
% 1.83/2.22     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( 
% 1.83/2.22    'c_Public_Okeymode_OEncryption', X ) ), 'c_Public_OshrK'( Y ) ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.83/2.22    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_OinitState'( Y ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'( 
% 1.83/2.22    'c_Public_OpublicKey'( Y, Z ) ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.83/2.22    'c_Public_OpublicKey'( Z, T ) ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.83/2.22    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_Oused'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z ) ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.83/2.22    'c_Event_OinitState'( Z ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.83/2.22    , =( X, Z ) ],
% 1.83/2.22     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.83/2.22    , =( Y, T ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.83/2.22    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'( 
% 1.83/2.22    'c_Public_OpublicKey'( Z, T ) ) ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.83/2.22    'c_Event_OinitState'( X ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.83/2.22    'c_Event_Oknows'( X, Y ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.83/2.22    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ), =( X, Y ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.83/2.22    'c_Public_OshrK'( Z ) ) ) ],
% 1.83/2.22     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OshrK'( Z ) ) ) ],
% 1.83/2.22     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.83/2.22    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' )
% 1.83/2.22     ), 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'( 
% 1.83/2.22    'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'( 
% 1.83/2.22    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg'
% 1.83/2.22     ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Y, 'c_Message_Osynth'( 
% 1.83/2.22    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_union'( 
% 1.83/2.22    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'c_Message_Oparts'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'( 
% 1.83/2.22    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( Y ) ), 
% 1.83/2.22    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Message_Oanalz'( 
% 1.83/2.22    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( Y ) ), 
% 1.83/2.22    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Message_Oparts'( 
% 1.83/2.22    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'( 
% 1.83/2.22    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 1.83/2.22    'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 
% 1.83/2.22    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y, 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'( 
% 1.83/2.22    'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 1.83/2.22    Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 
% 1.83/2.22    'c_Event_Oevent_OSays'( 'v_sko__wPE'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 1.83/2.22    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.83/2.22     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.83/2.22    'c_Event_Oevent_OGets'( Z, T ), U, 'tc_Event_Oevent' ) ) ), 
% 1.83/2.22    'c_Yahalom_OKeyWithNonce'( X, Y, U ) ],
% 1.83/2.22     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 'c_Yahalom_OKeyWithNonce'( 
% 1.83/2.22    X, Y, 'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( T, U ), Z, 
% 1.83/2.22    'tc_Event_Oevent' ) ) ],
% 1.83/2.22     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.83/2.22    'c_Event_Oevent_ONotes'( Z, T ), U, 'tc_Event_Oevent' ) ) ), 
% 1.83/2.22    'c_Yahalom_OKeyWithNonce'( X, Y, U ) ],
% 1.83/2.22     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 'c_Yahalom_OKeyWithNonce'( 
% 1.83/2.22    X, Y, 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( T, U ), Z, 
% 1.83/2.22    'tc_Event_Oevent' ) ) ],
% 1.83/2.22     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.83/2.22    'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ), 
% 1.83/2.22    'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( 'c_Message_Oagent_OServer', Z )
% 1.83/2.22     ],
% 1.83/2.22     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.83/2.22    'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ), 
% 1.83/2.22    'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( U, 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OAgent'( 'v_sko__2VZ'( T, X, Y, U ) ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'v_sko__2Va'( T, X, Y, U ), 
% 1.83/2.22    'c_Message_Omsg_ONonce'( Y ) ) ) ) ), 'v_sko__2Vb'( T, X, Y, U ) ) ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.83/2.22    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Z, 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_ONonce'( Y ) ) ) ) ), W ) ), 
% 1.83/2.22    V0, 'tc_Event_Oevent' ) ) ],
% 1.83/2.22     [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 'c_Yahalom_OKeyWithNonce'( 
% 1.83/2.22    X, Y, 'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( T, U, W ), Z, 
% 1.83/2.22    'tc_Event_Oevent' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.83/2.22    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.83/2.22    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( T ) ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'( 
% 1.83/2.22    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), ~( 
% 1.83/2.22    'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( Y, 
% 1.83/2.22    'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 1.83/2.22    ,
% 1.83/2.22     [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Event_Oknows'( 
% 1.83/2.22    'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y ), 
% 1.83/2.22    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 
% 1.83/2.22    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Message_Oanalz'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 
% 1.83/2.22    'tc_Message_Omsg' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.83/2.22    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.83/2.22    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 1.83/2.22    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 
% 1.83/2.22    'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer', 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.22    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ), 
% 1.83/2.22    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z
% 1.83/2.22    , 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.22    'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3, 
% 1.83/2.22    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0, 
% 1.83/2.22    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.83/2.22    'tc_Message_Omsg' ), =( W, V6 ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z
% 1.83/2.22    , 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.22    'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3, 
% 1.83/2.22    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0, 
% 1.83/2.22    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.83/2.22    'tc_Message_Omsg' ), =( U, V5 ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, 'c_Message_Omsg_OMPair'( Z
% 1.83/2.22    , 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.22    'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3, 
% 1.83/2.22    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'( 
% 1.83/2.22    'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X, 
% 1.83/2.22    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0, 
% 1.83/2.22    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.83/2.22    'tc_Message_Omsg' ), =( T, V4 ) ],
% 1.83/2.22     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.22     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.83/2.22    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.83/2.22    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.22    'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'( 
% 1.83/2.22    'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 1.83/2.22    Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X, 
% 1.83/2.23    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.23    'c_Message_Omsg_OKey'( T ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 
% 1.83/2.23    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Z, 
% 1.83/2.23    'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( Y, 'c_Event_Obad', 
% 1.83/2.23    'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_ONotes'( 
% 1.83/2.23    'c_Message_Oagent_OSpy', 'c_Message_Omsg_OMPair'( U, 
% 1.83/2.23    'c_Message_Omsg_OMPair'( W, 'c_Message_Omsg_OKey'( T ) ) ) ), 
% 1.83/2.23    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.83/2.23     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.23     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.83/2.23    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.23    'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ), 
% 1.83/2.23    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.83/2.23    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 1.83/2.23    'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 1.83/2.23    V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ), 
% 1.83/2.23    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.83/2.23    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ), 
% 1.83/2.23    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.83/2.23    'tc_Message_Omsg' ) ],
% 1.83/2.23     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.23     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.83/2.23    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.83/2.23    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.23    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.23    'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_ONonce'( W ) ) ) ) ), V0 ) )
% 1.83/2.23    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.23    'c_Message_Omsg_ONonce'( V1 ), 'c_Message_Oanalz'( 'c_insert'( 
% 1.83/2.23    'c_Message_Omsg_OKey'( T ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X
% 1.83/2.23     ), 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.83/2.23    'c_Message_Omsg_ONonce'( V1 ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 
% 1.83/2.24    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ), =( V1, W ), =( T, 
% 1.83/2.24    'c_Public_OshrK'( 'v_sko__2VY'( T ) ) ) ],
% 1.83/2.24     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.24     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_ONonce'( W ) ) ) ) ), V0 ) )
% 1.83/2.24    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.24    'c_Message_Omsg_ONonce'( V1 ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 
% 1.83/2.24    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.83/2.24    'c_Message_Omsg_ONonce'( V1 ), 'c_Message_Oanalz'( 'c_insert'( 
% 1.83/2.24    'c_Message_Omsg_OKey'( T ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X
% 1.83/2.24     ), 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), =( V1, W ), =( T, 
% 1.83/2.24    'c_Public_OshrK'( 'v_sko__2VY'( T ) ) ) ],
% 1.83/2.24     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.24     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.83/2.24    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.24    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.83/2.24    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V1, Y ) ],
% 1.83/2.24     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.24     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.83/2.24    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.24    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.83/2.24    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V2, Z ) ],
% 1.83/2.24     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.24     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.83/2.24    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.24    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.83/2.24    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V3, U ) ],
% 1.83/2.24     [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.83/2.24     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.83/2.24    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.83/2.24    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.83/2.24    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.83/2.24    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V4, W ) ],
% 1.83/2.24     [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 1.83/2.24     [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 1.83/2.24     [ ~( =( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), ~( =( 'v_NA', 'v_NAa' ) )
% 1.83/2.24    , ~( =( 'v_NB', 'v_NBa' ) ) ],
% 1.83/2.24     [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.83/2.24    'tc_Event_Oevent' ) ) ],
% 1.83/2.24     [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_Aa', 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 1.83/2.24    'v_Aa' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 
% 1.83/2.24    'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'( 
% 1.83/2.24    'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.83/2.24     [ ~( 'c_in'( 'c_Event_Oevent_ONotes'( 'c_Message_Oagent_OSpy', 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), X ) ) ), 
% 1.83/2.24    'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 1.83/2.24    ,
% 1.83/2.24     [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer', 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ), 
% 1.83/2.24    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 1.83/2.24    'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso', 
% 1.83/2.24    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.83/2.24     [ 'c_in'( 'c_Event_Oevent_ONotes'( 'c_Message_Oagent_OSpy', 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 1.83/2.24    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'v_k' ) ) ), 
% 1.83/2.24    'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.83/2.24     [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Oanalz'( 
% 1.83/2.24    'c_insert'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Event_Oknows'( 
% 1.83/2.24    'c_Message_Oagent_OSpy', 'v_evso' ), 'tc_Message_Omsg' ) ), 
% 1.83/2.24    'tc_Message_Omsg' ) ]
% 1.83/2.24  ] .
% 1.83/2.24  
% 1.83/2.24  
% 1.83/2.24  percentage equality = 0.226190, percentage horn = 0.907677
% 1.83/2.24  This is a problem with some equality
% 1.83/2.24  
% 1.83/2.24  
% 1.83/2.24  
% 1.83/2.24  Options Used:
% 1.83/2.24  
% 1.83/2.24  useres =            1
% 1.83/2.24  useparamod =        1
% 1.83/2.24  useeqrefl =         1
% 1.83/2.24  useeqfact =         1
% 1.83/2.24  usefactor =         1
% 1.83/2.24  usesimpsplitting =  0
% 1.83/2.24  usesimpdemod =      5
% 1.83/2.24  usesimpres =        3
% 1.83/2.24  
% 1.83/2.24  resimpinuse      =  1000
% 1.83/2.24  resimpclauses =     20000
% 1.83/2.24  substype =          eqrewr
% 1.83/2.24  backwardsubs =      1
% 1.83/2.24  selectoldest =      5
% 1.83/2.24  
% 1.83/2.24  litorderings [0] =  split
% 1.83/2.24  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.83/2.24  
% 1.83/2.24  termordering =      kbo
% 1.83/2.24  
% 1.83/2.24  litapriori =        0
% 1.83/2.24  termapriori =       1
% 1.83/2.24  litaposteriori =    0
% 1.83/2.24  termaposteriori =   0
% 1.83/2.24  demodaposteriori =  0
% 1.83/2.24  ordereqreflfact =   0
% 1.83/2.24  
% 1.83/2.24  litselect =         negord
% 1.83/2.24  
% 1.83/2.24  maxweight =         15
% 1.83/2.24  maxdepth =          30000
% 1.83/2.24  maxlength =         115
% 1.83/2.24  maxnrvars =         195
% 1.83/2.24  excuselevel =       1
% 1.83/2.24  increasemaxweight = 1
% 1.83/2.24  
% 1.83/2.24  maxselected =       10000000
% 1.83/2.24  maxnrclauses =      10000000
% 1.83/2.24  
% 1.83/2.24  showgenerated =    0
% 1.83/2.24  showkept =         0
% 1.83/2.24  showselected =     0
% 1.83/2.24  showdeleted =      0
% 1.83/2.24  showresimp =       1
% 1.83/2.24  showstatus =       2000
% 1.83/2.24  
% 1.83/2.24  prologoutput =     1
% 1.83/2.24  nrgoals =          5000000
% 1.83/2.24  totalproof =       1
% 1.83/2.24  
% 1.83/2.24  Symbols occurring in the translation:
% 1.83/2.24  
% 1.83/2.24  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.83/2.24  .  [1, 2]      (w:1, o:307, a:1, s:1, b:0), 
% 1.83/2.24  !  [4, 1]      (w:0, o:200, a:1, s:1, b:0), 
% 1.83/2.24  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.83/2.24  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_OLeaf'  [42, 3]      (w:1, o:417, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_ONumb'  [44, 3]      (w:1, o:418, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_Odprod'  [48, 4]      (w:1, o:484, a:1, s:1, b:0), 
% 1.83/2.24  'tc_Datatype__Universe_Onode'  [49, 2]      (w:1, o:332, a:1, s:1, b:0), 
% 1.83/2.24  'tc_set'  [50, 1]      (w:1, o:205, a:1, s:1, b:0), 
% 1.83/2.24  'tc_prod'  [51, 2]      (w:1, o:333, a:1, s:1, b:0), 
% 1.83/2.24  'c_in'  [52, 3]      (w:1, o:419, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OdprodE__1'  [53, 5]      (w:1, o:518, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OdprodE__2'  [54, 5]      (w:1, o:519, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_OScons'  [55, 4]      (w:1, o:485, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OdprodE__3'  [56, 5]      (w:1, o:520, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OdprodE__4'  [57, 5]      (w:1, o:521, a:1, s:1, b:0), 
% 1.83/2.24  'c_Pair'  [58, 4]      (w:1, o:486, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_Odsum'  [64, 4]      (w:1, o:487, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OdsumE__1'  [65, 4]      (w:1, o:492, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_OIn0'  [66, 3]      (w:1, o:420, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OdsumE__2'  [67, 4]      (w:1, o:493, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OdsumE__3'  [68, 4]      (w:1, o:494, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_OIn1'  [69, 3]      (w:1, o:421, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OdsumE__4'  [70, 4]      (w:1, o:495, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_Ouprod'  [73, 4]      (w:1, o:496, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OuprodE__1'  [74, 5]      (w:1, o:522, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OuprodE__2'  [75, 5]      (w:1, o:523, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_Ousum'  [77, 4]      (w:1, o:497, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OusumE__1'  [78, 4]      (w:1, o:498, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OusumE__2'  [79, 4]      (w:1, o:499, a:1, s:1, b:0), 
% 1.83/2.24  'c_0'  [81, 0]      (w:1, o:56, a:1, s:1, b:0), 
% 1.83/2.24  'tc_nat'  [82, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 1.83/2.24  'c_Divides_Oop_Advd'  [83, 3]      (w:1, o:422, a:1, s:1, b:0), 
% 1.83/2.24  'c_Suc'  [84, 1]      (w:1, o:206, a:1, s:1, b:0), 
% 1.83/2.24  'c_times'  [86, 3]      (w:1, o:424, a:1, s:1, b:0), 
% 1.83/2.24  'c_Divides_Oop_Amod'  [88, 3]      (w:1, o:425, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Omod__eq__0D__dest__1'  [89, 2]      (w:1, o:355, a:1, s:1, b:0), 
% 1.83/2.24  'c_emptyset'  [90, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 1.83/2.24  'c_Finite__Set_OFinites'  [91, 0]      (w:1, o:65, a:1, s:1, b:0), 
% 1.83/2.24  'c_insert'  [93, 3]      (w:1, o:426, a:1, s:1, b:0), 
% 1.83/2.24  'c_inter'  [96, 3]      (w:1, o:427, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Ofinite__Union__1'  [97, 2]      (w:1, o:357, a:1, s:1, b:0), 
% 1.83/2.24  'c_Union'  [98, 2]      (w:1, o:363, a:1, s:1, b:0), 
% 1.83/2.24  'c_GCD_Ogcd'  [100, 1]      (w:1, o:207, a:1, s:1, b:0), 
% 1.83/2.24  'c_Infinite__Set_Oatmost__one'  [102, 2]      (w:1, o:366, a:1, s:1, b:0), 
% 1.83/2.24    
% 1.83/2.24  'c_IntDef_Oint'  [103, 1]      (w:1, o:208, a:1, s:1, b:0), 
% 1.83/2.24  'tc_IntDef_Oint'  [104, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 1.83/2.24  'c_uminus'  [105, 2]      (w:1, o:367, a:1, s:1, b:0), 
% 1.83/2.24  'c_lessequals'  [106, 3]      (w:1, o:428, a:1, s:1, b:0), 
% 1.83/2.24  'c_less'  [107, 3]      (w:1, o:429, a:1, s:1, b:0), 
% 1.83/2.24  'c_1'  [108, 0]      (w:1, o:81, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Ozmod__eq__0D__dest__1'  [109, 2]      (w:1, o:368, a:1, s:1, b:0)
% 1.83/2.24    , 
% 1.83/2.24  'c_List_Oremdups'  [111, 2]      (w:1, o:334, a:1, s:1, b:0), 
% 1.83/2.24  'c_List_Odistinct'  [112, 2]      (w:1, o:338, a:1, s:1, b:0), 
% 1.83/2.24  'c_List_Oset'  [113, 2]      (w:1, o:341, a:1, s:1, b:0), 
% 1.83/2.24  'c_List_Olists'  [114, 2]      (w:1, o:343, a:1, s:1, b:0), 
% 1.83/2.24  'tc_List_Olist'  [115, 1]      (w:1, o:209, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Oin__listsI__1'  [117, 3]      (w:1, o:445, a:1, s:1, b:0), 
% 1.83/2.24  'c_Nat_Osize'  [118, 2]      (w:1, o:381, a:1, s:1, b:0), 
% 1.83/2.24  'c_List_Olist_OCons'  [120, 3]      (w:1, o:430, a:1, s:1, b:0), 
% 1.83/2.24  'c_List_Olistrel'  [121, 2]      (w:1, o:342, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Olistrel__Cons1__1'  [122, 5]      (w:1, o:524, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Olistrel__Cons1__2'  [123, 5]      (w:1, o:525, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Olistrel__Cons2__1'  [124, 5]      (w:1, o:526, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Olistrel__Cons2__2'  [125, 5]      (w:1, o:527, a:1, s:1, b:0), 
% 1.83/2.24  'c_List_Olist_ONil'  [126, 0]      (w:1, o:84, a:1, s:1, b:0), 
% 1.83/2.24  'c_Wellfounded__Recursion_Owf'  [128, 2]      (w:1, o:382, a:1, s:1, b:0), 
% 1.83/2.24    
% 1.83/2.24  'c_List_Olenlex'  [129, 2]      (w:1, o:344, a:1, s:1, b:0), 
% 1.83/2.24  'c_List_Olex'  [130, 2]      (w:1, o:345, a:1, s:1, b:0), 
% 1.83/2.24  'class_Orderings_Oorder'  [131, 1]      (w:1, o:213, a:1, s:1, b:0), 
% 1.83/2.24  'c_Relation_ODomain'  [132, 3]      (w:1, o:446, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_ODomainE__1'  [133, 4]      (w:1, o:500, a:1, s:1, b:0), 
% 1.83/2.24  'c_Relation_OId'  [136, 0]      (w:1, o:86, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OIdE__1'  [137, 2]      (w:1, o:369, a:1, s:1, b:0), 
% 1.83/2.24  'c_Relation_OImage'  [138, 4]      (w:1, o:501, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OImageE__1'  [139, 5]      (w:1, o:528, a:1, s:1, b:0), 
% 1.83/2.24  'c_Relation_ORange'  [140, 3]      (w:1, o:447, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_ORangeE__1'  [141, 4]      (w:1, o:502, a:1, s:1, b:0), 
% 1.83/2.24  'c_Relation_Oconverse'  [143, 3]      (w:1, o:448, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OconverseE__1'  [144, 4]      (w:1, o:490, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OconverseE__2'  [145, 4]      (w:1, o:491, a:1, s:1, b:0), 
% 1.83/2.24  'c_Relation_Odiag'  [146, 2]      (w:1, o:383, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OdiagE__1'  [147, 3]      (w:1, o:449, a:1, s:1, b:0), 
% 1.83/2.24  'c_Relation_Orel__comp'  [150, 5]      (w:1, o:529, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Orel__compE__2'  [151, 6]      (w:1, o:531, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Orel__compE__3'  [152, 6]      (w:1, o:532, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Orel__compE__1'  [153, 6]      (w:1, o:530, a:1, s:1, b:0), 
% 1.83/2.24  'c_SetInterval_OatLeastAtMost'  [154, 3]      (w:1, o:450, a:1, s:1, b:0), 
% 1.83/2.24    
% 1.83/2.24  'c_SetInterval_OatLeastLessThan'  [155, 3]      (w:1, o:451, a:1, s:1, b:0)
% 1.83/2.24    , 
% 1.83/2.24  'c_SetInterval_OatMost'  [156, 2]      (w:1, o:385, a:1, s:1, b:0), 
% 1.83/2.24  'c_SetInterval_OgreaterThanAtMost'  [157, 3]      (w:1, o:452, a:1, s:1, b:
% 1.83/2.24    0), 
% 1.83/2.24  'c_SetInterval_OgreaterThanLessThan'  [158, 3]      (w:1, o:453, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'c_SetInterval_OlessThan'  [159, 2]      (w:1, o:386, a:1, s:1, b:0), 
% 1.83/2.24  'c_Inter'  [161, 2]      (w:1, o:387, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OInterI__1'  [162, 3]      (w:1, o:454, a:1, s:1, b:0), 
% 1.83/2.24  'c_UNIV'  [163, 0]      (w:1, o:93, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OUnionE__1'  [164, 3]      (w:1, o:455, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OsubsetI__1'  [165, 3]      (w:1, o:456, a:1, s:1, b:0), 
% 1.83/2.24  'c_Sum__Type_OInl'  [166, 3]      (w:1, o:457, a:1, s:1, b:0), 
% 1.83/2.24  'c_Sum__Type_OPlus'  [167, 4]      (w:1, o:503, a:1, s:1, b:0), 
% 1.83/2.24  'tc_sum'  [168, 2]      (w:1, o:388, a:1, s:1, b:0), 
% 1.83/2.24  'c_Sum__Type_OInr'  [169, 3]      (w:1, o:458, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OPlusE__1'  [170, 4]      (w:1, o:504, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OPlusE__2'  [171, 4]      (w:1, o:505, a:1, s:1, b:0), 
% 1.83/2.24  'c_Transitive__Closure_Ortrancl'  [172, 2]      (w:1, o:361, a:1, s:1, b:0)
% 1.83/2.24    , 
% 1.83/2.24  'c_Transitive__Closure_Otrancl'  [173, 2]      (w:1, o:362, a:1, s:1, b:0)
% 1.83/2.24    , 
% 1.83/2.24  'c_Wellfounded__Relations_Oless__than'  [174, 0]      (w:1, o:94, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'c_Relation_Otrans'  [175, 2]      (w:1, o:384, a:1, s:1, b:0), 
% 1.83/2.24  'c_Wellfounded__Relations_Olex__prod'  [178, 4]      (w:1, o:506, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'tc_Datatype_Ooption'  [182, 1]      (w:1, o:214, a:1, s:1, b:0), 
% 1.83/2.24  'class_Finite__Set_Ofinite'  [183, 1]      (w:1, o:215, a:1, s:1, b:0), 
% 1.83/2.24  'class_HOL_Ominus'  [184, 1]      (w:1, o:216, a:1, s:1, b:0), 
% 1.83/2.24  'class_HOL_Oone'  [185, 1]      (w:1, o:217, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Osemiring'  [186, 1]      (w:1, o:220, a:1, s:1, b:
% 1.83/2.24    0), 
% 1.83/2.24  'class_Ring__and__Field_Ocomm__semiring'  [187, 1]      (w:1, o:223, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Ocomm__monoid__add'  [188, 1]      (w:1, o:224, a:1, s:
% 1.83/2.24    1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Osemiring__0'  [189, 1]      (w:1, o:225, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'class_Ring__and__Field_Ocomm__semiring__0'  [190, 1]      (w:1, o:226, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Ocancel__semigroup__add'  [191, 1]      (w:1, o:227, a:
% 1.83/2.24    1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [192, 1]      (w:1, o:228
% 1.83/2.24    , a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Oab__group__add'  [193, 1]      (w:1, o:229, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'class_Ring__and__Field_Osemiring__0__cancel'  [194, 1]      (w:1, o:230
% 1.83/2.24    , a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oring'  [195, 1]      (w:1, o:218, a:1, s:1, b:0), 
% 1.83/2.24    
% 1.83/2.24  'class_HOL_Oplus'  [196, 1]      (w:1, o:231, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Ocomm__semiring__0__cancel'  [197, 1]      (w:1, o:
% 1.83/2.24    232, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Ocomm__ring'  [198, 1]      (w:1, o:221, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oaxclass__0__neq__1'  [199, 1]      (w:1, o:233, a:
% 1.83/2.24    1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Omonoid__mult'  [200, 1]      (w:1, o:238, a:1, s:1, b:
% 1.83/2.24    0), 
% 1.83/2.24  'class_OrderedGroup_Ocomm__monoid__mult'  [201, 1]      (w:1, o:239, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Osemiring__1'  [202, 1]      (w:1, o:240, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'class_Ring__and__Field_Ocomm__semiring__1'  [203, 1]      (w:1, o:241, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Osemiring__1__cancel'  [204, 1]      (w:1, o:242
% 1.83/2.24    , a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oring__1'  [205, 1]      (w:1, o:219, a:1, s:1, b:0
% 1.83/2.24    ), 
% 1.83/2.24  'class_Ring__and__Field_Ocomm__semiring__1__cancel'  [206, 1]      (w:1, o:
% 1.83/2.24    243, a:1, s:1, b:0), 
% 1.83/2.24  'class_HOL_Otimes'  [207, 1]      (w:1, o:244, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Ocomm__ring__1'  [208, 1]      (w:1, o:222, a:1, s:
% 1.83/2.24    1, b:0), 
% 1.83/2.24  'class_LOrder_Omeet__semilorder'  [209, 1]      (w:1, o:246, a:1, s:1, b:0)
% 1.83/2.24    , 
% 1.83/2.24  'class_LOrder_Ojoin__semilorder'  [210, 1]      (w:1, o:247, a:1, s:1, b:0)
% 1.83/2.24    , 
% 1.83/2.24  'class_LOrder_Olorder'  [211, 1]      (w:1, o:245, a:1, s:1, b:0), 
% 1.83/2.24  'class_Orderings_Olinorder'  [212, 1]      (w:1, o:248, a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Opordered__ab__semigroup__add'  [213, 1]      (w:1, o:
% 1.83/2.24    250, a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [214, 1]      
% 1.83/2.24    (w:1, o:251, a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [215, 1]      
% 1.83/2.24    (w:1, o:252, a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'  [216, 1]      
% 1.83/2.24    (w:1, o:249, a:1, s:1, b:0), 
% 1.83/2.24  'class_HOL_Ozero'  [217, 1]      (w:1, o:253, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Opordered__semiring'  [218, 1]      (w:1, o:261, a:
% 1.83/2.24    1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Opordered__cancel__semiring'  [219, 1]      (w:1
% 1.83/2.24    , o:262, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oordered__semiring__strict'  [220, 1]      (w:1, o:
% 1.83/2.24    255, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Opordered__comm__semiring'  [221, 1]      (w:1, o:
% 1.83/2.24    264, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Opordered__cancel__comm__semiring'  [222, 1]      
% 1.83/2.24    (w:1, o:265, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [223, 1]      
% 1.83/2.24    (w:1, o:256, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oaxclass__abs__if'  [224, 1]      (w:1, o:266, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Opordered__ab__group__add'  [225, 1]      (w:1, o:267
% 1.83/2.24    , a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Olordered__ab__group'  [226, 1]      (w:1, o:234, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Opordered__ring'  [227, 1]      (w:1, o:260, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_Orderings_Oord'  [228, 1]      (w:1, o:268, a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Olordered__ab__group__abs'  [229, 1]      (w:1, o:235
% 1.83/2.24    , a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Olordered__ab__group__meet'  [230, 1]      (w:1, o:236
% 1.83/2.24    , a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Olordered__ab__group__join'  [231, 1]      (w:1, o:237
% 1.83/2.24    , a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Olordered__ring'  [232, 1]      (w:1, o:269, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oaxclass__no__zero__divisors'  [233, 1]      (w:1
% 1.83/2.24    , o:270, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oordered__ring__strict'  [234, 1]      (w:1, o:254
% 1.83/2.24    , a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oordered__semidom'  [235, 1]      (w:1, o:257, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Oidom'  [236, 1]      (w:1, o:271, a:1, s:1, b:0), 
% 1.83/2.24    
% 1.83/2.24  'class_Ring__and__Field_Oordered__idom'  [237, 1]      (w:1, o:258, a:1, s:
% 1.83/2.24    1, b:0), 
% 1.83/2.24  'class_Numeral_Onumber'  [238, 1]      (w:1, o:210, a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Osemigroup__add'  [239, 1]      (w:1, o:272, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'class_Numeral_Onumber__ring'  [240, 1]      (w:1, o:211, a:1, s:1, b:0), 
% 1.83/2.24  'class_Divides_Odiv'  [241, 1]      (w:1, o:273, a:1, s:1, b:0), 
% 1.83/2.24  'class_Nat_Opower'  [242, 1]      (w:1, o:212, a:1, s:1, b:0), 
% 1.83/2.24  'class_Power_Orecpower'  [243, 1]      (w:1, o:277, a:1, s:1, b:0), 
% 1.83/2.24  'class_Parity_Oeven__odd'  [244, 1]      (w:1, o:278, a:1, s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Oab__semigroup__add'  [245, 1]      (w:1, o:274, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_OrderedGroup_Osemigroup__mult'  [246, 1]      (w:1, o:275, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'class_OrderedGroup_Oab__semigroup__mult'  [247, 1]      (w:1, o:276, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'tc_Product__Type_Ounit'  [248, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 1.83/2.24  'tc_bool'  [249, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 1.83/2.24  'tc_fun'  [251, 2]      (w:1, o:389, a:1, s:1, b:0), 
% 1.83/2.24  'class_Wellfounded__Recursion_Owellorder'  [252, 1]      (w:1, o:279, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Odivision__by__zero'  [254, 1]      (w:1, o:280, a:
% 1.83/2.24    1, s:1, b:0), 
% 1.83/2.24  'class_HOL_Oinverse'  [255, 1]      (w:1, o:281, a:1, s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Ofield'  [256, 1]      (w:1, o:282, a:1, s:1, b:0)
% 1.83/2.24    , 
% 1.83/2.24  'class_Ring__and__Field_Oordered__field'  [257, 1]      (w:1, o:259, a:1
% 1.83/2.24    , s:1, b:0), 
% 1.83/2.24  'class_Ring__and__Field_Opordered__comm__ring'  [258, 1]      (w:1, o:263
% 1.83/2.24    , a:1, s:1, b:0), 
% 1.83/2.24  'c_Binomial_Obinomial'  [259, 2]      (w:1, o:390, a:1, s:1, b:0), 
% 1.83/2.24  'c_plus'  [260, 3]      (w:1, o:459, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype_Oo2s'  [262, 2]      (w:1, o:391, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype_Ooption_OSome'  [263, 2]      (w:1, o:392, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype_Ooption_ONone'  [264, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Onot__None__eq__1'  [265, 2]      (w:1, o:370, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_Onot__Some__eq__1'  [266, 2]      (w:1, o:371, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype_Othe'  [269, 2]      (w:1, o:393, a:1, s:1, b:0), 
% 1.83/2.24  'c_Product__Type_OUnity'  [270, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype_Ounit_Ounit__case'  [271, 3]      (w:1, o:460, a:1, s:1, b:0), 
% 1.83/2.24    
% 1.83/2.24  'c_Datatype_Ounit_Ounit__rec'  [272, 3]      (w:1, o:461, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_OAtom'  [273, 3]      (w:1, o:462, a:1, s:1, b:0), 
% 1.83/2.24  'c_Datatype__Universe_Ontrunc'  [274, 4]      (w:1, o:507, a:1, s:1, b:0), 
% 1.83/2.24    
% 1.83/2.24  'c_div'  [276, 3]      (w:1, o:463, a:1, s:1, b:0), 
% 1.83/2.24  'c_Equiv__Relations_Oquotient'  [277, 3]      (w:1, o:464, a:1, s:1, b:0), 
% 1.83/2.24    
% 1.83/2.24  'c_Extraction_Osumbool_OLeft'  [279, 0]      (w:1, o:62, a:1, s:1, b:0), 
% 1.83/2.24  'c_Extraction_Osumbool_Osumbool__case'  [280, 4]      (w:1, o:508, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'c_Extraction_Osumbool_ORight'  [282, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 1.83/2.24  'c_Extraction_Osumbool_Osumbool__rec'  [283, 4]      (w:1, o:509, a:1, s:1
% 1.83/2.24    , b:0), 
% 1.83/2.24  'tc_Extraction_Osumbool'  [284, 0]      (w:1, o:113, a:1, s:1, b:0), 
% 1.83/2.24  'c_Finite__Set_OMax'  [285, 2]      (w:1, o:397, a:1, s:1, b:0), 
% 1.83/2.24  'c_Orderings_Omax'  [286, 3]      (w:1, o:470, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OMax__le__iff__1'  [287, 3]      (w:1, o:471, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OMax__less__iff__1'  [288, 3]      (w:1, o:472, a:1, s:1, b:0), 
% 1.83/2.24  'c_Finite__Set_OMin'  [289, 2]      (w:1, o:398, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OMin__ge__iff__1'  [290, 3]      (w:1, o:473, a:1, s:1, b:0), 
% 1.83/2.24  'c_Main_OMin__gr__iff__1'  [291, 3]      (w:1, o:474, a:1, s:1, b:0), 
% 1.83/2.24  'c_Orderings_Omin'  [292, 3]      (w:1, o:475, a:1, s:1, b:0), 
% 1.83/2.24  'c_Finite__Set_Ocard'  [293, 2]      (w:1, o:399, a:1, s:1, b:0), 
% 1.83/2.24  'c_minus'  [295, 3]      (w:1, o:476, a:1, s:1, b:0), 
% 1.83/2.24  'c_Pow'  [296, 2]      (w:1, o:402, a:1, s:1, b:0), 
% 1.83/2.24  'c_union'  [297, 3]      (w:1, o:477, a:1, s:1, b:0), 
% 1.83/2.24  'c_NatArith_Oof__nat'  [298, 2]      (w:1, o:403, a:1, s:1, b:0), 
% 1.83/2.24  'c_Fun_Oid'  [299, 2]      (w:1, o:404, a:1, s:1, b:0), 
% 1.83/2.24  'c_Numeral_OMin'  [300, 0]      (w:1, o:117, a:1, s:1, b:0), 
% 1.83/2.24  'c_Numeral_Onumber__of'  [301, 2]      (w:1, o:405, a:1, s:1, b:0), 
% 1.83/2.24  'c_HOL_Oabs'  [302, 2]      (w:1, o:364, a:1, s:1, b:0), 
% 1.83/2.24  'c_Nat_Opower'  [303, 3]      (w:1, o:469, a:1, s:1, b:0), 
% 1.83/2.24  'c_Numeral_OPls'  [304, 0]      (w:1, o:118, a:1, s:1, b:0), 
% 1.83/2.24  'c_Numeral_Obin__minus'  [305, 1]      (w:1, o:294, a:1, s:1, b:0), 
% 1.83/2.24  'c_Numeral_Obin__add'  [306, 2]      (w:1, o:406, a:1, s:1, b:0), 
% 1.83/2.24  'c_IntDef_Oneg'  [307, 2]      (w:1, o:407, a:1, s:1, b:0), 
% 1.83/2.24  'c_Numeral_Obit_OB1'  [308, 0]      (w:1, o:120, a:1, s:1, b:0), 
% 1.83/2.24  'c_Numeral_OBit'  [309, 2]      (w:1, o:408, a:1, s:1, b:0), 
% 1.83/2.24  'c_Numeral_Obit_OB0'  [310, 0]      (w:1, o:119, a:1, s:1, b:0), 
% 1.83/2.24  'c_IntDef_Oiszero'  [312, 2]      (w:1, o:409, a:1, s:1, b:0), 
% 1.83/2.24  'c_IntDef_Onat'  [313, 1]      (w:1, o:295, a:1, s:1, b:0), 
% 1.83/2.24  'c_IntDef_Oof__int'  [314, 2]      (w:1, o:410, a:1, s:1, b:0), 
% 1.83/2.24  'c_IntDef_OInteg'  [316, 0]      (w:1, o:122, a:1, s:1, b:0), 
% 1.83/2.24  'c_IntDef_OAbs__Integ'  [317, 1]      (w:1, o:296, a:1, s:1, b:0), 
% 1.83/2.24  'c_IntDef_ORep__Integ'  [318, 1]      (w:1, o:297, a:1, s:1, b:0), 
% 1.83/2.24  'c_IntDef_OInts'  [319, 0]      (w:1, o:123, a:1, s:1, b:0), 
% 1.83/2.25  'c_IntDef_ONats'  [320, 0]      (w:1, o:124, a:1, s:1, b:0), 
% 1.83/2.25  'c_IntDef_Ointrel'  [321, 0]      (w:1, o:125, a:1, s:1, b:0), 
% 1.83/2.25  'c_IntDiv_OposDivAlg'  [322, 1]      (w:1, o:298, a:1, s:1, b:0), 
% 1.83/2.25  'c_IntDiv_OnegateSnd'  [323, 1]      (w:1, o:299, a:1, s:1, b:0), 
% 1.83/2.25  'c_fst'  [324, 3]      (w:1, o:478, a:1, s:1, b:0), 
% 1.83/2.25  'c_IntDiv_OnegDivAlg'  [325, 1]      (w:1, o:300, a:1, s:1, b:0), 
% 1.83/2.25  'c_snd'  [326, 3]      (w:1, o:423, a:1, s:1, b:0), 
% 1.83/2.25  'c_IntDiv_Oadjust'  [327, 2]      (w:1, o:411, a:1, s:1, b:0), 
% 1.83/2.25  'c_LOrder_Ojoin'  [329, 3]      (w:1, o:431, a:1, s:1, b:0), 
% 1.83/2.25  'c_LOrder_Omeet'  [330, 3]      (w:1, o:432, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Oconcat'  [332, 2]      (w:1, o:336, a:1, s:1, b:0), 
% 1.83/2.25  'c_Main_ONil__eq__concat__conv__1'  [333, 2]      (w:1, o:372, a:1, s:1, b:
% 1.83/2.25    0), 
% 1.83/2.25  'c_append'  [334, 3]      (w:1, o:479, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Orev'  [335, 2]      (w:1, o:339, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Obutlast'  [337, 2]      (w:1, o:335, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Olast'  [338, 2]      (w:1, o:346, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Otake'  [341, 3]      (w:1, o:436, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Odrop'  [342, 3]      (w:1, o:437, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Ochar_OChar'  [345, 2]      (w:1, o:337, a:1, s:1, b:0), 
% 1.83/2.25  'tc_List_Ochar'  [348, 0]      (w:1, o:131, a:1, s:1, b:0), 
% 1.83/2.25  'c_Main_Oconcat__eq__Nil__conv__1'  [349, 2]      (w:1, o:373, a:1, s:1, b:
% 1.83/2.25    0), 
% 1.83/2.25  'c_List_Orotate1'  [350, 2]      (w:1, o:340, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Oremove1'  [351, 3]      (w:1, o:438, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Orotate'  [352, 3]      (w:1, o:439, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Osublist'  [354, 3]      (w:1, o:434, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Oupt'  [356, 2]      (w:1, o:348, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Oreplicate'  [357, 3]      (w:1, o:433, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Ohd'  [358, 2]      (w:1, o:349, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Otl'  [359, 2]      (w:1, o:347, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Oitrev'  [360, 3]      (w:1, o:440, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Olist__update'  [362, 4]      (w:1, o:488, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Ozip'  [363, 4]      (w:1, o:489, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Olexn'  [364, 3]      (w:1, o:441, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Olexord'  [365, 2]      (w:1, o:350, a:1, s:1, b:0), 
% 1.83/2.25  'c_Main_Olexord__Nil__left__1'  [366, 2]      (w:1, o:353, a:1, s:1, b:0), 
% 1.83/2.25    
% 1.83/2.25  'c_Main_Olexord__Nil__left__2'  [367, 2]      (w:1, o:354, a:1, s:1, b:0), 
% 1.83/2.25    
% 1.83/2.25  'c_List_Olist__inter'  [373, 3]      (w:1, o:442, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onth'  [374, 3]      (w:1, o:443, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Olistset'  [375, 2]      (w:1, o:351, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Oset__Cons'  [377, 3]      (w:1, o:435, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble9'  [391, 0]      (w:1, o:144, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_Onibble__case'  [392, 18]      (w:1, o:533, a:1, s:1, b:0)
% 1.83/2.25    , 
% 1.83/2.25  'c_List_Onibble_ONibbleA'  [394, 0]      (w:1, o:145, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibbleB'  [395, 0]      (w:1, o:146, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibbleC'  [396, 0]      (w:1, o:147, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibbleD'  [397, 0]      (w:1, o:148, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibbleE'  [398, 0]      (w:1, o:149, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibbleF'  [399, 0]      (w:1, o:150, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble0'  [400, 0]      (w:1, o:151, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble1'  [401, 0]      (w:1, o:152, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble2'  [402, 0]      (w:1, o:153, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble3'  [403, 0]      (w:1, o:154, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble4'  [404, 0]      (w:1, o:155, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble5'  [405, 0]      (w:1, o:156, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble6'  [406, 0]      (w:1, o:157, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble7'  [407, 0]      (w:1, o:158, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_ONibble8'  [408, 0]      (w:1, o:143, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onibble_Onibble__rec'  [409, 18]      (w:1, o:534, a:1, s:1, b:0), 
% 1.83/2.25    
% 1.83/2.25  'tc_List_Onibble'  [410, 0]      (w:1, o:159, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Onull'  [411, 2]      (w:1, o:352, a:1, s:1, b:0), 
% 1.83/2.25  'c_List_Oop_Amem'  [412, 3]      (w:1, o:444, a:1, s:1, b:0), 
% 1.83/2.25  'c_Map_Omap__of'  [415, 4]      (w:1, o:510, a:1, s:1, b:0), 
% 1.95/2.28  'c_Numeral_Obin__succ'  [416, 1]      (w:1, o:301, a:1, s:1, b:0), 
% 1.95/2.28  'c_Numeral_Obin__mult'  [418, 2]      (w:1, o:412, a:1, s:1, b:0), 
% 1.95/2.28  'c_divide'  [419, 3]      (w:1, o:480, a:1, s:1, b:0), 
% 1.95/2.28  'c_HOL_Oinverse'  [420, 2]      (w:1, o:365, a:1, s:1, b:0), 
% 1.95/2.28  'c_Numeral_Obin__pred'  [421, 1]      (w:1, o:302, a:1, s:1, b:0), 
% 1.95/2.28  'c_Numeral_Obit_Obit__case'  [422, 4]      (w:1, o:511, a:1, s:1, b:0), 
% 1.95/2.28  'c_Numeral_Obit_Obit__rec'  [423, 4]      (w:1, o:512, a:1, s:1, b:0), 
% 1.95/2.28  'tc_Numeral_Obit'  [424, 0]      (w:1, o:162, a:1, s:1, b:0), 
% 1.95/2.28  'c_OrderedGroup_Onprt'  [425, 2]      (w:1, o:400, a:1, s:1, b:0), 
% 1.95/2.28  'c_OrderedGroup_Opprt'  [426, 2]      (w:1, o:401, a:1, s:1, b:0), 
% 1.95/2.28  'c_Parity_Oeven'  [427, 2]      (w:1, o:413, a:1, s:1, b:0), 
% 1.95/2.28  'c_Main_Osurj__pair__1'  [429, 3]      (w:1, o:465, a:1, s:1, b:0), 
% 1.95/2.28  'c_Main_Osurj__pair__2'  [430, 3]      (w:1, o:466, a:1, s:1, b:0), 
% 1.95/2.28  'c_SetInterval_OatLeast'  [432, 2]      (w:1, o:358, a:1, s:1, b:0), 
% 1.95/2.28  'c_SetInterval_OgreaterThan'  [433, 2]      (w:1, o:359, a:1, s:1, b:0), 
% 1.95/2.28  'c_Main_OInter__UNIV__conv__1__1'  [434, 2]      (w:1, o:374, a:1, s:1, b:0
% 1.95/2.28    ), 
% 1.95/2.28  'c_Main_OInter__UNIV__conv__2__1'  [435, 2]      (w:1, o:375, a:1, s:1, b:0
% 1.95/2.28    ), 
% 1.95/2.28  'c_Main_OInter__iff__1'  [436, 3]      (w:1, o:467, a:1, s:1, b:0), 
% 1.95/2.28  'c_Main_OUnion__empty__conv__1'  [437, 2]      (w:1, o:376, a:1, s:1, b:0)
% 1.95/2.28    , 
% 1.95/2.28  'c_Main_OUnion__iff__1'  [438, 3]      (w:1, o:468, a:1, s:1, b:0), 
% 1.95/2.28  'c_Main_Oall__not__in__conv__1'  [439, 2]      (w:1, o:377, a:1, s:1, b:0)
% 1.95/2.28    , 
% 1.95/2.28  'c_Set_Ocontents'  [440, 2]      (w:1, o:360, a:1, s:1, b:0), 
% 1.95/2.28  'c_Main_Oempty__Union__conv__1'  [441, 2]      (w:1, o:356, a:1, s:1, b:0)
% 1.95/2.28    , 
% 1.95/2.28  'c_Wellfounded__Recursion_Oacyclic'  [442, 2]      (w:1, o:414, a:1, s:1
% 1.95/2.28    , b:0), 
% 1.95/2.28  'c_Message_Omsg_OMPair'  [445, 2]      (w:1, o:378, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Oparts'  [447, 1]      (w:1, o:283, a:1, s:1, b:0), 
% 1.95/2.28  'tc_Message_Omsg'  [448, 0]      (w:1, o:160, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Oagent_OServer'  [449, 0]      (w:1, o:114, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Oagent_OFriend'  [451, 1]      (w:1, o:284, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Oagent_OSpy'  [452, 0]      (w:1, o:115, a:1, s:1, b:0), 
% 1.95/2.28  'tc_Message_Oagent'  [454, 0]      (w:1, o:161, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_OinvKey'  [455, 1]      (w:1, o:285, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_OkeysFor'  [459, 1]      (w:1, o:286, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Omsg_OAgent'  [460, 1]      (w:1, o:287, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Omsg_OCrypt'  [461, 2]      (w:1, o:379, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Omsg_OHash'  [462, 1]      (w:1, o:288, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Omsg_OKey'  [463, 1]      (w:1, o:289, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Omsg_ONonce'  [464, 1]      (w:1, o:290, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Omsg_ONumber'  [465, 1]      (w:1, o:291, a:1, s:1, b:0), 
% 1.95/2.28  'c_Event_Obad'  [474, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 1.95/2.28  'c_Event_Oknows'  [476, 2]      (w:1, o:394, a:1, s:1, b:0), 
% 1.95/2.28  'c_Event_Oused'  [477, 1]      (w:1, o:303, a:1, s:1, b:0), 
% 1.95/2.28  'c_Event_Oevent_OSays'  [480, 3]      (w:1, o:481, a:1, s:1, b:0), 
% 1.95/2.28  'c_Event_Oevent_OGets'  [481, 2]      (w:1, o:395, a:1, s:1, b:0), 
% 1.95/2.28  'c_Event_Oevent_ONotes'  [482, 2]      (w:1, o:396, a:1, s:1, b:0), 
% 1.95/2.28  'tc_Event_Oevent'  [485, 0]      (w:1, o:171, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Osynth'  [486, 1]      (w:1, o:292, a:1, s:1, b:0), 
% 1.95/2.28  'v_sko__uhi'  [487, 2]      (w:1, o:415, a:1, s:1, b:0), 
% 1.95/2.28  'c_Event_OinitState'  [488, 1]      (w:1, o:304, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_Oanalz'  [489, 1]      (w:1, o:293, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_OHPair'  [492, 2]      (w:1, o:380, a:1, s:1, b:0), 
% 1.95/2.28  'c_Public_OpublicKey'  [495, 2]      (w:1, o:416, a:1, s:1, b:0), 
% 1.95/2.28  'c_Public_OshrK'  [496, 1]      (w:1, o:305, a:1, s:1, b:0), 
% 1.95/2.28  'c_Message_OsymKeys'  [497, 0]      (w:1, o:116, a:1, s:1, b:0), 
% 1.95/2.28  'c_Public_Okeymode_OSignature'  [498, 0]      (w:1, o:174, a:1, s:1, b:0), 
% 1.95/2.28    
% 1.95/2.28  'c_Public_Okeymode_Okeymode__case'  [499, 4]      (w:1, o:513, a:1, s:1, b:
% 1.95/2.28    0), 
% 1.95/2.28  'c_Public_Okeymode_OEncryption'  [500, 0]      (w:1, o:175, a:1, s:1, b:0)
% 1.95/2.28    , 
% 1.95/2.28  'c_Public_Okeymode_Okeymode__rec'  [501, 4]      (w:1, o:514, a:1, s:1, b:0
% 1.95/2.28    ), 
% 1.95/2.28  'tc_Public_Okeymode'  [502, 0]      (w:1, o:176, a:1, s:1, b:0), 
% 1.95/2.28  'c_Yahalom_Oyahalom'  [504, 0]      (w:1, o:177, a:1, s:1, b:0), 
% 1.95/2.28  'v_sko__wPE'  [507, 3]      (w:1, o:482, a:1, s:1, b:0), 
% 1.95/2.28  'c_Yahalom_OKeyWithNonce'  [509, 3]      (w:1, o:483, a:1, s:1, b:0), 
% 1.95/2.28  'v_sko__2VZ'  [510, 4]      (w:1, o:515, a:1, s:1, b:0), 
% 1.95/2.28  'v_sko__2Va'  [511, 4]      (w:1, o:516, a:1, s:1, b:0), 
% 1.95/2.28  'v_sko__2Vb'  [512, 4]      (w:1, o:517, a:1, s:1, b:0), 
% 1.95/2.28  'v_sko__2VY'  [521, 1]      (w:1, o:306, a:1, s:1, b:0), 
% 1.95/2.28  'v_A'  [523, 0]      (w:1, o:188, a:1, s:1, b:0), 
% 1.95/2.28  'v_B'  [524, 0]      (w:1, o:190, a:1, s:1, b:0), 
% 1.95/2.28  'v_K'  [525, 0]      (w:1, o:191, a:1, s:1, b:0), 
% 1.95/2.28  'v_NA'  [526, 0]      (w:1, o:192, a:1, s:1, b:0), 
% 1.95/2.28  'v_NAa'  [527, 0]      (w:1, o:193, a:1, s:1, b:0), 
% 1.95/2.28  'v_NB'  [528, 0]      (w:1, o:194, a:1, s:1, b:0), 
% 1.95/2.28  'v_NBa'  [529, 0]      (w:1, o:195, a:1, s:1, b:0), 
% 1.95/2.28  'v_evso'  [530, 0]      (w:1, o:196, a:1, s:1, b:0), 
% 1.95/2.28  'v_Aa'  [531, 0]      (w:1, o:189, a:1, s:1, b:0), 
% 1.95/2.28  'v_Ba'  [532, 0]      (w:1, o:197, a:1, s:1, b:0), 
% 1.95/2.28  'v_X'  [533, 0]      (w:1, o:198, a:1, s:1, b:0), 
% 1.95/2.28  'v_k'  [534, 0]      (w:1, o:199, a:1, s:1, b:0).
% 1.95/2.28  
% 1.95/2.28  
% 1.95/2.28  Starting Search:
% 1.95/2.28  
% 1.95/2.28  
% 1.95/2.28  Bliksems!, er is een bewijs:
% 1.95/2.28  % SZS status Unsatisfiable
% 1.95/2.28  % SZS output start Refutation
% 1.95/2.28  
% 1.95/2.28  clause( 2836, [ ~( 'c_in'( 'c_Event_Oevent_ONotes'( 'c_Message_Oagent_OSpy'
% 1.95/2.28    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 1.95/2.28    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), X ) ) ), 
% 1.95/2.28    'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 1.95/2.28  .
% 1.95/2.28  clause( 2838, [] )
% 1.95/2.28  .
% 1.95/2.28  
% 1.95/2.28  
% 1.95/2.28  % SZS output end Refutation
% 1.95/2.28  found a proof!
% 1.95/2.28  
% 1.95/2.28  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.95/2.28  
% 1.95/2.28  initialclauses(
% 1.95/2.28  [ clause( 2840, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.95/2.28  , clause( 2841, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.95/2.28  , clause( 2842, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 1.95/2.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.95/2.28    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 1.95/2.28    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 1.95/2.28    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 1.95/2.28    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.95/2.28  , clause( 2843, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 1.95/2.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.28    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.95/2.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.95/2.28  , clause( 2844, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 1.95/2.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.28    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.95/2.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.95/2.28  , clause( 2845, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.95/2.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.28    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 1.95/2.28    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.95/2.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 1.95/2.28  , clause( 2846, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.95/2.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.95/2.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.95/2.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.95/2.28  , clause( 2847, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.95/2.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.28    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.95/2.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.95/2.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.95/2.28  , clause( 2848, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.95/2.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.28    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.95/2.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.95/2.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.95/2.28  , clause( 2849, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.95/2.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.28    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.95/2.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.28    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.95/2.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.95/2.28  , clause( 2850, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.95/2.28    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.95/2.28    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.95/2.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 1.95/2.28  , clause( 2851, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.95/2.28    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.95/2.28    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.95/2.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 1.95/2.28  , clause( 2852, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 1.95/2.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.95/2.28    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 1.95/2.28    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 1.95/2.28  , clause( 2853, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 1.95/2.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 1.95/2.28  , clause( 2854, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 1.95/2.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 1.95/2.28  , clause( 2855, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 1.95/2.28    Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.95/2.28    , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 1.95/2.28  , clause( 2856, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.95/2.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 1.95/2.28    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.95/2.28     ) ) ] )
% 1.95/2.28  , clause( 2857, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.95/2.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 2858, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.95/2.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 2859, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.95/2.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 1.95/2.28    , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 1.95/2.28  , clause( 2860, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 1.95/2.28    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 1.95/2.28  , clause( 2861, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 1.95/2.28    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 1.95/2.28  , clause( 2862, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 1.95/2.28  , clause( 2863, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 2864, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 2865, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 2866, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), 
% 1.95/2.28    =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 2867, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.95/2.28    X ) ) ] )
% 1.95/2.28  , clause( 2868, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.95/2.28    , 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 2869, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.95/2.28    , 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 2870, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.95/2.28    , 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 2871, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.95/2.28    'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 
% 1.95/2.28    'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 
% 1.95/2.28    'tc_set'( Y ) ) ] )
% 1.95/2.28  , clause( 2872, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.95/2.28    'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 1.95/2.28  , clause( 2873, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 1.95/2.28    'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 1.95/2.28  , clause( 2874, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 1.95/2.28    'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 1.95/2.28  , clause( 2875, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z
% 1.95/2.28    , X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 1.95/2.28  , clause( 2876, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 
% 1.95/2.28    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2877, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 1.95/2.28    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2878, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2879, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2880, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 
% 1.95/2.28    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2881, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 
% 1.95/2.28    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2882, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 
% 1.95/2.28    'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 
% 1.95/2.28    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.28  , clause( 2883, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 1.95/2.28  , clause( 2884, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 
% 1.95/2.28    'tc_set'( Y ) ) ] )
% 1.95/2.28  , clause( 2885, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 1.95/2.28     ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 2886, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 1.95/2.28     ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 2887, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 
% 1.95/2.28    'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 1.95/2.28  , clause( 2888, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 1.95/2.28    , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 2889, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.95/2.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 1.95/2.28    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 1.95/2.28    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 1.95/2.28  , clause( 2890, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.95/2.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.95/2.28    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 1.95/2.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.28  , clause( 2891, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.95/2.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.95/2.28    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 1.95/2.28    'tc_prod'( Z, Z ) ) ] )
% 1.95/2.28  , clause( 2892, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.95/2.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 1.95/2.28    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 1.95/2.28    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 1.95/2.28  , clause( 2893, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.95/2.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.95/2.28    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 1.95/2.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 1.95/2.28  , clause( 2894, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.95/2.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.95/2.28    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 1.95/2.28    'tc_prod'( T, T ) ) ] )
% 1.95/2.28  , clause( 2895, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 1.95/2.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.95/2.28    'c_List_Olist_ONil' ) ] )
% 1.95/2.28  , clause( 2896, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 1.95/2.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 1.95/2.28    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.95/2.28    'c_List_Olist_ONil' ) ] )
% 1.95/2.28  , clause( 2897, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.28    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 
% 1.95/2.28    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 1.95/2.28  , clause( 2898, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.28    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 1.95/2.28  , clause( 2899, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 1.95/2.28    , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 1.95/2.28    , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 1.95/2.28  , clause( 2900, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 
% 1.95/2.28    'tc_List_Olist'( Y ) ) ] )
% 1.95/2.28  , clause( 2901, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.95/2.28    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 1.95/2.28    Y ) ) ] )
% 1.95/2.28  , clause( 2902, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.95/2.28    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.95/2.28     ) ) ] )
% 1.95/2.28  , clause( 2903, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 1.95/2.28  , clause( 2904, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.95/2.28  , clause( 2905, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 2906, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.95/2.28  , clause( 2907, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 1.95/2.28    , X ) ] )
% 1.95/2.28  , clause( 2908, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 
% 1.95/2.28    'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 
% 1.95/2.28    'tc_prod'( Z, T ) ) ] )
% 1.95/2.28  , clause( 2909, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.95/2.28     ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 1.95/2.28  , clause( 2910, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), 
% 1.95/2.28    =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 1.95/2.28     ) ) ] )
% 1.95/2.28  , clause( 2911, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 1.95/2.28    'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 1.95/2.28  , clause( 2912, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 1.95/2.28    'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 
% 1.95/2.28    'tc_prod'( T, U ) ) ] )
% 1.95/2.28  , clause( 2913, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U )
% 1.95/2.28    , W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U )
% 1.95/2.28    , U ) ] )
% 1.95/2.28  , clause( 2914, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 
% 1.95/2.28    'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 
% 1.95/2.28    'tc_prod'( Z, T ) ) ] )
% 1.95/2.28  , clause( 2915, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.95/2.28     ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 1.95/2.28  , clause( 2916, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 1.95/2.28    'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 1.95/2.28    , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 2917, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 1.95/2.28    'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 1.95/2.28     ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 1.95/2.28  , clause( 2918, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z
% 1.95/2.28     ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( 
% 1.95/2.28    Y, X, Z ), Z, Z ) ) ] )
% 1.95/2.28  , clause( 2919, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z
% 1.95/2.28     ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 1.95/2.28  , clause( 2920, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 1.95/2.28    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 1.95/2.28  , clause( 2921, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 1.95/2.28    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 1.95/2.28    , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 
% 1.95/2.28    'tc_prod'( T, U ) ) ] )
% 1.95/2.28  , clause( 2922, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 1.95/2.28    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 1.95/2.28    , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 
% 1.95/2.28    'tc_prod'( W, T ) ) ] )
% 1.95/2.28  , clause( 2923, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 1.95/2.28    'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, 
% 1.95/2.28    T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 1.95/2.28  , clause( 2924, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.95/2.28     ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 
% 1.95/2.28    'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 1.95/2.28     ), 'tc_prod'( V0, T ) ) ] )
% 1.95/2.28  , clause( 2925, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 1.95/2.28    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 2926, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 1.95/2.28    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.95/2.28     ) ) ] )
% 1.95/2.28  , clause( 2927, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 1.95/2.28     ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 2928, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 1.95/2.28    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.95/2.28     ) ) ] )
% 1.95/2.28  , clause( 2929, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 2930, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 1.95/2.28    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 2931, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 1.95/2.28    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.95/2.28     ) ) ] )
% 1.95/2.28  , clause( 2932, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 1.95/2.28    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 2933, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 1.95/2.28    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.95/2.28     ) ) ] )
% 1.95/2.28  , clause( 2934, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 2935, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 
% 1.95/2.28    'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.95/2.28  , clause( 2936, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 
% 1.95/2.28    'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 1.95/2.28  , clause( 2937, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 1.95/2.28  , clause( 2938, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.95/2.28  , clause( 2939, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 1.95/2.28    'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 1.95/2.28  , clause( 2940, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 1.95/2.28  , clause( 2941, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 
% 1.95/2.28    Y, X, 'tc_set'( Z ) ) ) ] )
% 1.95/2.28  , clause( 2942, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 
% 1.95/2.28    Y, 'tc_set'( Z ) ) ] )
% 1.95/2.28  , clause( 2943, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, 
% 1.95/2.28    Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 1.95/2.28  , clause( 2944, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), 
% 1.95/2.28    =( X, Y ) ] )
% 1.95/2.28  , clause( 2945, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 1.95/2.28  , clause( 2946, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 
% 1.95/2.28    'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 1.95/2.28  , clause( 2947, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 
% 1.95/2.28    Z ) ) ), 'c_in'( X, T, Z ) ] )
% 1.95/2.28  , clause( 2948, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 1.95/2.28    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.95/2.28  , clause( 2949, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 1.95/2.28    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.95/2.28  , clause( 2950, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 1.95/2.28    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.95/2.28  , clause( 2951, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.95/2.28  , clause( 2952, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 1.95/2.28    , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 1.95/2.28  , clause( 2953, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 1.95/2.28    , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 1.95/2.28  , clause( 2954, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( 
% 1.95/2.28    T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T
% 1.95/2.28    , U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T
% 1.95/2.28     ) ) ] )
% 1.95/2.28  , clause( 2955, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( 
% 1.95/2.28    T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X, 
% 1.95/2.28    'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 1.95/2.28  , clause( 2956, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( 
% 1.95/2.28    T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X, 
% 1.95/2.28    'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 1.95/2.28  , clause( 2957, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( 
% 1.95/2.28    T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'( 
% 1.95/2.28    'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 1.95/2.28  , clause( 2958, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 1.95/2.28    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 1.95/2.28  , clause( 2959, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 1.95/2.28    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 1.95/2.28  , clause( 2960, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 1.95/2.28     ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.95/2.28     ), 'tc_prod'( Z, Z ) ) ] )
% 1.95/2.28  , clause( 2961, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 1.95/2.28    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 1.95/2.28    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 1.95/2.28    'tc_prod'( Z, Z ) ) ] )
% 1.95/2.28  , clause( 2962, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 1.95/2.28  , clause( 2963, [ 'c_Relation_Otrans'( 
% 1.95/2.28    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 1.95/2.28  , clause( 2964, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( 
% 1.95/2.28    Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, 
% 1.95/2.28    X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 1.95/2.28  , clause( 2965, [ 'c_Wellfounded__Recursion_Owf'( 
% 1.95/2.28    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 1.95/2.28  , clause( 2966, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 1.95/2.28    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 1.95/2.28    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 2967, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) )
% 1.95/2.28    , ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 1.95/2.28  , clause( 2968, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2969, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2970, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 2971, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2972, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint'
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 2973, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 2974, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2975, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2976, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2977, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 2978, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2979, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2980, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2981, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2982, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 2983, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2984, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 2985, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2986, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 2987, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2988, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2989, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 2990, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2991, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2992, [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint'
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 2993, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2994, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2995, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2996, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2997, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2998, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 2999, [ 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3000, [ 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3001, [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3002, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3003, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3004, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3005, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3006, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3007, [ 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3008, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3009, [ 'class_Ring__and__Field_Oaxclass__abs__if'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3010, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3011, [ 'class_OrderedGroup_Olordered__ab__group'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3012, [ 'class_Ring__and__Field_Opordered__ring'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3013, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3014, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3015, [ 'class_OrderedGroup_Olordered__ab__group__meet'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3016, [ 'class_OrderedGroup_Olordered__ab__group__join'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3017, [ 'class_Ring__and__Field_Olordered__ring'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3018, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3019, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3020, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3021, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3022, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint'
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 3023, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3024, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3025, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3026, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3027, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3028, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3029, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3030, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3031, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3032, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 1.95/2.28    'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 3033, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3034, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 1.95/2.28  , clause( 3035, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 1.95/2.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3036, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 1.95/2.28  , clause( 3037, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3038, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3039, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3040, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3041, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3042, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3043, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3044, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3045, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3046, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3047, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3048, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3049, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3050, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3051, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3052, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3053, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3054, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3055, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3056, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3057, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3058, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 3059, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3060, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3061, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3062, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 3063, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 3064, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 3065, [ 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3066, [ 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3067, [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 3068, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3069, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 3070, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 3071, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3072, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 3073, [ 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3074, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 3075, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3076, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3077, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3078, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3079, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3080, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3081, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3082, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3083, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3084, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 1.95/2.28  , clause( 3085, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 1.95/2.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3086, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 1.95/2.28  , clause( 3087, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 1.95/2.28  , clause( 3088, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 1.95/2.28  , clause( 3089, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 1.95/2.28    'class_Finite__Set_Ofinite'( X ) ) ] )
% 1.95/2.28  , clause( 3090, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 1.95/2.28  , clause( 3091, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 1.95/2.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3092, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3093, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3094, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3095, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( 
% 1.95/2.28    X ) ] )
% 1.95/2.28  , clause( 3096, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3097, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3098, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3099, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3100, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3101, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3102, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3103, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3104, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3105, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3106, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3107, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3108, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3109, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3110, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3111, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.95/2.28  , clause( 3112, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3113, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( 
% 1.95/2.28    X ) ] )
% 1.95/2.28  , clause( 3114, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3115, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3116, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3117, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3118, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.95/2.28  , clause( 3119, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3120, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.95/2.28  , clause( 3121, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3122, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.95/2.28  , clause( 3123, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3124, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Numeral_Onumber'( X ) ] )
% 1.95/2.28  , clause( 3125, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3126, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3127, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3128, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3129, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3130, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3131, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3132, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3133, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3134, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3135, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3136, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3137, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3138, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3139, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3140, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3141, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3142, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3143, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.95/2.28     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3144, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.95/2.28     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3145, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.95/2.28     ), 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3146, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.95/2.28     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3147, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3148, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3149, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3150, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3151, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3152, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3153, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3154, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3155, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3156, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3157, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3158, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3159, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3160, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3161, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3162, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3163, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3164, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3165, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3166, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3167, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3168, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3169, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3170, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3171, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3172, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3173, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3174, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3175, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3176, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.95/2.28  , clause( 3177, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3178, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3179, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3180, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3181, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3182, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3183, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3184, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3185, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3186, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3187, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3188, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3189, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3190, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3191, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3192, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3193, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3194, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3195, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3196, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3197, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3198, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3199, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3200, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3201, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3202, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3203, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.95/2.28  , clause( 3204, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3205, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3206, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3207, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3208, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3209, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3210, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3211, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3212, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3213, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.95/2.28    , 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3214, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3215, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3216, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3217, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3218, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3219, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3220, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3221, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3222, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.95/2.28  , clause( 3223, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3224, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3225, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3226, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3227, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3228, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3229, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3230, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3231, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3232, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.95/2.28    , 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3233, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3234, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3235, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3236, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3237, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3238, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3239, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3240, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3241, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3242, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3243, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3244, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3245, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3246, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3247, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3248, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3249, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_Orderings_Olinorder'( X ) ] )
% 1.95/2.28  , clause( 3250, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3251, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3252, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3253, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3254, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3255, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3256, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3257, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3258, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3259, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3260, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3261, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3262, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3263, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3264, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.95/2.28     ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3265, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.95/2.28     ) ), 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3266, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3267, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3268, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.95/2.28     ) ), 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3269, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3270, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3271, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3272, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3273, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3274, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3275, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3276, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3277, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3278, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3279, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3280, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3281, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3282, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3283, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3284, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3285, [ ~( 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3286, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3287, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3288, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.95/2.28    'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3289, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3290, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3291, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3292, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3293, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3294, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 3295, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3296, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3297, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3298, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3299, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3300, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3301, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3302, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3303, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3304, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.95/2.28  , clause( 3305, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3306, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3307, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3308, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3309, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3310, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3311, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3312, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3313, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 3314, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3315, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3316, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 3317, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3318, [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3319, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3320, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3321, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3322, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3323, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3324, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 1.95/2.28    X ) ), 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3325, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 1.95/2.28    X ) ), 'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3326, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3327, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3328, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3329, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3330, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3331, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3332, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3333, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3334, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3335, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3336, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3337, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3338, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3339, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3340, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3341, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3342, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3343, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3344, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3345, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.95/2.28  , clause( 3346, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3347, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3348, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3349, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3350, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3351, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3352, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3353, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3354, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3355, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3356, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3357, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3358, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.95/2.28  , clause( 3359, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3360, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3361, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3362, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3363, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3364, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.95/2.28  , clause( 3365, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3366, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3367, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3368, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3369, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3370, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3371, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3372, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3373, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3374, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3375, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3376, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3377, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3378, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3379, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3380, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3381, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3382, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3383, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3384, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3385, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3386, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3387, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3388, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3389, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3390, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3391, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3392, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3393, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3394, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3395, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3396, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3397, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3398, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3399, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3400, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3401, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3402, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3403, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3404, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3405, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3406, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3407, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3408, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3409, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3410, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3411, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3412, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3413, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3414, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3415, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3416, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3417, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3418, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3419, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3420, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3421, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3422, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3423, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3424, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.95/2.28  , clause( 3425, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3426, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3427, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3428, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3429, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3430, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3431, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3432, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3433, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3434, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3435, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3436, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3437, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3438, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3439, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3440, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3441, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3442, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3443, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3444, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3445, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3446, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3447, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3448, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.28    'class_HOL_Oinverse'( X ) ] )
% 1.95/2.28  , clause( 3449, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.95/2.28  , clause( 3450, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.95/2.28  , clause( 3451, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3452, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3453, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3454, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3455, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3456, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3457, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3458, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3459, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3460, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3461, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.95/2.28  , clause( 3462, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3463, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3464, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3465, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3466, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3467, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3468, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3469, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3470, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3471, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3472, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3473, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_HOL_Oinverse'( X ) ] )
% 1.95/2.28  , clause( 3474, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oidom'( X ) ] )
% 1.95/2.28  , clause( 3475, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.95/2.28  , clause( 3476, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3477, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3478, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3479, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.95/2.28  , clause( 3480, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3481, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3482, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.95/2.28  , clause( 3483, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.95/2.28  , clause( 3484, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3485, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3486, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3487, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3488, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3489, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3490, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3491, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3492, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3493, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3494, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.95/2.28  , clause( 3495, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3496, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3497, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3498, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3499, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3500, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3501, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3502, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3503, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3504, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3505, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3506, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.95/2.28  , clause( 3507, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3508, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3509, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3510, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.95/2.28  , clause( 3511, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3512, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3513, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.95/2.28  , clause( 3514, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3515, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3516, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3517, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3518, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3519, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3520, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3521, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3522, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3523, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3524, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3525, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3526, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3527, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3528, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3529, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3530, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.95/2.28  , clause( 3531, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.95/2.28  , clause( 3532, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3533, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3534, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3535, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.95/2.28  , clause( 3536, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3537, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.95/2.28  , clause( 3538, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3539, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3540, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3541, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.95/2.28  , clause( 3542, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3543, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3544, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3545, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3546, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3547, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3548, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3549, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Orderings_Olinorder'( X ) ] )
% 1.95/2.28  , clause( 3550, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3551, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3552, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3553, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3554, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3555, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3556, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3557, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3558, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3559, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3560, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3561, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.95/2.28  , clause( 3562, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.95/2.28  , clause( 3563, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3564, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3565, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3566, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3567, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3568, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3569, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3570, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3571, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3572, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3573, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3574, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ofield'( X ) ] )
% 1.95/2.28  , clause( 3575, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_HOL_Oinverse'( X ) ] )
% 1.95/2.28  , clause( 3576, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.95/2.28  , clause( 3577, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3578, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3579, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3580, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3581, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3582, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3583, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3584, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3585, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3586, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oidom'( X ) ] )
% 1.95/2.28  , clause( 3587, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3588, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3589, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3590, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3591, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3592, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3593, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3594, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3595, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3596, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3597, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.95/2.28  , clause( 3598, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3599, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.95/2.28  , clause( 3600, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3601, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3602, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 1.95/2.28  , clause( 3603, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 1.95/2.28  , clause( 3604, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3605, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3606, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 1.95/2.28  , clause( 3607, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.95/2.28  , clause( 3608, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.95/2.28  , clause( 3609, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3610, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Orderings_Olinorder'( X ) ] )
% 1.95/2.28  , clause( 3611, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 1.95/2.28  , clause( 3612, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 1.95/2.28  , clause( 3613, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.95/2.28  , clause( 3614, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.95/2.28  , clause( 3615, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3616, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.95/2.28  , clause( 3617, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.95/2.28  , clause( 3618, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.95/2.28  , clause( 3619, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.95/2.28  , clause( 3620, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.95/2.28  , clause( 3621, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3622, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3623, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3624, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3625, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3626, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3627, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3628, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3629, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3630, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3631, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 1.95/2.28  , clause( 3632, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3633, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3634, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3635, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.95/2.28  , clause( 3636, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.95/2.28  , clause( 3637, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3638, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3639, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3640, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3641, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3642, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3643, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3644, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3645, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3646, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3647, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.95/2.28  , clause( 3648, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3649, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3650, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3651, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3652, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3653, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3654, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3655, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3656, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3657, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3658, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3659, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 1.95/2.28  , clause( 3660, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.95/2.28  , clause( 3661, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3662, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Orderings_Olinorder'( X ) ] )
% 1.95/2.28  , clause( 3663, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3664, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3665, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3666, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3667, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3668, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3669, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3670, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.95/2.28  , clause( 3671, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3672, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3673, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3674, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3675, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3676, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 1.95/2.28  , clause( 3677, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 1.95/2.28  , clause( 3678, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 1.95/2.28  , clause( 3679, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.95/2.28  , clause( 3680, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3681, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.95/2.28  , clause( 3682, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.95/2.28  , clause( 3683, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.95/2.28  , clause( 3684, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.95/2.28  , clause( 3685, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3686, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 1.95/2.28  , clause( 3687, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.95/2.28  , clause( 3688, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oidom'( X ) ] )
% 1.95/2.28  , clause( 3689, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3690, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.95/2.28  , clause( 3691, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3692, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3693, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3694, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3695, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3696, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3697, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3698, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3699, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3700, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.95/2.28  , clause( 3701, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3702, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Orderings_Olinorder'( X ) ] )
% 1.95/2.28  , clause( 3703, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3704, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3705, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3706, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3707, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3708, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3709, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.95/2.28  , clause( 3710, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3711, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3712, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3713, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3714, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 1.95/2.28  , clause( 3715, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.95/2.28  , clause( 3716, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3717, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3718, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 1.95/2.28  , clause( 3719, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.95/2.28  , clause( 3720, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.95/2.28  , clause( 3721, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.95/2.28  , clause( 3722, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.95/2.28  , clause( 3723, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.95/2.28  , clause( 3724, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3725, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3726, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3727, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3728, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3729, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.28    , 'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3730, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3731, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.95/2.28  , clause( 3732, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3733, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3734, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3735, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3736, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3737, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3738, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3739, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3740, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3741, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3742, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3743, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3744, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3745, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3746, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3747, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 1.95/2.28  , clause( 3748, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.95/2.28  , clause( 3749, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3750, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Orderings_Olinorder'( X ) ] )
% 1.95/2.28  , clause( 3751, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3752, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3753, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3754, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3755, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3756, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3757, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3758, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.95/2.28  , clause( 3759, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3760, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3761, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3762, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3763, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3764, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3765, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3766, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3767, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3768, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3769, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3770, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3771, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3772, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_Orderings_Olinorder'( X ) ] )
% 1.95/2.28  , clause( 3773, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3774, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3775, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3776, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3777, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 3778, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3779, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3780, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3781, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3782, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3783, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3784, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3785, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.95/2.28  , clause( 3786, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3787, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3788, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3789, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3790, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3791, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3792, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3793, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3794, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3795, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3796, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3797, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3798, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3799, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3800, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3801, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3802, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3803, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3804, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3805, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.95/2.28  , clause( 3806, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3807, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3808, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3809, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3810, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3811, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3812, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3813, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3814, [ ~( 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3815, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3816, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3817, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3818, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3819, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3820, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3821, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3822, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3823, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3824, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3825, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3826, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3827, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3828, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3829, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3830, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.95/2.28    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3831, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.95/2.28  , clause( 3832, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3833, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3834, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3835, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3836, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3837, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3838, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3839, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3840, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3841, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3842, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3843, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3844, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3845, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3846, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3847, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3848, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3849, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3850, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3851, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3852, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3853, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3854, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3855, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.95/2.28    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3856, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.95/2.28  , clause( 3857, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.95/2.28  , clause( 3858, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3859, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3860, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3861, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3862, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3863, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3864, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3865, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3866, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3867, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3868, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3869, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3870, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3871, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.95/2.28     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3872, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3873, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3874, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3875, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3876, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3877, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3878, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3879, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.95/2.28  , clause( 3880, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3881, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3882, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3883, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3884, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3885, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.95/2.28  , clause( 3886, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3887, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.95/2.28  , clause( 3888, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3889, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3890, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3891, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3892, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3893, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3894, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3895, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3896, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3897, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3898, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3899, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3900, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3901, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3902, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3903, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3904, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3905, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3906, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3907, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3908, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3909, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3910, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3911, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3912, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3913, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3914, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3915, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3916, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3917, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3918, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3919, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3920, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3921, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oring'( X ) ] )
% 1.95/2.28  , clause( 3922, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.95/2.28  , clause( 3923, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3924, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3925, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3926, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3927, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3928, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3929, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3930, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3931, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3932, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.95/2.28  , clause( 3933, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Ominus'( X ) ] )
% 1.95/2.28  , clause( 3934, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3935, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3936, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3937, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3938, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3939, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3940, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3941, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3942, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3943, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3944, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3945, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3946, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3947, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3948, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3949, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3950, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3951, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3952, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3953, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3954, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3955, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3956, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3957, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3958, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3959, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3960, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3961, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3962, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3963, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3964, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3965, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3966, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3967, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3968, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3969, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3970, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3971, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3972, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3973, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3974, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3975, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3976, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3977, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.95/2.28  , clause( 3978, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.95/2.28  , clause( 3979, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_HOL_Oone'( X ) ] )
% 1.95/2.28  , clause( 3980, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.95/2.28  , clause( 3981, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_HOL_Otimes'( X ) ] )
% 1.95/2.28  , clause( 3982, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3983, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3984, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.95/2.28  , clause( 3985, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.95/2.28  , clause( 3986, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.95/2.28  , clause( 3987, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.95/2.28  , clause( 3988, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_HOL_Ozero'( X ) ] )
% 1.95/2.28  , clause( 3989, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3990, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.95/2.28  , clause( 3991, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_HOL_Oplus'( X ) ] )
% 1.95/2.28  , clause( 3992, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.95/2.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.95/2.28  , clause( 3993, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oord'( X ) ] )
% 1.95/2.28  , clause( 3994, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Oorder'( X ) ] )
% 1.95/2.28  , clause( 3995, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.95/2.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3996, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.95/2.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.95/2.28  , clause( 3997, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.95/2.28    'class_LOrder_Olorder'( X ) ] )
% 1.95/2.28  , clause( 3998, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.95/2.28    'class_Orderings_Olinorder'( X ) ] )
% 1.95/2.28  , clause( 3999, [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 4000, [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 4001, [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 
% 1.95/2.28    'c_plus'( 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 
% 1.95/2.28    'c_Suc'( Y ) ), 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4002, [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X
% 1.95/2.28     ) ) ] )
% 1.95/2.28  , clause( 4003, [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ] )
% 1.95/2.28  , clause( 4004, [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ] )
% 1.95/2.28  , clause( 4005, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 1.95/2.28    'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 1.95/2.28  , clause( 4006, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( 
% 1.95/2.28    X, Y ), Y ), Y ) ] )
% 1.95/2.28  , clause( 4007, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 1.95/2.28    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 4008, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 1.95/2.28    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 4009, [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y )
% 1.95/2.28    , Y ), 'c_insert'( X, 'c_emptyset', Y ) ) ] )
% 1.95/2.28  , clause( 4010, [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X, 
% 1.95/2.28    'c_Datatype_Ooption_ONone' ) ] )
% 1.95/2.28  , clause( 4011, [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 
% 1.95/2.28    'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4012, [ ~( =( 'c_Datatype_Ooption_ONone', 
% 1.95/2.28    'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 1.95/2.28  , clause( 4013, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 1.95/2.28    'c_Datatype_Ooption_ONone' ) ) ] )
% 1.95/2.28  , clause( 4014, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 1.95/2.28    'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 1.95/2.28  , clause( 4015, [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 
% 1.95/2.28    'tc_Datatype_Ooption'( X ) ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4016, [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 1.95/2.28    'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4017, [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T
% 1.95/2.28     ) ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4018, [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( 
% 1.95/2.28    Y, Z ) ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4019, [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( 
% 1.95/2.28    Z, Y ) ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4020, [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y )
% 1.95/2.28    , Y ), X ) ] )
% 1.95/2.28  , clause( 4021, [ =( 'c_Datatype_Ounit_Ounit__case'( X, 
% 1.95/2.28    'c_Product__Type_OUnity', Y ), X ) ] )
% 1.95/2.28  , clause( 4022, [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 
% 1.95/2.28    'c_Product__Type_OUnity', Y ), X ) ] )
% 1.95/2.28  , clause( 4023, [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 
% 1.95/2.28    'tc_Product__Type_Ounit' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4024, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.95/2.28  , clause( 4025, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 1.95/2.28  , clause( 4026, [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X
% 1.95/2.28    , Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'( 
% 1.95/2.28    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.95/2.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 1.95/2.28    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.95/2.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ] )
% 1.95/2.28  , clause( 4027, [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X
% 1.95/2.28    , Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.95/2.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'( 
% 1.95/2.28    'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.95/2.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 
% 1.95/2.28    'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.95/2.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ] )
% 1.95/2.28  , clause( 4028, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.95/2.28  , clause( 4029, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 1.95/2.28  , clause( 4030, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.95/2.28  , clause( 4031, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 1.95/2.28  , clause( 4032, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 1.95/2.28  , clause( 4033, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 1.95/2.28  , clause( 4034, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 1.95/2.28  , clause( 4035, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.95/2.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 1.95/2.28  , clause( 4036, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 1.95/2.28  , clause( 4037, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 1.95/2.28  , clause( 4038, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 1.95/2.28  , clause( 4039, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 1.95/2.28  , clause( 4040, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 1.95/2.28  , clause( 4041, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 
% 1.95/2.28    'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4042, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.95/2.28    'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ] )
% 1.95/2.28  , clause( 4043, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X )
% 1.95/2.28     ), 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.95/2.28    , Y, Z, T ), Z, T ) ) ] )
% 1.95/2.28  , clause( 4044, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X )
% 1.95/2.28     ), 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.95/2.28    , Y, Z, T ), Z, T ) ) ] )
% 1.95/2.28  , clause( 4045, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.95/2.28    'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ] )
% 1.95/2.28  , clause( 4046, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.95/2.28    'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ), 
% 1.95/2.28    'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ] )
% 1.95/2.28  , clause( 4047, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ), 
% 1.95/2.28    'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ), 
% 1.95/2.28    'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.95/2.28     ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ] )
% 1.95/2.28  , clause( 4048, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 1.95/2.28    'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4049, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ), 
% 1.95/2.28    'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4050, [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4051, [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.95/2.28  , clause( 4052, [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4053, [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ] )
% 1.95/2.28  , clause( 4054, [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 4055, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 
% 1.95/2.28    'tc_nat' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4056, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', 
% 1.95/2.28    Y, 'tc_nat' ) ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.95/2.28  , clause( 4057, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 1.95/2.28    'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.28    'c_div'( Y, Z, 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4058, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 1.95/2.28    'c_times'( Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.28    'c_div'( Y, Z, 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4059, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( 
% 1.95/2.28    Y, 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z, 
% 1.95/2.28    'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4060, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 1.95/2.28    'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 1.95/2.28  , clause( 4061, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( 
% 1.95/2.28    Y, 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z, 
% 1.95/2.28    'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4062, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 
% 1.95/2.28    'c_times'( Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 1.95/2.28  , clause( 4063, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 
% 1.95/2.28    'tc_nat' ), 'c_1' ) ] )
% 1.95/2.28  , clause( 4064, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 
% 1.95/2.28    'c_0' ) ] )
% 1.95/2.28  , clause( 4065, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 1.95/2.28  , clause( 4066, [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' )
% 1.95/2.28     ), =( X, 'c_Suc'( 'c_0' ) ) ] )
% 1.95/2.28  , clause( 4067, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' )
% 1.95/2.28    , 'tc_nat' ) ] )
% 1.95/2.28  , clause( 4068, [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ] )
% 1.95/2.28  , clause( 4069, [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 4070, [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' )
% 1.95/2.28    , 'c_0' ) ] )
% 1.95/2.28  , clause( 4071, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 
% 1.95/2.28    'tc_nat' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4072, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 
% 1.95/2.28    'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4073, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.28    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.95/2.28  , clause( 4074, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.95/2.28    X, Y, 'tc_nat' ), X ) ] )
% 1.95/2.28  , clause( 4075, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 
% 1.95/2.28    'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.95/2.28  , clause( 4076, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 
% 1.95/2.28    'tc_nat' ), 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 
% 1.95/2.28    'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4077, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 
% 1.95/2.28    'tc_nat' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4078, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 
% 1.95/2.28    'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 
% 1.95/2.28    'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4079, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 
% 1.95/2.28    'tc_nat' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4080, [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4081, [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 
% 1.95/2.28    'tc_nat' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4082, [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 
% 1.95/2.28    'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ] )
% 1.95/2.28  , clause( 4083, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 1.95/2.28    , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4084, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 
% 1.95/2.28    'c_emptyset', X, Y ) ) ] )
% 1.95/2.28  , clause( 4085, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 
% 1.95/2.28    'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4086, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 
% 1.95/2.28    'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4087, [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 1.95/2.28    'c_Extraction_Osumbool_OLeft', Z ), X ) ] )
% 1.95/2.28  , clause( 4088, [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y, 
% 1.95/2.28    'c_Extraction_Osumbool_ORight', Z ), Y ) ] )
% 1.95/2.28  , clause( 4089, [ ~( =( 'c_Extraction_Osumbool_OLeft', 
% 1.95/2.28    'c_Extraction_Osumbool_ORight' ) ) ] )
% 1.95/2.28  , clause( 4090, [ ~( =( 'c_Extraction_Osumbool_ORight', 
% 1.95/2.28    'c_Extraction_Osumbool_OLeft' ) ) ] )
% 1.95/2.28  , clause( 4091, [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 1.95/2.28    'c_Extraction_Osumbool_OLeft', Z ), X ) ] )
% 1.95/2.28  , clause( 4092, [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y, 
% 1.95/2.28    'c_Extraction_Osumbool_ORight', Z ), Y ) ] )
% 1.95/2.28  , clause( 4093, [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft', 
% 1.95/2.28    'tc_Extraction_Osumbool' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4094, [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight', 
% 1.95/2.28    'tc_Extraction_Osumbool' ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4095, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.95/2.28     ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 
% 1.95/2.28    'c_lessequals'( Y, 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset'
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 4096, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'( 
% 1.95/2.28    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4097, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 1.95/2.28    'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z, 
% 1.95/2.28    'c_Finite__Set_OMax'( Y, X ), X ) ) ] )
% 1.95/2.28  , clause( 4098, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.95/2.28     ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 
% 1.95/2.28    'c_lessequals'( 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y
% 1.95/2.28    , T, X ), =( Z, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4099, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( 
% 1.95/2.28    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4100, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( 
% 1.95/2.28    'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'( 
% 1.95/2.28    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4101, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.95/2.28     ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 
% 1.95/2.28    'c_less'( 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), 
% 1.95/2.28    =( Z, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4102, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'( 
% 1.95/2.28    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4103, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( 
% 1.95/2.28    'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'( 
% 1.95/2.28    'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4104, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.95/2.28    'c_Finite__Set_OMax'( 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ] )
% 1.95/2.28  , clause( 4105, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.95/2.28     ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 
% 1.95/2.28    'c_lessequals'( T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T
% 1.95/2.28    , Y, X ), =( Z, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4106, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z, 
% 1.95/2.28    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4107, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z, 
% 1.95/2.28    'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z, 
% 1.95/2.28    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4108, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.95/2.28     ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 
% 1.95/2.28    'c_less'( T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), 
% 1.95/2.28    =( Z, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4109, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 
% 1.95/2.28    'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z, 
% 1.95/2.28    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4110, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z, 
% 1.95/2.28    'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z, 
% 1.95/2.28    'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4111, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'( 
% 1.95/2.28    Y, X ), Y, X ), =( Y, 'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4112, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =( 
% 1.95/2.28    'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z, 
% 1.95/2.28    'c_Finite__Set_OMin'( Y, X ), X ) ) ] )
% 1.95/2.28  , clause( 4113, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.95/2.28     ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 
% 1.95/2.28    'c_lessequals'( 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset'
% 1.95/2.28     ) ] )
% 1.95/2.28  , clause( 4114, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.95/2.28    'c_Finite__Set_OMin'( 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ] )
% 1.95/2.28  , clause( 4115, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.95/2.28    , ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 4116, [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 
% 1.95/2.28    'tc_set'( X ) ) ), =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 4117, [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4118, [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =( 
% 1.95/2.28    'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4119, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.95/2.28    , 'c_in'( Z, X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y )
% 1.95/2.28    , 'c_Suc'( 'c_Finite__Set_Ocard'( X, Y ) ) ) ] )
% 1.95/2.28  , clause( 4120, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.95/2.28    , 'c_in'( 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 
% 1.95/2.28    'tc_set'( Y ) ) ] )
% 1.95/2.28  , clause( 4121, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( 
% 1.95/2.28    T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 1.95/2.28    , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 1.95/2.28  , clause( 4122, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 
% 1.95/2.28    'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 
% 1.95/2.28    'tc_set'( Z ) ) ] )
% 1.95/2.28  , clause( 4123, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 
% 1.95/2.28    'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 
% 1.95/2.28    'tc_set'( Y ) ) ] )
% 1.95/2.28  , clause( 4124, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.95/2.28    , 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( 
% 1.95/2.28    Y ) ) ) ] )
% 1.95/2.28  , clause( 4125, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.95/2.28    , 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 4126, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.95/2.28    , 'tc_set'( Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 4127, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.95/2.28    , ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.95/2.28    'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 1.95/2.28  , clause( 4128, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 1.95/2.28  , clause( 4129, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.95/2.28    'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 1.95/2.28  , clause( 4130, [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 1.95/2.28  , clause( 4131, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.28    'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( 
% 1.95/2.28    'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y, 
% 1.95/2.28    'c_emptyset' ) ] )
% 1.95/2.28  , clause( 4132, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.95/2.28     ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 1.95/2.28    'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.95/2.28     ), Y ) ] )
% 1.95/2.28  , clause( 4133, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.95/2.28     ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z, 
% 1.95/2.28    'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.95/2.28     ), Y ) ] )
% 1.95/2.28  , clause( 4134, [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ] )
% 1.95/2.28  , clause( 4135, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 1.95/2.28  , clause( 4136, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' )
% 1.95/2.28     ), X ) ] )
% 1.95/2.28  , clause( 4137, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' )
% 1.95/2.28     ), X ) ] )
% 1.95/2.28  , clause( 4138, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat'
% 1.95/2.28    , 'tc_nat' ) ), 'c_1' ) ] )
% 1.95/2.28  , clause( 4139, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat'
% 1.95/2.28    , 'tc_nat' ) ), 'c_1' ) ] )
% 1.95/2.28  , clause( 4140, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y
% 1.95/2.28    , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 
% 1.95/2.28    'tc_nat' ) ) ) ] )
% 1.95/2.28  , clause( 4141, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' )
% 1.95/2.28    , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 
% 1.95/2.28    'tc_nat' ) ) ) ] )
% 1.95/2.28  , clause( 4142, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' )
% 1.95/2.28    , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 
% 1.95/2.28    'tc_nat' ) ) ) ] )
% 1.95/2.28  , clause( 4143, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 1.95/2.28    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 4144, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 1.95/2.28    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 
% 1.95/2.28    'tc_nat' ) ] )
% 1.95/2.28  , clause( 4145, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 
% 1.95/2.28    'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 
% 1.95/2.28    'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 1.95/2.28  , clause( 4146, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' )
% 1.95/2.28    , 'tc_nat', 'tc_nat' ) ), X ) ] )
% 1.95/2.28  , clause( 4147, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), 
% 1.95/2.28    X ) ] )
% 1.95/2.28  , clause( 4148, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.95/2.28    'tc_nat' ) ) ) ] )
% 1.95/2.28  , clause( 4149, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ] )
% 1.95/2.28  , clause( 4150, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'( 
% 1.95/2.28    'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.95/2.28     ), 'c_1' ) ] )
% 1.95/2.28  , clause( 4151, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ] )
% 1.95/2.28  , clause( 4152, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0', 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.28  , clause( 4153, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1', 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.95/2.28    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.95/2.28    , X ), X ) ] )
% 1.95/2.28  , clause( 4154, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.95/2.28    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.95/2.28    , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.28  , clause( 4155, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ] )
% 1.95/2.28  , clause( 4156, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.95/2.28  , clause( 4157, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ] )
% 1.95/2.28  , clause( 4158, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.95/2.28    Y, X ), 'c_1', X ) ] )
% 1.95/2.28  , clause( 4159, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~( 
% 1.95/2.28    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.95/2.28  , clause( 4160, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'( 
% 1.95/2.28    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.28  , clause( 4161, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1', 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.95/2.28  , clause( 4162, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1', 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.28  , clause( 4163, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ] )
% 1.95/2.28  , clause( 4164, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.95/2.28  , clause( 4165, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.95/2.28    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.95/2.28    , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', 
% 1.95/2.28    X ) ) ] )
% 1.95/2.28  , clause( 4166, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.95/2.28    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.95/2.28    , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.95/2.28     )
% 1.95/2.28  , clause( 4167, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.95/2.28    'c_1', 'c_1', X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.95/2.28    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.95/2.28    'c_Numeral_Obit_OB0' ), X ) ) ] )
% 1.95/2.28  , clause( 4168, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.95/2.28    'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.95/2.28    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obit_OB1' ), Y ), X ) ) ] )
% 1.95/2.28  , clause( 4169, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 1.95/2.28    'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obit_OB1' ) ), X ) ) ] )
% 1.95/2.28  , clause( 4170, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 1.95/2.28    'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.95/2.28    'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ] )
% 1.95/2.28  , clause( 4171, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'( 
% 1.95/2.28    'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 
% 1.95/2.28    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ] )
% 1.95/2.28  , clause( 4172, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0', 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ] )
% 1.95/2.28  , clause( 4173, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.95/2.28    'c_Numeral_OPls', 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0', 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 1.95/2.28  , clause( 4174, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1', 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.95/2.28    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.95/2.28    , X ), X ) ] )
% 1.95/2.28  , clause( 4175, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.95/2.28    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.95/2.28    'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_1', 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 1.95/2.28  , clause( 4176, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ] )
% 1.95/2.28  , clause( 4177, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ] )
% 1.95/2.28  , clause( 4178, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 
% 1.95/2.28    'c_Numeral_Onumber__of'( Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 
% 1.95/2.28    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ] )
% 1.95/2.28  , clause( 4179, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.28    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.28    'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.28    'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.95/2.28     ), 'c_1' ) ] )
% 1.95/2.28  , clause( 4180, [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.28    'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.95/2.28    , 'tc_IntDef_Oint' ) ) ) ] )
% 1.95/2.28  , clause( 4181, [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.28    'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.95/2.28    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.28  , clause( 4182, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.28    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 
% 1.95/2.28    'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ), 
% 1.95/2.28    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.28  , clause( 4183, [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ] )
% 1.95/2.28  , clause( 4184, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 
% 1.95/2.28    'c_IntDef_Oof__int'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 
% 1.95/2.28    'tc_IntDef_Oint' ), X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) )
% 1.95/2.28     ] )
% 1.95/2.28  , clause( 4185, [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 
% 1.95/2.28    'tc_nat' ) ), 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4186, [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.95/2.29    'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4187, [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4188, [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1', 
% 1.95/2.29    'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 4189, [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1'
% 1.95/2.29    , 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4190, [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4191, [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.95/2.29    X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4192, [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4193, [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 
% 1.95/2.29    X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4194, [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 
% 1.95/2.29    'tc_nat', 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 
% 1.95/2.29    'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y )
% 1.95/2.29    , 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ] )
% 1.95/2.29  , clause( 4195, [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 
% 1.95/2.29    'tc_nat', 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 
% 1.95/2.29    'c_IntDef_OAbs__Integ'( X ) ), X ) ] )
% 1.95/2.29  , clause( 4196, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 
% 1.95/2.29    'c_0', 'c_IntDef_OInts', X ) ] )
% 1.95/2.29  , clause( 4197, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 
% 1.95/2.29    'c_1', 'c_IntDef_OInts', X ) ] )
% 1.95/2.29  , clause( 4198, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 1.95/2.29    'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 1.95/2.29    , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 1.95/2.29  , clause( 4199, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 1.95/2.29    'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 1.95/2.29    , 'c_in'( 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 1.95/2.29  , clause( 4200, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 1.95/2.29    'c_in'( Y, 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 
% 1.95/2.29    'c_IntDef_OInts', X ) ] )
% 1.95/2.29  , clause( 4201, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 1.95/2.29    'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 1.95/2.29    , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 1.95/2.29  , clause( 4202, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), 'c_in'( 'c_0', 'c_IntDef_ONats', X ) ] )
% 1.95/2.29  , clause( 4203, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), 'c_in'( 'c_1', 'c_IntDef_ONats', X ) ] )
% 1.95/2.29  , clause( 4204, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), ~( 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 
% 1.95/2.29    'c_IntDef_ONats', X ) ), 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4205, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), ~( 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 
% 1.95/2.29    'c_IntDef_ONats', X ) ), 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', 
% 1.95/2.29    X ) ] )
% 1.95/2.29  , clause( 4206, [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' )
% 1.95/2.29    , 'c_IntDef_Oint'( X ) ) ] )
% 1.95/2.29  , clause( 4207, [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 
% 1.95/2.29    X, 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 
% 1.95/2.29    'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'( 
% 1.95/2.29    'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat', 
% 1.95/2.29    'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 
% 1.95/2.29    'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.95/2.29    , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 1.95/2.29    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 1.95/2.29  , clause( 4208, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat'
% 1.95/2.29     ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 1.95/2.29    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), 
% 1.95/2.29    =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset', 
% 1.95/2.29    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 
% 1.95/2.29    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'( 
% 1.95/2.29    'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat', 
% 1.95/2.29    'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 
% 1.95/2.29    'tc_nat' ) ) ) ] )
% 1.95/2.29  , clause( 4209, [ ~( =( 'c_0', 'c_1' ) ) ] )
% 1.95/2.29  , clause( 4210, [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ] )
% 1.95/2.29  , clause( 4211, [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 
% 1.95/2.29    'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4212, [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 4213, [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4214, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( 
% 1.95/2.29    X, Y ) ] )
% 1.95/2.29  , clause( 4215, [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 
% 1.95/2.29    'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 4216, [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4217, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4218, [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 
% 1.95/2.29    'c_IntDef_Oint'( 'c_IntDef_Onat'( X ) ), X ) ] )
% 1.95/2.29  , clause( 4219, [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 
% 1.95/2.29    'c_IntDef_Oint'( 'c_IntDef_Onat'( X ) ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4220, [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 
% 1.95/2.29    'c_insert'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 
% 1.95/2.29    'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 
% 1.95/2.29    'tc_nat', 'tc_nat' ) ), 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat'
% 1.95/2.29    , 'tc_nat' ) ) ) ] )
% 1.95/2.29  , clause( 4221, [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' )
% 1.95/2.29    , 'c_Pair'( Z, T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 
% 1.95/2.29    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 1.95/2.29    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), 
% 1.95/2.29    =( 'c_plus'( X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4222, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 
% 1.95/2.29    'tc_nat' ) ) ), 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 
% 1.95/2.29    'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 
% 1.95/2.29    'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 
% 1.95/2.29    'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 1.95/2.29  , clause( 4223, [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ] )
% 1.95/2.29  , clause( 4224, [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 
% 1.95/2.29    'c_IntDef_Onat'( X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4225, [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4226, [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4227, [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X
% 1.95/2.29     ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4228, [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 4229, [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 4230, [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_IntDef_Oint'( 'c_0' ) ) ] )
% 1.95/2.29  , clause( 4231, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 
% 1.95/2.29    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4232, [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4233, [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 
% 1.95/2.29    'c_Suc'( X ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4234, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.95/2.29    'c_0', 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 1.95/2.29  , clause( 4235, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.95/2.29    'c_0', 'c_IntDef_Oof__int'( 'c_0', X ) ) ] )
% 1.95/2.29  , clause( 4236, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 
% 1.95/2.29    'c_0', Y, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4237, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4238, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4239, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4240, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.95/2.29    'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 4241, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.95/2.29    'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'( 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 4242, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.95/2.29    'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'( 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 4243, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 4244, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.95/2.29    'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4245, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4246, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.95/2.29    'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.95/2.29    , X ) ) ] )
% 1.95/2.29  , clause( 4247, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 
% 1.95/2.29    Y, 'c_0', 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4248, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4249, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X )
% 1.95/2.29    , X ) ), 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4250, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ] )
% 1.95/2.29  , clause( 4251, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4252, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( 
% 1.95/2.29    Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4253, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) )
% 1.95/2.29    , 'c_less'( Y, Z, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4254, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, Z, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X
% 1.95/2.29     ), 'c_IntDef_Oof__int'( Z, X ), X ) ] )
% 1.95/2.29  , clause( 4255, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.95/2.29    'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'( 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), X ) ) ] )
% 1.95/2.29  , clause( 4256, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.95/2.29    'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'( 
% 1.95/2.29    'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 4257, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.95/2.29    'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ), 
% 1.95/2.29    'c_NatArith_Oof__nat'( Y, X ) ) ] )
% 1.95/2.29  , clause( 4258, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), 'c_in'( 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ] )
% 1.95/2.29  , clause( 4259, [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4260, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4261, [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 
% 1.95/2.29    'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4262, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.95/2.29    'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4263, [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4264, [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( 
% 1.95/2.29    Y ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4265, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4266, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4267, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 
% 1.95/2.29    'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4268, [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 
% 1.95/2.29    'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4269, [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 
% 1.95/2.29    'tc_nat' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4270, [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 1.95/2.29    'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 
% 1.95/2.29    'c_IntDef_Onat'( Y ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4271, [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4272, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_0', 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.95/2.29     ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4273, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.95/2.29     ), =( 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_fst'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4274, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 1.95/2.29    'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4275, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.95/2.29     ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4276, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_fst'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4277, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.95/2.29    'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_fst'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4278, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4279, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4280, [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.95/2.29     ), Y, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4281, [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4282, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_0', 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.95/2.29     ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4283, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.95/2.29     ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_snd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4284, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 1.95/2.29    'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4285, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.95/2.29     ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4286, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1'
% 1.95/2.29    , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4287, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.95/2.29    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4288, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 
% 1.95/2.29    'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4289, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 
% 1.95/2.29    'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.95/2.29    , 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.95/2.29  , clause( 4290, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4291, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.95/2.29    'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 
% 1.95/2.29    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.95/2.29  , clause( 4292, [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4293, [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X
% 1.95/2.29    , 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4294, [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_lessequals'( 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4295, [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4296, [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 
% 1.95/2.29    'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4297, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.95/2.29    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 
% 1.95/2.29    'c_0', 'c_1', 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4298, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.95/2.29    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.95/2.29  , clause( 4299, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 
% 1.95/2.29    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4300, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 
% 1.95/2.29    'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 
% 1.95/2.29    'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'( 'c_Pair'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.95/2.29  , clause( 4301, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 
% 1.95/2.29    'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4302, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_lessequals'( 'c_0', 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4303, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4304, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_times'( X, 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint'
% 1.95/2.29     ) ) ] )
% 1.95/2.29  , clause( 4305, [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ] )
% 1.95/2.29  , clause( 4306, [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.95/2.29    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ) ) ] )
% 1.95/2.29  , clause( 4307, [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X
% 1.95/2.29    , 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4308, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4309, [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 
% 1.95/2.29    'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 
% 1.95/2.29    'c_plus'( 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4310, [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_1' ) ] )
% 1.95/2.29  , clause( 4311, [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4312, [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 
% 1.95/2.29    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4313, [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4314, [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.95/2.29    Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4315, [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 
% 1.95/2.29    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), Y ) ] )
% 1.95/2.29  , clause( 4316, [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), Y ) ] )
% 1.95/2.29  , clause( 4317, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 4318, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4319, [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y
% 1.95/2.29    , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4320, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4321, [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4322, [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4323, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', 
% 1.95/2.29    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X, 
% 1.95/2.29    'c_0' ) ] )
% 1.95/2.29  , clause( 4324, [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 
% 1.95/2.29    'c_0' ) ] )
% 1.95/2.29  , clause( 4325, [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4326, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4327, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4328, [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_0' ) ] )
% 1.95/2.29  , clause( 4329, [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4330, [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4331, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint'
% 1.95/2.29     ), X, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4332, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint'
% 1.95/2.29     ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4333, [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_0' ) ] )
% 1.95/2.29  , clause( 4334, [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( 
% 1.95/2.29    'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4335, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4336, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4337, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 
% 1.95/2.29    'c_LOrder_Ojoin'( Y, Y, X ), Y ) ] )
% 1.95/2.29  , clause( 4338, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 
% 1.95/2.29    'c_LOrder_Omeet'( Y, Y, X ), Y ) ] )
% 1.95/2.29  , clause( 4339, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.95/2.29     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.95/2.29    Z, Z ) ), =( X, T ) ] )
% 1.95/2.29  , clause( 4340, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.95/2.29     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.95/2.29    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 1.95/2.29    Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4341, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.95/2.29     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y, 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4342, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.95/2.29     ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.95/2.29    , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 
% 1.95/2.29    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y, 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4343, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 1.95/2.29     ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W, 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.95/2.29    , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 1.95/2.29    Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4344, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 1.95/2.29    Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( 
% 1.95/2.29    U, X, Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( 
% 1.95/2.29    Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4345, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 1.95/2.29    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 1.95/2.29    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 1.95/2.29  , clause( 4346, [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.95/2.29    , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4347, [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 
% 1.95/2.29    'c_List_Oset'( X, 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 
% 1.95/2.29    'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ] )
% 1.95/2.29  , clause( 4348, [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4349, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( 
% 1.95/2.29    X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4350, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( 
% 1.95/2.29    Y, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4351, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil', 
% 1.95/2.29    'c_List_Olist_ONil', X ) ) ] )
% 1.95/2.29  , clause( 4352, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( 
% 1.95/2.29    X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4353, [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 
% 1.95/2.29    'c_List_Olist_ONil', X ) ) ] )
% 1.95/2.29  , clause( 4354, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 1.95/2.29    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 1.95/2.29    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 1.95/2.29  , clause( 4355, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 1.95/2.29    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 1.95/2.29    'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 1.95/2.29  , clause( 4356, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 1.95/2.29    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 1.95/2.29    'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 1.95/2.29  , clause( 4357, [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( 
% 1.95/2.29    X, 'c_append'( Y, T, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4358, [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 
% 1.95/2.29    'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 
% 1.95/2.29    'c_List_Olist_ONil', Y ), Y ), X ) ] )
% 1.95/2.29  , clause( 4359, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.95/2.29    'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y )
% 1.95/2.29    , 'c_append'( Z, U, Y ) ) ), =( X, Z ) ] )
% 1.95/2.29  , clause( 4360, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.95/2.29    'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y )
% 1.95/2.29    , 'c_append'( Z, U, Y ) ) ), =( T, U ) ] )
% 1.95/2.29  , clause( 4361, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.95/2.29    'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y )
% 1.95/2.29    , 'c_append'( U, Z, Y ) ) ), =( T, U ) ] )
% 1.95/2.29  , clause( 4362, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.95/2.29    'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y )
% 1.95/2.29    , 'c_append'( U, Z, Y ) ) ), =( X, Z ) ] )
% 1.95/2.29  , clause( 4363, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z )
% 1.95/2.29    , 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ] )
% 1.95/2.29  , clause( 4364, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z )
% 1.95/2.29    , 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ] )
% 1.95/2.29  , clause( 4365, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 1.95/2.29     ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 
% 1.95/2.29    'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 1.95/2.29    Z ) ) ] )
% 1.95/2.29  , clause( 4366, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( 
% 1.95/2.29    X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4367, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( 
% 1.95/2.29    Y, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4368, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', 
% 1.95/2.29    X ), 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4369, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), 
% 1.95/2.29    =( X, T ) ] )
% 1.95/2.29  , clause( 4370, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4371, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 1.95/2.29  , clause( 4372, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4373, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 1.95/2.29  , clause( 4374, [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( 
% 1.95/2.29    X, Y, Z ), Z ), Y ) ] )
% 1.95/2.29  , clause( 4375, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4376, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 
% 1.95/2.29    'c_List_Olist_ONil', Y ), Y ), 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4377, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'( 
% 1.95/2.29    'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y, 
% 1.95/2.29    'c_List_Obutlast'( X, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4378, [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( 
% 1.95/2.29    Y, 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ] )
% 1.95/2.29  , clause( 4379, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 1.95/2.29    Z, T ) ) ), =( X, Z ) ] )
% 1.95/2.29  , clause( 4380, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 1.95/2.29    Z, T ) ) ), =( Y, T ) ] )
% 1.95/2.29  , clause( 4381, [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 
% 1.95/2.29    'tc_List_Ochar' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4382, [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4383, [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 
% 1.95/2.29    'tc_List_Olist'( Z ) ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4384, [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z
% 1.95/2.29     ) ), Z ), 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z )
% 1.95/2.29    , Z ) ) ] )
% 1.95/2.29  , clause( 4385, [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4386, [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 
% 1.95/2.29    'c_List_Oset'( X, 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 
% 1.95/2.29    'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4387, [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4388, [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ), 
% 1.95/2.29    'c_List_Odistinct'( X, Y ) ] )
% 1.95/2.29  , clause( 4389, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.95/2.29    'c_List_Orotate1'( X, Y ), Y ) ] )
% 1.95/2.29  , clause( 4390, [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ] )
% 1.95/2.29  , clause( 4391, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z
% 1.95/2.29     ) ), ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4392, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z
% 1.95/2.29     ) ), 'c_List_Odistinct'( Y, Z ) ] )
% 1.95/2.29  , clause( 4393, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.95/2.29    'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4394, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 1.95/2.29    'c_List_Odistinct'( X, Z ) ] )
% 1.95/2.29  , clause( 4395, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), 
% 1.95/2.29    'c_List_Odistinct'( Y, Z ) ] )
% 1.95/2.29  , clause( 4396, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 
% 1.95/2.29    'c_inter'( 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 
% 1.95/2.29    'c_emptyset' ) ] )
% 1.95/2.29  , clause( 4397, [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z
% 1.95/2.29    , Y ) ), ~( =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y
% 1.95/2.29     ), 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ] )
% 1.95/2.29  , clause( 4398, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.95/2.29    'c_List_Odrop'( Z, X, Y ), Y ) ] )
% 1.95/2.29  , clause( 4399, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.95/2.29    'c_List_Oremove1'( Z, X, Y ), Y ) ] )
% 1.95/2.29  , clause( 4400, [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ), 
% 1.95/2.29    'c_List_Odistinct'( X, Y ) ] )
% 1.95/2.29  , clause( 4401, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.95/2.29    'c_List_Orev'( X, Y ), Y ) ] )
% 1.95/2.29  , clause( 4402, [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) )
% 1.95/2.29    , 'c_List_Odistinct'( Y, Z ) ] )
% 1.95/2.29  , clause( 4403, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.95/2.29    'c_List_Orotate'( Z, X, Y ), Y ) ] )
% 1.95/2.29  , clause( 4404, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.95/2.29    'c_List_Osublist'( X, Z, Y ), Y ) ] )
% 1.95/2.29  , clause( 4405, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 
% 1.95/2.29    'c_List_Otake'( Z, X, Y ), Y ) ] )
% 1.95/2.29  , clause( 4406, [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4407, [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4408, [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ] )
% 1.95/2.29  , clause( 4409, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 
% 1.95/2.29    =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4410, [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.95/2.29    , 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4411, [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y
% 1.95/2.29    , Z, T ), T ), 'c_List_Odrop'( X, Z, T ) ) ] )
% 1.95/2.29  , clause( 4412, [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 
% 1.95/2.29    'c_append'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 
% 1.95/2.29    'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 1.95/2.29  , clause( 4413, [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 
% 1.95/2.29    'c_List_Odrop'( 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ] )
% 1.95/2.29  , clause( 4414, [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) )
% 1.95/2.29    , 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4415, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.95/2.29     ), Z, 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4416, [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T )
% 1.95/2.29    , 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ] )
% 1.95/2.29  , clause( 4417, [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 
% 1.95/2.29    'c_List_Oupt'( 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ] )
% 1.95/2.29  , clause( 4418, [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4419, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 
% 1.95/2.29    'c_List_Ohd'( X, Y ), 'c_List_Otl'( X, Y ), Y ), X ) ] )
% 1.95/2.29  , clause( 4420, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( 
% 1.95/2.29    X, Y, Z ), Z ), 'c_List_Ohd'( X, Z ) ) ] )
% 1.95/2.29  , clause( 4421, [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y )
% 1.95/2.29    , =( X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4422, [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y
% 1.95/2.29    , Z ), Z ), Y ) ] )
% 1.95/2.29  , clause( 4423, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 
% 1.95/2.29    'c_List_Oupt'( X, Y ), 'tc_nat' ), X ) ] )
% 1.95/2.29  , clause( 4424, [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( 
% 1.95/2.29    X, Z ), Y, Z ) ) ] )
% 1.95/2.29  , clause( 4425, [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 1.95/2.29  , clause( 4426, [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z
% 1.95/2.29     ), 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4427, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 
% 1.95/2.29    'c_List_Olist_ONil', Y ), Y ), X ) ] )
% 1.95/2.29  , clause( 4428, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 
% 1.95/2.29    'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ] )
% 1.95/2.29  , clause( 4429, [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y
% 1.95/2.29     ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 1.95/2.29  , clause( 4430, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 
% 1.95/2.29    'c_append'( Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ] )
% 1.95/2.29  , clause( 4431, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.95/2.29    , 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 
% 1.95/2.29    'c_List_Olast'( Y, Z ) ) ] )
% 1.95/2.29  , clause( 4432, [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y
% 1.95/2.29     ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4433, [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X
% 1.95/2.29    , Y, Z ), Z ), Y ) ] )
% 1.95/2.29  , clause( 4434, [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y
% 1.95/2.29    , 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ] )
% 1.95/2.29  , clause( 4435, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 
% 1.95/2.29    'c_List_Oupt'( X, Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4436, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) )
% 1.95/2.29    , =( X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4437, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X
% 1.95/2.29     ) ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4438, [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( 
% 1.95/2.29    Z ) ), 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( 
% 1.95/2.29    Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4439, [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 
% 1.95/2.29    'tc_List_Olist'( Y ) ), 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.95/2.29     ), 'c_1', 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4440, [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.95/2.29     ), X, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4441, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 1.95/2.29    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4442, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) )
% 1.95/2.29    , 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4443, [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ), 
% 1.95/2.29    'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ] )
% 1.95/2.29  , clause( 4444, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 1.95/2.29    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 
% 1.95/2.29    'c_List_Oremdups'( X, Y ), X ) ] )
% 1.95/2.29  , clause( 4445, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 1.95/2.29    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 1.95/2.29    'tc_List_Olist'( Y ) ) ) ] )
% 1.95/2.29  , clause( 4446, [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ), X ) ] )
% 1.95/2.29  , clause( 4447, [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( 
% 1.95/2.29    Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 1.95/2.29  , clause( 4448, [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 
% 1.95/2.29    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 1.95/2.29  , clause( 4449, [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4450, [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 
% 1.95/2.29    'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4451, [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( 
% 1.95/2.29    Y ) ), 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 
% 1.95/2.29    'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4452, [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 
% 1.95/2.29    'tc_nat' ) ), 'c_minus'( Y, X, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4453, [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 
% 1.95/2.29    'tc_List_Olist'( 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( 
% 1.95/2.29    X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 
% 1.95/2.29    'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4454, [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ] )
% 1.95/2.29  , clause( 4455, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 1.95/2.29    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 
% 1.95/2.29    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.95/2.29    'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ), 
% 1.95/2.29    'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ] )
% 1.95/2.29  , clause( 4456, [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 
% 1.95/2.29    'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.95/2.29     ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4457, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 1.95/2.29    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 
% 1.95/2.29    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 1.95/2.29  , clause( 4458, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.95/2.29     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.95/2.29    Z, Z ) ), =( X, T ) ] )
% 1.95/2.29  , clause( 4459, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.95/2.29     ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'( 
% 1.95/2.29    Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'( 
% 1.95/2.29    Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4460, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 1.95/2.29     ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.95/2.29     ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4461, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 
% 1.95/2.29    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.95/2.29    'c_List_Olist_OCons'( U, X, Z ), 'c_List_Olist_OCons'( U, Y, Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 
% 1.95/2.29    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.95/2.29  , clause( 4462, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 1.95/2.29     ) ) ) ] )
% 1.95/2.29  , clause( 4463, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ) ] )
% 1.95/2.29  , clause( 4464, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 1.95/2.29  , clause( 4465, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 1.95/2.29  , clause( 4466, [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.95/2.29     ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4467, [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4468, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 
% 1.95/2.29    'c_List_Olist__inter'( 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( X, 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4469, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 
% 1.95/2.29    'c_List_Olist__inter'( 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 
% 1.95/2.29    'c_List_Olist__inter'( T, Y, Z ) ) ] )
% 1.95/2.29  , clause( 4470, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z )
% 1.95/2.29    , 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4471, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.95/2.29     ), Z, 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ] )
% 1.95/2.29  , clause( 4472, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.95/2.29    , 'tc_nat' ) ), =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z )
% 1.95/2.29    , Z ), Y ) ] )
% 1.95/2.29  , clause( 4473, [ =( 'c_List_Olist__update'( 'c_append'( X, 
% 1.95/2.29    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( 
% 1.95/2.29    T ) ), U, T ), 'c_append'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ] )
% 1.95/2.29  , clause( 4474, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.95/2.29    , 'tc_nat' ) ), =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, 
% 1.95/2.29    T, Z ), X, U, Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ] )
% 1.95/2.29  , clause( 4475, [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 
% 1.95/2.29    'c_insert'( 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ), 
% 1.95/2.29    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'( 
% 1.95/2.29    'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ] )
% 1.95/2.29  , clause( 4476, [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 
% 1.95/2.29    'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4477, [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.95/2.29  , clause( 4478, [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 
% 1.95/2.29    'c_insert'( 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4479, [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 
% 1.95/2.29    'tc_set'( Z ) ), Z ), 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), 
% 1.95/2.29    Z ) ) ] )
% 1.95/2.29  , clause( 4480, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4481, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4482, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4483, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4484, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4485, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4486, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4487, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4488, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4489, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4490, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4491, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4492, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4493, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4494, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4495, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4496, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4497, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4498, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4499, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4500, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4501, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4502, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4503, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4504, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4505, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4506, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4507, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4508, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4509, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4510, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4511, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, 
% 1.95/2.29    V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4512, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4513, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4514, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4515, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4516, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4517, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4518, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4519, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4520, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4521, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4522, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4523, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4524, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4525, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4526, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4527, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 
% 1.95/2.29    'tc_List_Onibble' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4528, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 1.95/2.29  , clause( 4529, [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T )
% 1.95/2.29    , T ), T ) ), 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ] )
% 1.95/2.29  , clause( 4530, [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T )
% 1.95/2.29    , T ), T ) ), 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ] )
% 1.95/2.29  , clause( 4531, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0'
% 1.95/2.29    , Z ), X ) ] )
% 1.95/2.29  , clause( 4532, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_Suc'( T ), Z ), 'c_List_Onth'( Y, T, Z ) ) ] )
% 1.95/2.29  , clause( 4533, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 
% 1.95/2.29    =( 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), T ), Y ) ] )
% 1.95/2.29  , clause( 4534, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4535, [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y
% 1.95/2.29    , Z, T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ] )
% 1.95/2.29  , clause( 4536, [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 
% 1.95/2.29    'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 
% 1.95/2.29    'c_List_Onth'( Y, T, Z ) ) ] )
% 1.95/2.29  , clause( 4537, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 
% 1.95/2.29    'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 
% 1.95/2.29    'c_List_Odrop'( X, Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 
% 1.95/2.29    'tc_nat' ), T ) ) ] )
% 1.95/2.29  , clause( 4538, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.95/2.29    , 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X
% 1.95/2.29    , Z ), T ) ] )
% 1.95/2.29  , clause( 4539, [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X
% 1.95/2.29    , T, U ), Y, U ), 'c_List_Onth'( Z, Y, U ) ) ] )
% 1.95/2.29  , clause( 4540, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.95/2.29    , 'tc_nat' ) ), 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), 
% 1.95/2.29    Z ) ] )
% 1.95/2.29  , clause( 4541, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 
% 1.95/2.29    'c_List_Oreplicate'( Y, Z, T ), X, T ), Z ) ] )
% 1.95/2.29  , clause( 4542, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 
% 1.95/2.29    'c_List_Otake'( Y, Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ] )
% 1.95/2.29  , clause( 4543, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) )
% 1.95/2.29    , =( 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y
% 1.95/2.29    , 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4544, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.95/2.29    , 'tc_nat' ) ), ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) )
% 1.95/2.29    , 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 
% 1.95/2.29    'tc_prod'( U, Z ) ), 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y
% 1.95/2.29    , X, Z ), U, Z ) ) ] )
% 1.95/2.29  , clause( 4545, [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ] )
% 1.95/2.29  , clause( 4546, [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4547, [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4548, [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 1.95/2.29  , clause( 4549, [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 1.95/2.29    , T ) ), 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ] )
% 1.95/2.29  , clause( 4550, [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4551, [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X, 
% 1.95/2.29    'c_List_Olist_OCons'( T, Y, Z ), Z ) ] )
% 1.95/2.29  , clause( 4552, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 
% 1.95/2.29    'c_List_Oremdups'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 1.95/2.29    'c_List_Oremdups'( Y, Z ) ) ] )
% 1.95/2.29  , clause( 4553, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 
% 1.95/2.29    'c_List_Oremdups'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( X, 'c_List_Oremdups'( Y, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4554, [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) )
% 1.95/2.29    , =( X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4555, [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4556, [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) )
% 1.95/2.29    , =( X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4557, [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 
% 1.95/2.29    'c_List_Olist_ONil', X ) ) ] )
% 1.95/2.29  , clause( 4558, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4559, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z )
% 1.95/2.29    , Z ), Y ) ] )
% 1.95/2.29  , clause( 4560, [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( 
% 1.95/2.29    Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T
% 1.95/2.29     ) ) ] )
% 1.95/2.29  , clause( 4561, [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4562, [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4563, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 1.95/2.29    'c_append'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 
% 1.95/2.29    'c_List_Olist_ONil', Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4564, [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'( 
% 1.95/2.29    'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4565, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, 
% 1.95/2.29    Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z
% 1.95/2.29    , 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 1.95/2.29  , clause( 4566, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 1.95/2.29    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 1.95/2.29    'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 1.95/2.29  , clause( 4567, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( 
% 1.95/2.29    X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4568, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4569, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), 
% 1.95/2.29    =( X, Z ) ] )
% 1.95/2.29  , clause( 4570, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 1.95/2.29    'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 1.95/2.29  , clause( 4571, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 1.95/2.29  , clause( 4572, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, 
% 1.95/2.29    'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z, 
% 1.95/2.29    'c_List_Olist_ONil', Y ) ) ] )
% 1.95/2.29  , clause( 4573, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 
% 1.95/2.29    'c_List_Olist_ONil', Y ), Y ), 'c_List_Olist_OCons'( X, 
% 1.95/2.29    'c_List_Olist_ONil', Y ) ) ] )
% 1.95/2.29  , clause( 4574, [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) )
% 1.95/2.29    , =( X, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4575, [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4576, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.95/2.29     ), 'c_1', 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ] )
% 1.95/2.29  , clause( 4577, [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 
% 1.95/2.29    'c_List_Orotate1'( 'c_List_Orotate'( X, Y, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4578, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 
% 1.95/2.29    'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y
% 1.95/2.29    , Z ), Y ) ] )
% 1.95/2.29  , clause( 4579, [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' )
% 1.95/2.29     ), =( Y, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4580, [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4581, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.95/2.29     ), 'c_1', 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ] )
% 1.95/2.29  , clause( 4582, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), 
% 1.95/2.29    =( Y, T ) ] )
% 1.95/2.29  , clause( 4583, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4584, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 1.95/2.29  , clause( 4585, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4586, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 1.95/2.29  , clause( 4587, [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 1.95/2.29    'c_insert'( X, 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4588, [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 
% 1.95/2.29    'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 1.95/2.29  , clause( 4589, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4590, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4591, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4592, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4593, [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 
% 1.95/2.29    'c_List_Oset'( X, Y ) ) ] )
% 1.95/2.29  , clause( 4594, [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 
% 1.95/2.29    'c_List_Oremove1'( Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 
% 1.95/2.29    'c_insert'( Z, 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ] )
% 1.95/2.29  , clause( 4595, [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, 
% 1.95/2.29    Y, Z ), Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ] )
% 1.95/2.29  , clause( 4596, [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 
% 1.95/2.29    'c_List_Oset'( X, Y ) ) ] )
% 1.95/2.29  , clause( 4597, [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 
% 1.95/2.29    'c_List_Oset'( X, Y ) ) ] )
% 1.95/2.29  , clause( 4598, [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 
% 1.95/2.29    'c_List_Oset'( Y, Z ) ) ] )
% 1.95/2.29  , clause( 4599, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 
% 1.95/2.29    'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 
% 1.95/2.29    'c_List_Olist_ONil', Y ) ) ] )
% 1.95/2.29  , clause( 4600, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 
% 1.95/2.29    'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4601, [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4602, [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4603, [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'( 
% 1.95/2.29    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ] )
% 1.95/2.29  , clause( 4604, [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'( 
% 1.95/2.29    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4605, [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 
% 1.95/2.29    'tc_nat' ), Z ), 'c_List_Otake'( Y, X, Z ) ) ] )
% 1.95/2.29  , clause( 4606, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 
% 1.95/2.29    =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4607, [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.95/2.29    , 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 
% 1.95/2.29    'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.95/2.29    , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_0' ) ] )
% 1.95/2.29  , clause( 4608, [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y
% 1.95/2.29    , Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4609, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.95/2.29     ), Z, 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ] )
% 1.95/2.29  , clause( 4610, [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 
% 1.95/2.29    'c_append'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 
% 1.95/2.29    'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 1.95/2.29  , clause( 4611, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) )
% 1.95/2.29    , =( X, 'c_0' ), =( Y, 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4612, [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4613, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4614, [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T )
% 1.95/2.29    , 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4615, [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 
% 1.95/2.29    'c_List_Otake'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ] )
% 1.95/2.29  , clause( 4616, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 
% 1.95/2.29    'tc_nat' ) ), =( 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 
% 1.95/2.29    'c_List_Oupt'( X, 'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.95/2.29  , clause( 4617, [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4618, [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4619, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( 
% 1.95/2.29    X, Y, Z ), Z ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ] )
% 1.95/2.29  , clause( 4620, [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y
% 1.95/2.29    , Z ), Z ), 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4621, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( 
% 1.95/2.29    X, 'c_Suc'( Y ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 
% 1.95/2.29    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4622, [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 
% 1.95/2.29    'c_Suc'( Y ) ), 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4623, [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 
% 1.95/2.29    'c_lessequals'( Y, X, 'tc_nat' ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 4624, [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4625, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( 
% 1.95/2.29    Y, X ), 'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4626, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 1.95/2.29  , clause( 4627, [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4628, [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'( 
% 1.95/2.29    X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ] )
% 1.95/2.29  , clause( 4629, [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 
% 1.95/2.29    'c_List_Olist_ONil' ) ] )
% 1.95/2.29  , clause( 4630, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.95/2.29    'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 
% 1.95/2.29    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 
% 1.95/2.29    'c_List_Ozip'( 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 
% 1.95/2.29    'c_append'( 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 
% 1.95/2.29    'tc_prod'( Y, T ) ) ) ] )
% 1.95/2.29  , clause( 4631, [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 
% 1.95/2.29    'c_List_Oreplicate'( T, U, W ), Z, W ), 'c_List_Oreplicate'( 
% 1.95/2.29    'c_Orderings_Omin'( X, T, 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( 
% 1.95/2.29    Z, W ) ) ) ] )
% 1.95/2.29  , clause( 4632, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 
% 1.95/2.29    'c_Map_Omap__of'( 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 
% 1.95/2.29    'c_Datatype_Ooption_ONone' ) ), ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( 
% 1.95/2.29    Z ) ), 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ) ) ) ] )
% 1.95/2.29  , clause( 4633, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.95/2.29    'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X
% 1.95/2.29    , Y ), Y ), =( 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ), 
% 1.95/2.29    'c_Datatype_Ooption_ONone' ) ] )
% 1.95/2.29  , clause( 4634, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 
% 1.95/2.29    'c_minus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 
% 1.95/2.29    'tc_nat' ), X, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4635, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 
% 1.95/2.29    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 
% 1.95/2.29    'tc_nat' ), X, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4636, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 
% 1.95/2.29    'c_Suc'( 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( 
% 1.95/2.29    Z, X, 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4637, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 
% 1.95/2.29    'c_Suc'( 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( 
% 1.95/2.29    Y ), 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4638, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 
% 1.95/2.29    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.95/2.29  , clause( 4639, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 
% 1.95/2.29    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 
% 1.95/2.29    'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4640, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    Y, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4641, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), =( 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 
% 1.95/2.29    'c_NatArith_Oof__nat'( Y, X ), 'c_1', X ) ) ] )
% 1.95/2.29  , clause( 4642, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    =( 'c_0', 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 1.95/2.29  , clause( 4643, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 
% 1.95/2.29    'c_0', 'c_NatArith_Oof__nat'( 'c_0', X ) ) ] )
% 1.95/2.29  , clause( 4644, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4645, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y
% 1.95/2.29    , 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4646, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( 
% 1.95/2.29    Y, X ), X ) ] )
% 1.95/2.29  , clause( 4647, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), =( 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 4648, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), =( 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'( 
% 1.95/2.29    'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 4649, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( 
% 1.95/2.29    Z, Y, 'tc_nat' ), X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 
% 1.95/2.29    'c_NatArith_Oof__nat'( Y, X ), X ) ) ] )
% 1.95/2.29  , clause( 4650, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    =( 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 4651, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 
% 1.95/2.29    'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4652, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    =( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y
% 1.95/2.29    , Z ) ] )
% 1.95/2.29  , clause( 4653, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4654, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4655, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, 
% 1.95/2.29    X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4656, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'( 
% 1.95/2.29    Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ] )
% 1.95/2.29  , clause( 4657, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ] )
% 1.95/2.29  , clause( 4658, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X
% 1.95/2.29     ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4659, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 
% 1.95/2.29    'c_NatArith_Oof__nat'( Z, X ), X ) ] )
% 1.95/2.29  , clause( 4660, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), =( 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 
% 1.95/2.29    'c_times'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), 
% 1.95/2.29    X ) ) ] )
% 1.95/2.29  , clause( 4661, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Suc'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_1' ) ] )
% 1.95/2.29  , clause( 4662, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Suc'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4663, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_plus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4664, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.95/2.29    'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4665, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.95/2.29    'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.95/2.29    Y, X ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4666, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4667, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_div'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ) ] )
% 1.95/2.29  , clause( 4668, [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 
% 1.95/2.29    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4669, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) )
% 1.95/2.29    , 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4670, [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 
% 1.95/2.29    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4671, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4672, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4673, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 
% 1.95/2.29    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4674, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 
% 1.95/2.29    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4675, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4676, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4677, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.95/2.29    , ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4678, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4679, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4680, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4681, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.95/2.29    , 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4682, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4683, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.29    'c_Numeral_Obin__minus'( X ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.95/2.29    , 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4684, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4685, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 
% 1.95/2.29    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.95/2.29    , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4686, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 
% 1.95/2.29    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4687, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4688, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4689, [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 
% 1.95/2.29    'c_plus'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4690, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4691, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 4692, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.95/2.29     ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_Obin__minus'( X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4693, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_Obin__minus'( X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4694, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 4695, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4696, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4697, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.95/2.29    , 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.95/2.29    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4698, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.95/2.29    , 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.95/2.29    , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4699, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4700, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.95/2.29    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4701, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.95/2.29    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 
% 1.95/2.29    'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4702, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4703, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( 
% 1.95/2.29    X, Y ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4704, [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ) ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4705, [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' )
% 1.95/2.29    , 'c_0' ) ] )
% 1.95/2.29  , clause( 4706, [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ] )
% 1.95/2.29  , clause( 4707, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), =( 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, 'tc_nat' ), X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4708, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 
% 1.95/2.29    'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 1.95/2.29  , clause( 4709, [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X
% 1.95/2.29    , 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4710, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.95/2.29    'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.29    'c_Suc'( 'c_0' ) ) ] )
% 1.95/2.29  , clause( 4711, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 
% 1.95/2.29    'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.29    'c_IntDef_Onat'( 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X
% 1.95/2.29    , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ] )
% 1.95/2.29  , clause( 4712, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_1', 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_nat' ), X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 4713, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X ), 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Y, X
% 1.95/2.29     ), X ) ) ] )
% 1.95/2.29  , clause( 4714, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.95/2.29    'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.95/2.29    , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_nat' ), Z, 'tc_nat' ), X ) ) ] )
% 1.95/2.29  , clause( 4715, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.95/2.29    , 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4716, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Nat_Opower'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, 'tc_nat' ), 'tc_IntDef_Oint' ) ) ) ] )
% 1.95/2.29  , clause( 4717, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_nat' ), X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4718, [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.95/2.29    'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4719, [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) )
% 1.95/2.29     ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.29    'c_Divides_Oop_Amod'( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'tc_nat' ), X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4720, [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.95/2.29    'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.95/2.29     ) ) ] )
% 1.95/2.29  , clause( 4721, [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.95/2.29    'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4722, [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.95/2.29  , clause( 4723, [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4724, [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 
% 1.95/2.29    'tc_nat' ), 'c_div'( X, 'c_plus'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.95/2.29    , 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4725, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.95/2.29     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4726, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.95/2.29    , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.95/2.29    , 'c_0' ) ] )
% 1.95/2.29  , clause( 4727, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.95/2.29     ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.95/2.29    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ] )
% 1.95/2.29  , clause( 4728, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.95/2.29     ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4729, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.95/2.29    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4730, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4731, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.95/2.29    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.95/2.29    , X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4732, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 
% 1.95/2.29    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ] )
% 1.95/2.29  , clause( 4733, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), 
% 1.95/2.29    X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.95/2.29     ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4734, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.95/2.29     ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.95/2.29    , 'c_0', X ) ] )
% 1.95/2.29  , clause( 4735, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.95/2.29    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 1.95/2.29    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4736, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.95/2.29    , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4737, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4738, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.95/2.29    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 
% 1.95/2.29    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.95/2.29  , clause( 4739, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'( 
% 1.95/2.29    T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4740, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, 
% 1.95/2.29    X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.95/2.29    , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 4741, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'( 
% 1.95/2.29    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 
% 1.95/2.29    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ] )
% 1.95/2.29  , clause( 4742, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.95/2.29     ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.95/2.29    , X ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4743, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.95/2.29    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.95/2.29     ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.95/2.29    , T, X ) ] )
% 1.95/2.29  , clause( 4744, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'( 
% 1.95/2.29    'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4745, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4746, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.95/2.29    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4747, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.95/2.29    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4748, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.95/2.29    , X ), 'c_less'( 'c_0', Z, X ) ] )
% 1.95/2.29  , clause( 4749, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.95/2.29     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.95/2.29    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4750, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.95/2.29     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 1.95/2.29    'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4751, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.95/2.29    , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4752, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.95/2.29    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4753, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'( 
% 1.95/2.29    Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.95/2.29     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4754, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.95/2.29     ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.95/2.29  , clause( 4755, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.95/2.29    , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4756, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.95/2.29     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.95/2.29    , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'( 
% 1.95/2.29    'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.95/2.29  , clause( 4757, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4758, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.95/2.29    'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4759, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.95/2.29    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.95/2.29    , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4760, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.95/2.29     ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.95/2.29     ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4761, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4762, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.95/2.29     ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.95/2.29    , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ] )
% 1.95/2.29  , clause( 4763, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.95/2.29    , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.95/2.29     ), X ) ) ] )
% 1.95/2.29  , clause( 4764, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.95/2.29     ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4765, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, 
% 1.95/2.29    X ), X ) ) ] )
% 1.95/2.29  , clause( 4766, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ), 
% 1.95/2.29    'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) ) ] )
% 1.95/2.29  , clause( 4767, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'( 
% 1.95/2.29    'c_1', X ), X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 4768, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.95/2.29  , clause( 4769, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4770, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.95/2.29     ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ] )
% 1.95/2.29  , clause( 4771, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_divide'( 'c_1', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.95/2.29  , clause( 4772, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'( 
% 1.95/2.29    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'( 
% 1.95/2.29    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ] )
% 1.95/2.29  , clause( 4773, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.95/2.29    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'( 
% 1.95/2.29    Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4774, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4775, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.95/2.29    'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.95/2.29    , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4776, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.95/2.29    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 
% 1.95/2.29    'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4777, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.95/2.29    , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 4778, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z, 
% 1.95/2.29    'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4779, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.95/2.29    , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.95/2.29     ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 4780, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z, 
% 1.95/2.29    'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.95/2.29     ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), 
% 1.95/2.29    X ), X ) ] )
% 1.95/2.29  , clause( 4781, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y, 
% 1.95/2.29    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4782, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 4783, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 4784, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 1.95/2.29    'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4785, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4786, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_minus'( Y, Z, X )
% 1.95/2.29    , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_minus'( 'c_times'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ] )
% 1.95/2.29  , clause( 4787, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z, 
% 1.95/2.29    X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ] )
% 1.95/2.29  , clause( 4788, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.95/2.29  , clause( 4789, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.95/2.29    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.95/2.29  , clause( 4790, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y, 
% 1.95/2.29    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.95/2.29    'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4791, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.95/2.29     ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.95/2.29     ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4792, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.95/2.29    , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.95/2.29  , clause( 4793, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.95/2.29     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.95/2.29    , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.95/2.29    , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.95/2.29  , clause( 4794, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'( 
% 1.95/2.29    T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4795, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.95/2.29     ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.95/2.29    , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.95/2.29    , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4796, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.95/2.29    , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'( 
% 1.95/2.29    Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4797, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.95/2.29     ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.95/2.29    , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.95/2.29    , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), 
% 1.95/2.29    X ), X ) ] )
% 1.95/2.29  , clause( 4798, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.95/2.29    , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4799, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4800, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4801, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4802, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( 
% 1.95/2.29    'c_divide'( 'c_1', Y, X ), X ) ) ] )
% 1.95/2.29  , clause( 4803, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ] )
% 1.95/2.29  , clause( 4804, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.95/2.29     ) ) ] )
% 1.95/2.29  , clause( 4805, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.95/2.29    , Y, X ) ] )
% 1.95/2.29  , clause( 4806, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ), 
% 1.95/2.29    'c_1', X ) ] )
% 1.95/2.29  , clause( 4807, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4808, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4809, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4810, [ ~( 'class_HOL_Oone'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4811, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.95/2.29  , clause( 4812, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'( 
% 1.95/2.29    'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4813, [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4814, [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'c_1' ) ] )
% 1.95/2.29  , clause( 4815, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.29    'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4816, [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y
% 1.95/2.29     ) ) ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 
% 1.95/2.29    'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4817, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4818, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4819, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.95/2.29    , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4820, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.95/2.29    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 1.95/2.29  , clause( 4821, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.95/2.29    'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ] )
% 1.95/2.29  , clause( 4822, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 1.95/2.29  , clause( 4823, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4824, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4825, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4826, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.95/2.29    'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.95/2.29    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4827, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 
% 1.95/2.29    'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4828, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.95/2.29    , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4829, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ] )
% 1.95/2.29  , clause( 4830, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ] )
% 1.95/2.29  , clause( 4831, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4832, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.95/2.29    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.95/2.29  , clause( 4833, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.95/2.29    , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4834, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.95/2.29    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 1.95/2.29  , clause( 4835, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ] )
% 1.95/2.29  , clause( 4836, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ] )
% 1.95/2.29  , clause( 4837, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 
% 1.95/2.29    'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4838, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.95/2.29    , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.95/2.29    'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.95/2.29  , clause( 4839, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.95/2.29    , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), 
% 1.95/2.29    'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4840, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.95/2.29    , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.95/2.29  , clause( 4841, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X ), X ), 'c_minus'( 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 1.95/2.29  , clause( 4842, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'( 
% 1.95/2.29    'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 1.95/2.29  , clause( 4843, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 
% 1.95/2.29    'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4844, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.95/2.29    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4845, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.95/2.29    , X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4846, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 
% 1.95/2.29    'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ] )
% 1.95/2.29  , clause( 4847, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.95/2.29     ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.95/2.29    , Y, X ), X ) ] )
% 1.95/2.29  , clause( 4848, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', 
% 1.95/2.29    X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.95/2.29    , Y, X ), X ) ] )
% 1.95/2.29  , clause( 4849, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4850, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 1.95/2.29    'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4851, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( 
% 1.95/2.29    'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 4852, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z, 
% 1.95/2.29    'c_0', X ), 'c_less'( 'c_0', Z, X ) ] )
% 1.95/2.29  , clause( 4853, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.95/2.29     ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.95/2.29    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4854, [ ~( 'class_Numeral_Onumber'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.95/2.29     ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 
% 1.95/2.29    'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4855, [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ] )
% 1.95/2.29  , clause( 4856, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 1.95/2.29  , clause( 4857, [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 1.95/2.29    'c_Suc'( Z ), 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 
% 1.95/2.29    'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4858, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' )
% 1.95/2.29     ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4859, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4860, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 1.95/2.29    'c_less'( X, Y, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4861, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 
% 1.95/2.29    'c_Suc'( Y ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4862, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 1.95/2.29  , clause( 4863, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 
% 1.95/2.29    'c_minus'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), X ) ] )
% 1.95/2.29  , clause( 4864, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 1.95/2.29  , clause( 4865, [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.95/2.29  , clause( 4866, [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 1.95/2.29    'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.95/2.29  , clause( 4867, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.95/2.29     ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4868, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4869, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4870, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4871, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4872, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4873, [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4874, [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 
% 1.95/2.29    'c_minus'( X, Y, 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4875, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( 
% 1.95/2.29    X, 'c_Suc'( Y ), 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4876, [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' )
% 1.95/2.29    , 'c_minus'( X, 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4877, [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 
% 1.95/2.29    'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4878, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y
% 1.95/2.29    , 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4879, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4880, [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4881, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4882, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4883, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 
% 1.95/2.29    'c_minus'( Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 1.95/2.29  , clause( 4884, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 
% 1.95/2.29    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), Y ) ] )
% 1.95/2.29  , clause( 4885, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 1.95/2.29    'c_0' ) ] )
% 1.95/2.29  , clause( 4886, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4887, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 4888, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4889, [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ] )
% 1.95/2.29  , clause( 4890, [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.95/2.29  , clause( 4891, [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 
% 1.95/2.29    'tc_nat' ), 'c_Suc'( 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ] )
% 1.95/2.29  , clause( 4892, [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4893, [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4894, [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 
% 1.95/2.29    'tc_nat' ), 'c_Suc'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ] )
% 1.95/2.29  , clause( 4895, [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4896, [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 
% 1.95/2.29    'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4897, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 
% 1.95/2.29    'tc_nat' ) ) ), =( Y, Z ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 4898, [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 
% 1.95/2.29    'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4899, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 
% 1.95/2.29    'tc_nat' ) ) ), =( X, Z ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 4900, [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 
% 1.95/2.29    'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4901, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), 
% 1.95/2.29    =( X, 'c_1' ) ] )
% 1.95/2.29  , clause( 4902, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), 
% 1.95/2.29    =( Y, 'c_1' ) ] )
% 1.95/2.29  , clause( 4903, [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4904, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 1.95/2.29     ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 4905, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 
% 1.95/2.29    'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4906, [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( 
% 1.95/2.29    X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4907, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4908, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_times'( Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 
% 1.95/2.29    'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4909, [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( 
% 1.95/2.29    Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4910, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4911, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z
% 1.95/2.29    , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4912, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z
% 1.95/2.29    , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4913, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 
% 1.95/2.29    'tc_nat' ) ), 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4914, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y
% 1.95/2.29    , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4915, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y
% 1.95/2.29    , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4916, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 
% 1.95/2.29    'tc_nat' ) ), 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4917, [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.95/2.29     ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4918, [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.95/2.29     ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4919, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4920, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 
% 1.95/2.29    'tc_nat' ) ) ), =( Y, Z ) ] )
% 1.95/2.29  , clause( 4921, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( 
% 1.95/2.29    X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4922, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_plus'( Z, X, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4923, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4924, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X
% 1.95/2.29    , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4925, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 
% 1.95/2.29    'tc_nat' ) ) ), =( X, Z ) ] )
% 1.95/2.29  , clause( 4926, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4927, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4928, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 4929, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4930, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4931, [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), 
% 1.95/2.29    =( X, 'c_1' ) ] )
% 1.95/2.29  , clause( 4932, [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), 
% 1.95/2.29    =( Y, 'c_1' ) ] )
% 1.95/2.29  , clause( 4933, [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 4934, [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4935, [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 
% 1.95/2.29    'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4936, [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_1', Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' )
% 1.95/2.29    , 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4937, [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 4938, [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 
% 1.95/2.29    'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 4939, [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ] )
% 1.95/2.29  , clause( 4940, [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 1.95/2.29    'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.95/2.29  , clause( 4941, [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.95/2.29  , clause( 4942, [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.95/2.29     ) ), 'c_less'( Y, X, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4943, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 4944, [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_OMin' ) ] )
% 1.95/2.29  , clause( 4945, [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB0' ), 'c_Numeral_OPls' ) ] )
% 1.95/2.29  , clause( 4946, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.95/2.29    , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.95/2.29    Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ] )
% 1.95/2.29  , clause( 4947, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.95/2.29     ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 
% 1.95/2.29    Y, Z ), X ), T, X ) ) ] )
% 1.95/2.29  , clause( 4948, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB0' ), 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_Obin__add'( X, Y ), Z ) ) ] )
% 1.95/2.29  , clause( 4949, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4950, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) )
% 1.95/2.29    , 'c_Numeral_Obit_OB0' ) ) ] )
% 1.95/2.29  , clause( 4951, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ), 
% 1.95/2.29    'c_Numeral_Obin__pred'( X ) ) ] )
% 1.95/2.29  , clause( 4952, [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ), 
% 1.95/2.29    'c_Numeral_Obin__pred'( X ) ) ] )
% 1.95/2.29  , clause( 4953, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ] )
% 1.95/2.29  , clause( 4954, [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ] )
% 1.95/2.29  , clause( 4955, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ] )
% 1.95/2.29  , clause( 4956, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_Obin__minus'( Y ), X ) ) ] )
% 1.95/2.29  , clause( 4957, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 
% 1.95/2.29    'c_1', X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ] )
% 1.95/2.29  , clause( 4958, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ] )
% 1.95/2.29  , clause( 4959, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Z ) ), X ) ) ] )
% 1.95/2.29  , clause( 4960, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    Y, X ), X ) ) ] )
% 1.95/2.29  , clause( 4961, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4962, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X )
% 1.95/2.29    , 'c_Numeral_Obit_OB0' ) ) ] )
% 1.95/2.29  , clause( 4963, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 
% 1.95/2.29    'c_Numeral_Obin__minus'( X ) ), 'c_Numeral_Obit_OB1' ) ) ] )
% 1.95/2.29  , clause( 4964, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ] )
% 1.95/2.29  , clause( 4965, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 
% 1.95/2.29    'c_Numeral_OPls' ) ] )
% 1.95/2.29  , clause( 4966, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB0' ), Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.95/2.29    , Y ), 'c_Numeral_Obit_OB0' ) ) ] )
% 1.95/2.29  , clause( 4967, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_Obin__mult'( X, Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ] )
% 1.95/2.29  , clause( 4968, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ), 
% 1.95/2.29    'c_Numeral_Obin__minus'( X ) ) ] )
% 1.95/2.29  , clause( 4969, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 
% 1.95/2.29    'c_Numeral_OPls' ) ] )
% 1.95/2.29  , clause( 4970, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 
% 1.95/2.29    'c_Numeral_Obit_OB1' ) ) ] )
% 1.95/2.29  , clause( 4971, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4972, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ] )
% 1.95/2.29  , clause( 4973, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 
% 1.95/2.29    'c_Numeral_OMin' ) ] )
% 1.95/2.29  , clause( 4974, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.95/2.29     ) ), ~( 'c_IntDef_Oiszero'( 'c_1', X ) ) ] )
% 1.95/2.29  , clause( 4975, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ] )
% 1.95/2.29  , clause( 4976, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ), 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4977, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ] )
% 1.95/2.29  , clause( 4978, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4979, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4980, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 
% 1.95/2.29    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ] )
% 1.95/2.29  , clause( 4981, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.95/2.29    , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ] )
% 1.95/2.29  , clause( 4982, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 1.95/2.29    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4983, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 4984, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.95/2.29    , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 4985, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 4986, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.95/2.29    , X ) ) ] )
% 1.95/2.29  , clause( 4987, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ] )
% 1.95/2.29  , clause( 4988, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, 
% 1.95/2.29    'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4989, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ] )
% 1.95/2.29  , clause( 4990, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_0', X ) ) ] )
% 1.95/2.29  , clause( 4991, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.95/2.29    'c_IntDef_Oneg'( 'c_1', X ) ) ] )
% 1.95/2.29  , clause( 4992, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 4993, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 
% 1.95/2.29    'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 
% 1.95/2.29    'c_Numeral_Obit_OB0' ) ) ] )
% 1.95/2.29  , clause( 4994, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 
% 1.95/2.29    'c_Numeral_OPls' ) ] )
% 1.95/2.29  , clause( 4995, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ] )
% 1.95/2.29  , clause( 4996, [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 
% 1.95/2.29    'c_Numeral_Obit_OB0', Z ), X ) ] )
% 1.95/2.29  , clause( 4997, [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 
% 1.95/2.29    'c_Numeral_Obit_OB1', Z ), Y ) ] )
% 1.95/2.29  , clause( 4998, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ] )
% 1.95/2.29  , clause( 4999, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ] )
% 1.95/2.29  , clause( 5000, [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0'
% 1.95/2.29    , Z ), X ) ] )
% 1.95/2.29  , clause( 5001, [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1'
% 1.95/2.29    , Z ), Y ) ] )
% 1.95/2.29  , clause( 5002, [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit'
% 1.95/2.29     ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5003, [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit'
% 1.95/2.29     ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5004, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.95/2.29    'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ] )
% 1.95/2.29  , clause( 5005, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.95/2.29     ) ) ] )
% 1.95/2.29  , clause( 5006, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y
% 1.95/2.29    , 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X )
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 5007, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.95/2.29     ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ] )
% 1.95/2.29  , clause( 5008, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5009, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5010, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_plus'( 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5011, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , ~( =( 'c_0', 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5012, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , =( 'c_0', 'c_HOL_Oabs'( 'c_0', X ) ) ] )
% 1.95/2.29  , clause( 5013, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , =( 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), 
% 1.95/2.29    X ), X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5014, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , ~( =( 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5015, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , =( 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5016, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 5017, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , =( 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ] )
% 1.95/2.29  , clause( 5018, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5019, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 5020, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , =( 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ] )
% 1.95/2.29  , clause( 5021, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , ~( 'c_less'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ] )
% 1.95/2.29  , clause( 5022, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 1.95/2.29  , clause( 5023, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( 
% 1.95/2.29    Y, X ) ) ] )
% 1.95/2.29  , clause( 5024, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.95/2.29    'c_plus'( Y, 'c_0', X ), Y ) ] )
% 1.95/2.29  , clause( 5025, [ ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 
% 1.95/2.29    'c_lessequals'( Z, T, X ) ] )
% 1.95/2.29  , clause( 5026, [ ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ), 
% 1.95/2.29    'c_plus'( T, Z, X ), X ) ] )
% 1.95/2.29  , clause( 5027, [ ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 
% 1.95/2.29    'c_lessequals'( Y, T, X ) ] )
% 1.95/2.29  , clause( 5028, [ ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ), 
% 1.95/2.29    'c_plus'( Z, T, X ), X ) ] )
% 1.95/2.29  , clause( 5029, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.95/2.29    ~( =( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ] )
% 1.95/2.29  , clause( 5030, [ ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'( Z, T
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 5031, [ ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z, X )
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 5032, [ ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'( Y, T
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 5033, [ ~( 
% 1.95/2.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T, X )
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 5034, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.95/2.29    ~( =( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ] )
% 1.95/2.29  , clause( 5035, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.95/2.29    'c_plus'( 'c_0', Y, X ), Y ) ] )
% 1.95/2.29  , clause( 5036, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_minus'( 'c_0', Y, X ), 'c_uminus'( Y, X ) ) ] )
% 1.95/2.29  , clause( 5037, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_minus'( Y, 'c_0', X ), Y ) ] )
% 1.95/2.29  , clause( 5038, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.95/2.29    'c_minus'( Y, Z, X ), 'c_0' ) ), =( Y, Z ) ] )
% 1.95/2.29  , clause( 5039, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( 
% 1.95/2.29    Y, Z, X ) ] )
% 1.95/2.29  , clause( 5040, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 
% 1.95/2.29    'c_0', X ) ] )
% 1.95/2.29  , clause( 5041, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5042, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5043, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_minus'( Y, 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ] )
% 1.95/2.29  , clause( 5044, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_minus'( Y, Y, X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5045, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 
% 1.95/2.29    'c_0', X ) ] )
% 1.95/2.29  , clause( 5046, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 
% 1.95/2.29    'c_0', X ) ] )
% 1.95/2.29  , clause( 5047, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X )
% 1.95/2.29    , 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.95/2.29  , clause( 5048, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ), 
% 1.95/2.29    'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 5049, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    =( 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5050, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.95/2.29    'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5051, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    =( 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5052, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.95/2.29    'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5053, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_uminus'( 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 
% 1.95/2.29    'c_uminus'( Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 5054, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_uminus'( 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ] )
% 1.95/2.29  , clause( 5055, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_uminus'( 'c_uminus'( Y, X ), X ), Y ) ] )
% 1.95/2.29  , clause( 5056, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.95/2.29    'c_times'( 'c_1', Y, X ), Y ) ] )
% 1.95/2.29  , clause( 5057, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.95/2.29    'c_times'( Y, 'c_1', X ), Y ) ] )
% 1.95/2.29  , clause( 5058, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.95/2.29    'c_0', 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 1.95/2.29  , clause( 5059, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0'
% 1.95/2.29    , 'c_uminus'( 'c_0', X ) ) ] )
% 1.95/2.29  , clause( 5060, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y
% 1.95/2.29    , 'c_0', X ) ] )
% 1.95/2.29  , clause( 5061, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( 
% 1.95/2.29    Y, X ), X ) ] )
% 1.95/2.29  , clause( 5062, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5063, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5064, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.95/2.29    'c_uminus'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5065, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_uminus'( 'c_0', X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5066, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.95/2.29    'c_uminus'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ] )
% 1.95/2.29  , clause( 5067, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.95/2.29    'c_uminus'( 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 
% 1.95/2.29    'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 5068, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 
% 1.95/2.29    'c_0', Y, X ) ] )
% 1.95/2.29  , clause( 5069, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X )
% 1.95/2.29    , 'c_0', X ) ] )
% 1.95/2.29  , clause( 5070, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 
% 1.95/2.29    'c_lessequals'( Z, Y, X ) ] )
% 1.95/2.29  , clause( 5071, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ), 
% 1.95/2.29    'c_uminus'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 5072, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5073, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5074, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_less'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z
% 1.95/2.29    , Y, X ) ] )
% 1.95/2.29  , clause( 5075, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.95/2.29    , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, 
% 1.95/2.29    X ), X ) ] )
% 1.95/2.29  , clause( 5076, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.95/2.29    'c_uminus'( 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 
% 1.95/2.29    'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 5077, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.95/2.29    'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5078, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 5079, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5080, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 5081, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X
% 1.95/2.29     ), 'c_OrderedGroup_Onprt'( Z, X ), X ) ] )
% 1.95/2.29  , clause( 5082, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 
% 1.95/2.29    'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5083, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 5084, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5085, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X
% 1.95/2.29     ), 'c_OrderedGroup_Opprt'( Z, X ), X ) ] )
% 1.95/2.29  , clause( 5086, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.95/2.29    'c_plus'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5087, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0'
% 1.95/2.29    , Y, X ) ] )
% 1.95/2.29  , clause( 5088, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 5089, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.95/2.29    'c_lessequals'( 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 5090, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , ~( 'c_less'( 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ] )
% 1.95/2.29  , clause( 5091, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.95/2.29    , 'c_less'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5092, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ] )
% 1.95/2.29  , clause( 5093, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ] )
% 1.95/2.29  , clause( 5094, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z
% 1.95/2.29    , X ) ), ~( 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X
% 1.95/2.29     ), Z, X ) ] )
% 1.95/2.29  , clause( 5095, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 1.95/2.29  , clause( 5096, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 
% 1.95/2.29    'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ] )
% 1.95/2.29  , clause( 5097, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z
% 1.95/2.29    , X ) ), ~( 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z
% 1.95/2.29    , X ), X ) ] )
% 1.95/2.29  , clause( 5098, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.95/2.29  , clause( 5099, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ] )
% 1.95/2.29  , clause( 5100, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 
% 1.95/2.29    'c_Orderings_Omin'( T, Z, X ), X ) ] )
% 1.95/2.29  , clause( 5101, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.95/2.29    'c_Orderings_Omin'( Y, Y, X ), Y ) ] )
% 1.95/2.29  , clause( 5102, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.95/2.29    'c_Orderings_Omin'( Y, 'c_Orderings_Omin'( Y, Z, X ), X ), 
% 1.95/2.29    'c_Orderings_Omin'( Y, Z, X ) ) ] )
% 1.95/2.29  , clause( 5103, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ] )
% 1.95/2.29  , clause( 5104, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ] )
% 1.95/2.29  , clause( 5105, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    Y, Z, X ) ), ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 
% 1.95/2.29    'c_Orderings_Omax'( T, Y, X ), Z, X ) ] )
% 1.95/2.29  , clause( 5106, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.95/2.29    'c_Orderings_Omax'( Y, Y, X ), Y ) ] )
% 1.95/2.29  , clause( 5107, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.95/2.29    'c_Orderings_Omax'( Y, 'c_Orderings_Omax'( Y, Z, X ), X ), 
% 1.95/2.29    'c_Orderings_Omax'( Y, Z, X ) ) ] )
% 1.95/2.29  , clause( 5108, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 1.95/2.29     ) ) ] )
% 1.95/2.29  , clause( 5109, [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.95/2.29     ), 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5110, [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5111, [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5112, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 
% 1.95/2.29    'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.95/2.29    , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5113, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 1.95/2.29    'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.95/2.29     ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5114, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 1.95/2.29    'c_Parity_Oeven'( 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.95/2.29     ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5115, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 1.95/2.29    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y
% 1.95/2.29    , X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5116, [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 
% 1.95/2.29    Y, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5117, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_Suc'( X ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 5118, [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 
% 1.95/2.29    'c_Suc'( X ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5119, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ) ), 'c_Parity_Oeven'( X, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5120, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5121, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.95/2.29    , Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ) ] )
% 1.95/2.29  , clause( 5122, [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 
% 1.95/2.29    'tc_nat' ) ] )
% 1.95/2.29  , clause( 5123, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 
% 1.95/2.29    'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5124, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 
% 1.95/2.29    'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5125, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5126, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5127, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5128, [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 
% 1.95/2.29    'tc_nat' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5129, [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5130, [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5131, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5132, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 
% 1.95/2.29    'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5133, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5134, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 
% 1.95/2.29    'c_0', Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5135, [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' )
% 1.95/2.29    , 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ), 
% 1.95/2.29    'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5136, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5137, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 
% 1.95/2.29    'c_Parity_Oeven'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5138, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 1.95/2.29    'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.95/2.29     ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5139, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 1.95/2.29    'c_Parity_Oeven'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.95/2.29     ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5140, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 
% 1.95/2.29    'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y
% 1.95/2.29    , X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5141, [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 
% 1.95/2.29    Y, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.95/2.29     ), 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5142, [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ] )
% 1.95/2.29  , clause( 5143, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.95/2.29    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5144, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 1.95/2.29    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'( 
% 1.95/2.29    'c_1', X ) ) ] )
% 1.95/2.29  , clause( 5145, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Power_Orecpower'( X ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 
% 1.95/2.29    'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 
% 1.95/2.29    'c_1' ) ] )
% 1.95/2.29  , clause( 5146, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 
% 1.95/2.29    'class_Power_Orecpower'( X ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 
% 1.95/2.29    'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ] )
% 1.95/2.29  , clause( 5147, [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_0' ), =( 'c_Divides_Oop_Amod'( X, 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5148, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 
% 1.95/2.29    'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls', 
% 1.95/2.29    'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X, 
% 1.95/2.29    'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'( 
% 1.95/2.29    'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 
% 1.95/2.29    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ] )
% 1.95/2.29  , clause( 5149, [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 1.95/2.29  , clause( 5150, [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5151, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5152, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5153, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5154, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5155, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.95/2.29    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ] )
% 1.95/2.29  , clause( 5156, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.95/2.29     ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ] )
% 1.95/2.29  , clause( 5157, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.95/2.29     ) ), =( Z, 'c_0' ) ] )
% 1.95/2.29  , clause( 5158, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.95/2.29     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.95/2.29     ), 'c_lessequals'( Y, 'c_0', X ) ] )
% 1.95/2.29  , clause( 5159, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.95/2.29     ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5160, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y, 
% 1.95/2.29    'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.95/2.29    , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.95/2.29    , 'c_0' ) ] )
% 1.95/2.29  , clause( 5161, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.95/2.29    , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5162, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.95/2.29     ) ) ] )
% 1.95/2.29  , clause( 5163, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.95/2.29     ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.95/2.29  , clause( 5164, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.95/2.29     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.95/2.29     ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.95/2.29    X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 5165, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y, 
% 1.95/2.29    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 
% 1.95/2.29    'c_Nat_Opower'( Z, Y, X ) ) ] )
% 1.95/2.29  , clause( 5166, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y, 
% 1.95/2.29    'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'( 
% 1.95/2.29    'c_Nat_Opower'( Z, Y, X ), X ) ) ] )
% 1.95/2.29  , clause( 5167, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 1.95/2.29    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.29    'c_lessequals'( 'c_0', Y, X ) ] )
% 1.95/2.29  , clause( 5168, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 5169, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.95/2.29    , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ] )
% 1.95/2.29  , clause( 5170, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ), 
% 1.95/2.29    'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.29    'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 5171, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.95/2.29    , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.95/2.29     ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5172, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.95/2.29    , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.95/2.29    , 'c_0' ) ] )
% 1.95/2.29  , clause( 5173, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ] )
% 1.95/2.29  , clause( 5174, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'( 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.95/2.29    , 'c_0' ) ] )
% 1.95/2.29  , clause( 5175, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.95/2.29     ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.95/2.29     ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 
% 1.95/2.29    'tc_nat' ), X ), X ) ] )
% 1.95/2.29  , clause( 5176, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 
% 1.95/2.29    'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 
% 1.95/2.29    'c_less'( 'c_0', X, 'tc_nat' ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.95/2.29    , 'c_0' ) ] )
% 1.95/2.29  , clause( 5177, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 
% 1.95/2.29    'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.95/2.29     ), 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5178, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ) ] )
% 1.95/2.29  , clause( 5179, [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_Suc'( 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5180, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' )
% 1.95/2.29    , 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 5181, [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ), =( X, 'c_0' ) ] )
% 1.95/2.29  , clause( 5182, [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 
% 1.95/2.29    'tc_nat' ) ] )
% 1.95/2.29  , clause( 5183, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5184, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( 
% 1.95/2.29    X, 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.95/2.29  , clause( 5185, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_0', 'c_Suc'( Y ), X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5186, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.95/2.29    Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5187, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y, 
% 1.95/2.29    Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5188, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, 
% 1.95/2.29    'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5189, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.95/2.29    , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.95/2.29    , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5190, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.95/2.29    , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'( 
% 1.95/2.29    'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ] )
% 1.95/2.29  , clause( 5191, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.95/2.29    , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ), 
% 1.95/2.29    =( Z, T ) ] )
% 1.95/2.29  , clause( 5192, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 
% 1.95/2.29    'c_1', Y, X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5193, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 
% 1.95/2.29    'c_1', X ), Y ) ] )
% 1.95/2.29  , clause( 5194, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.95/2.29    , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.95/2.29     ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ] )
% 1.95/2.29  , clause( 5195, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z, 
% 1.95/2.29    'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T, 
% 1.95/2.29    Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ] )
% 1.95/2.29  , clause( 5196, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 
% 1.95/2.29    'c_0', X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5197, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0', 
% 1.95/2.29    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ] )
% 1.95/2.29  , clause( 5198, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5199, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5200, [ ~( 'class_Power_Orecpower'( X ) ), ~( 
% 1.95/2.29    'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0', 
% 1.95/2.29    'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ] )
% 1.95/2.29  , clause( 5201, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 1.95/2.29    , =( X, U ) ] )
% 1.95/2.29  , clause( 5202, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 1.95/2.29    , =( Y, W ) ] )
% 1.95/2.29  , clause( 5203, [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ] )
% 1.95/2.29  , clause( 5204, [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 5205, [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ] )
% 1.95/2.29  , clause( 5206, [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ), 
% 1.95/2.29    'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ] )
% 1.95/2.29  , clause( 5207, [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 
% 1.95/2.29    'c_UNIV' ) ] )
% 1.95/2.29  , clause( 5208, [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 5209, [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 
% 1.95/2.29    'c_emptyset' ) ] )
% 1.95/2.29  , clause( 5210, [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 5211, [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5212, [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y
% 1.95/2.29    , Y ), 'c_inter'( X, Z, Y ) ) ] )
% 1.95/2.29  , clause( 5213, [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 
% 1.95/2.29    'c_emptyset' ) ] )
% 1.95/2.29  , clause( 5214, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 
% 1.95/2.29    'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 
% 1.95/2.29    'tc_prod'( T, U ) ) ] )
% 1.95/2.29  , clause( 5215, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.95/2.29     ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), 
% 1.95/2.29    Z, T ), T ) ] )
% 1.95/2.29  , clause( 5216, [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 5217, [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 
% 1.95/2.29    'c_UNIV' ) ] )
% 1.95/2.29  , clause( 5218, [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 5219, [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 
% 1.95/2.29    'c_emptyset' ) ] )
% 1.95/2.29  , clause( 5220, [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 
% 1.95/2.29    'c_Relation_OId' ) ] )
% 1.95/2.29  , clause( 5221, [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, 
% 1.95/2.29    Z ), Z, Y ), X ) ] )
% 1.95/2.29  , clause( 5222, [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y
% 1.95/2.29    , Y ), 'c_Relation_Odiag'( X, Y ) ) ] )
% 1.95/2.29  , clause( 5223, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( 
% 1.95/2.29    U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 
% 1.95/2.29    'tc_prod'( T, Z ) ) ] )
% 1.95/2.29  , clause( 5224, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.95/2.29     ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 
% 1.95/2.29    'tc_prod'( T, Z ) ) ] )
% 1.95/2.29  , clause( 5225, [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5226, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 
% 1.95/2.29    'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 1.95/2.29  , clause( 5227, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 
% 1.95/2.29    'tc_prod'( Y, Y ) ) ] )
% 1.95/2.29  , clause( 5228, [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y )
% 1.95/2.29     ) ), X ) ] )
% 1.95/2.29  , clause( 5229, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y )
% 1.95/2.29     ) ), 'c_Relation_OId' ) ] )
% 1.95/2.29  , clause( 5230, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( 
% 1.95/2.29    Z, Z ) ) ), 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 
% 1.95/2.29    'tc_prod'( Z, Z ) ) ), Z, Z, Z ) ) ] )
% 1.95/2.29  , clause( 5231, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 1.95/2.29    'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ), 
% 1.95/2.29    'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 5232, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'( 
% 1.95/2.29    'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.95/2.29     ) ) ] )
% 1.95/2.29  , clause( 5233, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.95/2.29    'c_HOL_Oabs'( 'c_1', X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5234, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.95/2.29    ~( =( 'c_0', 'c_1' ) ) ] )
% 1.95/2.29  , clause( 5235, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 
% 1.95/2.29    Y, 'c_1', X ), Y ) ] )
% 1.95/2.29  , clause( 5236, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.95/2.29    'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5237, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 1.95/2.29    'c_divide'( 'c_0', Z, X ) ) ] )
% 1.95/2.29  , clause( 5238, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.95/2.29    'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ] )
% 1.95/2.29  , clause( 5239, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 1.95/2.29    'c_divide'( Z, 'c_0', X ) ) ] )
% 1.95/2.29  , clause( 5240, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, 
% 1.95/2.29    Z, X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ] )
% 1.95/2.29  , clause( 5241, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( 
% 1.95/2.29    Z, T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ] )
% 1.95/2.29  , clause( 5242, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.95/2.29    'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5243, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ), 
% 1.95/2.29    'c_0' ) ] )
% 1.95/2.29  , clause( 5244, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ), 
% 1.95/2.29    'c_0' ) ] )
% 1.95/2.29  , clause( 5245, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ), 
% 1.95/2.29    'c_1' ) ), =( Y, Z ) ] )
% 1.95/2.29  , clause( 5246, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, 
% 1.95/2.29    'c_0', X ), 'c_1' ) ) ] )
% 1.95/2.29  , clause( 5247, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, 
% 1.95/2.29    Z, X ), 'c_1' ) ), =( Z, Y ) ] )
% 1.95/2.29  , clause( 5248, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 
% 1.95/2.29    'c_divide'( Y, Y, X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5249, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5250, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y
% 1.95/2.29    , 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5251, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.95/2.29    , X ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 1.95/2.29    'c_lessequals'( Y, Z, X ) ] )
% 1.95/2.29  , clause( 5252, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.95/2.29    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y
% 1.95/2.29    , X ), 'c_1', X ) ] )
% 1.95/2.29  , clause( 5253, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.95/2.29    , X ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 
% 1.95/2.29    'c_lessequals'( Z, Y, X ) ] )
% 1.95/2.29  , clause( 5254, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.95/2.29    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y
% 1.95/2.29    , X ), 'c_1', X ) ] )
% 1.95/2.29  , clause( 5255, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.95/2.29  , clause( 5256, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.95/2.29    , X ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 5257, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.95/2.29    , X ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 5258, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.95/2.29     ) ), ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 
% 1.95/2.29    'c_1', X ) ] )
% 1.95/2.29  , clause( 5259, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.95/2.29    , X ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 5260, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.95/2.29     ) ), ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 
% 1.95/2.29    'c_1', X ) ] )
% 1.95/2.29  , clause( 5261, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 
% 1.95/2.29    'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 5262, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( 
% 1.95/2.29    Z, X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ] )
% 1.95/2.29  , clause( 5263, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X
% 1.95/2.29     ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5264, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 
% 1.95/2.29    'c_divide'( Y, 'c_0', X ) ) ) ] )
% 1.95/2.29  , clause( 5265, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 
% 1.95/2.29    'c_divide'( Y, Z, X ) ) ), =( Z, Y ) ] )
% 1.95/2.29  , clause( 5266, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 
% 1.95/2.29    'c_1', 'c_divide'( Y, Y, X ) ) ] )
% 1.95/2.29  , clause( 5267, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' )
% 1.95/2.29    , =( 'c_times'( 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5268, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.95/2.29    'c_times'( Y, Z, X ), 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5269, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 
% 1.95/2.29    'c_0', Y, X ), 'c_times'( 'c_0', Z, X ) ) ] )
% 1.95/2.29  , clause( 5270, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.95/2.29    'c_times'( Y, Z, X ), 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' )
% 1.95/2.29     ] )
% 1.95/2.29  , clause( 5271, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 
% 1.95/2.29    Y, 'c_0', X ), 'c_times'( Z, 'c_0', X ) ) ] )
% 1.95/2.29  , clause( 5272, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 1.95/2.29    'c_divide'( Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ] )
% 1.95/2.29  , clause( 5273, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 1.95/2.29    , 'c_1' ) ), =( Y, 'c_1' ) ] )
% 1.95/2.29  , clause( 5274, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X
% 1.95/2.29     ), 'c_1' ) ] )
% 1.95/2.29  , clause( 5275, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 1.95/2.29    , 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 1.95/2.29  , clause( 5276, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 1.95/2.29    'c_HOL_Oinverse'( Y, X ), X ), Y ) ] )
% 1.95/2.29  , clause( 5277, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) )
% 1.95/2.29    , 'c_lessequals'( Y, Z, X ) ] )
% 1.95/2.29  , clause( 5278, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 
% 1.95/2.29    'c_HOL_Oinverse'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 5279, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 
% 1.95/2.29    'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) )
% 1.95/2.29    , 'c_lessequals'( Y, Z, X ) ] )
% 1.95/2.29  , clause( 5280, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 
% 1.95/2.29    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 
% 1.95/2.29    'c_HOL_Oinverse'( Y, X ), X ) ] )
% 1.95/2.29  , clause( 5281, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.95/2.29    'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 5282, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, Z, X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.29    Z, X ) ), 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.95/2.29     ) ] )
% 1.95/2.29  , clause( 5283, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z
% 1.95/2.29    , X ) ] )
% 1.95/2.29  , clause( 5284, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.95/2.29    'c_less'( Y, Z, X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 
% 1.95/2.29    'c_0', X ) ), 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X
% 1.95/2.29     ), X ) ] )
% 1.95/2.29  , clause( 5285, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 
% 1.95/2.29    'c_uminus'( Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ] )
% 1.95/2.29  , clause( 5286, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( 
% 1.95/2.29    Y, Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z
% 1.95/2.29    , X ), X ) ) ] )
% 1.95/2.29  , clause( 5287, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 
% 1.95/2.29    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.95/2.29  , clause( 5288, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.95/2.29    , X ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 5289, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5290, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5291, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.29    'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.95/2.29     )
% 1.95/2.29  , clause( 5292, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y
% 1.95/2.29    , 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ] )
% 1.95/2.29  , clause( 5293, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 1.95/2.29    , 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.95/2.29  , clause( 5294, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.29    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X
% 1.95/2.29     ), 'c_0' ) ] )
% 1.95/2.29  , clause( 5295, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.30    'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ] )
% 1.95/2.30  , clause( 5296, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.95/2.30    , X ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ] )
% 1.95/2.30  , clause( 5297, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.95/2.30    , X ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 1.95/2.30    'c_lessequals'( Z, Y, X ) ] )
% 1.95/2.30  , clause( 5298, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.95/2.30    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 
% 1.95/2.30    'c_divide'( Z, Y, X ), X ) ] )
% 1.95/2.30  , clause( 5299, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.95/2.30    , X ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 
% 1.95/2.30    'c_lessequals'( Y, Z, X ) ] )
% 1.95/2.30  , clause( 5300, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.95/2.30    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 
% 1.95/2.30    'c_divide'( Z, Y, X ), X ) ] )
% 1.95/2.30  , clause( 5301, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.95/2.30    , X ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y
% 1.95/2.30    , X ) ] )
% 1.95/2.30  , clause( 5302, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.95/2.30     ) ), ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X
% 1.95/2.30     ), X ) ] )
% 1.95/2.30  , clause( 5303, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.95/2.30    , X ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z
% 1.95/2.30    , X ) ] )
% 1.95/2.30  , clause( 5304, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.95/2.30     ) ), ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X
% 1.95/2.30     ), X ) ] )
% 1.95/2.30  , clause( 5305, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, 
% 1.95/2.30    X ), 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ] )
% 1.95/2.30  , clause( 5306, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 
% 1.95/2.30    'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ] )
% 1.95/2.30  , clause( 5307, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.95/2.30    Y, 'c_times'( Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 1.95/2.30  , clause( 5308, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.95/2.30    'c_0', 'c_times'( 'c_0', Y, X ) ) ] )
% 1.95/2.30  , clause( 5309, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.95/2.30    'c_times'( Y, 'c_1', X ) ) ] )
% 1.95/2.30  , clause( 5310, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.95/2.30    'c_times'( Y, Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 1.95/2.30  , clause( 5311, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.95/2.30    Y, 'c_times'( Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 1.95/2.30  , clause( 5312, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.95/2.30    'c_0', 'c_times'( Y, 'c_0', X ) ) ] )
% 1.95/2.30  , clause( 5313, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.95/2.30    'c_times'( 'c_1', Y, X ) ) ] )
% 1.95/2.30  , clause( 5314, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.95/2.30    'c_times'( Y, Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ] )
% 1.95/2.30  , clause( 5315, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 
% 1.95/2.30    'c_times'( 'c_0', Y, X ), X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5316, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.95/2.30    Y, 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ] )
% 1.95/2.30  , clause( 5317, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 
% 1.95/2.30    'c_0', Y, X ), 'c_0', X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5318, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.95/2.30    'c_times'( Y, Z, X ), Y, X ), Z ) ] )
% 1.95/2.30  , clause( 5319, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 
% 1.95/2.30    'c_0', Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5320, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.95/2.30    'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5321, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 
% 1.95/2.30    'c_times'( Y, 'c_0', X ), X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5322, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.95/2.30    Y, 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ] )
% 1.95/2.30  , clause( 5323, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 1.95/2.30    'c_0', X ), 'c_0', X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5324, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.95/2.30    'c_times'( Z, Y, X ), Y, X ), Z ) ] )
% 1.95/2.30  , clause( 5325, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y, 
% 1.95/2.30    'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5326, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( 
% 1.95/2.30    'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5327, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.95/2.30    , ~( =( 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5328, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 
% 1.95/2.30    'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ] )
% 1.95/2.30  , clause( 5329, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y
% 1.95/2.30    , 'c_uminus'( Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ] )
% 1.95/2.30  , clause( 5330, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.30    =( 'c_times'( 'c_0', Y, X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5331, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.95/2.30    =( 'c_times'( Y, 'c_0', X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5332, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.30    'c_lessequals'( 'c_1', 'c_0', X ) ) ] )
% 1.95/2.30  , clause( 5333, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.95/2.30    'c_less'( 'c_1', 'c_0', X ) ) ] )
% 1.95/2.30  , clause( 5334, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 
% 1.95/2.30    'c_1', Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.95/2.30  , clause( 5335, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1'
% 1.95/2.30    , 'c_0', X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5336, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z
% 1.95/2.30    , X ) ) ), =( Y, Z ) ] )
% 1.95/2.30  , clause( 5337, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.95/2.30    ~( =( 'c_1', 'c_0' ) ) ] )
% 1.95/2.30  , clause( 5338, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.30    'c_less'( 'c_0', 'c_1', X ) ] )
% 1.95/2.30  , clause( 5339, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' )
% 1.95/2.30    , =( 'c_times'( Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ] )
% 1.95/2.30  , clause( 5340, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 
% 1.95/2.30    Y, 'c_divide'( Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5341, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 
% 1.95/2.30    'c_divide'( Y, Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5342, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y, 
% 1.95/2.30    'c_0', X ), 'c_0', X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5343, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( 
% 1.95/2.30    'c_divide'( Z, Y, X ), Y, X ), Z ) ] )
% 1.95/2.30  , clause( 5344, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 
% 1.95/2.30    'c_divide'( Y, 'c_0', X ), X ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5345, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y
% 1.95/2.30    , 'c_divide'( Z, Y, X ), X ), Z ) ] )
% 1.95/2.30  , clause( 5346, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 
% 1.95/2.30    'c_divide'( 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ] )
% 1.95/2.30  , clause( 5347, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'( 
% 1.95/2.30    'c_1', 'c_0', X ) ) ] )
% 1.95/2.30  , clause( 5348, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    'c_0', 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5349, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5350, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.95/2.30    'c_lessequals'( 'c_0', 'c_1', X ) ] )
% 1.95/2.30  , clause( 5351, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', 
% 1.95/2.30    'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ] )
% 1.95/2.30  , clause( 5352, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.95/2.30    ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.95/2.30    , X ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ] )
% 1.95/2.30  , clause( 5353, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.95/2.30    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ), 
% 1.95/2.30    'c_SetInterval_OlessThan'( Y, X ) ) ] )
% 1.95/2.30  , clause( 5354, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.95/2.30    'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ), 
% 1.95/2.30    'c_SetInterval_OgreaterThan'( Y, X ) ) ] )
% 1.95/2.30  , clause( 5355, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.95/2.30    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ), 
% 1.95/2.30    'c_SetInterval_OatMost'( Y, X ) ) ] )
% 1.95/2.30  , clause( 5356, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'( 
% 1.95/2.30    'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ), 
% 1.95/2.30    'c_SetInterval_OatLeast'( Y, X ) ) ] )
% 1.95/2.30  , clause( 5357, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X
% 1.95/2.30     ) ), =( 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5358, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5359, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5360, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 1.95/2.30    , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OatLeastAtMost'( T, Z, X ), X ) ] )
% 1.95/2.30  , clause( 5361, [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.95/2.30    'c_SetInterval_OatLeastAtMost'( Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5362, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.95/2.30    , Z, X ) ), =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset'
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5363, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.95/2.30    , X ) ] )
% 1.95/2.30  , clause( 5364, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5365, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.95/2.30     ), ~( 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( T, Z, X ), X ) ] )
% 1.95/2.30  , clause( 5366, [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 
% 1.95/2.30    'tc_nat' ), 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5367, [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV'
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5368, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.95/2.30    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), 
% 1.95/2.30    =( Y, Z ) ] )
% 1.95/2.30  , clause( 5369, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 1.95/2.30  , clause( 5370, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 1.95/2.30    , X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 1.95/2.30  , clause( 5371, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 1.95/2.30    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 1.95/2.30  , clause( 5372, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.95/2.30    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 1.95/2.30    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 1.95/2.30  , clause( 5373, [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 
% 1.95/2.30    'c_0', 'c_emptyset', 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5374, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.95/2.30    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( 
% 1.95/2.30    Y, Z ) ] )
% 1.95/2.30  , clause( 5375, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.95/2.30  , clause( 5376, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 1.95/2.30    , X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 1.95/2.30  , clause( 5377, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 1.95/2.30    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.95/2.30  , clause( 5378, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.95/2.30    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 
% 1.95/2.30    'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 1.95/2.30  , clause( 5379, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( 
% 1.95/2.30    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5380, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( 
% 1.95/2.30    X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'( 
% 1.95/2.30    'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ] )
% 1.95/2.30  , clause( 5381, [ =( 'c_Finite__Set_Ocard'( 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 
% 1.95/2.30    Y, X, 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5382, [ =( 'c_Finite__Set_Ocard'( 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 1.95/2.30    'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5383, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 
% 1.95/2.30    'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ] )
% 1.95/2.30  , clause( 5384, [ =( 'c_Finite__Set_Ocard'( 
% 1.95/2.30    'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.30    'c_minus'( Y, X, 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5385, [ =( 'c_Finite__Set_Ocard'( 
% 1.95/2.30    'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 1.95/2.30    'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5386, [ =( 'c_Finite__Set_Ocard'( 
% 1.95/2.30    'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 'tc_nat' ), 
% 1.95/2.30    'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5387, [ =( 'c_Finite__Set_Ocard'( 
% 1.95/2.30    'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 1.95/2.30    'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, 'c_plus'( X, 'c_1', 
% 1.95/2.30    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ] )
% 1.95/2.30  , clause( 5388, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 
% 1.95/2.30    'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.95/2.30  , clause( 5389, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.95/2.30    , Z, X ) ), =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5390, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5391, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, 
% 1.95/2.30    T, X ) ] )
% 1.95/2.30  , clause( 5392, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.95/2.30     ), ~( 'c_lessequals'( Z, T, X ) ), 'c_in'( Z, 
% 1.95/2.30    'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ] )
% 1.95/2.30  , clause( 5393, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5394, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5395, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.95/2.30     ), ~( 'c_less'( T, Y, X ) ), 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OgreaterThanLessThan'( T, Z, X ), X ) ] )
% 1.95/2.30  , clause( 5396, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.95/2.30    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.95/2.30     ) ) ), =( Y, Z ) ] )
% 1.95/2.30  , clause( 5397, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 1.95/2.30  , clause( 5398, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.95/2.30     ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 1.95/2.30  , clause( 5399, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.95/2.30     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 1.95/2.30  , clause( 5400, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 1.95/2.30    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 1.95/2.30  , clause( 5401, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    Y, Z, X ) ), =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ), 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ), 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ] )
% 1.95/2.30  , clause( 5402, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 1.95/2.30    'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.95/2.30  , clause( 5403, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ), 
% 1.95/2.30    'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.95/2.30  , clause( 5404, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X )
% 1.95/2.30    , 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ] )
% 1.95/2.30  , clause( 5405, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    Y, Z, X ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( U, Y, X ), 
% 1.95/2.30    'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ] )
% 1.95/2.30  , clause( 5406, [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5407, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.95/2.30    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 1.95/2.30    , =( Y, Z ) ] )
% 1.95/2.30  , clause( 5408, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 1.95/2.30  , clause( 5409, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.95/2.30     ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 1.95/2.30  , clause( 5410, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 1.95/2.30    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.95/2.30  , clause( 5411, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.95/2.30    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 1.95/2.30    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 1.95/2.30  , clause( 5412, [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 
% 1.95/2.30    'c_insert'( Y, 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 
% 1.95/2.30    'tc_set'( X ) ), 'c_insert'( Y, 'c_emptyset', X ) ) ] )
% 1.95/2.30  , clause( 5413, [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( 
% 1.95/2.30    Z ) ), 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ] )
% 1.95/2.30  , clause( 5414, [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 
% 1.95/2.30    'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) )
% 1.95/2.30    , Z ) ) ] )
% 1.95/2.30  , clause( 5415, [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5416, [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 
% 1.95/2.30    'c_inter'( 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) )
% 1.95/2.30    , Z ) ) ] )
% 1.95/2.30  , clause( 5417, [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5418, [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5419, [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5420, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 1.95/2.30    'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 1.95/2.30  , clause( 5421, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 
% 1.95/2.30    'tc_set'( Z ) ), Z ) ) ] )
% 1.95/2.30  , clause( 5422, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 1.95/2.30     ) ), Z ) ] )
% 1.95/2.30  , clause( 5423, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 
% 1.95/2.30    'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 
% 1.95/2.30    'tc_set'( Y ) ) ] )
% 1.95/2.30  , clause( 5424, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 
% 1.95/2.30    'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( 
% 1.95/2.30    Z ) ), 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5425, [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( 
% 1.95/2.30    Z ) ), 'c_inter'( X, Y, Z ) ) ] )
% 1.95/2.30  , clause( 5426, [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset'
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5427, [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5428, [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5429, [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ] )
% 1.95/2.30  , clause( 5430, [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) )
% 1.95/2.30    , 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5431, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( 
% 1.95/2.30    X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5432, [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 
% 1.95/2.30    'tc_set'( Z ) ), 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ] )
% 1.95/2.30  , clause( 5433, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 
% 1.95/2.30    'c_in'( X, Y, T ) ] )
% 1.95/2.30  , clause( 5434, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 
% 1.95/2.30    'tc_set'( Z ) ), Z ) ) ] )
% 1.95/2.30  , clause( 5435, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 
% 1.95/2.30    'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 1.95/2.30  , clause( 5436, [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z )
% 1.95/2.30    , 'tc_set'( Z ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ] )
% 1.95/2.30  , clause( 5437, [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV'
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5438, [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV'
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5439, [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5440, [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ] )
% 1.95/2.30  , clause( 5441, [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ] )
% 1.95/2.30  , clause( 5442, [ =( 'c_inter'( X, X, Y ), X ) ] )
% 1.95/2.30  , clause( 5443, [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5444, [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5445, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, 
% 1.95/2.30    T ) ] )
% 1.95/2.30  , clause( 5446, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, 
% 1.95/2.30    T ) ] )
% 1.95/2.30  , clause( 5447, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X
% 1.95/2.30    , 'c_inter'( T, Y, Z ), Z ) ] )
% 1.95/2.30  , clause( 5448, [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T )
% 1.95/2.30     ) ), 'c_lessequals'( X, Y, 'tc_set'( T ) ) ] )
% 1.95/2.30  , clause( 5449, [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T )
% 1.95/2.30     ) ), 'c_lessequals'( X, Z, 'tc_set'( T ) ) ] )
% 1.95/2.30  , clause( 5450, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 1.95/2.30    'c_lessequals'( X, T, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T
% 1.95/2.30    , Y, Z ), 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5451, [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5452, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z
% 1.95/2.30     ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5453, [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 
% 1.95/2.30    'tc_set'( Y ) ), =( 'c_Inter'( X, Y ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5454, [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV'
% 1.95/2.30     ) ), =( 'c_Inter'( X, Y ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5455, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 
% 1.95/2.30    'c_Inter'( Y, Z ) ) ), =( X, 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5456, [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 
% 1.95/2.30    'tc_set'( Y ) ), =( 'c_UNIV', 'c_Inter'( X, Y ) ) ] )
% 1.95/2.30  , clause( 5457, [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV'
% 1.95/2.30     ) ), =( 'c_UNIV', 'c_Inter'( X, Y ) ) ] )
% 1.95/2.30  , clause( 5458, [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5459, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 
% 1.95/2.30    'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 1.95/2.30  , clause( 5460, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 
% 1.95/2.30    'c_Main_OInter__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5461, [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 
% 1.95/2.30    'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 1.95/2.30  , clause( 5462, [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 
% 1.95/2.30    'c_inter'( X, 'c_Inter'( Y, Z ), Z ) ) ] )
% 1.95/2.30  , clause( 5463, [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( 
% 1.95/2.30    X, Z ), 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ] )
% 1.95/2.30  , clause( 5464, [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5465, [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 
% 1.95/2.30    'c_emptyset', 'tc_set'( X ) ) ) ] )
% 1.95/2.30  , clause( 5466, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 
% 1.95/2.30    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5467, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 
% 1.95/2.30    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5468, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 1.95/2.30  , clause( 5469, [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 
% 1.95/2.30    'c_union'( X, Y, Z ) ) ] )
% 1.95/2.30  , clause( 5470, [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 
% 1.95/2.30    'c_union'( X, Y, Z ) ) ] )
% 1.95/2.30  , clause( 5471, [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5472, [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5473, [ =( 'c_union'( X, X, Y ), X ) ] )
% 1.95/2.30  , clause( 5474, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5475, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5476, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5477, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 1.95/2.30  , clause( 5478, [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ] )
% 1.95/2.30  , clause( 5479, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, 
% 1.95/2.30    T ), 'c_in'( X, Y, T ) ] )
% 1.95/2.30  , clause( 5480, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), 
% 1.95/2.30    Z ) ] )
% 1.95/2.30  , clause( 5481, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), 
% 1.95/2.30    Z ) ] )
% 1.95/2.30  , clause( 5482, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( 
% 1.95/2.30    X, 'c_union'( Y, T, Z ), Z ) ) ] )
% 1.95/2.30  , clause( 5483, [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( 
% 1.95/2.30    Y, 'c_union'( X, Z, T ), T ) ) ] )
% 1.95/2.30  , clause( 5484, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.95/2.30     ) ), 'c_lessequals'( X, T, 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5485, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.95/2.30     ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5486, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 1.95/2.30    'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.95/2.30    , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5487, [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ] )
% 1.95/2.30  , clause( 5488, [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5489, [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 
% 1.95/2.30    'c_union'( 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ] )
% 1.95/2.30  , clause( 5490, [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5491, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z
% 1.95/2.30     ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5492, [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 
% 1.95/2.30    'tc_set'( Y ) ), =( 'c_Union'( X, Y ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5493, [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 
% 1.95/2.30    'c_emptyset' ) ), =( 'c_Union'( X, Y ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5494, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 1.95/2.30    'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5495, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 1.95/2.30    'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ] )
% 1.95/2.30  , clause( 5496, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 1.95/2.30     ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 1.95/2.30  , clause( 5497, [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 
% 1.95/2.30    'c_union'( X, 'c_Union'( Y, Z ), Z ) ) ] )
% 1.95/2.30  , clause( 5498, [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), 
% 1.95/2.30    =( X, 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5499, [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y
% 1.95/2.30     ), X ) ] )
% 1.95/2.30  , clause( 5500, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X
% 1.95/2.30    , T, Z ), Z ), 'c_emptyset' ) ) ] )
% 1.95/2.30  , clause( 5501, [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 
% 1.95/2.30    'c_emptyset' ) ), =( 'c_inter'( X, Z, T ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5502, [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, 
% 1.95/2.30    X, Z ), =( 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5503, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y
% 1.95/2.30    , 'c_insert'( X, T, Z ), Z ) ) ) ] )
% 1.95/2.30  , clause( 5504, [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), 
% 1.95/2.30    T ) ) ), =( 'c_emptyset', 'c_inter'( X, Z, T ) ) ] )
% 1.95/2.30  , clause( 5505, [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, 
% 1.95/2.30    X, Z ), =( 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ] )
% 1.95/2.30  , clause( 5506, [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( 
% 1.95/2.30    Y ) ), X ) ] )
% 1.95/2.30  , clause( 5507, [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5508, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 
% 1.95/2.30    'c_Union'( Y, Z ) ) ), =( X, 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5509, [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 
% 1.95/2.30    'tc_set'( Y ) ), =( 'c_emptyset', 'c_Union'( X, Y ) ) ] )
% 1.95/2.30  , clause( 5510, [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 
% 1.95/2.30    'c_emptyset' ) ), =( 'c_emptyset', 'c_Union'( X, Y ) ) ] )
% 1.95/2.30  , clause( 5511, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 1.95/2.30  , clause( 5512, [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ] )
% 1.95/2.30  , clause( 5513, [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z
% 1.95/2.30     ), Y, 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ] )
% 1.95/2.30  , clause( 5514, [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 
% 1.95/2.30    'c_emptyset', Z ), 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ] )
% 1.95/2.30  , clause( 5515, [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( 
% 1.95/2.30    X, Y, Z ) ) ] )
% 1.95/2.30  , clause( 5516, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T
% 1.95/2.30    , Z ), Y, Z ), 'c_emptyset' ) ) ] )
% 1.95/2.30  , clause( 5517, [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 
% 1.95/2.30    'c_emptyset' ) ), =( 'c_inter'( Y, T, Z ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5518, [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, 
% 1.95/2.30    Y, Z ), =( 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5519, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 
% 1.95/2.30    'c_insert'( X, T, Z ), Y, Z ) ) ) ] )
% 1.95/2.30  , clause( 5520, [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, 
% 1.95/2.30    Z ) ) ), =( 'c_emptyset', 'c_inter'( Y, T, Z ) ) ] )
% 1.95/2.30  , clause( 5521, [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, 
% 1.95/2.30    Y, Z ), =( 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ] )
% 1.95/2.30  , clause( 5522, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 1.95/2.30    , T ), =( X, Y ) ] )
% 1.95/2.30  , clause( 5523, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 1.95/2.30  , clause( 5524, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 1.95/2.30    , Z ) ] )
% 1.95/2.30  , clause( 5525, [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z
% 1.95/2.30     ), Z ), 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ] )
% 1.95/2.30  , clause( 5526, [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ] )
% 1.95/2.30  , clause( 5527, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.95/2.30     ) ) ), 'c_in'( X, T, Z ) ] )
% 1.95/2.30  , clause( 5528, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.95/2.30     ) ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5529, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( 
% 1.95/2.30    Z ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.95/2.30  , clause( 5530, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 1.95/2.30  , clause( 5531, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 1.95/2.30    , Y ) ) ), =( Z, X ) ] )
% 1.95/2.30  , clause( 5532, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 1.95/2.30    , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( 
% 1.95/2.30    Y ) ) ] )
% 1.95/2.30  , clause( 5533, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 1.95/2.30    'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 1.95/2.30    , Z ) ) ] )
% 1.95/2.30  , clause( 5534, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 1.95/2.30    , Z ) ) ), =( X, T ) ] )
% 1.95/2.30  , clause( 5535, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 1.95/2.30    , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( 
% 1.95/2.30    Z ) ) ] )
% 1.95/2.30  , clause( 5536, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 1.95/2.30    'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 1.95/2.30    , Z ) ) ] )
% 1.95/2.30  , clause( 5537, [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ] )
% 1.95/2.30  , clause( 5538, [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), 
% 1.95/2.30    =( X, 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5539, [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X )
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5540, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 1.95/2.30    T, Y, Z ) ) ), =( X, T ) ] )
% 1.95/2.30  , clause( 5541, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 1.95/2.30    T, Z, Y ) ) ) ] )
% 1.95/2.30  , clause( 5542, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 1.95/2.30    T, Y, Z ) ) ), =( X, T ) ] )
% 1.95/2.30  , clause( 5543, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 1.95/2.30    T, Z, Y ) ) ) ] )
% 1.95/2.30  , clause( 5544, [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 
% 1.95/2.30    'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5545, [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( 
% 1.95/2.30    X, Y ), Y, Y ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5546, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( 
% 1.95/2.30    X, Y ), Y, Y ), 'c_UNIV' ) ] )
% 1.95/2.30  , clause( 5547, [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 1.95/2.30    'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'( 
% 1.95/2.30    X, Y ) ) ] )
% 1.95/2.30  , clause( 5548, [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ), 
% 1.95/2.30    'c_Relation_OId' ) ] )
% 1.95/2.30  , clause( 5549, [ =( 'c_Transitive__Closure_Ortrancl'( 
% 1.95/2.30    'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), 
% 1.95/2.30    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.95/2.30  , clause( 5550, [ =( 'c_Relation_Orel__comp'( 
% 1.95/2.30    'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 1.95/2.30    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ), 
% 1.95/2.30    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.95/2.30  , clause( 5551, [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 
% 1.95/2.30    'c_Relation_OId', 'tc_prod'( Y, Y ) ), Y ), 
% 1.95/2.30    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.95/2.30  , clause( 5552, [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( 
% 1.95/2.30    X, Y ), Y, Y ), 'c_Relation_ODomain'( X, Y, Y ) ) ] )
% 1.95/2.30  , clause( 5553, [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 
% 1.95/2.30    'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5554, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( 
% 1.95/2.30    X, Y ), Y, Y ), 'c_Relation_ORange'( X, Y, Y ) ) ] )
% 1.95/2.30  , clause( 5555, [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 
% 1.95/2.30    'c_Relation_OId', 'tc_prod'( Y, Y ) ), Y ), 
% 1.95/2.30    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.95/2.30  , clause( 5556, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 
% 1.95/2.30    'c_Relation_Oconverse'( X, Y, Y ), Y ) ), 
% 1.95/2.30    'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 1.95/2.30  , clause( 5557, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.95/2.30    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5558, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 1.95/2.30    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 1.95/2.30    'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 1.95/2.30  , clause( 5559, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 1.95/2.30    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 1.95/2.30    'tc_prod'( Z, Z ) ) ) ] )
% 1.95/2.30  , clause( 5560, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.95/2.30    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 1.95/2.30    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.95/2.30    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 1.95/2.30  , clause( 5561, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 1.95/2.30    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 1.95/2.30    'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 1.95/2.30  , clause( 5562, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 1.95/2.30    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 1.95/2.30    , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5563, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.95/2.30    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 1.95/2.30    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.95/2.30    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 1.95/2.30  , clause( 5564, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Pair'( Z, Z, Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ] )
% 1.95/2.30  , clause( 5565, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 1.95/2.30    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.95/2.30     ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 1.95/2.30  , clause( 5566, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 
% 1.95/2.30    'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 
% 1.95/2.30    'tc_nat', 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5567, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.95/2.30    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5568, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5569, [ ~( =( 'c_Message_Oagent_OServer', 
% 1.95/2.30    'c_Message_Oagent_OFriend'( X ) ) ) ] )
% 1.95/2.30  , clause( 5570, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 1.95/2.30    'c_Message_Oagent_OServer' ) ) ] )
% 1.95/2.30  , clause( 5571, [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OSpy'
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5572, [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OServer'
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5573, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 1.95/2.30    'c_Message_Oagent_OSpy' ) ) ] )
% 1.95/2.30  , clause( 5574, [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OFriend'( 
% 1.95/2.30    X ) ) ) ] )
% 1.95/2.30  , clause( 5575, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 1.95/2.30    'c_Message_Oagent_OFriend'( Y ) ) ), =( X, Y ) ] )
% 1.95/2.30  , clause( 5576, [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OServer', 
% 1.95/2.30    'tc_Message_Oagent' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5577, [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OFriend'( X ), 
% 1.95/2.30    'tc_Message_Oagent' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5578, [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OSpy', 
% 1.95/2.30    'tc_Message_Oagent' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5579, [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5580, [ ~( =( 'c_Message_OinvKey'( X ), 'c_Message_OinvKey'( Y )
% 1.95/2.30     ) ), =( X, Y ) ] )
% 1.95/2.30  , clause( 5581, [ =( 'c_Message_OkeysFor'( 'c_union'( X, Y, 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_OkeysFor'( X ), 
% 1.95/2.30    'c_Message_OkeysFor'( Y ), 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5582, [ =( 'c_Message_OkeysFor'( 'c_emptyset' ), 'c_emptyset' ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5583, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_Message_OkeysFor'( Y ) ) ] )
% 1.95/2.30  , clause( 5584, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_OinvKey'( X ), 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5585, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OHash'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_Message_OkeysFor'( Y ) ) ] )
% 1.95/2.30  , clause( 5586, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_Message_OkeysFor'( Y ) ) ] )
% 1.95/2.30  , clause( 5587, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_Message_OkeysFor'( Z ) ) ] )
% 1.95/2.30  , clause( 5588, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_Message_OkeysFor'( Y ) ) ] )
% 1.95/2.30  , clause( 5589, [ =( 'c_Message_OkeysFor'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONumber'( X ), Y, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_Message_OkeysFor'( Y ) ) ] )
% 1.95/2.30  , clause( 5590, [ ~( =( 'c_Message_Omsg_OAgent'( X ), 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Y ) ) ), =( X, Y ) ] )
% 1.95/2.30  , clause( 5591, [ ~( =( 'c_Message_Omsg_ONumber'( X ), 
% 1.95/2.30    'c_Message_Omsg_ONumber'( Y ) ) ), =( X, Y ) ] )
% 1.95/2.30  , clause( 5592, [ ~( =( 'c_Message_Omsg_ONonce'( X ), 
% 1.95/2.30    'c_Message_Omsg_ONonce'( Y ) ) ), =( X, Y ) ] )
% 1.95/2.30  , clause( 5593, [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( 
% 1.95/2.30    Y ) ) ), =( X, Y ) ] )
% 1.95/2.30  , clause( 5594, [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_Omsg_OHash'( 
% 1.95/2.30    Y ) ) ), =( X, Y ) ] )
% 1.95/2.30  , clause( 5595, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( X, Z ) ] )
% 1.95/2.30  , clause( 5596, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( Y, T ) ] )
% 1.95/2.30  , clause( 5597, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( X, Z ) ] )
% 1.95/2.30  , clause( 5598, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( Y, T ) ] )
% 1.95/2.30  , clause( 5599, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OAgent'( X ), 
% 1.95/2.30    'tc_Message_Omsg' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5600, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONumber'( X ), 
% 1.95/2.30    'tc_Message_Omsg' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5601, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONonce'( X ), 
% 1.95/2.30    'tc_Message_Omsg' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5602, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OKey'( X ), 
% 1.95/2.30    'tc_Message_Omsg' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5603, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OHash'( X ), 
% 1.95/2.30    'tc_Message_Omsg' ), 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 
% 1.95/2.30    'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5604, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'tc_Message_Omsg' ), 'c_plus'( 'c_plus'( 'c_Nat_Osize'( X, 
% 1.95/2.30    'tc_Message_Omsg' ), 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'tc_nat' ), 
% 1.95/2.30    'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5605, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.95/2.30    'tc_Message_Omsg' ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 
% 1.95/2.30    'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5606, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5607, [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg'
% 1.95/2.30     ) ), 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5608, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ), 
% 1.95/2.30    'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5609, [ =( 'c_Message_Oparts'( 'c_emptyset' ), 'c_emptyset' ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5610, [ =( 'c_union'( X, 'c_union'( Y, X, Z ), Z ), 'c_union'( Y
% 1.95/2.30    , X, Z ) ) ] )
% 1.95/2.30  , clause( 5611, [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad', 
% 1.95/2.30    'tc_Message_Oagent' ) ) ] )
% 1.95/2.30  , clause( 5612, [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad', 
% 1.95/2.30    'tc_Message_Oagent' ) ] )
% 1.95/2.30  , clause( 5613, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 1.95/2.30    'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5614, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 1.95/2.30    'c_Event_Oevent_OGets'( T, U ) ) ) ] )
% 1.95/2.30  , clause( 5615, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 1.95/2.30    'c_Event_Oevent_OSays'( Z, T, U ) ) ) ] )
% 1.95/2.30  , clause( 5616, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 1.95/2.30    'c_Event_Oevent_ONotes'( T, U ) ) ) ] )
% 1.95/2.30  , clause( 5617, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 1.95/2.30    'c_Event_Oevent_OSays'( Z, T, U ) ) ) ] )
% 1.95/2.30  , clause( 5618, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 1.95/2.30    'c_Event_Oevent_ONotes'( Z, T ) ) ) ] )
% 1.95/2.30  , clause( 5619, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 1.95/2.30    'c_Event_Oevent_OGets'( Z, T ) ) ) ] )
% 1.95/2.30  , clause( 5620, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 1.95/2.30    'c_Event_Oevent_OSays'( T, U, W ) ) ), =( X, T ) ] )
% 1.95/2.30  , clause( 5621, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 1.95/2.30    'c_Event_Oevent_OSays'( T, U, W ) ) ), =( Y, U ) ] )
% 1.95/2.30  , clause( 5622, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 1.95/2.30    'c_Event_Oevent_OSays'( T, U, W ) ) ), =( Z, W ) ] )
% 1.95/2.30  , clause( 5623, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 1.95/2.30    'c_Event_Oevent_OGets'( Z, T ) ) ), =( X, Z ) ] )
% 1.95/2.30  , clause( 5624, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 1.95/2.30    'c_Event_Oevent_OGets'( Z, T ) ) ), =( Y, T ) ] )
% 1.95/2.30  , clause( 5625, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 1.95/2.30    'c_Event_Oevent_ONotes'( Z, T ) ) ), =( X, Z ) ] )
% 1.95/2.30  , clause( 5626, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 1.95/2.30    'c_Event_Oevent_ONotes'( Z, T ) ) ), =( Y, T ) ] )
% 1.95/2.30  , clause( 5627, [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 1.95/2.30    'tc_Event_Oevent' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5628, [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OGets'( X, Y ), 
% 1.95/2.30    'tc_Event_Oevent' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5629, [ =( 'c_Nat_Osize'( 'c_Event_Oevent_ONotes'( X, Y ), 
% 1.95/2.30    'tc_Event_Oevent' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5630, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y
% 1.95/2.30     ) ), 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), 
% 1.95/2.30    'c_in'( 'c_Message_Omsg_OKey'( 'v_sko__uhi'( Y, X ) ), Y, 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5631, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y
% 1.95/2.30     ) ), 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), =( 
% 1.95/2.30    X, 'c_Message_OinvKey'( 'v_sko__uhi'( Y, X ) ) ) ] )
% 1.95/2.30  , clause( 5632, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ) ), 
% 1.95/2.30    'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5633, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_OinvKey'( X ), 
% 1.95/2.30    'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ] )
% 1.95/2.30  , clause( 5634, [ =( 'c_Event_Oknows'( X, 'c_List_Olist_ONil' ), 
% 1.95/2.30    'c_Event_OinitState'( X ) ) ] )
% 1.95/2.30  , clause( 5635, [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 
% 1.95/2.30    'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( X, Y ), Z, 
% 1.95/2.30    'tc_Event_Oevent' ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5636, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 1.95/2.30    =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_insert'( Y
% 1.95/2.30    , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5637, [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), =( 
% 1.95/2.30    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 
% 1.95/2.30    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ] )
% 1.95/2.30  , clause( 5638, [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 
% 1.95/2.30    'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( X, Y, Z ), T, 
% 1.95/2.30    'tc_Event_Oevent' ) ), 'c_insert'( Z, 'c_Event_Oknows'( 
% 1.95/2.30    'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5639, [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_OGets'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oused'( 
% 1.95/2.30    Z ) ) ] )
% 1.95/2.30  , clause( 5640, [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_union'( 
% 1.95/2.30    'c_Message_Oparts'( 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5641, [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( X, Y, Z ), T, 'tc_Event_Oevent' ) ), 'c_union'( 
% 1.95/2.30    'c_Message_Oparts'( 'c_insert'( Z, 'c_emptyset', 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_Event_Oused'( T ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5642, [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'( 
% 1.95/2.30    Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5643, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.95/2.30    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.95/2.30    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5644, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.95/2.30    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5645, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.95/2.30    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5646, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y )
% 1.95/2.30     ), 'tc_Message_Omsg' ) ), =( 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.95/2.30    'c_insert'( X, Y, 'tc_Message_Omsg' ) ) ), 'c_Message_Osynth'( 
% 1.95/2.30    'c_Message_Oanalz'( Y ) ) ) ] )
% 1.95/2.30  , clause( 5647, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, 
% 1.95/2.30    T ) ) ), =( X, Z ) ] )
% 1.95/2.30  , clause( 5648, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, 
% 1.95/2.30    T ) ) ), =( Y, T ) ] )
% 1.95/2.30  , clause( 5649, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    Z, T ) ) ), =( Z, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y )
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5650, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    Z, T ) ) ), =( T, Y ) ] )
% 1.95/2.30  , clause( 5651, [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ] )
% 1.95/2.30  , clause( 5652, [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( Y
% 1.95/2.30    , Z ) ) ) ] )
% 1.95/2.30  , clause( 5653, [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( Y
% 1.95/2.30    , Z ) ) ) ] )
% 1.95/2.30  , clause( 5654, [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'( 
% 1.95/2.30    Y, Z ) ) ) ] )
% 1.95/2.30  , clause( 5655, [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y, 
% 1.95/2.30    Z ) ) ) ] )
% 1.95/2.30  , clause( 5656, [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y
% 1.95/2.30    , Z ) ) ) ] )
% 1.95/2.30  , clause( 5657, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_OHPair'( 
% 1.95/2.30    Z, T ) ) ) ] )
% 1.95/2.30  , clause( 5658, [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'( 
% 1.95/2.30    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.95/2.30    'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.95/2.30    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5659, [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'( 
% 1.95/2.30    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.95/2.30    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 
% 1.95/2.30    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5660, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y )
% 1.95/2.30     ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( Z, X ) ), 'c_Message_Oanalz'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.95/2.30    Y ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_OHPair'( Z, X ), 
% 1.95/2.30    'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5661, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OAgent'( 
% 1.95/2.30    Z ) ) ) ] )
% 1.95/2.30  , clause( 5662, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OCrypt'( 
% 1.95/2.30    Z, T ) ) ) ] )
% 1.95/2.30  , clause( 5663, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'( 
% 1.95/2.30    Z ) ) ) ] )
% 1.95/2.30  , clause( 5664, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'( 
% 1.95/2.30    Z ) ) ) ] )
% 1.95/2.30  , clause( 5665, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONonce'( 
% 1.95/2.30    Z ) ) ) ] )
% 1.95/2.30  , clause( 5666, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 1.95/2.30    'c_Message_Omsg_ONumber'( Z ) ) ) ] )
% 1.95/2.30  , clause( 5667, [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ), 
% 1.95/2.30    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OHash'( X ), Y, 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5668, [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.95/2.30    Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 
% 1.95/2.30    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.95/2.30    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5669, [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Oanalz'( Z ), 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.95/2.30    Z ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.95/2.30    Z ) ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5670, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( 
% 1.95/2.30    Y ), 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5671, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), 
% 1.95/2.30    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5672, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.95/2.30    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5673, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5674, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( 
% 1.95/2.30    Z, T ) ) ), =( X, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( Z, T )
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5675, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( 
% 1.95/2.30    Z, T ) ) ), =( Y, T ) ] )
% 1.95/2.30  , clause( 5676, [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ] )
% 1.95/2.30  , clause( 5677, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.95/2.30    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5678, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5679, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5680, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_in'( Y, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5681, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y )
% 1.95/2.30     ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( 
% 1.95/2.30    'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.95/2.30    Y ) ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5682, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 
% 1.95/2.30    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5683, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( X ), 
% 1.95/2.30    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5684, [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Osynth'( 
% 1.95/2.30    Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5685, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.95/2.30    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z
% 1.95/2.30     ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5686, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5687, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X
% 1.95/2.30     ) ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), =( 
% 1.95/2.30    'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 
% 1.95/2.30    'c_Message_Oanalz'( 'c_insert'( Z, Y, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5688, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) )
% 1.95/2.30    , 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), =( 'c_Message_Oanalz'( 
% 1.95/2.30    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5689, [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y )
% 1.95/2.30     ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5690, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X )
% 1.95/2.30    , Y, 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 1.95/2.30    'tc_Message_Omsg' ) ) ) ] )
% 1.95/2.30  , clause( 5691, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5692, [ =( 'c_Message_Oanalz'( 'c_emptyset' ), 'c_emptyset' ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5693, [ =( 'c_Message_Oanalz'( 'c_Message_Oanalz'( X ) ), 
% 1.95/2.30    'c_Message_Oanalz'( X ) ) ] )
% 1.95/2.30  , clause( 5694, [ =( 'c_Message_Oanalz'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5695, [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_OHPair'( X
% 1.95/2.30    , Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 
% 1.95/2.30    'c_insert'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.95/2.30    'c_Message_Oanalz'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5696, [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OHash'( 
% 1.95/2.30    X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ), 
% 1.95/2.30    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5697, [ 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oanalz'( Y )
% 1.95/2.30     ), 'tc_nat' ), =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OKey'( 
% 1.95/2.30    X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 1.95/2.30    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5698, [ =( 'c_Message_Oanalz'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( 'c_insert'( X, 
% 1.95/2.30    'c_insert'( Y, Z, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5699, [ =( 'c_Message_Oanalz'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5700, [ =( 'c_Message_Oanalz'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONumber'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONumber'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5701, [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ), 
% 1.95/2.30    'c_Message_Oparts'( X ) ) ] )
% 1.95/2.30  , clause( 5702, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ), 
% 1.95/2.30    'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 1.95/2.30    'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5703, [ ~( 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'( 
% 1.95/2.30    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oanalz'( X ), 
% 1.95/2.30    'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5704, [ =( 'c_Message_Oanalz'( 'c_Message_Osynth'( X ) ), 
% 1.95/2.30    'c_union'( 'c_Message_Oanalz'( X ), 'c_Message_Osynth'( X ), 
% 1.95/2.30    'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5705, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X )
% 1.95/2.30    , Y, 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, 
% 1.95/2.30    Y, 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5706, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z, 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5707, [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_OHPair'( 
% 1.95/2.30    X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ] )
% 1.95/2.30  , clause( 5708, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 
% 1.95/2.30    'c_Message_Oparts'( X ) ) ] )
% 1.95/2.30  , clause( 5709, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ), =( 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_Message_Oparts'( Y ) ) ] )
% 1.95/2.30  , clause( 5710, [ =( 'c_Message_Oparts'( 'c_Message_Oparts'( X ) ), 
% 1.95/2.30    'c_Message_Oparts'( X ) ) ] )
% 1.95/2.30  , clause( 5711, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5712, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( 'c_insert'( Y, Z, 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5713, [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_OHPair'( X
% 1.95/2.30    , Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 
% 1.95/2.30    'c_insert'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 1.95/2.30    'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5714, [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OHash'( 
% 1.95/2.30    X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ), 
% 1.95/2.30    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5715, [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OKey'( 
% 1.95/2.30    X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ), 
% 1.95/2.30    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5716, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( 'c_insert'( X, 
% 1.95/2.30    'c_insert'( Y, Z, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5717, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5718, [ =( 'c_Message_Oparts'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONumber'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_ONumber'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ) ] )
% 1.95/2.30  , clause( 5719, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y )
% 1.95/2.30     ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5720, [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 
% 1.95/2.30    'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 1.95/2.30    'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5721, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 
% 1.95/2.30    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ), 
% 1.95/2.30    'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5722, [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ), 
% 1.95/2.30    'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ), 
% 1.95/2.30    'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5723, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5724, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ), 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5725, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.95/2.30    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5726, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 1.95/2.30     ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5727, [ ~( 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 1.95/2.30    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 1.95/2.30    'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5728, [ ~( 'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'( 
% 1.95/2.30    'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 1.95/2.30    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5729, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y )
% 1.95/2.30     ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5730, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.95/2.30    'c_Event_Oused'( 'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5731, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Oused'( 
% 1.95/2.30    Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5732, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 1.95/2.30    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Oused'( 
% 1.95/2.30    Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5733, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 
% 1.95/2.30    'c_Message_Oparts'( 'c_Event_OinitState'( Y ) ), 'tc_Message_Omsg' ) ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5734, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'( 
% 1.95/2.30    'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ] )
% 1.95/2.30  , clause( 5735, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 1.95/2.30    'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( 
% 1.95/2.30    Y, X ) ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5736, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 1.95/2.30    'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'( 
% 1.95/2.30    'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5737, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, 
% 1.95/2.30    Y ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z )
% 1.95/2.30     ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5738, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), =( 
% 1.95/2.30    'c_Message_OinvKey'( X ), X ) ] )
% 1.95/2.30  , clause( 5739, [ =( 'c_Message_OinvKey'( 'c_Public_OshrK'( X ) ), 
% 1.95/2.30    'c_Public_OshrK'( X ) ) ] )
% 1.95/2.30  , clause( 5740, [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 1.95/2.30    'c_Public_Okeymode_OSignature', Z ), X ) ] )
% 1.95/2.30  , clause( 5741, [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y, 
% 1.95/2.30    'c_Public_Okeymode_OEncryption', Z ), Y ) ] )
% 1.95/2.30  , clause( 5742, [ ~( =( 'c_Public_Okeymode_OSignature', 
% 1.95/2.30    'c_Public_Okeymode_OEncryption' ) ) ] )
% 1.95/2.30  , clause( 5743, [ ~( =( 'c_Public_Okeymode_OEncryption', 
% 1.95/2.30    'c_Public_Okeymode_OSignature' ) ) ] )
% 1.95/2.30  , clause( 5744, [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 1.95/2.30    'c_Public_Okeymode_OSignature', Z ), X ) ] )
% 1.95/2.30  , clause( 5745, [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y, 
% 1.95/2.30    'c_Public_Okeymode_OEncryption', Z ), Y ) ] )
% 1.95/2.30  , clause( 5746, [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OSignature', 
% 1.95/2.30    'tc_Public_Okeymode' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5747, [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OEncryption', 
% 1.95/2.30    'tc_Public_Okeymode' ), 'c_0' ) ] )
% 1.95/2.30  , clause( 5748, [ =( 'c_Message_OkeysFor'( 'c_Message_Oparts'( 
% 1.95/2.30    'c_Event_OinitState'( X ) ) ), 'c_emptyset' ) ] )
% 1.95/2.30  , clause( 5749, [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X
% 1.95/2.30    , Y ) ), 'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5750, [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ), 
% 1.95/2.30    'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 1.95/2.30  , clause( 5751, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( 
% 1.95/2.30    'c_Public_Okeymode_OEncryption', X ) ), 'c_Public_OshrK'( Y ) ) ) ] )
% 1.95/2.30  , clause( 5752, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.95/2.30    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_OinitState'( Y ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5753, [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'( 
% 1.95/2.30    'c_Public_OpublicKey'( Y, Z ) ) ) ) ] )
% 1.95/2.30  , clause( 5754, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y )
% 1.95/2.30     ), 'c_Public_OpublicKey'( Z, T ) ) ) ] )
% 1.95/2.30  , clause( 5755, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.95/2.30    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_Oused'( Z ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5756, [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z
% 1.95/2.30     ) ) ) ] )
% 1.95/2.30  , clause( 5757, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, 
% 1.95/2.30    Y ) ), 'c_Event_OinitState'( Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5758, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 
% 1.95/2.30    'c_Public_OpublicKey'( Z, T ) ) ), =( X, Z ) ] )
% 1.95/2.30  , clause( 5759, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 
% 1.95/2.30    'c_Public_OpublicKey'( Z, T ) ) ), =( Y, T ) ] )
% 1.95/2.30  , clause( 5760, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, 
% 1.95/2.30    Y ) ), 'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5761, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'( 
% 1.95/2.30    'c_Public_OpublicKey'( Z, T ) ) ) ) ] )
% 1.95/2.30  , clause( 5762, [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys', 
% 1.95/2.30    'tc_nat' ) ] )
% 1.95/2.30  , clause( 5763, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.95/2.30    'c_Event_OinitState'( X ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5764, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.95/2.30    'c_Event_Oknows'( X, Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5765, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.95/2.30    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5766, [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ), 
% 1.95/2.30    =( X, Y ) ] )
% 1.95/2.30  , clause( 5767, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y )
% 1.95/2.30     ), 'c_Public_OshrK'( Z ) ) ) ] )
% 1.95/2.30  , clause( 5768, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OshrK'( Z
% 1.95/2.30     ) ) ) ] )
% 1.95/2.30  , clause( 5769, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, 
% 1.95/2.30    Y ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg'
% 1.95/2.30     ) ] )
% 1.95/2.30  , clause( 5770, [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys'
% 1.95/2.30    , 'tc_nat' ) ), 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 1.95/2.30  , clause( 5771, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'( 
% 1.95/2.30    'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 1.95/2.30  , clause( 5772, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 1.95/2.30    'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 1.95/2.30    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5773, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( Y, Z, 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_in'( X, 'c_union'( 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 1.95/2.30    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5774, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 1.95/2.30    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.95/2.30    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5775, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 
% 1.95/2.30    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 1.95/2.30    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5776, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 
% 1.95/2.30    'c_Public_OshrK'( Y ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 
% 1.95/2.30    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.95/2.30    'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 1.95/2.30  , clause( 5777, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 1.95/2.30    ~( 'c_in'( Y, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 1.95/2.30     ) ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.95/2.30    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5778, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 
% 1.95/2.30    'c_Public_OshrK'( Y ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 1.95/2.30    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.95/2.30    'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 1.95/2.30  , clause( 5779, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 1.95/2.30    ~( 'c_in'( Y, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 1.95/2.30     ) ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.95/2.30    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5780, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 1.95/2.30    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 1.95/2.30    Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'( 
% 1.95/2.30    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 1.95/2.30    'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'( 
% 1.95/2.30    'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 1.95/2.30    Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.95/2.30  , clause( 5781, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 
% 1.95/2.30    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( 'v_sko__wPE'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 1.95/2.30    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.95/2.30  , clause( 5782, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_OGets'( Z, T ), U, 'tc_Event_Oevent' ) ) ), 
% 1.95/2.30    'c_Yahalom_OKeyWithNonce'( X, Y, U ) ] )
% 1.95/2.30  , clause( 5783, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 
% 1.95/2.30    'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_OGets'( T, U ), Z, 'tc_Event_Oevent' ) ) ] )
% 1.95/2.30  , clause( 5784, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_ONotes'( Z, T ), U, 'tc_Event_Oevent' ) ) ), 
% 1.95/2.30    'c_Yahalom_OKeyWithNonce'( X, Y, U ) ] )
% 1.95/2.30  , clause( 5785, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 
% 1.95/2.30    'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_ONotes'( T, U ), Z, 'tc_Event_Oevent' ) ) ] )
% 1.95/2.30  , clause( 5786, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ), 
% 1.95/2.30    'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( 'c_Message_Oagent_OServer', Z )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5787, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ), 
% 1.95/2.30    'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( U, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( 'v_sko__2VZ'( T, X, Y, U ) ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'v_sko__2Va'( T, X, Y, U ), 
% 1.95/2.30    'c_Message_Omsg_ONonce'( Y ) ) ) ) ), 'v_sko__2Vb'( T, X, Y, U ) ) ) ] )
% 1.95/2.30  , clause( 5788, [ 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Z, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_ONonce'( Y ) ) ) ) ), W ) ), 
% 1.95/2.30    V0, 'tc_Event_Oevent' ) ) ] )
% 1.95/2.30  , clause( 5789, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 
% 1.95/2.30    'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( T, U, W ), Z, 'tc_Event_Oevent' ) ) ] )
% 1.95/2.30  , clause( 5790, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( T ) ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 'tc_Event_Oevent' ), 
% 1.95/2.30    'tc_Event_Oevent' ) ) ] )
% 1.95/2.30  , clause( 5791, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'( 
% 1.95/2.30    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), ~( 
% 1.95/2.30    'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( Y, 
% 1.95/2.30    'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 1.95/2.30     )
% 1.95/2.30  , clause( 5792, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 1.95/2.30    'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 1.95/2.30    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5793, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X )
% 1.95/2.30    , Y ), 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Message_Oanalz'( Z ), 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5794, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( T, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OGets'( 'c_Message_Oagent_OServer', 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ), 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ) ), 
% 1.95/2.30    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.95/2.30  , clause( 5795, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 1.95/2.30     ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ), 
% 1.95/2.30    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3, 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0, 
% 1.95/2.30    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.95/2.30    'tc_Message_Omsg' ), =( W, V6 ) ] )
% 1.95/2.30  , clause( 5796, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 1.95/2.30     ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ), 
% 1.95/2.30    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3, 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0, 
% 1.95/2.30    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.95/2.30    'tc_Message_Omsg' ), =( U, V5 ) ] )
% 1.95/2.30  , clause( 5797, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T
% 1.95/2.30     ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( W ), V0 ) ) ) ) ), 
% 1.95/2.30    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( V1, V2, 'c_Message_Omsg_OMPair'( V3, 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V4 ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( V5 ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( V6 ), V0 ) ) ) ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( V0, 
% 1.95/2.30    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.95/2.30    'tc_Message_Omsg' ), =( T, V4 ) ] )
% 1.95/2.30  , clause( 5798, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 
% 1.95/2.30    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 
% 1.95/2.30    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Z, 
% 1.95/2.30    'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( Y, 'c_Event_Obad', 
% 1.95/2.30    'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_ONotes'( 
% 1.95/2.30    'c_Message_Oagent_OSpy', 'c_Message_Omsg_OMPair'( U, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( W, 'c_Message_Omsg_OKey'( T ) ) ) ), 
% 1.95/2.30    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.95/2.30  , clause( 5799, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 1.95/2.30    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 1.95/2.30    Z ), 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_ONonce'( U ) ) ) ), 
% 1.95/2.30    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 1.95/2.30    'c_Public_OshrK'( W ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 
% 1.95/2.30    V0 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( U ), V1 ) ) ), 
% 1.95/2.30    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( U ), 
% 1.95/2.30    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.95/2.30    'tc_Message_Omsg' ) ] )
% 1.95/2.30  , clause( 5800, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, 
% 1.95/2.30    'c_Message_Omsg_ONonce'( W ) ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( V1 ), 'c_Message_Oanalz'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X
% 1.95/2.30     ), 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( V1 ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 
% 1.95/2.30    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ), =( V1, W ), =( T, 
% 1.95/2.30    'c_Public_OshrK'( 'v_sko__2VY'( T ) ) ) ] )
% 1.95/2.30  , clause( 5801, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, 
% 1.95/2.30    'c_Message_Omsg_ONonce'( W ) ) ) ) ), V0 ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( V1 ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 
% 1.95/2.30    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.95/2.30    'c_Message_Omsg_ONonce'( V1 ), 'c_Message_Oanalz'( 'c_insert'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X
% 1.95/2.30     ), 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), =( V1, W ), =( T, 
% 1.95/2.30    'c_Public_OshrK'( 'v_sko__2VY'( T ) ) ) ] )
% 1.95/2.30  , clause( 5802, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 1.95/2.30    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.95/2.30    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V1, Y ) ] )
% 1.95/2.30  , clause( 5803, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 1.95/2.30    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.95/2.30    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V2, Z ) ] )
% 1.95/2.30  , clause( 5804, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 1.95/2.30    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.95/2.30    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V3, U ) ] )
% 1.95/2.30  , clause( 5805, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 1.95/2.30    , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'( 
% 1.95/2.30    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1, 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.95/2.30    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X, 
% 1.95/2.30    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V4, W ) ] )
% 1.95/2.30  , clause( 5806, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5807, [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 1.95/2.30     ] )
% 1.95/2.30  , clause( 5808, [ ~( =( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), ~( =( 'v_NA'
% 1.95/2.30    , 'v_NAa' ) ), ~( =( 'v_NB', 'v_NBa' ) ) ] )
% 1.95/2.30  , clause( 5809, [ 'c_in'( 'v_evso', 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 
% 1.95/2.30    'tc_Event_Oevent' ) ) ] )
% 1.95/2.30  , clause( 5810, [ 'c_in'( 'c_Event_Oevent_OSays'( 
% 1.95/2.30    'c_Message_Oagent_OServer', 'v_Aa', 'c_Message_Omsg_OMPair'( 
% 1.95/2.30    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ), 
% 1.95/2.30    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 
% 1.95/2.32    'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'( 
% 1.95/2.32    'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.95/2.32  , clause( 5811, [ ~( 'c_in'( 'c_Event_Oevent_ONotes'( 
% 1.95/2.32    'c_Message_Oagent_OSpy', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 
% 1.95/2.32    'v_NA' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), X )
% 1.95/2.32     ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) )
% 1.95/2.32     ] )
% 1.95/2.32  , clause( 5812, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 
% 1.95/2.32    'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 
% 1.95/2.32    'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OCrypt'( 
% 1.95/2.32    'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.32    'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'( 
% 1.95/2.32    'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_ONonce'( 'v_NB' ) ) )
% 1.95/2.32     ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 1.95/2.32     ] )
% 1.95/2.32  , clause( 5813, [ 'c_in'( 'c_Event_Oevent_ONotes'( 'c_Message_Oagent_OSpy'
% 1.95/2.32    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 1.95/2.32    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 'v_k' ) ) ), 
% 1.95/2.32    'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.95/2.32  , clause( 5814, [ 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 1.95/2.32    'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OKey'( 'v_K' ), 
% 1.95/2.32    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ), 'tc_Message_Omsg'
% 1.95/2.32     ) ), 'tc_Message_Omsg' ) ] )
% 1.95/2.32  ] ).
% 1.95/2.32  
% 1.95/2.32  
% 1.95/2.32  
% 1.95/2.32  subsumption(
% 1.95/2.32  clause( 2836, [ ~( 'c_in'( 'c_Event_Oevent_ONotes'( 'c_Message_Oagent_OSpy'
% 1.95/2.32    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 1.95/2.32    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), X ) ) ), 
% 1.95/2.32    'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 1.95/2.32  , clause( 5811, [ ~( 'c_in'( 'c_Event_Oevent_ONotes'( 
% 1.95/2.32    'c_Message_Oagent_OSpy', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 
% 1.95/2.32    'v_NA' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), X )
% 1.95/2.32     ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) )
% 1.95/2.32     ] )
% 1.95/2.32  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.95/2.32  
% 1.95/2.32  
% 1.95/2.32  resolution(
% 1.95/2.32  clause( 9354, [] )
% 1.95/2.32  , clause( 2836, [ ~( 'c_in'( 'c_Event_Oevent_ONotes'( 
% 1.95/2.32    'c_Message_Oagent_OSpy', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 
% 1.95/2.32    'v_NA' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), X )
% 1.95/2.32     ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) )
% 1.95/2.32     ] )
% 1.95/2.32  , 0, clause( 5813, [ 'c_in'( 'c_Event_Oevent_ONotes'( 
% 1.95/2.32    'c_Message_Oagent_OSpy', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 
% 1.95/2.32    'v_NA' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 1.95/2.32    'v_k' ) ) ), 'c_List_Oset'( 'v_evso', 'tc_Event_Oevent' ), 
% 1.95/2.32    'tc_Event_Oevent' ) ] )
% 1.95/2.32  , 0, substitution( 0, [ :=( X, 'v_k' )] ), substitution( 1, [] )).
% 1.95/2.32  
% 1.95/2.32  
% 1.95/2.32  subsumption(
% 1.95/2.32  clause( 2838, [] )
% 1.95/2.32  , clause( 9354, [] )
% 1.95/2.32  , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.95/2.32  
% 1.95/2.32  
% 1.95/2.32  end.
% 1.95/2.32  
% 1.95/2.32  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.95/2.32  
% 1.95/2.32  Memory use:
% 1.95/2.32  
% 1.95/2.32  space for terms:        124159
% 1.95/2.32  space for clauses:      217052
% 1.95/2.32  
% 1.95/2.32  
% 1.95/2.32  clauses generated:      2974
% 1.95/2.32  clauses kept:           2839
% 1.95/2.32  clauses selected:       0
% 1.95/2.32  clauses deleted:        0
% 1.95/2.32  clauses inuse deleted:  0
% 1.95/2.32  
% 1.95/2.32  subsentry:          23684
% 1.95/2.32  literals s-matched: 9907
% 1.95/2.32  literals matched:   9883
% 1.95/2.32  full subsumption:   781
% 1.95/2.32  
% 1.95/2.32  checksum:           2040658733
% 1.95/2.32  
% 1.95/2.32  
% 1.95/2.32  Bliksem ended
%------------------------------------------------------------------------------