TSTP Solution File: SWV310-1 by Bliksem---1.12

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV310-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:23:52 EDT 2022

% Result   : Unsatisfiable 2.37s 2.74s
% Output   : Refutation 2.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV310-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % DateTime : Tue Jun 14 22:01:29 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 1.04/1.39  *** allocated 10000 integers for termspace/termends
% 1.04/1.39  *** allocated 10000 integers for clauses
% 1.04/1.39  *** allocated 10000 integers for justifications
% 1.04/1.39  *** allocated 15000 integers for termspace/termends
% 1.04/1.39  *** allocated 22500 integers for termspace/termends
% 1.04/1.39  Bliksem 1.12
% 1.04/1.39  
% 1.04/1.39  
% 1.04/1.39  Automatic Strategy Selection
% 1.04/1.39  
% 1.04/1.39  Clauses:
% 1.04/1.39  [
% 1.04/1.39     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.04/1.39    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.04/1.39     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.04/1.39    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.04/1.39    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 1.04/1.39    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 1.04/1.39    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 1.04/1.39    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.04/1.39     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.04/1.39     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.04/1.39    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.04/1.39    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.04/1.39    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 1.04/1.39    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 1.04/1.39    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.04/1.39     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 1.04/1.39    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.04/1.39    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.04/1.39    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.04/1.39    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.04/1.39    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 1.04/1.39    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 1.04/1.39    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 1.04/1.39    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 1.04/1.39    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.04/1.39    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.04/1.39    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.04/1.39    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.04/1.39    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.04/1.39     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.04/1.39    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 1.04/1.39    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.04/1.39    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 1.04/1.39    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.04/1.39     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.04/1.39    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 1.04/1.39    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'( 
% 1.04/1.39    Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.04/1.39    ,
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'( 
% 1.04/1.39    Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.04/1.39    ,
% 1.04/1.39     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.04/1.39    , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.04/1.39    , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 1.04/1.39    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 1.04/1.39    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 1.04/1.39    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.04/1.39     ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'( 
% 1.04/1.39    Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 1.04/1.39    X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.04/1.39     ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 1.04/1.39    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 1.04/1.39    X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.04/1.39     ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 1.04/1.39    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), 
% 1.04/1.39    'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.04/1.39    , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 1.04/1.39    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.04/1.39    , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 1.04/1.39    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 1.04/1.39    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.04/1.39    ,
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.04/1.39    ,
% 1.04/1.39     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 
% 1.04/1.39    'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.04/1.39    'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.04/1.39    'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.04/1.39    'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.04/1.39    , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'( 
% 1.04/1.39    'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.04/1.39    , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.04/1.39    , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.04/1.39    , 'tc_set'( Y ) ) ],
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.04/1.39     ) ), X, 'tc_nat' ) ],
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.04/1.39     ) ), Y, 'tc_nat' ) ],
% 1.04/1.39     [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ), 
% 1.04/1.39    ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.04/1.39     [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 1.04/1.39    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.04/1.39     [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 1.04/1.39    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 1.04/1.39    'tc_IntDef_Oint' ) ],
% 1.04/1.39     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ), 
% 1.04/1.39    'tc_IntDef_Oint' ) ],
% 1.04/1.39     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.04/1.39    , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.04/1.39     ) ) ],
% 1.04/1.39     [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.04/1.39     [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.04/1.39     ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 1.04/1.39    'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.04/1.39     [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'( 
% 1.04/1.39    'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y, 
% 1.04/1.39    'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.04/1.39     [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 1.04/1.39    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 1.04/1.39    'tc_nat' ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.04/1.39    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.04/1.39    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 1.04/1.39    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 1.04/1.39    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.04/1.39    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.04/1.39    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.04/1.39    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 1.04/1.39    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.04/1.39    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 1.04/1.39    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 1.04/1.39    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 1.04/1.39    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 1.04/1.39    'tc_prod'( Z, Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.04/1.39    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.04/1.39    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 1.04/1.39    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 1.04/1.39    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.04/1.39    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.04/1.39    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.04/1.39    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 1.04/1.39    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.04/1.39    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 1.04/1.39    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 1.04/1.39    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 1.04/1.39    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 1.04/1.39    'tc_prod'( T, T ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.04/1.39    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 1.04/1.39    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.04/1.39    'c_List_Olist_ONil' ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.04/1.39    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 1.04/1.39    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 1.04/1.39    'c_List_Olist_ONil' ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.04/1.39    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 1.04/1.39    'tc_List_Olist'( Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.04/1.39    'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.04/1.39     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 
% 1.04/1.39    'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ), 
% 1.04/1.39    'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'( 
% 1.04/1.39    Y ) ) ],
% 1.04/1.39     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.04/1.39    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 1.04/1.39    Y ) ) ],
% 1.04/1.39     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.04/1.39    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.04/1.39     ) ) ],
% 1.04/1.39     [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.04/1.39     [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.04/1.39     [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.04/1.39     [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.04/1.39     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.04/1.39    ,
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.04/1.39    , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'( 
% 1.04/1.39    'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 1.04/1.39    'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 1.04/1.39    'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'( 
% 1.04/1.39    T, U ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W, 
% 1.04/1.39    'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.04/1.39     ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'( 
% 1.04/1.39    'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.04/1.39    ,
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.04/1.39    , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.04/1.39    , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ), 
% 1.04/1.39    'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.04/1.39    ,
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.04/1.39    , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ), 
% 1.04/1.39    'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.04/1.39    , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.04/1.39    , Z, Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), 
% 1.04/1.39    'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.04/1.39     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 1.04/1.39    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.04/1.39    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), 
% 1.04/1.39    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.04/1.39     ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.04/1.39    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 1.04/1.39    'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.04/1.39     ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 1.04/1.39    U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 1.04/1.39    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 1.04/1.39    'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.04/1.39    , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0, 
% 1.04/1.39    T ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ), 
% 1.04/1.39    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 1.04/1.39    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 
% 1.04/1.39    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 1.04/1.39    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 1.04/1.39    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 
% 1.04/1.39    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 1.04/1.39    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 
% 1.04/1.39    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.04/1.39    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 1.04/1.39    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.04/1.39     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y, 
% 1.04/1.39    Z ), Y, 'tc_set'( Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 1.04/1.39    'c_Inter'( Y, Z ), Z ) ],
% 1.04/1.39     [ 'c_in'( X, 'c_UNIV', Y ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 1.04/1.39    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'( 
% 1.04/1.39    X, Y, Z ), Z ) ],
% 1.04/1.39     [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 1.04/1.39     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 1.04/1.39    'tc_set'( Z ) ) ) ],
% 1.04/1.39     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'( 
% 1.04/1.39    Z ) ) ],
% 1.04/1.39     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'( 
% 1.04/1.39    Z ) ), =( X, Y ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 1.04/1.39    ,
% 1.04/1.39     [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 1.04/1.39     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 1.04/1.39     ) ) ), =( X, Z ) ],
% 1.04/1.39     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 1.04/1.39    'c_in'( X, T, Z ) ],
% 1.04/1.39     [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.04/1.39    , 'tc_set'( Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'( 
% 1.04/1.39    X, Y, 'tc_set'( Z ) ) ],
% 1.04/1.39     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 1.04/1.39    'tc_set'( Z ) ) ), =( Y, X ) ],
% 1.04/1.39     [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ), 
% 1.04/1.39    'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ), 
% 1.04/1.39    'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.04/1.39    , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ), 
% 1.04/1.39    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 1.04/1.39    ,
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.04/1.39    , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X, 
% 1.04/1.39    'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.04/1.39    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X, 
% 1.04/1.39    'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 1.04/1.39     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.04/1.39    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'( 
% 1.04/1.39    'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 1.04/1.39     [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 1.04/1.39    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.04/1.39     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.04/1.39     ), 'tc_prod'( Y, Y ) ) ],
% 1.04/1.39     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 1.04/1.39    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 1.04/1.39    'tc_prod'( Z, Z ) ) ],
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% 1.04/1.39     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'( 
% 1.04/1.39    X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.04/1.39    'class_HOL_Otimes'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.04/1.39    'class_HOL_Oplus'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.04/1.39    'class_HOL_Oplus'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'( 
% 1.04/1.39    X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'( 
% 1.04/1.39    X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'( 
% 1.04/1.39    X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'( 
% 1.04/1.39    X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'( 
% 1.04/1.39    X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_LOrder_Olorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_HOL_Ominus'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'( 
% 1.04/1.39    X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_Orderings_Oorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 1.04/1.39    'class_Orderings_Oord'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_HOL_Oplus'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_LOrder_Olorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_Orderings_Oorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_Orderings_Oord'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_HOL_Ominus'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_HOL_Ozero'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_HOL_Oplus'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_LOrder_Olorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_HOL_Ominus'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_HOL_Ozero'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_Orderings_Oorder'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 1.04/1.39    'class_Orderings_Oord'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.39    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_HOL_Ominus'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_Orderings_Olinorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_HOL_Ominus'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40    , 'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40    , 'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40    , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40    , 'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Power_Orecpower'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 1.04/1.40    'class_HOL_Oone'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.04/1.40    'class_HOL_Ominus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
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% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
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% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_HOL_Oone'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Oone'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.04/1.40    'class_HOL_Oinverse'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oidom'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Orderings_Olinorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ofield'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_HOL_Oinverse'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oidom'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__idom'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Orderings_Olinorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Orderings_Olinorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oidom'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Orderings_Olinorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Ominus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Orderings_Olinorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Orderings_Olinorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_HOL_Ominus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 1.04/1.40    X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Oone'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Otimes'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Ozero'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_HOL_Oplus'( X ) ],
% 1.04/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 1.04/1.40    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.04/1.40     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.04/1.40    'class_Orderings_Oord'( X ) ],
% 1.04/1.40     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.04/1.40    'class_Orderings_Oorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.04/1.40    'class_LOrder_Omeet__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.04/1.40    'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.04/1.40    'class_LOrder_Olorder'( X ) ],
% 1.04/1.40     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 1.04/1.40    'class_Orderings_Olinorder'( X ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 1.04/1.40    'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.04/1.40     [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.04/1.40    , Y ) ],
% 1.04/1.40     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 1.04/1.40    'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 1.04/1.40     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 1.04/1.40    'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'( 
% 1.04/1.40    Z, Y ) ) ), =( X, Z ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 1.04/1.40    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.04/1.40    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.04/1.40    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.04/1.40    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.04/1.40    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 1.04/1.40    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.04/1.40     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.04/1.40     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.04/1.40     [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =( 
% 1.04/1.40    X, 'c_emptyset' ) ],
% 1.04/1.40     [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =( 
% 1.04/1.40    X, 'c_emptyset' ) ],
% 1.04/1.40     [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ), 
% 1.04/1.40    'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z, 
% 1.04/1.40    'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.04/1.40    , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ), 
% 1.04/1.40    'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 1.04/1.40    'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 1.04/1.40    'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.04/1.40     ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.04/1.40     ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'( 
% 1.04/1.40    Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X, 
% 1.04/1.40    Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.04/1.40    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.04/1.40    , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.04/1.40     ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.04/1.40    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.04/1.40     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 1.04/1.40    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 1.04/1.40    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'( 
% 1.04/1.40    X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.04/1.40    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.04/1.40     [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.04/1.40    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.04/1.40    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 1.04/1.40    'tc_IntDef_Oint' ) ],
% 1.04/1.40     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.04/1.40     ],
% 1.04/1.40     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.04/1.40     [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 1.04/1.40    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 1.04/1.40    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 1.04/1.40    'tc_IntDef_Oint' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 1.04/1.40    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 1.04/1.40    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X, 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y, 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil', 
% 1.04/1.40    'c_List_Olist_ONil', X ) ) ],
% 1.04/1.40     [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X, 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 1.04/1.40    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 1.04/1.40    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.04/1.40    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 1.04/1.40    Z ) ) ), =( X, T ) ],
% 1.04/1.40     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.04/1.40    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 1.04/1.40    Z ) ) ), =( Y, U ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.04/1.40    'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 1.04/1.40    'tc_List_Olist'( Z ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 1.04/1.40    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 1.04/1.40    'tc_List_Olist'( Z ) ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 1.04/1.40    'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 
% 1.04/1.40    'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ), 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.04/1.40     [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.04/1.40     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 1.04/1.40    =( X, Z ) ],
% 1.04/1.40     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 1.04/1.40    =( Y, T ) ],
% 1.04/1.40     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X, 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 1.04/1.40    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.04/1.40     [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.04/1.40    , =( X, 'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.04/1.40    , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X, 
% 1.04/1.40    Y ), X ) ],
% 1.04/1.40     [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 1.04/1.40    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 1.04/1.40    'tc_List_Olist'( Y ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.04/1.40     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.04/1.40     ) ), =( X, T ) ],
% 1.04/1.40     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.04/1.40     ) ), =( Y, U ) ],
% 1.04/1.40     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.04/1.40    , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 1.04/1.40    'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.04/1.40     [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 1.04/1.40    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 1.04/1.40    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.04/1.40     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.04/1.40     [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.04/1.40     [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.04/1.40     [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 1.04/1.40    'c_List_Olist_ONil' ) ],
% 1.04/1.40     [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.04/1.40     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.04/1.40     [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 1.04/1.40    'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ), 
% 1.04/1.40    'c_Suc'( Y ), 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.04/1.40    , 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.04/1.40    , 'tc_nat' ) ],
% 1.04/1.40     [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.04/1.40     [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.04/1.40     [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 
% 1.04/1.40    'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y, 
% 1.04/1.40    'tc_nat' ), 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X, 
% 1.04/1.40    'tc_nat' ), 'tc_nat' ) ],
% 1.04/1.40     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.04/1.40     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.04/1.40     [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.04/1.40     [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.04/1.40     [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.04/1.40     [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.04/1.40     [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.04/1.40     [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.04/1.40     [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.04/1.40     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.04/1.40     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.04/1.40     [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.04/1.40     [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.04/1.40     [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.04/1.40     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.04/1.40    , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.04/1.40    , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 1.04/1.40    'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.04/1.40     ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 1.04/1.40    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 1.04/1.40    Z ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.04/1.40     ) ), =( X, Y ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'( 
% 1.04/1.40    Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.04/1.40    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.04/1.40    'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.04/1.40    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 1.04/1.40    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.04/1.40    'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 1.04/1.40    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'( 
% 1.04/1.40    Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.04/1.40    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.04/1.40    'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 1.04/1.40    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 1.04/1.40    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 1.04/1.40    'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( 
% 1.04/1.40    Z, X ), 'tc_set'( X ) ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.04/1.40    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.04/1.40     ) ) ), =( Y, Z ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.04/1.40    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.04/1.40    , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.04/1.40    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.04/1.40     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.04/1.40    , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 1.04/1.40    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'( 
% 1.04/1.40    Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 1.04/1.40    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.04/1.40    , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.04/1.40    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 1.04/1.40    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.04/1.40    , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 1.04/1.40    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 
% 1.04/1.40    Z ) ) ],
% 1.04/1.40     [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.04/1.40     ), =( X, Z ) ],
% 1.04/1.40     [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 1.04/1.40    'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'( 
% 1.04/1.40    Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.04/1.40    , Z ) ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.04/1.40    , 'tc_set'( Z ) ), Z ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'( 
% 1.04/1.40    T, Y, Z ), Z ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.04/1.40     ) ), 'c_in'( T, X, Z ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.04/1.40    , 'tc_set'( Z ) ) ],
% 1.04/1.40     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.04/1.40    , 'tc_set'( Z ) ) ],
% 1.04/1.40     [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 1.04/1.40    X, Y, T ) ],
% 1.04/1.40     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.04/1.40    , 'c_Union'( T, Z ), Z ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.04/1.40     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =( 
% 1.04/1.40    X, T ) ],
% 1.04/1.40     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), 
% 1.04/1.40    'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.04/1.40     ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.04/1.40     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =( 
% 1.04/1.40    Z, X ) ],
% 1.04/1.40     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), 
% 1.04/1.40    'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.04/1.40     ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.04/1.40     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.04/1.40    , =( X, T ) ],
% 1.04/1.40     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.04/1.40    , =( X, T ) ],
% 1.04/1.40     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, 
% 1.04/1.40    Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.04/1.40     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.04/1.40    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.04/1.40    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'( 
% 1.04/1.40    T, Z ) ],
% 1.04/1.40     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.04/1.40    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 1.04/1.40    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.04/1.40     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 1.04/1.40    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 1.04/1.40    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.04/1.40    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.04/1.40     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.04/1.40    , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.04/1.40    , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 1.04/1.40    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.04/1.40     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 1.04/1.40    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 1.04/1.40    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 1.04/1.40    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 1.04/1.40    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.04/1.40     ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 
% 1.04/1.40    'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 
% 1.04/1.40    'tc_nat' ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad', 
% 1.04/1.40    'tc_Message_Oagent' ) ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad', 'tc_Message_Oagent' )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 1.04/1.40    'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.04/1.40    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OGets'( T, U
% 1.04/1.40     ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.04/1.40     ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_ONotes'( T, U
% 1.04/1.40     ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.04/1.40     ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.04/1.40     ) ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OGets'( Z, T )
% 1.04/1.40     ) ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.04/1.40    , W ) ) ), =( X, T ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.04/1.40    , W ) ) ), =( Y, U ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.04/1.40    , W ) ) ), =( Z, W ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.04/1.40     ), =( X, Z ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.04/1.40     ), =( Y, T ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.04/1.40     ) ), =( X, Z ) ],
% 1.04/1.40     [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.04/1.40     ) ), =( Y, T ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 1.04/1.40    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z, 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.04/1.40    , =( Z, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.04/1.40    , =( T, Y ) ],
% 1.04/1.40     [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ],
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( X
% 1.04/1.40    , Z ) ],
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( Y
% 1.04/1.40    , T ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OAgent'( Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T ) ) )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'( Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'( Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONonce'( Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONumber'( Z ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( X ), Y, 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.04/1.40    , =( X, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( Z, T ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.04/1.40    , =( Y, T ) ],
% 1.04/1.40     [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'( 
% 1.04/1.40    'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( 
% 1.04/1.40    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 1.04/1.40    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( 
% 1.04/1.40    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 1.04/1.40    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( 
% 1.04/1.40    'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.04/1.40    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 1.04/1.40    Y ) ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OFriend'( X ) ) )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OServer' ) )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OSpy' ) ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OServer' ) ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OSpy' ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OFriend'( X ) ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OFriend'( Y )
% 1.04/1.40     ) ), =( X, Y ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( 
% 1.04/1.40    Y ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y ) ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z, 'tc_Message_Omsg' )
% 1.04/1.40     ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Y ) ) ), 
% 1.04/1.40    =( X, Y ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Omsg_ONumber'( Y ) ) )
% 1.04/1.40    , =( X, Y ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Omsg_ONonce'( Y ) ) ), 
% 1.04/1.40    =( X, Y ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( Y ) ) ), =( X
% 1.04/1.40    , Y ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_Omsg_OHash'( Y ) ) ), 
% 1.04/1.40    =( X, Y ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.04/1.40     ) ), =( X, Z ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.04/1.40     ) ), =( Y, T ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.04/1.40     ) ), =( X, Z ) ],
% 1.04/1.40     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.04/1.40     ) ), =( Y, T ) ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( 
% 1.04/1.40    Y ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ), 'tc_Message_Omsg' )
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y ) ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~( 
% 1.04/1.40    'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.04/1.40    'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.04/1.40    'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 
% 1.04/1.40    Y ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~( 
% 1.04/1.40    'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.04/1.40    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Osynth'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y ) ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 
% 1.04/1.40    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'( 
% 1.04/1.40    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg'
% 1.04/1.40     ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Y, 'c_Message_Osynth'( 
% 1.04/1.40    'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_union'( 
% 1.04/1.40    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'c_Message_Oparts'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 
% 1.04/1.40    'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' )
% 1.04/1.40     ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 1.04/1.40    X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.04/1.40     ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X, 
% 1.04/1.40    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 
% 1.04/1.40    'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 1.04/1.40    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.04/1.40     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( Y ) ), 
% 1.04/1.40    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.04/1.40     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ), 
% 1.04/1.40    'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 'c_Message_Oparts'( 
% 1.04/1.40    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 1.04/1.40    ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OAgent'( W ) ) ) ), 
% 1.04/1.40    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.04/1.40     ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( 
% 1.04/1.40    'c_Event_OinitState'( Y ) ), 'tc_Message_Omsg' ) ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'( 
% 1.04/1.40    'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( Y, X )
% 1.04/1.40     ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' )
% 1.04/1.40     ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'( 
% 1.04/1.40    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'( 
% 1.04/1.40    'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.04/1.40    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Public_Okeymode_OSignature', 'c_Public_Okeymode_OEncryption'
% 1.04/1.40     ) ) ],
% 1.04/1.40     [ ~( =( 'c_Public_Okeymode_OEncryption', 'c_Public_Okeymode_OSignature'
% 1.04/1.40     ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.04/1.40    'c_Message_OsymKeys', 'tc_nat' ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OsymKeys', 
% 1.04/1.40    'tc_nat' ) ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.04/1.40    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_OinitState'( Y ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'( 
% 1.04/1.40    'c_Public_OpublicKey'( Y, Z ) ) ) ) ],
% 1.04/1.40     [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.04/1.40    'c_Public_OpublicKey'( Z, T ) ) ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 1.04/1.40    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_Oused'( Z ), 
% 1.04/1.40    'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z ) ) ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.04/1.40    'c_Event_OinitState'( Z ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.04/1.40    , =( X, Z ) ],
% 1.04/1.40     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.04/1.40    , =( Y, T ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.04/1.40    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'( 
% 1.04/1.40    'c_Public_OpublicKey'( Z, T ) ) ) ) ],
% 1.04/1.40     [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.04/1.40    'c_Event_OinitState'( X ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.04/1.40    'c_Event_Oknows'( X, Y ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 1.04/1.40    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.04/1.40     [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ), =( X, Y ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ), 
% 1.04/1.40    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' )
% 1.04/1.40     ), 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'( 
% 1.04/1.40    'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.04/1.40     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ), 
% 1.04/1.40    'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 'c_Message_Oparts'( 
% 1.04/1.40    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 1.04/1.40    'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 
% 1.04/1.40    'c_Event_Oevent_OSays'( Y, 'c_Message_Oagent_OServer', 
% 1.04/1.40    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( 'v_sko__u__1'( U, 
% 1.04/1.40    Y, Z, T, X ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ), 
% 1.04/1.40    'c_Message_Omsg_OAgent'( Y ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( X, 
% 1.04/1.40    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.04/1.40     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ), 
% 1.04/1.40    'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 'c_Message_Oparts'( 
% 1.04/1.40    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 1.04/1.40    ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( W, 'c_Message_Omsg_OMPair'( T, 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V0 ), 
% 1.04/1.40    'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 'c_Message_Oparts'( 
% 1.04/1.40    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 1.04/1.40    'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), =( Z, W ) ],
% 1.04/1.40     [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.04/1.40     ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ), 
% 1.04/1.40    'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 'c_Message_Oparts'( 
% 1.04/1.40    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 1.04/1.40    ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( W, 'c_Message_Omsg_OMPair'( T, 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V0 ), 
% 1.04/1.40    'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 'c_Message_Oparts'( 
% 1.04/1.40    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 
% 1.04/1.40    'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), =( U, V0 ) ],
% 1.04/1.40     [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 1.04/1.40     [ 'c_in'( 'v_evs2', 'c_OtwayRees_Ootway', 'tc_List_Olist'( 
% 1.04/1.40    'tc_Event_Oevent' ) ) ],
% 1.04/1.40     [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), 'c_Event_Oused'( 
% 1.04/1.40    'v_evs2' ), 'tc_Message_Omsg' ) ) ],
% 1.04/1.40     [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_Ba', 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_ONonce'( 'v_NAa' ), 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OAgent'( 'v_Aa' ), 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OAgent'( 'v_Ba' ), 'v_X' ) ) ) ), 'c_List_Oset'( 'v_evs2'
% 1.04/1.40    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.04/1.40     [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B', 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 1.04/1.40    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 1.04/1.40    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer', 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( X, 
% 1.04/1.40    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB', 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 1.04/1.40    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 
% 1.04/1.40    'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ],
% 1.04/1.40     [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 'c_Message_Oagent_OServer', 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OAgent'( 'v_A' ), 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OAgent'( 'v_B' ), 'c_Message_Omsg_OMPair'( 'v_x', 
% 1.04/1.40    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB', 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 1.04/1.40    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 
% 1.04/1.40    'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( 
% 1.04/1.40    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B', 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 
% 1.04/1.40    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 1.04/1.40    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 1.04/1.40    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 1.04/1.40    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 1.04/1.40    ,
% 1.04/1.40     [ ~( =( 'v_NB', 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ), ~( =( X, 'v_X' )
% 1.04/1.40     ), ~( =( 'v_A', 'v_Aa' ) ), ~( =( 'v_NA', 'c_Message_Omsg_ONonce'( 
% 1.04/1.40    'v_NAa' ) ) ), ~( =( 'v_B', 'v_Ba' ) ) ]
% 1.04/1.40  ] .
% 1.04/1.40  
% 1.04/1.40  
% 1.04/1.40  percentage equality = 0.102269, percentage horn = 0.974966
% 1.04/1.40  This is a problem with some equality
% 1.04/1.40  
% 1.04/1.40  
% 1.04/1.40  
% 1.04/1.40  Options Used:
% 1.04/1.40  
% 1.04/1.40  useres =            1
% 1.04/1.40  useparamod =        1
% 1.04/1.40  useeqrefl =         1
% 1.04/1.40  useeqfact =         1
% 1.04/1.40  usefactor =         1
% 1.04/1.40  usesimpsplitting =  0
% 1.04/1.40  usesimpdemod =      5
% 1.04/1.40  usesimpres =        3
% 1.04/1.40  
% 1.04/1.40  resimpinuse      =  1000
% 1.04/1.40  resimpclauses =     20000
% 1.04/1.40  substype =          eqrewr
% 1.04/1.40  backwardsubs =      1
% 1.04/1.40  selectoldest =      5
% 1.04/1.40  
% 1.04/1.40  litorderings [0] =  split
% 1.04/1.40  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.04/1.40  
% 1.04/1.40  termordering =      kbo
% 1.04/1.40  
% 1.04/1.40  litapriori =        0
% 1.04/1.40  termapriori =       1
% 1.04/1.40  litaposteriori =    0
% 1.04/1.40  termaposteriori =   0
% 1.04/1.40  demodaposteriori =  0
% 1.04/1.40  ordereqreflfact =   0
% 1.04/1.40  
% 1.04/1.40  litselect =         negord
% 1.04/1.40  
% 1.04/1.40  maxweight =         15
% 1.04/1.40  maxdepth =          30000
% 1.04/1.40  maxlength =         115
% 1.04/1.40  maxnrvars =         195
% 1.04/1.40  excuselevel =       1
% 1.04/1.40  increasemaxweight = 1
% 1.04/1.40  
% 1.04/1.40  maxselected =       10000000
% 1.04/1.40  maxnrclauses =      10000000
% 1.04/1.40  
% 1.04/1.40  showgenerated =    0
% 1.04/1.40  showkept =         0
% 1.04/1.40  showselected =     0
% 1.04/1.40  showdeleted =      0
% 1.04/1.40  showresimp =       1
% 1.04/1.40  showstatus =       2000
% 1.04/1.40  
% 1.04/1.40  prologoutput =     1
% 1.04/1.40  nrgoals =          5000000
% 1.04/1.40  totalproof =       1
% 1.04/1.40  
% 1.04/1.40  Symbols occurring in the translation:
% 1.04/1.40  
% 1.04/1.40  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.04/1.40  .  [1, 2]      (w:1, o:225, a:1, s:1, b:0), 
% 1.04/1.40  !  [4, 1]      (w:0, o:129, a:1, s:1, b:0), 
% 1.04/1.40  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.04/1.40  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.04/1.40  'c_Datatype__Universe_OLeaf'  [42, 3]      (w:1, o:294, a:1, s:1, b:0), 
% 1.04/1.40  'c_Datatype__Universe_ONumb'  [44, 3]      (w:1, o:295, a:1, s:1, b:0), 
% 1.04/1.40  'c_Datatype__Universe_Odprod'  [48, 4]      (w:1, o:329, a:1, s:1, b:0), 
% 1.04/1.40  'tc_Datatype__Universe_Onode'  [49, 2]      (w:1, o:250, a:1, s:1, b:0), 
% 1.04/1.40  'tc_set'  [50, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 1.04/1.40  'tc_prod'  [51, 2]      (w:1, o:251, a:1, s:1, b:0), 
% 1.04/1.40  'c_in'  [52, 3]      (w:1, o:296, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OdprodE__1'  [53, 5]      (w:1, o:350, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OdprodE__2'  [54, 5]      (w:1, o:351, a:1, s:1, b:0), 
% 1.04/1.40  'c_Datatype__Universe_OScons'  [55, 4]      (w:1, o:330, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OdprodE__3'  [56, 5]      (w:1, o:352, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OdprodE__4'  [57, 5]      (w:1, o:353, a:1, s:1, b:0), 
% 1.04/1.40  'c_Pair'  [58, 4]      (w:1, o:331, a:1, s:1, b:0), 
% 1.04/1.40  'c_Datatype__Universe_Odsum'  [64, 4]      (w:1, o:332, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OdsumE__1'  [65, 4]      (w:1, o:335, a:1, s:1, b:0), 
% 1.04/1.40  'c_Datatype__Universe_OIn0'  [66, 3]      (w:1, o:297, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OdsumE__2'  [67, 4]      (w:1, o:336, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OdsumE__3'  [68, 4]      (w:1, o:337, a:1, s:1, b:0), 
% 1.04/1.40  'c_Datatype__Universe_OIn1'  [69, 3]      (w:1, o:298, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OdsumE__4'  [70, 4]      (w:1, o:338, a:1, s:1, b:0), 
% 1.04/1.40  'c_Datatype__Universe_Ouprod'  [73, 4]      (w:1, o:339, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OuprodE__1'  [74, 5]      (w:1, o:354, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OuprodE__2'  [75, 5]      (w:1, o:355, a:1, s:1, b:0), 
% 1.04/1.40  'c_Datatype__Universe_Ousum'  [77, 4]      (w:1, o:340, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OusumE__1'  [78, 4]      (w:1, o:341, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OusumE__2'  [79, 4]      (w:1, o:342, a:1, s:1, b:0), 
% 1.04/1.40  'c_0'  [81, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 1.04/1.40  'tc_nat'  [82, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 1.04/1.40  'c_Divides_Oop_Advd'  [83, 3]      (w:1, o:299, a:1, s:1, b:0), 
% 1.04/1.40  'c_Suc'  [84, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 1.04/1.40  'c_times'  [86, 3]      (w:1, o:300, a:1, s:1, b:0), 
% 1.04/1.40  'c_Divides_Oop_Amod'  [88, 3]      (w:1, o:301, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Omod__eq__0D__dest__1'  [89, 2]      (w:1, o:261, a:1, s:1, b:0), 
% 1.04/1.40  'c_emptyset'  [90, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 1.04/1.40  'c_Finite__Set_OFinites'  [91, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 1.04/1.40  'c_insert'  [93, 3]      (w:1, o:302, a:1, s:1, b:0), 
% 1.04/1.40  'c_inter'  [96, 3]      (w:1, o:303, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Ofinite__Union__1'  [97, 2]      (w:1, o:262, a:1, s:1, b:0), 
% 1.04/1.40  'c_Union'  [98, 2]      (w:1, o:267, a:1, s:1, b:0), 
% 1.04/1.40  'c_GCD_Ogcd'  [100, 1]      (w:1, o:136, a:1, s:1, b:0), 
% 1.04/1.40  'c_Infinite__Set_Oatmost__one'  [102, 2]      (w:1, o:268, a:1, s:1, b:0), 
% 1.04/1.40    
% 1.04/1.40  'c_IntDef_Oint'  [103, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 1.04/1.40  'tc_IntDef_Oint'  [104, 0]      (w:1, o:67, a:1, s:1, b:0), 
% 1.04/1.40  'c_uminus'  [105, 2]      (w:1, o:269, a:1, s:1, b:0), 
% 1.04/1.40  'c_lessequals'  [106, 3]      (w:1, o:304, a:1, s:1, b:0), 
% 1.04/1.40  'c_less'  [107, 3]      (w:1, o:305, a:1, s:1, b:0), 
% 1.04/1.40  'c_1'  [108, 0]      (w:1, o:68, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Ozmod__eq__0D__dest__1'  [109, 2]      (w:1, o:270, a:1, s:1, b:0)
% 1.04/1.40    , 
% 1.04/1.40  'c_List_Oremdups'  [111, 2]      (w:1, o:252, a:1, s:1, b:0), 
% 1.04/1.40  'c_List_Odistinct'  [112, 2]      (w:1, o:254, a:1, s:1, b:0), 
% 1.04/1.40  'c_List_Oset'  [113, 2]      (w:1, o:256, a:1, s:1, b:0), 
% 1.04/1.40  'c_List_Olists'  [114, 2]      (w:1, o:258, a:1, s:1, b:0), 
% 1.04/1.40  'tc_List_Olist'  [115, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Oin__listsI__1'  [117, 3]      (w:1, o:307, a:1, s:1, b:0), 
% 1.04/1.40  'c_Nat_Osize'  [118, 2]      (w:1, o:277, a:1, s:1, b:0), 
% 1.04/1.40  'c_List_Olist_OCons'  [120, 3]      (w:1, o:306, a:1, s:1, b:0), 
% 1.04/1.40  'c_List_Olistrel'  [121, 2]      (w:1, o:257, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Olistrel__Cons1__1'  [122, 5]      (w:1, o:356, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Olistrel__Cons1__2'  [123, 5]      (w:1, o:357, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Olistrel__Cons2__1'  [124, 5]      (w:1, o:358, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Olistrel__Cons2__2'  [125, 5]      (w:1, o:359, a:1, s:1, b:0), 
% 1.04/1.40  'c_List_Olist_ONil'  [126, 0]      (w:1, o:71, a:1, s:1, b:0), 
% 1.04/1.40  'c_Wellfounded__Recursion_Owf'  [128, 2]      (w:1, o:278, a:1, s:1, b:0), 
% 1.04/1.40    
% 1.04/1.40  'c_List_Olenlex'  [129, 2]      (w:1, o:259, a:1, s:1, b:0), 
% 1.04/1.40  'c_List_Olex'  [130, 2]      (w:1, o:260, a:1, s:1, b:0), 
% 1.04/1.40  'class_Orderings_Oorder'  [131, 1]      (w:1, o:142, a:1, s:1, b:0), 
% 1.04/1.40  'c_Relation_ODomain'  [132, 3]      (w:1, o:308, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_ODomainE__1'  [133, 4]      (w:1, o:343, a:1, s:1, b:0), 
% 1.04/1.40  'c_Relation_OId'  [136, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OIdE__1'  [137, 2]      (w:1, o:271, a:1, s:1, b:0), 
% 1.04/1.40  'c_Relation_OImage'  [138, 4]      (w:1, o:344, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OImageE__1'  [139, 5]      (w:1, o:360, a:1, s:1, b:0), 
% 1.04/1.40  'c_Relation_ORange'  [140, 3]      (w:1, o:309, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_ORangeE__1'  [141, 4]      (w:1, o:345, a:1, s:1, b:0), 
% 1.04/1.40  'c_Relation_Oconverse'  [143, 3]      (w:1, o:310, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OconverseE__1'  [144, 4]      (w:1, o:333, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OconverseE__2'  [145, 4]      (w:1, o:334, a:1, s:1, b:0), 
% 1.04/1.40  'c_Relation_Odiag'  [146, 2]      (w:1, o:279, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OdiagE__1'  [147, 3]      (w:1, o:311, a:1, s:1, b:0), 
% 1.04/1.40  'c_Relation_Orel__comp'  [150, 5]      (w:1, o:361, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Orel__compE__2'  [151, 6]      (w:1, o:364, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Orel__compE__3'  [152, 6]      (w:1, o:365, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_Orel__compE__1'  [153, 6]      (w:1, o:363, a:1, s:1, b:0), 
% 1.04/1.40  'c_SetInterval_OatLeastAtMost'  [154, 3]      (w:1, o:312, a:1, s:1, b:0), 
% 1.04/1.40    
% 1.04/1.40  'c_SetInterval_OatLeastLessThan'  [155, 3]      (w:1, o:313, a:1, s:1, b:0)
% 1.04/1.40    , 
% 1.04/1.40  'c_SetInterval_OatMost'  [156, 2]      (w:1, o:281, a:1, s:1, b:0), 
% 1.04/1.40  'c_SetInterval_OgreaterThanAtMost'  [157, 3]      (w:1, o:314, a:1, s:1, b:
% 1.04/1.40    0), 
% 1.04/1.40  'c_SetInterval_OgreaterThanLessThan'  [158, 3]      (w:1, o:315, a:1, s:1
% 1.04/1.40    , b:0), 
% 1.04/1.40  'c_SetInterval_OlessThan'  [159, 2]      (w:1, o:282, a:1, s:1, b:0), 
% 1.04/1.40  'c_Inter'  [161, 2]      (w:1, o:283, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OInterI__1'  [162, 3]      (w:1, o:316, a:1, s:1, b:0), 
% 1.04/1.40  'c_UNIV'  [163, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OUnionE__1'  [164, 3]      (w:1, o:317, a:1, s:1, b:0), 
% 1.04/1.40  'c_Main_OsubsetI__1'  [165, 3]      (w:1, o:318, a:1, s:1, b:0), 
% 1.04/1.40  'c_Sum__Type_OInl'  [166, 3]      (w:1, o:319, a:1, s:1, b:0), 
% 1.04/1.40  'c_Sum__Type_OPlus'  [167, 4]      (w:1, o:346, a:1, s:1, b:0), 
% 1.04/1.40  'tc_sum'  [168, 2]      (w:1, o:284, a:1, s:1, b:0), 
% 1.04/1.40  'c_Sum__Type_OInr'  [169, 3]      (w:1, o:320, a:1, s:1, b:0), 
% 1.04/1.41  'c_Main_OPlusE__1'  [170, 4]      (w:1, o:347, a:1, s:1, b:0), 
% 1.04/1.41  'c_Main_OPlusE__2'  [171, 4]      (w:1, o:348, a:1, s:1, b:0), 
% 1.04/1.41  'c_Transitive__Closure_Ortrancl'  [172, 2]      (w:1, o:265, a:1, s:1, b:0)
% 1.04/1.41    , 
% 1.04/1.41  'c_Transitive__Closure_Otrancl'  [173, 2]      (w:1, o:266, a:1, s:1, b:0)
% 1.04/1.41    , 
% 1.04/1.41  'c_Wellfounded__Relations_Oless__than'  [174, 0]      (w:1, o:78, a:1, s:1
% 1.04/1.41    , b:0), 
% 1.04/1.41  'c_Relation_Otrans'  [175, 2]      (w:1, o:280, a:1, s:1, b:0), 
% 1.04/1.41  'c_Wellfounded__Relations_Olex__prod'  [178, 4]      (w:1, o:349, a:1, s:1
% 1.04/1.41    , b:0), 
% 1.04/1.41  'tc_Datatype_Ooption'  [182, 1]      (w:1, o:143, a:1, s:1, b:0), 
% 1.04/1.41  'class_Finite__Set_Ofinite'  [183, 1]      (w:1, o:144, a:1, s:1, b:0), 
% 1.04/1.41  'class_HOL_Ominus'  [184, 1]      (w:1, o:145, a:1, s:1, b:0), 
% 1.04/1.41  'class_HOL_Oone'  [185, 1]      (w:1, o:146, a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Osemiring'  [186, 1]      (w:1, o:149, a:1, s:1, b:
% 1.04/1.41    0), 
% 1.04/1.41  'class_Ring__and__Field_Ocomm__semiring'  [187, 1]      (w:1, o:152, a:1
% 1.04/1.41    , s:1, b:0), 
% 1.04/1.41  'class_OrderedGroup_Ocomm__monoid__add'  [188, 1]      (w:1, o:153, a:1, s:
% 1.04/1.41    1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Osemiring__0'  [189, 1]      (w:1, o:154, a:1, s:1
% 1.04/1.41    , b:0), 
% 1.04/1.41  'class_Ring__and__Field_Ocomm__semiring__0'  [190, 1]      (w:1, o:155, a:1
% 1.04/1.41    , s:1, b:0), 
% 1.04/1.41  'class_OrderedGroup_Ocancel__semigroup__add'  [191, 1]      (w:1, o:156, a:
% 1.04/1.41    1, s:1, b:0), 
% 1.04/1.41  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [192, 1]      (w:1, o:157
% 1.04/1.41    , a:1, s:1, b:0), 
% 1.04/1.41  'class_OrderedGroup_Oab__group__add'  [193, 1]      (w:1, o:158, a:1, s:1
% 1.04/1.41    , b:0), 
% 1.04/1.41  'class_Ring__and__Field_Osemiring__0__cancel'  [194, 1]      (w:1, o:159
% 1.04/1.41    , a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Oring'  [195, 1]      (w:1, o:147, a:1, s:1, b:0), 
% 1.04/1.41    
% 1.04/1.41  'class_HOL_Oplus'  [196, 1]      (w:1, o:160, a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Ocomm__semiring__0__cancel'  [197, 1]      (w:1, o:
% 1.04/1.41    161, a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Ocomm__ring'  [198, 1]      (w:1, o:150, a:1, s:1
% 1.04/1.41    , b:0), 
% 1.04/1.41  'class_Ring__and__Field_Oaxclass__0__neq__1'  [199, 1]      (w:1, o:162, a:
% 1.04/1.41    1, s:1, b:0), 
% 1.04/1.41  'class_OrderedGroup_Omonoid__mult'  [200, 1]      (w:1, o:167, a:1, s:1, b:
% 1.04/1.41    0), 
% 1.04/1.41  'class_OrderedGroup_Ocomm__monoid__mult'  [201, 1]      (w:1, o:168, a:1
% 1.04/1.41    , s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Osemiring__1'  [202, 1]      (w:1, o:169, a:1, s:1
% 1.04/1.41    , b:0), 
% 1.04/1.41  'class_Ring__and__Field_Ocomm__semiring__1'  [203, 1]      (w:1, o:170, a:1
% 1.04/1.41    , s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Osemiring__1__cancel'  [204, 1]      (w:1, o:171
% 1.04/1.41    , a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Oring__1'  [205, 1]      (w:1, o:148, a:1, s:1, b:0
% 1.04/1.41    ), 
% 1.04/1.41  'class_Ring__and__Field_Ocomm__semiring__1__cancel'  [206, 1]      (w:1, o:
% 1.04/1.41    172, a:1, s:1, b:0), 
% 1.04/1.41  'class_HOL_Otimes'  [207, 1]      (w:1, o:173, a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Ocomm__ring__1'  [208, 1]      (w:1, o:151, a:1, s:
% 1.04/1.41    1, b:0), 
% 1.04/1.41  'class_LOrder_Omeet__semilorder'  [209, 1]      (w:1, o:175, a:1, s:1, b:0)
% 1.04/1.41    , 
% 1.04/1.41  'class_LOrder_Ojoin__semilorder'  [210, 1]      (w:1, o:176, a:1, s:1, b:0)
% 1.04/1.41    , 
% 1.04/1.41  'class_LOrder_Olorder'  [211, 1]      (w:1, o:174, a:1, s:1, b:0), 
% 1.04/1.41  'class_Orderings_Olinorder'  [212, 1]      (w:1, o:177, a:1, s:1, b:0), 
% 1.04/1.41  'class_OrderedGroup_Opordered__ab__semigroup__add'  [213, 1]      (w:1, o:
% 1.04/1.41    179, a:1, s:1, b:0), 
% 1.04/1.41  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [214, 1]      
% 1.04/1.41    (w:1, o:180, a:1, s:1, b:0), 
% 1.04/1.41  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [215, 1]      
% 1.04/1.41    (w:1, o:181, a:1, s:1, b:0), 
% 1.04/1.41  'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'  [216, 1]      
% 1.04/1.41    (w:1, o:178, a:1, s:1, b:0), 
% 1.04/1.41  'class_HOL_Ozero'  [217, 1]      (w:1, o:182, a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Opordered__semiring'  [218, 1]      (w:1, o:190, a:
% 1.04/1.41    1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Opordered__cancel__semiring'  [219, 1]      (w:1
% 1.04/1.41    , o:191, a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Oordered__semiring__strict'  [220, 1]      (w:1, o:
% 1.04/1.41    184, a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Opordered__comm__semiring'  [221, 1]      (w:1, o:
% 1.04/1.41    193, a:1, s:1, b:0), 
% 1.04/1.41  'class_Ring__and__Field_Opordered__cancel__comm__semiring'  [222, 1]      
% 1.04/1.41    (w:1, o:194, a:1, s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [223, 1]      
% 1.87/2.27    (w:1, o:185, a:1, s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Oaxclass__abs__if'  [224, 1]      (w:1, o:195, a:1
% 1.87/2.27    , s:1, b:0), 
% 1.87/2.27  'class_OrderedGroup_Opordered__ab__group__add'  [225, 1]      (w:1, o:196
% 1.87/2.27    , a:1, s:1, b:0), 
% 1.87/2.27  'class_OrderedGroup_Olordered__ab__group'  [226, 1]      (w:1, o:163, a:1
% 1.87/2.27    , s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Opordered__ring'  [227, 1]      (w:1, o:189, a:1
% 1.87/2.27    , s:1, b:0), 
% 1.87/2.27  'class_Orderings_Oord'  [228, 1]      (w:1, o:197, a:1, s:1, b:0), 
% 1.87/2.27  'class_OrderedGroup_Olordered__ab__group__abs'  [229, 1]      (w:1, o:164
% 1.87/2.27    , a:1, s:1, b:0), 
% 1.87/2.27  'class_OrderedGroup_Olordered__ab__group__meet'  [230, 1]      (w:1, o:165
% 1.87/2.27    , a:1, s:1, b:0), 
% 1.87/2.27  'class_OrderedGroup_Olordered__ab__group__join'  [231, 1]      (w:1, o:166
% 1.87/2.27    , a:1, s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Olordered__ring'  [232, 1]      (w:1, o:198, a:1
% 1.87/2.27    , s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Oaxclass__no__zero__divisors'  [233, 1]      (w:1
% 1.87/2.27    , o:199, a:1, s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Oordered__ring__strict'  [234, 1]      (w:1, o:183
% 1.87/2.27    , a:1, s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Oordered__semidom'  [235, 1]      (w:1, o:186, a:1
% 1.87/2.27    , s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Oidom'  [236, 1]      (w:1, o:200, a:1, s:1, b:0), 
% 1.87/2.27    
% 1.87/2.27  'class_Ring__and__Field_Oordered__idom'  [237, 1]      (w:1, o:187, a:1, s:
% 1.87/2.27    1, b:0), 
% 1.87/2.27  'class_Numeral_Onumber'  [238, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 1.87/2.27  'class_OrderedGroup_Osemigroup__add'  [239, 1]      (w:1, o:201, a:1, s:1
% 1.87/2.27    , b:0), 
% 1.87/2.27  'class_Numeral_Onumber__ring'  [240, 1]      (w:1, o:140, a:1, s:1, b:0), 
% 1.87/2.27  'class_Divides_Odiv'  [241, 1]      (w:1, o:202, a:1, s:1, b:0), 
% 1.87/2.27  'class_Nat_Opower'  [242, 1]      (w:1, o:141, a:1, s:1, b:0), 
% 1.87/2.27  'class_Power_Orecpower'  [243, 1]      (w:1, o:206, a:1, s:1, b:0), 
% 1.87/2.27  'class_Parity_Oeven__odd'  [244, 1]      (w:1, o:207, a:1, s:1, b:0), 
% 1.87/2.27  'class_OrderedGroup_Oab__semigroup__add'  [245, 1]      (w:1, o:203, a:1
% 1.87/2.27    , s:1, b:0), 
% 1.87/2.27  'class_OrderedGroup_Osemigroup__mult'  [246, 1]      (w:1, o:204, a:1, s:1
% 1.87/2.27    , b:0), 
% 1.87/2.27  'class_OrderedGroup_Oab__semigroup__mult'  [247, 1]      (w:1, o:205, a:1
% 1.87/2.27    , s:1, b:0), 
% 1.87/2.27  'tc_Product__Type_Ounit'  [248, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 1.87/2.27  'tc_bool'  [249, 0]      (w:1, o:81, a:1, s:1, b:0), 
% 1.87/2.27  'tc_fun'  [251, 2]      (w:1, o:285, a:1, s:1, b:0), 
% 1.87/2.27  'class_Wellfounded__Recursion_Owellorder'  [252, 1]      (w:1, o:208, a:1
% 1.87/2.27    , s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Odivision__by__zero'  [254, 1]      (w:1, o:209, a:
% 1.87/2.27    1, s:1, b:0), 
% 1.87/2.27  'class_HOL_Oinverse'  [255, 1]      (w:1, o:210, a:1, s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Ofield'  [256, 1]      (w:1, o:211, a:1, s:1, b:0)
% 1.87/2.27    , 
% 1.87/2.27  'class_Ring__and__Field_Oordered__field'  [257, 1]      (w:1, o:188, a:1
% 1.87/2.27    , s:1, b:0), 
% 1.87/2.27  'class_Ring__and__Field_Opordered__comm__ring'  [258, 1]      (w:1, o:192
% 1.87/2.27    , a:1, s:1, b:0), 
% 1.87/2.27  'c_Datatype_Oo2s'  [260, 2]      (w:1, o:286, a:1, s:1, b:0), 
% 1.87/2.27  'c_Datatype_Ooption_OSome'  [261, 2]      (w:1, o:287, a:1, s:1, b:0), 
% 1.87/2.27  'c_Datatype_Ooption_ONone'  [262, 0]      (w:1, o:84, a:1, s:1, b:0), 
% 1.87/2.27  'c_Main_Onot__None__eq__iff1__1'  [263, 2]      (w:1, o:272, a:1, s:1, b:0)
% 1.87/2.27    , 
% 1.87/2.27  'c_Main_Onot__Some__eq__iff1__1'  [264, 2]      (w:1, o:273, a:1, s:1, b:0)
% 1.87/2.27    , 
% 1.87/2.27  'c_Datatype__Universe_OAtom'  [266, 3]      (w:1, o:321, a:1, s:1, b:0), 
% 1.87/2.27  'c_Equiv__Relations_Oquotient'  [267, 3]      (w:1, o:322, a:1, s:1, b:0), 
% 1.87/2.27    
% 1.87/2.27  'c_Extraction_Osumbool_OLeft'  [268, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 1.87/2.27  'c_Extraction_Osumbool_ORight'  [269, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 1.87/2.27  'c_minus'  [270, 3]      (w:1, o:323, a:1, s:1, b:0), 
% 1.87/2.27  'c_Pow'  [271, 2]      (w:1, o:288, a:1, s:1, b:0), 
% 1.87/2.27  'c_union'  [272, 3]      (w:1, o:324, a:1, s:1, b:0), 
% 1.87/2.27  'c_append'  [274, 3]      (w:1, o:325, a:1, s:1, b:0), 
% 1.87/2.27  'c_List_Orev'  [275, 2]      (w:1, o:255, a:1, s:1, b:0), 
% 1.87/2.27  'c_List_Ochar_OChar'  [279, 2]      (w:1, o:253, a:1, s:1, b:0), 
% 1.87/2.27  'c_plus'  [284, 3]      (w:1, o:326, a:1, s:1, b:0), 
% 1.87/2.27  'c_Numeral_Obit_OB0'  [287, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 1.87/2.27  'c_Numeral_Obit_OB1'  [288, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 1.87/2.27  'c_SetInterval_OatLeast'  [290, 2]      (w:1, o:263, a:1, s:1, b:0), 
% 2.37/2.74  'c_SetInterval_OgreaterThan'  [291, 2]      (w:1, o:264, a:1, s:1, b:0), 
% 2.37/2.74  'c_Wellfounded__Recursion_Oacyclic'  [293, 2]      (w:1, o:289, a:1, s:1
% 2.37/2.74    , b:0), 
% 2.37/2.74  'c_Message_Oagent_OServer'  [294, 0]      (w:1, o:92, a:1, s:1, b:0), 
% 2.37/2.74  'c_Event_Obad'  [295, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 2.37/2.74  'tc_Message_Oagent'  [296, 0]      (w:1, o:98, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Oagent_OSpy'  [297, 0]      (w:1, o:93, a:1, s:1, b:0), 
% 2.37/2.74  'c_Event_Oknows'  [299, 2]      (w:1, o:290, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Oparts'  [300, 1]      (w:1, o:212, a:1, s:1, b:0), 
% 2.37/2.74  'tc_Message_Omsg'  [301, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 2.37/2.74  'c_Event_Oused'  [302, 1]      (w:1, o:213, a:1, s:1, b:0), 
% 2.37/2.74  'c_Event_Oevent_OSays'  [306, 3]      (w:1, o:327, a:1, s:1, b:0), 
% 2.37/2.74  'c_Event_Oevent_OGets'  [309, 2]      (w:1, o:291, a:1, s:1, b:0), 
% 2.37/2.74  'c_Event_Oevent_ONotes'  [310, 2]      (w:1, o:292, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Omsg_OCrypt'  [315, 2]      (w:1, o:274, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Osynth'  [317, 1]      (w:1, o:214, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Omsg_OKey'  [318, 1]      (w:1, o:215, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_OHPair'  [320, 2]      (w:1, o:275, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Omsg_OMPair'  [323, 2]      (w:1, o:276, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Omsg_OHash'  [324, 1]      (w:1, o:216, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Omsg_OAgent'  [325, 1]      (w:1, o:217, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Omsg_ONonce'  [326, 1]      (w:1, o:218, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Omsg_ONumber'  [327, 1]      (w:1, o:219, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Oanalz'  [329, 1]      (w:1, o:220, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_Oagent_OFriend'  [331, 1]      (w:1, o:221, a:1, s:1, b:0), 
% 2.37/2.74  'tc_Event_Oevent'  [338, 0]      (w:1, o:109, a:1, s:1, b:0), 
% 2.37/2.74  'c_Message_OinvKey'  [339, 1]      (w:1, o:222, a:1, s:1, b:0), 
% 2.37/2.74  'c_OtwayRees_Ootway'  [340, 0]      (w:1, o:110, a:1, s:1, b:0), 
% 2.37/2.74  'v_sko__usf'  [341, 3]      (w:1, o:328, a:1, s:1, b:0), 
% 2.37/2.74  'c_Public_OshrK'  [342, 1]      (w:1, o:223, a:1, s:1, b:0), 
% 2.37/2.74  'c_Event_OinitState'  [346, 1]      (w:1, o:224, a:1, s:1, b:0), 
% 2.37/2.74  'c_Public_OpublicKey'  [347, 2]      (w:1, o:293, a:1, s:1, b:0), 
% 2.37/2.74  'c_Public_Okeymode_OSignature'  [348, 0]      (w:1, o:113, a:1, s:1, b:0), 
% 2.37/2.74    
% 2.37/2.74  'c_Public_Okeymode_OEncryption'  [349, 0]      (w:1, o:114, a:1, s:1, b:0)
% 2.37/2.74    , 
% 2.37/2.74  'c_Message_OsymKeys'  [350, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 2.37/2.74  'v_sko__u__1'  [352, 5]      (w:1, o:362, a:1, s:1, b:0), 
% 2.37/2.74  'v_B'  [354, 0]      (w:1, o:119, a:1, s:1, b:0), 
% 2.37/2.74  'v_evs2'  [355, 0]      (w:1, o:120, a:1, s:1, b:0), 
% 2.37/2.74  'v_NBa'  [356, 0]      (w:1, o:123, a:1, s:1, b:0), 
% 2.37/2.74  'v_Ba'  [357, 0]      (w:1, o:124, a:1, s:1, b:0), 
% 2.37/2.74  'v_NAa'  [358, 0]      (w:1, o:121, a:1, s:1, b:0), 
% 2.37/2.74  'v_Aa'  [359, 0]      (w:1, o:117, a:1, s:1, b:0), 
% 2.37/2.74  'v_X'  [360, 0]      (w:1, o:125, a:1, s:1, b:0), 
% 2.37/2.74  'v_NA'  [361, 0]      (w:1, o:122, a:1, s:1, b:0), 
% 2.37/2.74  'v_A'  [362, 0]      (w:1, o:118, a:1, s:1, b:0), 
% 2.37/2.74  'v_K'  [363, 0]      (w:1, o:126, a:1, s:1, b:0), 
% 2.37/2.74  'v_NB'  [364, 0]      (w:1, o:127, a:1, s:1, b:0), 
% 2.37/2.74  'v_x'  [365, 0]      (w:1, o:128, a:1, s:1, b:0).
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Starting Search:
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Intermediate Status:
% 2.37/2.74  Generated:    3734
% 2.37/2.74  Kept:         2008
% 2.37/2.74  Inuse:        91
% 2.37/2.74  Deleted:      0
% 2.37/2.74  Deletedinuse: 0
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Intermediate Status:
% 2.37/2.74  Generated:    9671
% 2.37/2.74  Kept:         4118
% 2.37/2.74  Inuse:        276
% 2.37/2.74  Deleted:      0
% 2.37/2.74  Deletedinuse: 0
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Intermediate Status:
% 2.37/2.74  Generated:    15567
% 2.37/2.74  Kept:         7146
% 2.37/2.74  Inuse:        496
% 2.37/2.74  Deleted:      0
% 2.37/2.74  Deletedinuse: 0
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Intermediate Status:
% 2.37/2.74  Generated:    20308
% 2.37/2.74  Kept:         9197
% 2.37/2.74  Inuse:        529
% 2.37/2.74  Deleted:      2
% 2.37/2.74  Deletedinuse: 0
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Intermediate Status:
% 2.37/2.74  Generated:    29213
% 2.37/2.74  Kept:         11341
% 2.37/2.74  Inuse:        1179
% 2.37/2.74  Deleted:      2
% 2.37/2.74  Deletedinuse: 0
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Intermediate Status:
% 2.37/2.74  Generated:    35322
% 2.37/2.74  Kept:         13991
% 2.37/2.74  Inuse:        1199
% 2.37/2.74  Deleted:      2
% 2.37/2.74  Deletedinuse: 0
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Intermediate Status:
% 2.37/2.74  Generated:    42357
% 2.37/2.74  Kept:         16089
% 2.37/2.74  Inuse:        1214
% 2.37/2.74  Deleted:      2
% 2.37/2.74  Deletedinuse: 0
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Intermediate Status:
% 2.37/2.74  Generated:    52268
% 2.37/2.74  Kept:         18296
% 2.37/2.74  Inuse:        1244
% 2.37/2.74  Deleted:      2
% 2.37/2.74  Deletedinuse: 0
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  Intermediate Status:
% 2.37/2.74  Generated:    58128
% 2.37/2.74  Kept:         20723
% 2.37/2.74  Inuse:        1259
% 2.37/2.74  Deleted:      3
% 2.37/2.74  Deletedinuse: 1
% 2.37/2.74  
% 2.37/2.74  Resimplifying inuse:
% 2.37/2.74  Done
% 2.37/2.74  
% 2.37/2.74  Resimplifying clauses:
% 2.37/2.74  
% 2.37/2.74  Bliksems!, er is een bewijs:
% 2.37/2.74  % SZS status Unsatisfiable
% 2.37/2.74  % SZS output start Refutation
% 2.37/2.74  
% 2.37/2.74  clause( 1429, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 2.37/2.74    , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 
% 2.37/2.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ), 
% 2.37/2.74    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.74    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.74    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 2.37/2.74  .
% 2.37/2.74  clause( 1430, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 
% 2.37/2.74    'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ), 
% 2.37/2.74    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 2.37/2.74    'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 2.37/2.74    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.74    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 
% 2.37/2.74    'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 2.37/2.74  .
% 2.37/2.74  clause( 1431, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 2.37/2.74    'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.74    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 2.37/2.74     ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.74    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.74    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.74    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 2.37/2.74     )
% 2.37/2.74  .
% 2.37/2.74  clause( 20727, [] )
% 2.37/2.74  .
% 2.37/2.74  
% 2.37/2.74  
% 2.37/2.74  % SZS output end Refutation
% 2.37/2.74  found a proof!
% 2.37/2.74  
% 2.37/2.74  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.37/2.74  
% 2.37/2.74  initialclauses(
% 2.37/2.74  [ clause( 20729, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 2.37/2.74    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 2.37/2.74  , clause( 20730, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 2.37/2.74    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 2.37/2.74  , clause( 20731, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 2.37/2.74     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 2.37/2.74    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 2.37/2.74    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 2.37/2.74    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 2.37/2.74    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 2.37/2.74  , clause( 20732, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 2.37/2.74     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 2.37/2.74    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 2.37/2.74     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 2.37/2.74  , clause( 20733, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 2.37/2.74     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 2.37/2.74    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 2.37/2.74     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 2.37/2.74  , clause( 20734, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 2.37/2.74    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 2.37/2.74    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 2.37/2.74    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 2.37/2.74    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 2.37/2.74     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 2.37/2.74  , clause( 20735, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 2.37/2.74    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 2.37/2.74    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 2.37/2.74    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 2.37/2.74    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 2.37/2.74    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 2.37/2.74  , clause( 20736, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 2.37/2.74    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 2.37/2.74    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 2.37/2.74    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 2.37/2.74    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 2.37/2.74  , clause( 20737, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 2.37/2.74    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 2.37/2.74    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 2.37/2.74    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 2.37/2.74    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 2.37/2.74  , clause( 20738, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 2.37/2.74    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 2.37/2.74    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 2.37/2.74    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 2.37/2.74    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 2.37/2.74  , clause( 20739, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 2.37/2.74    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 2.37/2.74    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 2.37/2.74    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 2.37/2.74     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 2.37/2.74  , clause( 20740, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 2.37/2.74    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 2.37/2.74    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 2.37/2.74    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 2.37/2.74     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 2.37/2.74  , clause( 20741, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 2.37/2.74     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 2.37/2.74    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 2.37/2.74    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 2.37/2.74  , clause( 20742, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 2.37/2.74     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 2.37/2.74    'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'( 
% 2.37/2.74    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 2.37/2.74  , clause( 20743, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 2.37/2.74     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 2.37/2.75    'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'( 
% 2.37/2.75    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 2.37/2.75  , clause( 20744, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 2.37/2.75    Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 2.37/2.75    , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 2.37/2.75    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 2.37/2.75    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 2.37/2.75  , clause( 20745, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 2.37/2.75    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 2.37/2.75    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 2.37/2.75    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 2.37/2.75     ) ) ] )
% 2.37/2.75  , clause( 20746, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 2.37/2.75    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 2.37/2.75    'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 2.37/2.75    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 2.37/2.75    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20747, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 2.37/2.75    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 2.37/2.75    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 2.37/2.75    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 2.37/2.75    'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20748, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 2.37/2.75    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 2.37/2.75    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 2.37/2.75    'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 2.37/2.75    , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 2.37/2.75  , clause( 20749, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 2.37/2.75    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 2.37/2.75    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 2.37/2.75    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 2.37/2.75  , clause( 20750, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 2.37/2.75    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 2.37/2.75    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 2.37/2.75    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 2.37/2.75  , clause( 20751, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20752, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20753, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20754, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20755, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 2.37/2.75    , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20756, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( 
% 2.37/2.75    X ) ) ] )
% 2.37/2.75  , clause( 20757, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 2.37/2.75     ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 2.37/2.75     ) ) ] )
% 2.37/2.75  , clause( 20758, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 2.37/2.75     ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20759, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 2.37/2.75     ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20760, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 2.37/2.75    'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 
% 2.37/2.75    'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 
% 2.37/2.75    'tc_set'( Y ) ) ] )
% 2.37/2.75  , clause( 20761, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 2.37/2.75    'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 2.37/2.75  , clause( 20762, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 2.37/2.75    'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20763, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 2.37/2.75    'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20764, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( 
% 2.37/2.75    Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 2.37/2.75  , clause( 20765, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 
% 2.37/2.75    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20766, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 2.37/2.75    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20767, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20768, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20769, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 
% 2.37/2.75    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20770, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 
% 2.37/2.75    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20771, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 
% 2.37/2.75    'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 
% 2.37/2.75    'tc_IntDef_Oint' ) ) ] )
% 2.37/2.75  , clause( 20772, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 2.37/2.75  , clause( 20773, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 2.37/2.75    , 'tc_set'( Y ) ) ] )
% 2.37/2.75  , clause( 20774, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 2.37/2.75    Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20775, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 2.37/2.75     ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20776, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 2.37/2.75    , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 2.37/2.75  , clause( 20777, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 2.37/2.75    , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20778, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 2.37/2.75    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 2.37/2.75    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 2.37/2.75    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 2.37/2.75    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 2.37/2.75  , clause( 20779, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 2.37/2.75    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 2.37/2.75    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 2.37/2.75    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 2.37/2.75    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 2.37/2.75    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 2.37/2.75  , clause( 20780, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 2.37/2.75    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 2.37/2.75    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 2.37/2.75    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 2.37/2.75    'tc_prod'( Z, Z ) ) ] )
% 2.37/2.75  , clause( 20781, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 2.37/2.75    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 2.37/2.75    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 2.37/2.75    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 2.37/2.75    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 2.37/2.75  , clause( 20782, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 2.37/2.75    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 2.37/2.75    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 2.37/2.75    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 2.37/2.75    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 2.37/2.75    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 2.37/2.75  , clause( 20783, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 2.37/2.75    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 2.37/2.75    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 2.37/2.75    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 2.37/2.75    'tc_prod'( T, T ) ) ] )
% 2.37/2.75  , clause( 20784, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 2.37/2.75    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 2.37/2.75    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 2.37/2.75    'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 20785, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 2.37/2.75    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 2.37/2.75    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 2.37/2.75    'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 20786, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 2.37/2.75    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 
% 2.37/2.75    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 2.37/2.75  , clause( 20787, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 2.37/2.75    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 2.37/2.75  , clause( 20788, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 2.37/2.75    , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 2.37/2.75    , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 2.37/2.75  , clause( 20789, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 
% 2.37/2.75    'tc_List_Olist'( Y ) ) ] )
% 2.37/2.75  , clause( 20790, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 2.37/2.75    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 2.37/2.75    Y ) ) ] )
% 2.37/2.75  , clause( 20791, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 2.37/2.75    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 2.37/2.75     ) ) ] )
% 2.37/2.75  , clause( 20792, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20793, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20794, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 20795, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20796, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 2.37/2.75    , X ) ] )
% 2.37/2.75  , clause( 20797, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 
% 2.37/2.75    'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 
% 2.37/2.75    'tc_prod'( Z, T ) ) ] )
% 2.37/2.75  , clause( 20798, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 2.37/2.75     ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 2.37/2.75  , clause( 20799, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), 
% 2.37/2.75    =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 2.37/2.75     ) ) ] )
% 2.37/2.75  , clause( 20800, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 2.37/2.75    'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 2.37/2.75  , clause( 20801, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 2.37/2.75    'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 
% 2.37/2.75    'tc_prod'( T, U ) ) ] )
% 2.37/2.75  , clause( 20802, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 2.37/2.75     ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 2.37/2.75     ), U ) ] )
% 2.37/2.75  , clause( 20803, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 
% 2.37/2.75    'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 
% 2.37/2.75    'tc_prod'( Z, T ) ) ] )
% 2.37/2.75  , clause( 20804, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 2.37/2.75     ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 2.37/2.75  , clause( 20805, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 2.37/2.75    'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 2.37/2.75    , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20806, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 2.37/2.75    'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 2.37/2.75     ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 2.37/2.75  , clause( 20807, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 2.37/2.75    Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 
% 2.37/2.75    'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 2.37/2.75  , clause( 20808, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 2.37/2.75    Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 2.37/2.75  , clause( 20809, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 2.37/2.75    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 2.37/2.75  , clause( 20810, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 2.37/2.75    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 2.37/2.75    , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 
% 2.37/2.75    'tc_prod'( T, U ) ) ] )
% 2.37/2.75  , clause( 20811, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 2.37/2.75    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 2.37/2.75    , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 
% 2.37/2.75    'tc_prod'( W, T ) ) ] )
% 2.37/2.75  , clause( 20812, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 2.37/2.75    'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, 
% 2.37/2.75    T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 2.37/2.75  , clause( 20813, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 2.37/2.75     ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 
% 2.37/2.75    'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 2.37/2.75     ), 'tc_prod'( V0, T ) ) ] )
% 2.37/2.75  , clause( 20814, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 2.37/2.75    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 20815, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 2.37/2.75    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 2.37/2.75     ) ) ] )
% 2.37/2.75  , clause( 20816, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 2.37/2.75     ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 20817, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 2.37/2.75    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 2.37/2.75     ) ) ] )
% 2.37/2.75  , clause( 20818, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 20819, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 2.37/2.75    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 20820, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 2.37/2.75    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 2.37/2.75     ) ) ] )
% 2.37/2.75  , clause( 20821, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 2.37/2.75    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 20822, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 2.37/2.75    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 2.37/2.75     ) ) ] )
% 2.37/2.75  , clause( 20823, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 20824, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 
% 2.37/2.75    'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 20825, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 
% 2.37/2.75    'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 2.37/2.75  , clause( 20826, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 2.37/2.75  , clause( 20827, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 2.37/2.75    'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 20828, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 2.37/2.75    'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 2.37/2.75  , clause( 20829, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 2.37/2.75  , clause( 20830, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 
% 2.37/2.75    Y, X, 'tc_set'( Z ) ) ) ] )
% 2.37/2.75  , clause( 20831, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 2.37/2.75    , Y, 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 20832, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 2.37/2.75    , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 2.37/2.75  , clause( 20833, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), 
% 2.37/2.75    =( X, Y ) ] )
% 2.37/2.75  , clause( 20834, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 2.37/2.75  , clause( 20835, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 
% 2.37/2.75    'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 2.37/2.75  , clause( 20836, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 
% 2.37/2.75    'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 2.37/2.75  , clause( 20837, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 2.37/2.75    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 20838, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 2.37/2.75    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 20839, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 2.37/2.75    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 2.37/2.75  , clause( 20840, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 2.37/2.75  , clause( 20841, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 2.37/2.75    , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 2.37/2.75  , clause( 20842, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 2.37/2.75    , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 2.37/2.75  , clause( 20843, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 2.37/2.75    'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 2.37/2.75    , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 2.37/2.75    , T ), U, T ) ) ] )
% 2.37/2.75  , clause( 20844, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 2.37/2.75    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), 
% 2.37/2.75    =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 2.37/2.75  , clause( 20845, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 2.37/2.75    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 2.37/2.75    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 2.37/2.75  , clause( 20846, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 2.37/2.75    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 2.37/2.75    'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 2.37/2.75  , clause( 20847, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 2.37/2.75    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 2.37/2.75  , clause( 20848, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 2.37/2.75    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 2.37/2.75  , clause( 20849, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 2.37/2.75     ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 2.37/2.75    , Z ), 'tc_prod'( Z, Z ) ) ] )
% 2.37/2.75  , clause( 20850, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 2.37/2.75    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 2.37/2.75    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 2.37/2.75    'tc_prod'( Z, Z ) ) ] )
% 2.37/2.75  , clause( 20851, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 2.37/2.75  , clause( 20852, [ 'c_Relation_Otrans'( 
% 2.37/2.75    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20853, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( 
% 2.37/2.75    Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, 
% 2.37/2.75    X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 2.37/2.75  , clause( 20854, [ 'c_Wellfounded__Recursion_Owf'( 
% 2.37/2.75    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20855, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 2.37/2.75    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 2.37/2.75    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20856, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 2.37/2.75     ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 2.37/2.75  , clause( 20857, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20858, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20859, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20860, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20861, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20862, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20863, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20864, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20865, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20866, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20867, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20868, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20869, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20870, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20871, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20872, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20873, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20874, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20875, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20876, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20877, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20878, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20879, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20880, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20881, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20882, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20883, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20884, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20885, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20886, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20887, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20888, [ 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20889, [ 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20890, [ 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20891, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20892, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20893, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20894, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20895, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20896, [ 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20897, [ 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20898, [ 'class_Ring__and__Field_Oaxclass__abs__if'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20899, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20900, [ 'class_OrderedGroup_Olordered__ab__group'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20901, [ 'class_Ring__and__Field_Opordered__ring'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20902, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20903, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20904, [ 'class_OrderedGroup_Olordered__ab__group__meet'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20905, [ 'class_OrderedGroup_Olordered__ab__group__join'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20906, [ 'class_Ring__and__Field_Olordered__ring'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20907, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20908, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20909, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20910, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20911, [ 'class_Ring__and__Field_Oordered__idom'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20912, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20913, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20914, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20915, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20916, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20917, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20918, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20919, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20920, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20921, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 20922, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20923, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 2.37/2.75  , clause( 20924, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 2.37/2.75    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20925, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 2.37/2.75  , clause( 20926, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20927, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20928, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20929, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20930, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20931, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20932, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20933, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20934, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20935, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20936, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20937, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20938, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20939, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20940, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20941, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20942, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20943, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20944, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20945, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20946, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20947, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20948, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20949, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20950, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 20951, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20952, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20953, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20954, [ 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20955, [ 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20956, [ 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20957, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20958, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20959, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20960, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20961, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 20962, [ 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20963, [ 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20964, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20965, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20966, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20967, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20968, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20969, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20970, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20971, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20972, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 20973, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 2.37/2.75  , clause( 20974, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 2.37/2.75    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20975, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 2.37/2.75  , clause( 20976, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 2.37/2.75  , clause( 20977, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 2.37/2.75  , clause( 20978, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 2.37/2.75    'class_Finite__Set_Ofinite'( X ) ) ] )
% 2.37/2.75  , clause( 20979, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 2.37/2.75  , clause( 20980, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 2.37/2.75    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 20981, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 20982, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 20983, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 20984, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( 
% 2.37/2.75    X ) ] )
% 2.37/2.75  , clause( 20985, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 20986, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 20987, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 20988, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 20989, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 20990, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 20991, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 20992, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 20993, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 20994, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 20995, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 20996, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 20997, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 20998, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 20999, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21000, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 2.37/2.75  , clause( 21001, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21002, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21003, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21004, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21005, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21006, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21007, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 2.37/2.75  , clause( 21008, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21009, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring__1'( X ) ] )
% 2.37/2.75  , clause( 21010, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21011, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 2.37/2.75  , clause( 21012, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21013, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Numeral_Onumber'( X ) ] )
% 2.37/2.75  , clause( 21014, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21015, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21016, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21017, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21018, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21019, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21020, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21021, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21022, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21023, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21024, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21025, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21026, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21027, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21028, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21029, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21030, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21031, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21032, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21033, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21034, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 2.37/2.75     ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21035, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21036, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21037, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21038, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21039, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21040, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21041, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21042, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21043, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21044, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21045, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21046, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21047, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21048, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21049, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21050, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21051, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21052, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21053, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21054, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21055, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21056, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21057, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21058, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21059, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21060, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21061, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21062, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21063, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21064, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21065, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 2.37/2.75  , clause( 21066, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21067, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21068, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21069, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21070, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21071, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21072, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21073, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21074, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21075, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21076, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21077, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21078, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21079, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21080, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21081, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21082, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21083, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21084, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21085, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21086, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21087, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21088, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21089, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21090, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21091, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21092, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 2.37/2.75  , clause( 21093, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21094, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21095, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21096, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21097, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21098, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21099, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21100, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21101, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21102, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 2.37/2.75     ), 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21103, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21104, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21105, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21106, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21107, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21108, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21109, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21110, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21111, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 2.37/2.75  , clause( 21112, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21113, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21114, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21115, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21116, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21117, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21118, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21119, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21120, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21121, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 2.37/2.75     ), 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21122, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21123, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21124, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21125, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21126, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21127, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21128, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21129, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21130, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21131, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21132, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21133, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21134, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21135, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21136, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21137, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21138, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_Orderings_Olinorder'( X ) ] )
% 2.37/2.75  , clause( 21139, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21140, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21141, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21142, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21143, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21144, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21145, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21146, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21147, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21148, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21149, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21150, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21151, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21152, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21153, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 2.37/2.75     ) ), 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21154, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 2.37/2.75     ) ), 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21155, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 2.37/2.75     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21156, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 2.37/2.75     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21157, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 2.37/2.75     ) ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21158, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21159, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21160, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21161, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21162, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21163, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21164, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21165, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21166, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21167, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21168, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21169, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21170, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21171, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21172, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21173, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21174, [ ~( 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21175, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21176, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21177, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 2.37/2.75    'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21178, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21179, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21180, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21181, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21182, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21183, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21184, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21185, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21186, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21187, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21188, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21189, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21190, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21191, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21192, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21193, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 2.37/2.75  , clause( 21194, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21195, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 21196, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21197, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21198, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21199, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21200, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21201, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21202, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21203, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21204, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21205, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21206, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21207, [ ~( 'class_Power_Orecpower'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21208, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21209, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21210, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21211, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21212, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21213, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 2.37/2.75    X ) ), 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21214, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 2.37/2.75    X ) ), 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21215, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21216, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21217, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21218, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21219, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21220, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21221, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21222, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21223, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21224, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21225, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21226, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21227, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21228, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21229, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21230, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21231, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21232, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21233, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21234, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 2.37/2.75  , clause( 21235, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21236, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21237, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21238, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21239, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21240, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21241, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21242, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21243, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21244, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21245, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21246, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21247, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 2.37/2.75  , clause( 21248, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21249, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21250, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21251, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21252, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21253, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring__1'( X ) ] )
% 2.37/2.75  , clause( 21254, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21255, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21256, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21257, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21258, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21259, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21260, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21261, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21262, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21263, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21264, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21265, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21266, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21267, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21268, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21269, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21270, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21271, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21272, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21273, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21274, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21275, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21276, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21277, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21278, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21279, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21280, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21281, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21282, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21283, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21284, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21285, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21286, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21287, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21288, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21289, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21290, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21291, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21292, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21293, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21294, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21295, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21296, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21297, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21298, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21299, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21300, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21301, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21302, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21303, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21304, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21305, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21306, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21307, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21308, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21309, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21310, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21311, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21312, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21313, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 2.37/2.75  , clause( 21314, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21315, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21316, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21317, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21318, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21319, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21320, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21321, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21322, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21323, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21324, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21325, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21326, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21327, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21328, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21329, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21330, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21331, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21332, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21333, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21334, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21335, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21336, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21337, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 2.37/2.75    'class_HOL_Oinverse'( X ) ] )
% 2.37/2.75  , clause( 21338, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 2.37/2.75  , clause( 21339, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 2.37/2.75  , clause( 21340, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21341, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21342, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21343, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21344, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21345, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21346, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21347, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21348, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21349, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21350, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring__1'( X ) ] )
% 2.37/2.75  , clause( 21351, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21352, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21353, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21354, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21355, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21356, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21357, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21358, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21359, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21360, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21361, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21362, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_HOL_Oinverse'( X ) ] )
% 2.37/2.75  , clause( 21363, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oidom'( X ) ] )
% 2.37/2.75  , clause( 21364, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 2.37/2.75  , clause( 21365, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21366, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21367, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21368, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 2.37/2.75  , clause( 21369, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21370, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21371, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 2.37/2.75  , clause( 21372, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 2.37/2.75  , clause( 21373, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21374, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21375, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21376, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21377, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21378, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21379, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21380, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21381, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21382, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21383, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring__1'( X ) ] )
% 2.37/2.75  , clause( 21384, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21385, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21386, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21387, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21388, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21389, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21390, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21391, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21392, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21393, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21394, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21395, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 2.37/2.75  , clause( 21396, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21397, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21398, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21399, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 2.37/2.75  , clause( 21400, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21401, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21402, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 2.37/2.75  , clause( 21403, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21404, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21405, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21406, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21407, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21408, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21409, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21410, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21411, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21412, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21413, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21414, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21415, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21416, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21417, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21418, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21419, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 2.37/2.75  , clause( 21420, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 2.37/2.75  , clause( 21421, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21422, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21423, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21424, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 2.37/2.75  , clause( 21425, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21426, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 2.37/2.75  , clause( 21427, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21428, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21429, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21430, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 2.37/2.75  , clause( 21431, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21432, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21433, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21434, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21435, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21436, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21437, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21438, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Orderings_Olinorder'( X ) ] )
% 2.37/2.75  , clause( 21439, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21440, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21441, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21442, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21443, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21444, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21445, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21446, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21447, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21448, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21449, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21450, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 2.37/2.75  , clause( 21451, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 2.37/2.75  , clause( 21452, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21453, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21454, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21455, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21456, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21457, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21458, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21459, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21460, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21461, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21462, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21463, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ofield'( X ) ] )
% 2.37/2.75  , clause( 21464, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_HOL_Oinverse'( X ) ] )
% 2.37/2.75  , clause( 21465, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 2.37/2.75  , clause( 21466, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21467, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21468, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21469, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21470, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21471, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21472, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21473, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21474, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21475, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oidom'( X ) ] )
% 2.37/2.75  , clause( 21476, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21477, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21478, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21479, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21480, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21481, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21482, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21483, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21484, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21485, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21486, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 2.37/2.75  , clause( 21487, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21488, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 2.37/2.75  , clause( 21489, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21490, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21491, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 2.37/2.75  , clause( 21492, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 2.37/2.75  , clause( 21493, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21494, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21495, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 2.37/2.75  , clause( 21496, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 2.37/2.75  , clause( 21497, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 2.37/2.75  , clause( 21498, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21499, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Orderings_Olinorder'( X ) ] )
% 2.37/2.75  , clause( 21500, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 2.37/2.75  , clause( 21501, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 2.37/2.75  , clause( 21502, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 2.37/2.75  , clause( 21503, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 2.37/2.75  , clause( 21504, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21505, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 2.37/2.75  , clause( 21506, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 2.37/2.75  , clause( 21507, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 2.37/2.75  , clause( 21508, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring__1'( X ) ] )
% 2.37/2.75  , clause( 21509, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 2.37/2.75  , clause( 21510, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21511, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21512, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21513, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21514, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21515, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21516, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21517, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21518, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21519, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21520, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 2.37/2.75  , clause( 21521, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21522, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21523, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21524, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 2.37/2.75  , clause( 21525, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 2.37/2.75  , clause( 21526, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21527, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21528, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21529, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21530, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21531, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21532, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21533, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21534, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21535, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21536, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring__1'( X ) ] )
% 2.37/2.75  , clause( 21537, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21538, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21539, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21540, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21541, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21542, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21543, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21544, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21545, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21546, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21547, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21548, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 2.37/2.75  , clause( 21549, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 2.37/2.75  , clause( 21550, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21551, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Orderings_Olinorder'( X ) ] )
% 2.37/2.75  , clause( 21552, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21553, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21554, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21555, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21556, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21557, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21558, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21559, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 2.37/2.75  , clause( 21560, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21561, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21562, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21563, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21564, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21565, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 2.37/2.75  , clause( 21566, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 2.37/2.75  , clause( 21567, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 2.37/2.75  , clause( 21568, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 2.37/2.75  , clause( 21569, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21570, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 2.37/2.75  , clause( 21571, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 2.37/2.75  , clause( 21572, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 2.37/2.75  , clause( 21573, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 2.37/2.75  , clause( 21574, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21575, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 2.37/2.75  , clause( 21576, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 2.37/2.75  , clause( 21577, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oidom'( X ) ] )
% 2.37/2.75  , clause( 21578, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21579, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 2.37/2.75  , clause( 21580, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21581, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21582, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21583, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21584, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21585, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21586, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21587, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21588, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21589, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 2.37/2.75  , clause( 21590, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21591, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Orderings_Olinorder'( X ) ] )
% 2.37/2.75  , clause( 21592, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21593, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21594, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21595, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21596, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21597, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21598, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 2.37/2.75  , clause( 21599, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21600, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21601, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21602, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21603, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 2.37/2.75  , clause( 21604, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 2.37/2.75  , clause( 21605, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21606, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21607, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 2.37/2.75  , clause( 21608, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 2.37/2.75  , clause( 21609, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 2.37/2.75  , clause( 21610, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 2.37/2.75  , clause( 21611, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 2.37/2.75  , clause( 21612, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 2.37/2.75  , clause( 21613, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21614, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21615, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21616, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21617, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21618, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.37/2.75     ), 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21619, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21620, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 2.37/2.75  , clause( 21621, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21622, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21623, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21624, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21625, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21626, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21627, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21628, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21629, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21630, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21631, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21632, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21633, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21634, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21635, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21636, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 2.37/2.75  , clause( 21637, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 2.37/2.75  , clause( 21638, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21639, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Orderings_Olinorder'( X ) ] )
% 2.37/2.75  , clause( 21640, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21641, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21642, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21643, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21644, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21645, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21646, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21647, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 2.37/2.75  , clause( 21648, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21649, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21650, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21651, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21652, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21653, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21654, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21655, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21656, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21657, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21658, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21659, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21660, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21661, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 2.37/2.75  , clause( 21662, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21663, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21664, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21665, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 21666, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 21667, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21668, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21669, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21670, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21671, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21672, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21673, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21674, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 2.37/2.75  , clause( 21675, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21676, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21677, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21678, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21679, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21680, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21681, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21682, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 21683, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21684, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21685, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21686, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21687, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21688, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21689, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21690, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21691, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21692, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21693, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21694, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 2.37/2.75  , clause( 21695, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21696, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21697, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21698, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21699, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21700, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21701, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21702, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21703, [ ~( 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21704, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21705, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21706, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21707, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21708, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21709, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21710, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21711, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21712, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21713, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21714, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21715, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21716, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21717, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21718, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21719, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 2.37/2.75    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21720, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 2.37/2.75  , clause( 21721, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21722, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21723, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21724, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21725, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21726, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21727, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21728, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21729, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21730, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21731, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21732, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21733, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21734, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21735, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21736, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21737, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21738, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21739, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21740, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21741, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21742, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21743, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21744, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21745, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 2.37/2.75  , clause( 21746, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 2.37/2.75  , clause( 21747, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21748, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21749, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21750, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21751, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21752, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21753, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21754, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21755, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21756, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21757, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21758, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21759, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21760, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 2.37/2.75     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21761, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21762, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21763, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21764, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21765, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21766, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21767, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21768, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 2.37/2.75  , clause( 21769, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21770, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21771, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21772, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21773, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21774, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 2.37/2.75  , clause( 21775, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21776, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 2.37/2.75  , clause( 21777, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21778, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21779, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21780, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21781, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21782, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21783, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21784, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21785, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21786, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21787, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21788, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21789, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21790, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21791, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21792, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21793, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21794, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21795, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21796, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21797, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21798, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21799, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21800, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21801, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21802, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21803, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21804, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21805, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21806, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21807, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21808, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21809, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21810, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oring'( X ) ] )
% 2.37/2.75  , clause( 21811, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 2.37/2.75  , clause( 21812, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21813, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21814, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21815, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21816, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21817, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21818, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21819, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21820, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21821, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 2.37/2.75  , clause( 21822, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Ominus'( X ) ] )
% 2.37/2.75  , clause( 21823, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21824, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21825, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21826, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21827, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21828, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21829, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21830, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21831, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21832, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21833, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21834, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21835, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21836, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21837, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21838, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21839, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21840, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21841, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21842, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21843, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21844, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21845, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21846, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21847, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21848, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21849, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21850, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21851, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21852, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21853, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21854, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21855, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21856, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21857, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21858, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21859, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21860, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21861, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21862, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21863, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21864, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21865, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 2.37/2.75    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21866, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 2.37/2.75  , clause( 21867, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 2.37/2.75  , clause( 21868, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_HOL_Oone'( X ) ] )
% 2.37/2.75  , clause( 21869, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 2.37/2.75  , clause( 21870, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_HOL_Otimes'( X ) ] )
% 2.37/2.75  , clause( 21871, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21872, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21873, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 2.37/2.75  , clause( 21874, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 2.37/2.75  , clause( 21875, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 2.37/2.75  , clause( 21876, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 2.37/2.75  , clause( 21877, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_HOL_Ozero'( X ) ] )
% 2.37/2.75  , clause( 21878, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21879, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 2.37/2.75  , clause( 21880, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_HOL_Oplus'( X ) ] )
% 2.37/2.75  , clause( 21881, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 2.37/2.75    , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 2.37/2.75  , clause( 21882, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oord'( X ) ] )
% 2.37/2.75  , clause( 21883, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Oorder'( X ) ] )
% 2.37/2.75  , clause( 21884, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 2.37/2.75    'class_LOrder_Omeet__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21885, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 2.37/2.75    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 2.37/2.75  , clause( 21886, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 2.37/2.75    'class_LOrder_Olorder'( X ) ] )
% 2.37/2.75  , clause( 21887, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 2.37/2.75    'class_Orderings_Olinorder'( X ) ] )
% 2.37/2.75  , clause( 21888, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 2.37/2.75    'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 2.37/2.75  , clause( 21889, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( 
% 2.37/2.75    X, Y ), Y ), Y ) ] )
% 2.37/2.75  , clause( 21890, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 2.37/2.75    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21891, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 2.37/2.75    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21892, [ ~( =( 'c_Datatype_Ooption_ONone', 
% 2.37/2.75    'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 2.37/2.75  , clause( 21893, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 2.37/2.75    'c_Datatype_Ooption_ONone' ) ) ] )
% 2.37/2.75  , clause( 21894, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 2.37/2.75    'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 2.37/2.75  , clause( 21895, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 2.37/2.75  , clause( 21896, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 21897, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 2.37/2.75  , clause( 21898, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 21899, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 2.37/2.75  , clause( 21900, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 21901, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 21902, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 21903, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 21904, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 2.37/2.75    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 21905, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 2.37/2.75    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 2.37/2.75  , clause( 21906, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 2.37/2.75    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 2.37/2.75  , clause( 21907, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 2.37/2.75    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 2.37/2.75  , clause( 21908, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 2.37/2.75    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 2.37/2.75  , clause( 21909, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 2.37/2.75    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 2.37/2.75  , clause( 21910, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 
% 2.37/2.75    'c_0' ) ] )
% 2.37/2.75  , clause( 21911, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21912, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 2.37/2.75    , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 2.37/2.75  , clause( 21913, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 
% 2.37/2.75    'c_emptyset', X, Y ) ) ] )
% 2.37/2.75  , clause( 21914, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 
% 2.37/2.75    'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 2.37/2.75  , clause( 21915, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 2.37/2.75    , 'c_emptyset' ) ] )
% 2.37/2.75  , clause( 21916, [ ~( =( 'c_Extraction_Osumbool_OLeft', 
% 2.37/2.75    'c_Extraction_Osumbool_ORight' ) ) ] )
% 2.37/2.75  , clause( 21917, [ ~( =( 'c_Extraction_Osumbool_ORight', 
% 2.37/2.75    'c_Extraction_Osumbool_OLeft' ) ) ] )
% 2.37/2.75  , clause( 21918, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( 
% 2.37/2.75    T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 2.37/2.75    , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 2.37/2.75  , clause( 21919, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 
% 2.37/2.75    'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 
% 2.37/2.75    'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 21920, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 
% 2.37/2.75    'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 
% 2.37/2.75    'tc_set'( Y ) ) ] )
% 2.37/2.75  , clause( 21921, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 2.37/2.75     ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( 
% 2.37/2.75    Y ) ) ) ] )
% 2.37/2.75  , clause( 21922, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X, 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 21923, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y, 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 21924, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 2.37/2.75     ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 2.37/2.75    'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 2.37/2.75  , clause( 21925, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 21926, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 2.37/2.75    'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 2.37/2.75    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 2.37/2.75  , clause( 21927, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 2.37/2.75    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 21928, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 2.37/2.75    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 
% 2.37/2.75    'tc_nat' ) ] )
% 2.37/2.75  , clause( 21929, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 
% 2.37/2.75    'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 
% 2.37/2.75    'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21930, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 
% 2.37/2.75    'tc_nat' ) ) ) ] )
% 2.37/2.75  , clause( 21931, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), 
% 2.37/2.75    =( X, Y ) ] )
% 2.37/2.75  , clause( 21932, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 
% 2.37/2.75    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 21933, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 2.37/2.75    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 21934, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 2.37/2.75    , =( X, 'c_0' ) ] )
% 2.37/2.75  , clause( 21935, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 21936, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 2.37/2.75     ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21937, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 2.37/2.75    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 2.37/2.75    'tc_IntDef_Oint' ) ] )
% 2.37/2.75  , clause( 21938, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 2.37/2.75    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 2.37/2.75    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 2.37/2.75  , clause( 21939, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 2.37/2.75    =( X, 'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21940, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 2.37/2.75    =( Y, 'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21941, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 2.37/2.75    , 'c_List_Olist_ONil', X ) ) ] )
% 2.37/2.75  , clause( 21942, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), 
% 2.37/2.75    =( X, 'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21943, [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 
% 2.37/2.75    'c_List_Olist_ONil', X ) ) ] )
% 2.37/2.75  , clause( 21944, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 2.37/2.75    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 2.37/2.75    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 2.37/2.75  , clause( 21945, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 2.37/2.75    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 2.37/2.75    'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 2.37/2.75  , clause( 21946, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 2.37/2.75    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 2.37/2.75    'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 2.37/2.75  , clause( 21947, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 2.37/2.75     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 2.37/2.75    'tc_List_Olist'( Z ) ) ] )
% 2.37/2.75  , clause( 21948, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 2.37/2.75     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 2.37/2.75    'tc_List_Olist'( Z ) ) ] )
% 2.37/2.75  , clause( 21949, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 2.37/2.75    Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 2.37/2.75    , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 2.37/2.75    Z ) ) ] )
% 2.37/2.75  , clause( 21950, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 2.37/2.75    =( X, 'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21951, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 2.37/2.75    =( Y, 'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21952, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 2.37/2.75    , X ), 'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21953, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), 
% 2.37/2.75    =( X, T ) ] )
% 2.37/2.75  , clause( 21954, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 
% 2.37/2.75    'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21955, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 2.37/2.75  , clause( 21956, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 
% 2.37/2.75    'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21957, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 2.37/2.75  , clause( 21958, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 2.37/2.75    Z, T ) ) ), =( X, Z ) ] )
% 2.37/2.75  , clause( 21959, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 2.37/2.75    Z, T ) ) ), =( Y, T ) ] )
% 2.37/2.75  , clause( 21960, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 2.37/2.75     ), =( X, 'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21961, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( 
% 2.37/2.75    X ) ), 'c_0' ) ] )
% 2.37/2.75  , clause( 21962, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 2.37/2.75    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 21963, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 2.37/2.75     ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21964, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 2.37/2.75    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 
% 2.37/2.75    'c_List_Oremdups'( X, Y ), X ) ] )
% 2.37/2.75  , clause( 21965, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 2.37/2.75    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 2.37/2.75    'tc_List_Olist'( Y ) ) ) ] )
% 2.37/2.75  , clause( 21966, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 2.37/2.75     ) ) ) ] )
% 2.37/2.75  , clause( 21967, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 2.37/2.75    'c_List_Olist_ONil' ) ) ] )
% 2.37/2.75  , clause( 21968, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 2.37/2.75    'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 2.37/2.75  , clause( 21969, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 2.37/2.75    'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 2.37/2.75  , clause( 21970, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 2.37/2.75    , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( 
% 2.37/2.75    Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 2.37/2.75  , clause( 21971, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 2.37/2.75    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 2.37/2.75    'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 2.37/2.75  , clause( 21972, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), 
% 2.37/2.75    =( X, 'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21973, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 
% 2.37/2.75    'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21974, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), 
% 2.37/2.75    =( X, Z ) ] )
% 2.37/2.75  , clause( 21975, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), 
% 2.37/2.75    =( Y, T ) ] )
% 2.37/2.75  , clause( 21976, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 
% 2.37/2.75    'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21977, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 2.37/2.75  , clause( 21978, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 
% 2.37/2.75    'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21979, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 2.37/2.75  , clause( 21980, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 2.37/2.75    'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21981, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21982, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 2.37/2.75    'c_List_Olist_ONil' ) ] )
% 2.37/2.75  , clause( 21983, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21984, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 2.37/2.75  , clause( 21985, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 2.37/2.75     ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21986, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 2.37/2.75    'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21987, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 2.37/2.75    'c_less'( X, Y, 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21988, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 2.37/2.75    , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21989, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 2.37/2.75  , clause( 21990, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 2.37/2.75  , clause( 21991, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 2.37/2.75     ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21992, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 2.37/2.75    'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21993, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 2.37/2.75    'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21994, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21995, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 21996, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 2.37/2.75  , clause( 21997, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 21998, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 2.37/2.75  , clause( 21999, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 2.37/2.75    'c_0' ) ] )
% 2.37/2.75  , clause( 22000, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 2.37/2.75  , clause( 22001, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 2.37/2.75  , clause( 22002, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 2.37/2.75  , clause( 22003, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 2.37/2.75  , clause( 22004, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 22005, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 22006, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 2.37/2.75     ] )
% 2.37/2.75  , clause( 22007, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 22008, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 22009, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 22010, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 2.37/2.75     ) ) ] )
% 2.37/2.75  , clause( 22011, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 2.37/2.75    , =( X, U ) ] )
% 2.37/2.75  , clause( 22012, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 2.37/2.75    , =( Y, W ) ] )
% 2.37/2.75  , clause( 22013, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 
% 2.37/2.75    'tc_prod'( Y, Y ) ) ] )
% 2.37/2.75  , clause( 22014, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 
% 2.37/2.75    'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 
% 2.37/2.75    'tc_prod'( T, U ) ) ] )
% 2.37/2.75  , clause( 22015, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 2.37/2.75     ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 2.37/2.75    , Z, T ), T ) ] )
% 2.37/2.75  , clause( 22016, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 
% 2.37/2.75    'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 2.37/2.75    'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 2.37/2.75  , clause( 22017, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 2.37/2.75     ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 
% 2.37/2.75    'tc_prod'( T, Z ) ) ] )
% 2.37/2.75  , clause( 22018, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 
% 2.37/2.75    'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 2.37/2.75  , clause( 22019, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 2.37/2.75    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), 
% 2.37/2.75    =( Y, Z ) ] )
% 2.37/2.75  , clause( 22020, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 2.37/2.75    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 2.37/2.75  , clause( 22021, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 2.37/2.75    Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 2.37/2.75  , clause( 22022, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 2.37/2.75    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 2.37/2.75    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 2.37/2.75  , clause( 22023, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 2.37/2.75    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 2.37/2.75    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 2.37/2.75  , clause( 22024, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 2.37/2.75    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( 
% 2.37/2.75    Y, Z ) ] )
% 2.37/2.75  , clause( 22025, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 2.37/2.75    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 2.37/2.75  , clause( 22026, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 2.37/2.75    Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 2.37/2.75  , clause( 22027, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 2.37/2.75    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 2.37/2.75    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 2.37/2.75  , clause( 22028, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 2.37/2.75    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 
% 2.37/2.75    'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 2.37/2.75  , clause( 22029, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 2.37/2.75    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 2.37/2.75     ) ) ), =( Y, Z ) ] )
% 2.37/2.75  , clause( 22030, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 2.37/2.75    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 2.37/2.75  , clause( 22031, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 2.37/2.75     ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 2.37/2.75  , clause( 22032, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 2.37/2.75    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 2.37/2.75     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 2.37/2.75  , clause( 22033, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 2.37/2.75    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 2.37/2.75    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 2.37/2.75  , clause( 22034, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 2.37/2.75    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 2.37/2.75    , =( Y, Z ) ] )
% 2.37/2.75  , clause( 22035, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 2.37/2.75    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 2.37/2.75  , clause( 22036, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 2.37/2.75     ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 2.37/2.75  , clause( 22037, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 2.37/2.75    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 2.37/2.75    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 2.37/2.75  , clause( 22038, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 2.37/2.75    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 2.37/2.75    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 2.37/2.75  , clause( 22039, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 
% 2.37/2.75    'tc_set'( Z ) ), Z ) ) ] )
% 2.37/2.75  , clause( 22040, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 2.37/2.75     ) ), Z ) ] )
% 2.37/2.75  , clause( 22041, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 2.37/2.75    'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 2.37/2.75  , clause( 22042, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 
% 2.37/2.75    'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 
% 2.37/2.75    'tc_set'( Y ) ) ] )
% 2.37/2.75  , clause( 22043, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 
% 2.37/2.75    'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( 
% 2.37/2.75    Z ) ), 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 22044, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 
% 2.37/2.75    'tc_set'( Z ) ), Z ) ) ] )
% 2.37/2.75  , clause( 22045, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 
% 2.37/2.75    'c_in'( X, Y, T ) ] )
% 2.37/2.75  , clause( 22046, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 
% 2.37/2.75    'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 2.37/2.75  , clause( 22047, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 2.37/2.75    , T ) ] )
% 2.37/2.75  , clause( 22048, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 2.37/2.75    , T ) ] )
% 2.37/2.75  , clause( 22049, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( 
% 2.37/2.75    X, 'c_inter'( T, Y, Z ), Z ) ] )
% 2.37/2.75  , clause( 22050, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 
% 2.37/2.75    'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 2.37/2.75  , clause( 22051, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 
% 2.37/2.75    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 22052, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 
% 2.37/2.75    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 2.37/2.75  , clause( 22053, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 2.37/2.75  , clause( 22054, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 2.37/2.75    , Z ) ] )
% 2.37/2.75  , clause( 22055, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 2.37/2.75    , Z ) ] )
% 2.37/2.75  , clause( 22056, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 2.37/2.75    , T ), 'c_in'( X, Y, T ) ] )
% 2.37/2.75  , clause( 22057, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 
% 2.37/2.75    'c_emptyset' ) ] )
% 2.37/2.75  , clause( 22058, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 
% 2.37/2.75    'c_emptyset' ) ] )
% 2.37/2.75  , clause( 22059, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 
% 2.37/2.75    'c_emptyset' ) ] )
% 2.37/2.75  , clause( 22060, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 2.37/2.75     ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 2.37/2.75  , clause( 22061, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 2.37/2.75  , clause( 22062, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 2.37/2.75    , Z ) ] )
% 2.37/2.75  , clause( 22063, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 2.37/2.75  , clause( 22064, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 2.37/2.75    , T ), =( X, Y ) ] )
% 2.37/2.75  , clause( 22065, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 2.37/2.75  , clause( 22066, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 2.37/2.75    , Z ) ) ), =( X, T ) ] )
% 2.37/2.75  , clause( 22067, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 2.37/2.75    , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( 
% 2.37/2.75    Z ) ) ] )
% 2.37/2.75  , clause( 22068, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 2.37/2.75    'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 2.37/2.75    , Z ) ) ] )
% 2.37/2.75  , clause( 22069, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 2.37/2.75    , Y ) ) ), =( Z, X ) ] )
% 2.37/2.75  , clause( 22070, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 2.37/2.75    , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( 
% 2.37/2.75    Y ) ) ] )
% 2.37/2.75  , clause( 22071, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 2.37/2.75    'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 2.37/2.75    , Z ) ) ] )
% 2.37/2.75  , clause( 22072, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 2.37/2.75    T, Y, Z ) ) ), =( X, T ) ] )
% 2.37/2.75  , clause( 22073, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 2.37/2.75    T, Z, Y ) ) ) ] )
% 2.37/2.75  , clause( 22074, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 2.37/2.75    T, Y, Z ) ) ), =( X, T ) ] )
% 2.37/2.75  , clause( 22075, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 2.37/2.75    T, Z, Y ) ) ) ] )
% 2.37/2.75  , clause( 22076, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 
% 2.37/2.75    'c_Relation_Oconverse'( X, Y, Y ), Y ) ), 
% 2.37/2.75    'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 2.37/2.75  , clause( 22077, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 2.37/2.75    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 2.37/2.75     ) ] )
% 2.37/2.75  , clause( 22078, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 2.37/2.75    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 2.37/2.75    'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 2.37/2.75  , clause( 22079, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 2.37/2.75    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 
% 2.37/2.75    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 2.37/2.75    'tc_prod'( Z, Z ) ) ) ] )
% 2.37/2.75  , clause( 22080, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 2.37/2.75    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 2.37/2.75    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 2.37/2.75    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 2.37/2.75  , clause( 22081, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 2.37/2.75    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 2.37/2.75    'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 2.37/2.75  , clause( 22082, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 2.37/2.75    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 2.37/2.75    , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 2.37/2.75     )
% 2.37/2.75  , clause( 22083, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 2.37/2.75    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 2.37/2.75    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 2.37/2.75    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 2.37/2.75  , clause( 22084, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 2.37/2.75    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 2.37/2.75     ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 2.37/2.75  , clause( 22085, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 2.37/2.75    , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 
% 2.37/2.75    'tc_nat', 'tc_nat' ) ) ] )
% 2.37/2.75  , clause( 22086, [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad', 
% 2.37/2.75    'tc_Message_Oagent' ) ) ] )
% 2.37/2.75  , clause( 22087, [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad', 
% 2.37/2.75    'tc_Message_Oagent' ) ] )
% 2.37/2.75  , clause( 22088, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 2.37/2.75    'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 2.37/2.75    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22089, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 2.37/2.75    'c_Event_Oevent_OGets'( T, U ) ) ) ] )
% 2.37/2.75  , clause( 22090, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 2.37/2.75    'c_Event_Oevent_OSays'( Z, T, U ) ) ) ] )
% 2.37/2.75  , clause( 22091, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 2.37/2.75    'c_Event_Oevent_ONotes'( T, U ) ) ) ] )
% 2.37/2.75  , clause( 22092, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 2.37/2.75    'c_Event_Oevent_OSays'( Z, T, U ) ) ) ] )
% 2.37/2.75  , clause( 22093, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 2.37/2.75    'c_Event_Oevent_ONotes'( Z, T ) ) ) ] )
% 2.37/2.75  , clause( 22094, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 2.37/2.75    'c_Event_Oevent_OGets'( Z, T ) ) ) ] )
% 2.37/2.75  , clause( 22095, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 2.37/2.75    'c_Event_Oevent_OSays'( T, U, W ) ) ), =( X, T ) ] )
% 2.37/2.75  , clause( 22096, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 2.37/2.75    'c_Event_Oevent_OSays'( T, U, W ) ) ), =( Y, U ) ] )
% 2.37/2.75  , clause( 22097, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 2.37/2.75    'c_Event_Oevent_OSays'( T, U, W ) ) ), =( Z, W ) ] )
% 2.37/2.75  , clause( 22098, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 2.37/2.75    'c_Event_Oevent_OGets'( Z, T ) ) ), =( X, Z ) ] )
% 2.37/2.75  , clause( 22099, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 
% 2.37/2.75    'c_Event_Oevent_OGets'( Z, T ) ) ), =( Y, T ) ] )
% 2.37/2.75  , clause( 22100, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 2.37/2.75    'c_Event_Oevent_ONotes'( Z, T ) ) ), =( X, Z ) ] )
% 2.37/2.75  , clause( 22101, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 
% 2.37/2.75    'c_Event_Oevent_ONotes'( Z, T ) ) ), =( Y, T ) ] )
% 2.37/2.75  , clause( 22102, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 2.37/2.75    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 2.37/2.75    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), 'c_in'( 
% 2.37/2.75    'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22103, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 2.37/2.75    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 2.37/2.75    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 2.37/2.75    'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22104, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( Z, 'c_Message_Omsg_OHash'( 
% 2.37/2.75    'c_Message_Omsg_OMPair'( X, Y ) ) ) ] )
% 2.37/2.75  , clause( 22105, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( T, Y ) ] )
% 2.37/2.75  , clause( 22106, [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( 
% 2.37/2.75    'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ] )
% 2.37/2.75  , clause( 22107, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z
% 2.37/2.75    , T ) ) ), =( X, Z ) ] )
% 2.37/2.75  , clause( 22108, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z
% 2.37/2.75    , T ) ) ), =( Y, T ) ] )
% 2.37/2.75  , clause( 22109, [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( 
% 2.37/2.75    Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 22110, [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( 
% 2.37/2.75    Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 22111, [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'( 
% 2.37/2.75    Y, Z ) ) ) ] )
% 2.37/2.75  , clause( 22112, [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y
% 2.37/2.75    , Z ) ) ) ] )
% 2.37/2.75  , clause( 22113, [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y
% 2.37/2.75    , Z ) ) ) ] )
% 2.37/2.75  , clause( 22114, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 2.37/2.75    'c_Message_OHPair'( Z, T ) ) ) ] )
% 2.37/2.75  , clause( 22115, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_OAgent'( Z ) ) ) ] )
% 2.37/2.75  , clause( 22116, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_OCrypt'( Z, T ) ) ) ] )
% 2.37/2.75  , clause( 22117, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'( 
% 2.37/2.75    Z ) ) ) ] )
% 2.37/2.75  , clause( 22118, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'( 
% 2.37/2.75    Z ) ) ) ] )
% 2.37/2.75  , clause( 22119, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_ONonce'( Z ) ) ) ] )
% 2.37/2.75  , clause( 22120, [ ~( =( 'c_Message_OHPair'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_ONumber'( Z ) ) ) ] )
% 2.37/2.75  , clause( 22121, [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ), 
% 2.37/2.75    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 2.37/2.75    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ), 'c_in'( 
% 2.37/2.75    'c_Message_Omsg_OHash'( X ), Y, 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22122, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 
% 2.37/2.75    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 2.37/2.75    'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22123, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 2.37/2.75    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22124, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 2.37/2.75    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22125, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_OHPair'( Z, T ) ) ), =( X, 'c_Message_Omsg_OHash'( 
% 2.37/2.75    'c_Message_Omsg_OMPair'( Z, T ) ) ) ] )
% 2.37/2.75  , clause( 22126, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_OHPair'( Z, T ) ) ), =( Y, T ) ] )
% 2.37/2.75  , clause( 22127, [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'( 
% 2.37/2.75    'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ] )
% 2.37/2.75  , clause( 22128, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 2.37/2.75    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22129, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 2.37/2.75    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22130, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 2.37/2.75    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 2.37/2.75    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22131, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 2.37/2.75    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 2.37/2.75    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22132, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 2.37/2.75    'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 2.37/2.75    'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22133, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 2.37/2.75    'c_in'( Y, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 2.37/2.75    'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22134, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y
% 2.37/2.75     ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( 
% 2.37/2.75    'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 2.37/2.75    'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 2.37/2.75    Y ) ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22135, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 
% 2.37/2.75    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 2.37/2.75    'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22136, [ ~( =( 'c_Message_Oagent_OServer', 
% 2.37/2.75    'c_Message_Oagent_OFriend'( X ) ) ) ] )
% 2.37/2.75  , clause( 22137, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 2.37/2.75    'c_Message_Oagent_OServer' ) ) ] )
% 2.37/2.75  , clause( 22138, [ ~( =( 'c_Message_Oagent_OServer', 
% 2.37/2.75    'c_Message_Oagent_OSpy' ) ) ] )
% 2.37/2.75  , clause( 22139, [ ~( =( 'c_Message_Oagent_OSpy', 
% 2.37/2.75    'c_Message_Oagent_OServer' ) ) ] )
% 2.37/2.75  , clause( 22140, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 2.37/2.75    'c_Message_Oagent_OSpy' ) ) ] )
% 2.37/2.75  , clause( 22141, [ ~( =( 'c_Message_Oagent_OSpy', 
% 2.37/2.75    'c_Message_Oagent_OFriend'( X ) ) ) ] )
% 2.37/2.75  , clause( 22142, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 2.37/2.75    'c_Message_Oagent_OFriend'( Y ) ) ), =( X, Y ) ] )
% 2.37/2.75  , clause( 22143, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 2.37/2.75    'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22144, [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y
% 2.37/2.75     ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ), 
% 2.37/2.75    'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22145, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z, 
% 2.37/2.75    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 2.37/2.75    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 'c_in'( X, 
% 2.37/2.75    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22146, [ ~( =( 'c_Message_Omsg_OAgent'( X ), 
% 2.37/2.75    'c_Message_Omsg_OAgent'( Y ) ) ), =( X, Y ) ] )
% 2.37/2.75  , clause( 22147, [ ~( =( 'c_Message_Omsg_ONumber'( X ), 
% 2.37/2.75    'c_Message_Omsg_ONumber'( Y ) ) ), =( X, Y ) ] )
% 2.37/2.75  , clause( 22148, [ ~( =( 'c_Message_Omsg_ONonce'( X ), 
% 2.37/2.75    'c_Message_Omsg_ONonce'( Y ) ) ), =( X, Y ) ] )
% 2.37/2.75  , clause( 22149, [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( 
% 2.37/2.75    Y ) ) ), =( X, Y ) ] )
% 2.37/2.75  , clause( 22150, [ ~( =( 'c_Message_Omsg_OHash'( X ), 
% 2.37/2.75    'c_Message_Omsg_OHash'( Y ) ) ), =( X, Y ) ] )
% 2.37/2.75  , clause( 22151, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( X, Z ) ] )
% 2.37/2.75  , clause( 22152, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( Y, T ) ] )
% 2.37/2.75  , clause( 22153, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( X, Z ) ] )
% 2.37/2.75  , clause( 22154, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 2.37/2.75    'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( Y, T ) ] )
% 2.37/2.75  , clause( 22155, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 2.37/2.75    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22156, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ), 
% 2.37/2.75    'tc_Message_Omsg' ) ) ] )
% 2.37/2.75  , clause( 22157, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y
% 2.37/2.75     ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 
% 2.37/2.75    'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22158, [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'( 
% 2.37/2.75    Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22159, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 2.37/2.75     ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ), 
% 2.37/2.75    'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ), 
% 2.37/2.75    'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22160, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 2.37/2.75     ) ), 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 
% 2.37/2.75    'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22161, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 2.37/2.75    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22162, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 2.37/2.75     ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 
% 2.37/2.75    'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ), 
% 2.37/2.75    'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22163, [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 
% 2.37/2.75    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22164, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y
% 2.37/2.75     ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 2.37/2.75    'tc_Message_Omsg' ) ] )
% 2.37/2.75  , clause( 22165, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 
% 2.37/2.76    'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 2.37/2.76    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 
% 2.37/2.76    'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22166, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( Y, Z, 
% 2.37/2.76    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Y, 
% 2.37/2.76    'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 
% 2.37/2.76    'c_in'( X, 'c_union'( 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 
% 2.37/2.76    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22167, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 2.37/2.76    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 
% 2.37/2.76    'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z
% 2.37/2.76     ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 
% 2.37/2.76    'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22168, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 2.37/2.76     ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22169, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 2.37/2.76    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 2.37/2.76    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22170, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 
% 2.37/2.76    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 
% 2.37/2.76    'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( 
% 2.37/2.76    'c_Event_Oevent_OSays'( 'v_sko__usf'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 2.37/2.76    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 2.37/2.76  , clause( 22171, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 
% 2.37/2.76    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 
% 2.37/2.76    'c_Public_OshrK'( Y ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 2.37/2.76    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 2.37/2.76    'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 2.37/2.76  , clause( 22172, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 
% 2.37/2.76    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 2.37/2.76    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z, 
% 2.37/2.76    'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 
% 2.37/2.76    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 2.37/2.76    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 2.37/2.76    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( T, 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Y ), 
% 2.37/2.76    'c_Message_Omsg_OAgent'( W ) ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 2.37/2.76    'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 2.37/2.76    'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 2.37/2.76  , clause( 22173, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.76    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Oused'( 
% 2.37/2.76    Z ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22174, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 2.37/2.76    'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Oused'( 
% 2.37/2.76    Z ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22175, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 
% 2.37/2.76    'c_Message_Oparts'( 'c_Event_OinitState'( Y ) ), 'tc_Message_Omsg' ) ) ]
% 2.37/2.76     )
% 2.37/2.76  , clause( 22176, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 2.37/2.76    'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( 
% 2.37/2.76    Y, X ) ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 
% 2.37/2.76    'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22177, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 
% 2.37/2.76    'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'( 
% 2.37/2.76    'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22178, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X
% 2.37/2.76    , Y ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z
% 2.37/2.76     ) ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22179, [ ~( =( 'c_Public_Okeymode_OSignature', 
% 2.37/2.76    'c_Public_Okeymode_OEncryption' ) ) ] )
% 2.37/2.76  , clause( 22180, [ ~( =( 'c_Public_Okeymode_OEncryption', 
% 2.37/2.76    'c_Public_Okeymode_OSignature' ) ) ] )
% 2.37/2.76  , clause( 22181, [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X
% 2.37/2.76    , Y ) ), 'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 2.37/2.76  , clause( 22182, [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ), 
% 2.37/2.76    'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 2.37/2.76  , clause( 22183, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 2.37/2.76    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_OinitState'( Y ), 
% 2.37/2.76    'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22184, [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'( 
% 2.37/2.76    'c_Public_OpublicKey'( Y, Z ) ) ) ) ] )
% 2.37/2.76  , clause( 22185, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y )
% 2.37/2.76     ), 'c_Public_OpublicKey'( Z, T ) ) ) ] )
% 2.37/2.76  , clause( 22186, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 
% 2.37/2.76    'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_Oused'( Z ), 
% 2.37/2.76    'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22187, [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z
% 2.37/2.76     ) ) ) ] )
% 2.37/2.76  , clause( 22188, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X
% 2.37/2.76    , Y ) ), 'c_Event_OinitState'( Z ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22189, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 
% 2.37/2.76    'c_Public_OpublicKey'( Z, T ) ) ), =( X, Z ) ] )
% 2.37/2.76  , clause( 22190, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 
% 2.37/2.76    'c_Public_OpublicKey'( Z, T ) ) ), =( Y, T ) ] )
% 2.37/2.76  , clause( 22191, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X
% 2.37/2.76    , Y ) ), 'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22192, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'( 
% 2.37/2.76    'c_Public_OpublicKey'( Z, T ) ) ) ) ] )
% 2.37/2.76  , clause( 22193, [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys', 
% 2.37/2.76    'tc_nat' ) ] )
% 2.37/2.76  , clause( 22194, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 2.37/2.76    'c_Event_OinitState'( X ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22195, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 2.37/2.76    'c_Event_Oknows'( X, Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22196, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 
% 2.37/2.76    'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22197, [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ), 
% 2.37/2.76    =( X, Y ) ] )
% 2.37/2.76  , clause( 22198, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X
% 2.37/2.76    , Y ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 
% 2.37/2.76    'tc_Message_Omsg' ) ] )
% 2.37/2.76  , clause( 22199, [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 
% 2.37/2.76    'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'( X, 'c_Message_OsymKeys', 
% 2.37/2.76    'tc_nat' ) ] )
% 2.37/2.76  , clause( 22200, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'( 
% 2.37/2.76    'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 2.37/2.76  , clause( 22201, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 
% 2.37/2.76    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 2.37/2.76    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z, 
% 2.37/2.76    'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 
% 2.37/2.76    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 2.37/2.76    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 
% 2.37/2.76    'c_in'( 'c_Event_Oevent_OSays'( Y, 'c_Message_Oagent_OServer', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'( 'v_sko__u__1'( U, 
% 2.37/2.76    Y, Z, T, X ), 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( Z, 'c_Message_Omsg_OMPair'( T, 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( U ), 
% 2.37/2.76    'c_Message_Omsg_OAgent'( Y ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( X, 
% 2.37/2.76    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 2.37/2.76  , clause( 22202, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 
% 2.37/2.76    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 2.37/2.76    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z, 
% 2.37/2.76    'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 
% 2.37/2.76    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 2.37/2.76    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 2.37/2.76    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( W, 
% 2.37/2.76    'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OAgent'( V0 ), 'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 
% 2.37/2.76    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 2.37/2.76    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 
% 2.37/2.76    =( Z, W ) ] )
% 2.37/2.76  , clause( 22203, [ ~( 'c_in'( X, 'c_OtwayRees_Ootway', 'tc_List_Olist'( 
% 2.37/2.76    'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 2.37/2.76    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( Z, 
% 2.37/2.76    'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OAgent'( U ), 'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 
% 2.37/2.76    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 2.37/2.76    'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 
% 2.37/2.76    'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( W, 
% 2.37/2.76    'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OAgent'( V0 ), 'c_Message_Omsg_OAgent'( Y ) ) ) ) ), 
% 2.37/2.76    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 
% 2.37/2.76    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 
% 2.37/2.76    =( U, V0 ) ] )
% 2.37/2.76  , clause( 22204, [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' )
% 2.37/2.76     ) ] )
% 2.37/2.76  , clause( 22205, [ 'c_in'( 'v_evs2', 'c_OtwayRees_Ootway', 'tc_List_Olist'( 
% 2.37/2.76    'tc_Event_Oevent' ) ) ] )
% 2.37/2.76  , clause( 22206, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( 'v_NBa' ), 
% 2.37/2.76    'c_Event_Oused'( 'v_evs2' ), 'tc_Message_Omsg' ) ) ] )
% 2.37/2.76  , clause( 22207, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_Ba', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NAa' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ), 'v_X' ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 2.37/2.76  , clause( 22208, [ 'c_in'( 'c_Event_Oevent_OSays'( 
% 2.37/2.76    'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 2.37/2.76     ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 2.37/2.76  , clause( 22209, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 
% 2.37/2.76    'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 2.37/2.76    'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 2.37/2.76    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 
% 2.37/2.76    'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 2.37/2.76  , clause( 22210, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 
% 2.37/2.76    'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 2.37/2.76    'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 2.37/2.76    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 
% 2.37/2.76    'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( 
% 2.37/2.76    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 2.37/2.76     )
% 2.37/2.76  , clause( 22211, [ ~( =( 'v_NB', 'c_Message_Omsg_ONonce'( 'v_NBa' ) ) ), 
% 2.37/2.76    ~( =( X, 'v_X' ) ), ~( =( 'v_A', 'v_Aa' ) ), ~( =( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_ONonce'( 'v_NAa' ) ) ), ~( =( 'v_B', 'v_Ba' ) ) ] )
% 2.37/2.76  ] ).
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  subsumption(
% 2.37/2.76  clause( 1429, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 2.37/2.76    , 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 2.37/2.76  , clause( 22208, [ 'c_in'( 'c_Event_Oevent_OSays'( 
% 2.37/2.76    'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 2.37/2.76     ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 2.37/2.76  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  subsumption(
% 2.37/2.76  clause( 1430, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 
% 2.37/2.76    'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 2.37/2.76    'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 2.37/2.76    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 
% 2.37/2.76    'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 2.37/2.76  , clause( 22209, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 
% 2.37/2.76    'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 2.37/2.76    'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 2.37/2.76    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 
% 2.37/2.76    'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 2.37/2.76  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  resolution(
% 2.37/2.76  clause( 23052, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 2.37/2.76    'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 2.37/2.76     ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 2.37/2.76     )
% 2.37/2.76  , clause( 1430, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 
% 2.37/2.76    'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 2.37/2.76    'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 2.37/2.76    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 
% 2.37/2.76    'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 2.37/2.76  , 0, clause( 22210, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_B', 
% 2.37/2.76    'c_Message_Oagent_OServer', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_x', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 2.37/2.76    'v_B' ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 'v_NB'
% 2.37/2.76    , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OAgent'( 'v_B' ) ) ) ) ) ) ) ) ) ), 'c_List_Oset'( 
% 2.37/2.76    'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ), ~( 'c_in'( 
% 2.37/2.76    'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OMPair'( 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 2.37/2.76     )
% 2.37/2.76  , 0, substitution( 0, [ :=( X, 'v_x' )] ), substitution( 1, [] )).
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  subsumption(
% 2.37/2.76  clause( 1431, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 2.37/2.76    'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 2.37/2.76     ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 2.37/2.76     )
% 2.37/2.76  , clause( 23052, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 2.37/2.76    'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 2.37/2.76     ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 2.37/2.76     )
% 2.37/2.76  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  resolution(
% 2.37/2.76  clause( 23053, [] )
% 2.37/2.76  , clause( 1431, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 
% 2.37/2.76    'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 2.37/2.76     ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ]
% 2.37/2.76     )
% 2.37/2.76  , 0, clause( 1429, [ 'c_in'( 'c_Event_Oevent_OSays'( 
% 2.37/2.76    'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 'v_NA', 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_A'
% 2.37/2.76     ), 'c_Message_Omsg_OMPair'( 'v_NA', 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 2.37/2.76    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 2.37/2.76    'c_Message_Omsg_OMPair'( 'v_NB', 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) )
% 2.37/2.76    , 'c_List_Oset'( 'v_evs2', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 2.37/2.76  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  subsumption(
% 2.37/2.76  clause( 20727, [] )
% 2.37/2.76  , clause( 23053, [] )
% 2.37/2.76  , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  end.
% 2.37/2.76  
% 2.37/2.76  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.37/2.76  
% 2.37/2.76  Memory use:
% 2.37/2.76  
% 2.37/2.76  space for terms:        683958
% 2.37/2.76  space for clauses:      1506109
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  clauses generated:      58136
% 2.37/2.76  clauses kept:           20728
% 2.37/2.76  clauses selected:       1259
% 2.37/2.76  clauses deleted:        48
% 2.37/2.76  clauses inuse deleted:  1
% 2.37/2.76  
% 2.37/2.76  subsentry:          82070
% 2.37/2.76  literals s-matched: 64423
% 2.37/2.76  literals matched:   63369
% 2.37/2.76  full subsumption:   25035
% 2.37/2.76  
% 2.37/2.76  checksum:           -292094430
% 2.37/2.76  
% 2.37/2.76  
% 2.37/2.76  Bliksem ended
%------------------------------------------------------------------------------