TSTP Solution File: SWV265-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV265-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 16:23:22 EDT 2022

% Result   : Unsatisfiable 43.42s 43.77s
% Output   : Refutation 43.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV265-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Thu Jun 16 02:55:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.88/1.26  *** allocated 10000 integers for termspace/termends
% 0.88/1.26  *** allocated 10000 integers for clauses
% 0.88/1.26  *** allocated 10000 integers for justifications
% 0.88/1.26  *** allocated 15000 integers for termspace/termends
% 0.88/1.26  Bliksem 1.12
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  Automatic Strategy Selection
% 0.88/1.26  
% 0.88/1.26  Clauses:
% 0.88/1.26  [
% 0.88/1.26     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.88/1.26    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.26     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.88/1.26    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.26    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 0.88/1.26    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 0.88/1.26    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 0.88/1.26    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.88/1.26     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.88/1.26     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.88/1.26    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.88/1.26    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.88/1.26    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 0.88/1.26    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 0.88/1.26    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.88/1.26     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.26    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 0.88/1.26    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.26    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 0.88/1.26    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.26    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 0.88/1.26    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.26    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 0.88/1.26    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 0.88/1.26    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.88/1.26    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.88/1.26    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.88/1.26    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 0.88/1.26    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.88/1.26     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.88/1.26    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.88/1.26    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.88/1.26    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 0.88/1.26    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.88/1.26     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 0.88/1.26    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 0.88/1.26    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'( 
% 0.88/1.26    Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'( 
% 0.88/1.26    Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.88/1.26    , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.88/1.26    , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 0.88/1.26    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 0.88/1.26    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 0.88/1.26    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.88/1.26     ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'( 
% 0.88/1.26    Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 0.88/1.26    X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 0.88/1.26    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 0.88/1.26    X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 0.88/1.26    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), 
% 0.88/1.26    'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.88/1.26    , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 0.88/1.26    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.88/1.26    , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 0.88/1.26    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 0.88/1.26    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 
% 0.88/1.26    'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.88/1.26    'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.88/1.26    'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.88/1.26    'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.88/1.26    , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'( 
% 0.88/1.26    'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.88/1.26    , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 0.88/1.26    , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 0.88/1.26    , 'tc_set'( Y ) ) ],
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.88/1.26     ) ), X, 'tc_nat' ) ],
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.88/1.26     ) ), Y, 'tc_nat' ) ],
% 0.88/1.26     [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ), 
% 0.88/1.26    ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 0.88/1.26    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 0.88/1.26    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 0.88/1.26    'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ), 
% 0.88/1.26    'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 0.88/1.26    , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 0.88/1.26     ) ) ],
% 0.88/1.26     [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.88/1.26     [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 0.88/1.26    'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 0.88/1.26     [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'( 
% 0.88/1.26    'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y, 
% 0.88/1.26    'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 0.88/1.26    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.88/1.26    'tc_nat' ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.88/1.26    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.88/1.26    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 0.88/1.26    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 0.88/1.26    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.88/1.26    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.88/1.26    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 0.88/1.26    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 0.88/1.26    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.88/1.26    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.88/1.26    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.88/1.26    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 0.88/1.26    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 0.88/1.26    'tc_prod'( Z, Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.88/1.26    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.88/1.26    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 0.88/1.26    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 0.88/1.26    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.88/1.26    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.88/1.26    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 0.88/1.26    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 0.88/1.26    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.88/1.26    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.88/1.26    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.88/1.26    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 0.88/1.26    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 0.88/1.26    'tc_prod'( T, T ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 0.88/1.26    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 0.88/1.26    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 0.88/1.26    'c_List_Olist_ONil' ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 0.88/1.26    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 0.88/1.26    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 0.88/1.26    'c_List_Olist_ONil' ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.88/1.26    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 0.88/1.26    'tc_List_Olist'( Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.88/1.26    'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 0.88/1.26     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 
% 0.88/1.26    'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ), 
% 0.88/1.26    'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'( 
% 0.88/1.26    Y ) ) ],
% 0.88/1.26     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.88/1.26    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 0.88/1.26    Y ) ) ],
% 0.88/1.26     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.88/1.26    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.88/1.26     ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 0.88/1.26     [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.26     [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 0.88/1.26     [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 0.88/1.26    , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'( 
% 0.88/1.26    'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 0.88/1.26    'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 0.88/1.26    'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'( 
% 0.88/1.26    T, U ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W, 
% 0.88/1.26    'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 0.88/1.26     ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.26    'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.88/1.26    , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.88/1.26    , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ), 
% 0.88/1.26    'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.88/1.26    , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ), 
% 0.88/1.26    'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 0.88/1.26    , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 0.88/1.26    , Z, Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), 
% 0.88/1.26    'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 0.88/1.26     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 0.88/1.26    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.88/1.26    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), 
% 0.88/1.26    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.88/1.26    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 0.88/1.26    'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.88/1.26    U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 0.88/1.26    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 0.88/1.26    'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 0.88/1.26    , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0, 
% 0.88/1.26    T ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ), 
% 0.88/1.26    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 0.88/1.26    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 
% 0.88/1.26    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 0.88/1.26    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 0.88/1.26    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 
% 0.88/1.26    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 0.88/1.26    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 
% 0.88/1.26    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 0.88/1.26    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 0.88/1.26    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.26     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y, 
% 0.88/1.26    Z ), Y, 'tc_set'( Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 0.88/1.26    'c_Inter'( Y, Z ), Z ) ],
% 0.88/1.26     [ 'c_in'( X, 'c_UNIV', Y ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.88/1.26    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'( 
% 0.88/1.26    X, Y, Z ), Z ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 0.88/1.26     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 0.88/1.26    'tc_set'( Z ) ) ) ],
% 0.88/1.26     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'( 
% 0.88/1.26    Z ) ) ],
% 0.88/1.26     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'( 
% 0.88/1.26    Z ) ), =( X, Y ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 0.88/1.26     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 0.88/1.26     ) ) ), =( X, Z ) ],
% 0.88/1.26     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 0.88/1.26    'c_in'( X, T, Z ) ],
% 0.88/1.26     [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.88/1.26    , 'tc_set'( Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'( 
% 0.88/1.26    X, Y, 'tc_set'( Z ) ) ],
% 0.88/1.26     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 0.88/1.26    'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.88/1.26     [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ), 
% 0.88/1.26    'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ), 
% 0.88/1.26    'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.88/1.26    , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ), 
% 0.88/1.26    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.88/1.26    , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X, 
% 0.88/1.26    'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.88/1.26    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X, 
% 0.88/1.26    'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 0.88/1.26     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.88/1.26    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'( 
% 0.88/1.26    'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 0.88/1.26     [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 0.88/1.26    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.88/1.26     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.88/1.26     ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.26     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 0.88/1.26    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.88/1.26    'tc_prod'( Z, Z ) ) ],
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% 0.88/1.26    'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
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% 0.88/1.26     [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
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% 0.88/1.26    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
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% 0.88/1.26    'class_Finite__Set_Ofinite'( X ) ) ],
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% 0.88/1.26     [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
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% 0.88/1.26     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
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% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
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% 0.88/1.26     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 0.88/1.26     ) ],
% 0.88/1.26     [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 0.88/1.26     ],
% 0.88/1.26     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 0.88/1.26    'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 0.88/1.26    'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 0.88/1.26    'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 0.88/1.26     ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 0.88/1.26     ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 0.88/1.26     ],
% 0.88/1.26     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 0.88/1.26    'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 0.88/1.26    'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 0.88/1.26    'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.88/1.26     [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 0.88/1.26     [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 0.88/1.26     [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.26    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.88/1.26     ],
% 0.88/1.26     [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 0.88/1.26     [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.88/1.26     ],
% 0.88/1.26     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.88/1.26     ) ],
% 0.88/1.26     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.88/1.26     ],
% 0.88/1.26     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 0.88/1.26     ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.88/1.26     ],
% 0.88/1.26     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.88/1.26     [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 0.88/1.26    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.88/1.26     ],
% 0.88/1.26     [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 0.88/1.26     [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 0.88/1.26     [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 0.88/1.26     [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 0.88/1.26    'class_Finite__Set_Ofinite'( X ) ) ],
% 0.88/1.26     [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 0.88/1.26     [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 0.88/1.26    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.88/1.26     ],
% 0.88/1.26     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 0.88/1.26    X ) ],
% 0.88/1.26     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.88/1.26     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 0.88/1.26     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 0.88/1.26    X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 0.88/1.26     ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.88/1.26     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 0.88/1.26     ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.88/1.26     ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.26    X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 0.88/1.26    'class_HOL_Otimes'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.88/1.26    'class_HOL_Oplus'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 0.88/1.26    'class_HOL_Oplus'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.26    X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.26    X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'( 
% 0.88/1.26    X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.26    X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.26    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_HOL_Ominus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_HOL_Ominus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_HOL_Ominus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_HOL_Ominus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_HOL_Ominus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27    , 'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27    , 'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27    , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.27    , 'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 0.88/1.27    'class_HOL_Oone'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.88/1.27    'class_HOL_Ominus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_HOL_Oone'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Oone'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.88/1.27    'class_HOL_Oinverse'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oidom'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ofield'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_HOL_Oinverse'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oidom'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oidom'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Ominus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_HOL_Ominus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.27    X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Oone'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Otimes'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Ozero'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_HOL_Oplus'( X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.27    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.27     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.27    'class_Orderings_Oord'( X ) ],
% 0.88/1.27     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.27    'class_Orderings_Oorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.27    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.27    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.27    'class_LOrder_Olorder'( X ) ],
% 0.88/1.27     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.27    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 0.88/1.27    'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 0.88/1.27     [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 0.88/1.27    , Y ) ],
% 0.88/1.27     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 0.88/1.27    'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.88/1.27     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 0.88/1.27    'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'( 
% 0.88/1.27    Z, Y ) ) ), =( X, Z ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.88/1.27    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.27    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.27    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.27    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.27    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.27    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 0.88/1.27     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.88/1.27     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.88/1.27     [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =( 
% 0.88/1.27    X, 'c_emptyset' ) ],
% 0.88/1.27     [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =( 
% 0.88/1.27    X, 'c_emptyset' ) ],
% 0.88/1.27     [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ), 
% 0.88/1.27    'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z, 
% 0.88/1.27    'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 0.88/1.27    , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ), 
% 0.88/1.27    'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 0.88/1.27    'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.88/1.27    'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.88/1.27     ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.88/1.27     ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'( 
% 0.88/1.27    Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X, 
% 0.88/1.27    Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.88/1.27    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 0.88/1.27    , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 0.88/1.27     ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.88/1.27    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 0.88/1.27     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 0.88/1.27    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 0.88/1.27    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'( 
% 0.88/1.27    X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 0.88/1.27    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 0.88/1.27     [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 0.88/1.27    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 0.88/1.27    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 0.88/1.27    'tc_IntDef_Oint' ) ],
% 0.88/1.27     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 0.88/1.27     ],
% 0.88/1.27     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 0.88/1.27     [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 0.88/1.27    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 0.88/1.27    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 0.88/1.27    'tc_IntDef_Oint' ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 0.88/1.27    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 0.88/1.27    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X, 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y, 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil', 
% 0.88/1.27    'c_List_Olist_ONil', X ) ) ],
% 0.88/1.27     [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X, 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 0.88/1.27    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 0.88/1.27    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.88/1.27    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 0.88/1.27    Z ) ) ), =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.88/1.27    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 0.88/1.27    Z ) ) ), =( Y, U ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.88/1.27    'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 0.88/1.27    'tc_List_Olist'( Z ) ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.88/1.27    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 0.88/1.27    'tc_List_Olist'( Z ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 0.88/1.27    'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 
% 0.88/1.27    'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ), 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 0.88/1.27     [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 0.88/1.27     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 0.88/1.27    =( X, Z ) ],
% 0.88/1.27     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 0.88/1.27    =( Y, T ) ],
% 0.88/1.27     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X, 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 0.88/1.27    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 0.88/1.27     [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 0.88/1.27    , =( X, 'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.88/1.27    , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X, 
% 0.88/1.27    Y ), X ) ],
% 0.88/1.27     [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 0.88/1.27    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 0.88/1.27    'tc_List_Olist'( Y ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 0.88/1.27     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.88/1.27     ) ), =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.88/1.27     ) ), =( Y, U ) ],
% 0.88/1.27     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.88/1.27    , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 0.88/1.27    'c_List_Olist_ONil', Y ), Y ) ) ],
% 0.88/1.27     [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 0.88/1.27    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 0.88/1.27    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.88/1.27     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 0.88/1.27     [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 0.88/1.27     [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 0.88/1.27     [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 0.88/1.27    'c_List_Olist_ONil' ) ],
% 0.88/1.27     [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 0.88/1.27     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.88/1.27     [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 0.88/1.27    'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ), 
% 0.88/1.27    'c_Suc'( Y ), 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 0.88/1.27    , 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 0.88/1.27    , 'tc_nat' ) ],
% 0.88/1.27     [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 0.88/1.27     [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 0.88/1.27     [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 
% 0.88/1.27    'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y, 
% 0.88/1.27    'tc_nat' ), 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X, 
% 0.88/1.27    'tc_nat' ), 'tc_nat' ) ],
% 0.88/1.27     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 0.88/1.27     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.88/1.27     [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 0.88/1.27     [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.88/1.27     [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.88/1.27     [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 0.88/1.27     [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 0.88/1.27     [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 0.88/1.27     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.88/1.27     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.27     [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 0.88/1.27     [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 0.88/1.27     [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.88/1.27     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 0.88/1.27    , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.88/1.27    , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.88/1.27    'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 0.88/1.27    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 0.88/1.27    Z ) ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.88/1.27     ) ), =( X, Y ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'( 
% 0.88/1.27    Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.88/1.27    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.88/1.27    'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 0.88/1.27    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 0.88/1.27    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.88/1.27    'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 0.88/1.27    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'( 
% 0.88/1.27    Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.88/1.27    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.88/1.27    'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 0.88/1.27    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 0.88/1.27    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.88/1.27    'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( 
% 0.88/1.27    Z, X ), 'tc_set'( X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.88/1.27    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.88/1.27     ) ) ), =( Y, Z ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.88/1.27    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 0.88/1.27    , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 0.88/1.27    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.88/1.27     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.27    , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 0.88/1.27    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'( 
% 0.88/1.27    Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.88/1.27    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 0.88/1.27    , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 0.88/1.27    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 0.88/1.27    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.27    , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 0.88/1.27    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 
% 0.88/1.27    Z ) ) ],
% 0.88/1.27     [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 0.88/1.27     ), =( X, Z ) ],
% 0.88/1.27     [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 0.88/1.27    'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'( 
% 0.88/1.27    Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 0.88/1.27    , Z ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.88/1.27    , 'tc_set'( Z ) ), Z ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'( 
% 0.88/1.27    T, Y, Z ), Z ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 0.88/1.27     ) ), 'c_in'( T, X, Z ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 0.88/1.27    , 'tc_set'( Z ) ) ],
% 0.88/1.27     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 0.88/1.27    , 'tc_set'( Z ) ) ],
% 0.88/1.27     [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 0.88/1.27    X, Y, T ) ],
% 0.88/1.27     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 0.88/1.27    , 'c_Union'( T, Z ), Z ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.88/1.27     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =( 
% 0.88/1.27    X, T ) ],
% 0.88/1.27     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), 
% 0.88/1.27    'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.88/1.27     ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 0.88/1.27     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =( 
% 0.88/1.27    Z, X ) ],
% 0.88/1.27     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), 
% 0.88/1.27    'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.88/1.27     ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 0.88/1.27     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 0.88/1.27    , =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 0.88/1.27    , =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, 
% 0.88/1.27    Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 0.88/1.27     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 0.88/1.27    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.88/1.27    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'( 
% 0.88/1.27    T, Z ) ],
% 0.88/1.27     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.88/1.27    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.27    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.27     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 0.88/1.27    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 0.88/1.27    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 0.88/1.27    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.27     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.88/1.27    , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.88/1.27    , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.27    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.27     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.88/1.27    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 0.88/1.27    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 0.88/1.27    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 0.88/1.27    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.88/1.27     ), 'c_less'( X, Y, 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 
% 0.88/1.27    'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 
% 0.88/1.27    'tc_nat' ) ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OFriend'( X ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OServer' ) )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OSpy' ) ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OServer' ) ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OSpy' ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OFriend'( X ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OFriend'( Y )
% 0.88/1.27     ) ), =( X, Y ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Y ) ) ), 
% 0.88/1.27    =( X, Y ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Omsg_ONumber'( Y ) ) )
% 0.88/1.27    , =( X, Y ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Omsg_ONonce'( Y ) ) ), 
% 0.88/1.27    =( X, Y ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( Y ) ) ), =( X
% 0.88/1.27    , Y ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_Omsg_OHash'( Y ) ) ), 
% 0.88/1.27    =( X, Y ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 0.88/1.27     ) ), =( X, Z ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 0.88/1.27     ) ), =( Y, T ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 0.88/1.27     ) ), =( X, Z ) ],
% 0.88/1.27     [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 0.88/1.27     ) ), =( Y, T ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ), 
% 0.88/1.27    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 0.88/1.27    'tc_Message_Omsg' ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 0.88/1.27    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 0.88/1.27    'tc_Message_Omsg' ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( 
% 0.88/1.27    Y ), 'tc_Message_Omsg' ) ],
% 0.88/1.27     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 0.88/1.27    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 0.88/1.27    'tc_Message_Omsg' ) ],
% 0.88/1.27     [ 'c_lessequals'( 'v_G', 'v_H', 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 0.88/1.27     [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_Message_Oparts'( 
% 0.88/1.27    'v_G' ), 'tc_Message_Omsg' ) ],
% 0.88/1.27     [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_Message_Oparts'( 
% 0.88/1.27    'v_H' ), 'tc_Message_Omsg' ) ],
% 0.88/1.27     [ ~( 'c_in'( 'v_Y', 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ]
% 0.88/1.27    
% 0.88/1.27  ] .
% 0.88/1.27  
% 0.88/1.27  
% 0.88/1.27  percentage equality = 0.084458, percentage horn = 0.979651
% 0.88/1.27  This is a problem with some equality
% 0.88/1.27  
% 0.88/1.27  
% 0.88/1.27  
% 0.88/1.27  Options Used:
% 0.88/1.27  
% 0.88/1.27  useres =            1
% 0.88/1.27  useparamod =        1
% 0.88/1.27  useeqrefl =         1
% 0.88/1.27  useeqfact =         1
% 0.88/1.27  usefactor =         1
% 0.88/1.27  usesimpsplitting =  0
% 0.88/1.27  usesimpdemod =      5
% 0.88/1.27  usesimpres =        3
% 0.88/1.27  
% 0.88/1.27  resimpinuse      =  1000
% 0.88/1.27  resimpclauses =     20000
% 0.88/1.27  substype =          eqrewr
% 0.88/1.27  backwardsubs =      1
% 0.88/1.27  selectoldest =      5
% 0.88/1.27  
% 0.88/1.27  litorderings [0] =  split
% 0.88/1.27  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.88/1.27  
% 0.88/1.27  termordering =      kbo
% 0.88/1.27  
% 0.88/1.27  litapriori =        0
% 0.88/1.27  termapriori =       1
% 0.88/1.27  litaposteriori =    0
% 0.88/1.27  termaposteriori =   0
% 0.88/1.27  demodaposteriori =  0
% 0.88/1.27  ordereqreflfact =   0
% 0.88/1.27  
% 0.88/1.27  litselect =         negord
% 0.88/1.27  
% 0.88/1.27  maxweight =         15
% 0.88/1.27  maxdepth =          30000
% 0.88/1.27  maxlength =         115
% 0.88/1.27  maxnrvars =         195
% 0.88/1.27  excuselevel =       1
% 0.88/1.27  increasemaxweight = 1
% 0.88/1.27  
% 0.88/1.27  maxselected =       10000000
% 0.88/1.27  maxnrclauses =      10000000
% 0.88/1.27  
% 0.88/1.27  showgenerated =    0
% 0.88/1.27  showkept =         0
% 0.88/1.27  showselected =     0
% 0.88/1.27  showdeleted =      0
% 0.88/1.27  showresimp =       1
% 0.88/1.27  showstatus =       2000
% 0.88/1.27  
% 0.88/1.27  prologoutput =     1
% 0.88/1.27  nrgoals =          5000000
% 0.88/1.27  totalproof =       1
% 0.88/1.27  
% 0.88/1.27  Symbols occurring in the translation:
% 0.88/1.27  
% 0.88/1.27  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.88/1.27  .  [1, 2]      (w:1, o:190, a:1, s:1, b:0), 
% 0.88/1.27  !  [4, 1]      (w:0, o:100, a:1, s:1, b:0), 
% 0.88/1.27  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.27  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.27  'c_Datatype__Universe_OLeaf'  [42, 3]      (w:1, o:254, a:1, s:1, b:0), 
% 0.88/1.27  'c_Datatype__Universe_ONumb'  [44, 3]      (w:1, o:255, a:1, s:1, b:0), 
% 0.88/1.27  'c_Datatype__Universe_Odprod'  [48, 4]      (w:1, o:287, a:1, s:1, b:0), 
% 0.88/1.27  'tc_Datatype__Universe_Onode'  [49, 2]      (w:1, o:215, a:1, s:1, b:0), 
% 0.88/1.27  'tc_set'  [50, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 0.88/1.27  'tc_prod'  [51, 2]      (w:1, o:216, a:1, s:1, b:0), 
% 0.88/1.27  'c_in'  [52, 3]      (w:1, o:256, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OdprodE__1'  [53, 5]      (w:1, o:308, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OdprodE__2'  [54, 5]      (w:1, o:309, a:1, s:1, b:0), 
% 0.88/1.27  'c_Datatype__Universe_OScons'  [55, 4]      (w:1, o:288, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OdprodE__3'  [56, 5]      (w:1, o:310, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OdprodE__4'  [57, 5]      (w:1, o:311, a:1, s:1, b:0), 
% 0.88/1.27  'c_Pair'  [58, 4]      (w:1, o:289, a:1, s:1, b:0), 
% 0.88/1.27  'c_Datatype__Universe_Odsum'  [64, 4]      (w:1, o:290, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OdsumE__1'  [65, 4]      (w:1, o:293, a:1, s:1, b:0), 
% 0.88/1.27  'c_Datatype__Universe_OIn0'  [66, 3]      (w:1, o:257, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OdsumE__2'  [67, 4]      (w:1, o:294, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OdsumE__3'  [68, 4]      (w:1, o:295, a:1, s:1, b:0), 
% 0.88/1.27  'c_Datatype__Universe_OIn1'  [69, 3]      (w:1, o:258, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OdsumE__4'  [70, 4]      (w:1, o:296, a:1, s:1, b:0), 
% 0.88/1.27  'c_Datatype__Universe_Ouprod'  [73, 4]      (w:1, o:297, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OuprodE__1'  [74, 5]      (w:1, o:312, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OuprodE__2'  [75, 5]      (w:1, o:313, a:1, s:1, b:0), 
% 0.88/1.27  'c_Datatype__Universe_Ousum'  [77, 4]      (w:1, o:298, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OusumE__1'  [78, 4]      (w:1, o:299, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OusumE__2'  [79, 4]      (w:1, o:300, a:1, s:1, b:0), 
% 0.88/1.27  'c_0'  [81, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 0.88/1.27  'tc_nat'  [82, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 0.88/1.27  'c_Divides_Oop_Advd'  [83, 3]      (w:1, o:259, a:1, s:1, b:0), 
% 0.88/1.27  'c_Suc'  [84, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 0.88/1.27  'c_times'  [86, 3]      (w:1, o:260, a:1, s:1, b:0), 
% 0.88/1.27  'c_Divides_Oop_Amod'  [88, 3]      (w:1, o:261, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Omod__eq__0D__dest__1'  [89, 2]      (w:1, o:226, a:1, s:1, b:0), 
% 0.88/1.27  'c_emptyset'  [90, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 0.88/1.27  'c_Finite__Set_OFinites'  [91, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 0.88/1.27  'c_insert'  [93, 3]      (w:1, o:262, a:1, s:1, b:0), 
% 0.88/1.27  'c_inter'  [96, 3]      (w:1, o:263, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Ofinite__Union__1'  [97, 2]      (w:1, o:227, a:1, s:1, b:0), 
% 0.88/1.27  'c_Union'  [98, 2]      (w:1, o:232, a:1, s:1, b:0), 
% 0.88/1.27  'c_GCD_Ogcd'  [100, 1]      (w:1, o:107, a:1, s:1, b:0), 
% 0.88/1.27  'c_Infinite__Set_Oatmost__one'  [102, 2]      (w:1, o:233, a:1, s:1, b:0), 
% 0.88/1.27    
% 0.88/1.27  'c_IntDef_Oint'  [103, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 0.88/1.27  'tc_IntDef_Oint'  [104, 0]      (w:1, o:60, a:1, s:1, b:0), 
% 0.88/1.27  'c_uminus'  [105, 2]      (w:1, o:234, a:1, s:1, b:0), 
% 0.88/1.27  'c_lessequals'  [106, 3]      (w:1, o:264, a:1, s:1, b:0), 
% 0.88/1.27  'c_less'  [107, 3]      (w:1, o:265, a:1, s:1, b:0), 
% 0.88/1.27  'c_1'  [108, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Ozmod__eq__0D__dest__1'  [109, 2]      (w:1, o:235, a:1, s:1, b:0)
% 0.88/1.27    , 
% 0.88/1.27  'c_List_Oremdups'  [111, 2]      (w:1, o:217, a:1, s:1, b:0), 
% 0.88/1.27  'c_List_Odistinct'  [112, 2]      (w:1, o:219, a:1, s:1, b:0), 
% 0.88/1.27  'c_List_Oset'  [113, 2]      (w:1, o:221, a:1, s:1, b:0), 
% 0.88/1.27  'c_List_Olists'  [114, 2]      (w:1, o:223, a:1, s:1, b:0), 
% 0.88/1.27  'tc_List_Olist'  [115, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Oin__listsI__1'  [117, 3]      (w:1, o:267, a:1, s:1, b:0), 
% 0.88/1.27  'c_Nat_Osize'  [118, 2]      (w:1, o:241, a:1, s:1, b:0), 
% 0.88/1.27  'c_List_Olist_OCons'  [120, 3]      (w:1, o:266, a:1, s:1, b:0), 
% 0.88/1.27  'c_List_Olistrel'  [121, 2]      (w:1, o:222, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Olistrel__Cons1__1'  [122, 5]      (w:1, o:314, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Olistrel__Cons1__2'  [123, 5]      (w:1, o:315, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Olistrel__Cons2__1'  [124, 5]      (w:1, o:316, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Olistrel__Cons2__2'  [125, 5]      (w:1, o:317, a:1, s:1, b:0), 
% 0.88/1.27  'c_List_Olist_ONil'  [126, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 0.88/1.27  'c_Wellfounded__Recursion_Owf'  [128, 2]      (w:1, o:242, a:1, s:1, b:0), 
% 0.88/1.27    
% 0.88/1.27  'c_List_Olenlex'  [129, 2]      (w:1, o:224, a:1, s:1, b:0), 
% 0.88/1.27  'c_List_Olex'  [130, 2]      (w:1, o:225, a:1, s:1, b:0), 
% 0.88/1.27  'class_Orderings_Oorder'  [131, 1]      (w:1, o:113, a:1, s:1, b:0), 
% 0.88/1.27  'c_Relation_ODomain'  [132, 3]      (w:1, o:268, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_ODomainE__1'  [133, 4]      (w:1, o:301, a:1, s:1, b:0), 
% 0.88/1.27  'c_Relation_OId'  [136, 0]      (w:1, o:66, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OIdE__1'  [137, 2]      (w:1, o:236, a:1, s:1, b:0), 
% 0.88/1.27  'c_Relation_OImage'  [138, 4]      (w:1, o:302, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OImageE__1'  [139, 5]      (w:1, o:318, a:1, s:1, b:0), 
% 0.88/1.27  'c_Relation_ORange'  [140, 3]      (w:1, o:269, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_ORangeE__1'  [141, 4]      (w:1, o:303, a:1, s:1, b:0), 
% 0.88/1.27  'c_Relation_Oconverse'  [143, 3]      (w:1, o:270, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OconverseE__1'  [144, 4]      (w:1, o:291, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OconverseE__2'  [145, 4]      (w:1, o:292, a:1, s:1, b:0), 
% 0.88/1.27  'c_Relation_Odiag'  [146, 2]      (w:1, o:243, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OdiagE__1'  [147, 3]      (w:1, o:271, a:1, s:1, b:0), 
% 0.88/1.27  'c_Relation_Orel__comp'  [150, 5]      (w:1, o:319, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Orel__compE__2'  [151, 6]      (w:1, o:321, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Orel__compE__3'  [152, 6]      (w:1, o:322, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_Orel__compE__1'  [153, 6]      (w:1, o:320, a:1, s:1, b:0), 
% 0.88/1.27  'c_SetInterval_OatLeastAtMost'  [154, 3]      (w:1, o:272, a:1, s:1, b:0), 
% 0.88/1.27    
% 0.88/1.27  'c_SetInterval_OatLeastLessThan'  [155, 3]      (w:1, o:273, a:1, s:1, b:0)
% 0.88/1.27    , 
% 0.88/1.27  'c_SetInterval_OatMost'  [156, 2]      (w:1, o:245, a:1, s:1, b:0), 
% 0.88/1.27  'c_SetInterval_OgreaterThanAtMost'  [157, 3]      (w:1, o:274, a:1, s:1, b:
% 0.88/1.27    0), 
% 0.88/1.27  'c_SetInterval_OgreaterThanLessThan'  [158, 3]      (w:1, o:275, a:1, s:1
% 0.88/1.27    , b:0), 
% 0.88/1.27  'c_SetInterval_OlessThan'  [159, 2]      (w:1, o:246, a:1, s:1, b:0), 
% 0.88/1.27  'c_Inter'  [161, 2]      (w:1, o:247, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OInterI__1'  [162, 3]      (w:1, o:276, a:1, s:1, b:0), 
% 0.88/1.27  'c_UNIV'  [163, 0]      (w:1, o:70, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OUnionE__1'  [164, 3]      (w:1, o:277, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OsubsetI__1'  [165, 3]      (w:1, o:278, a:1, s:1, b:0), 
% 0.88/1.27  'c_Sum__Type_OInl'  [166, 3]      (w:1, o:279, a:1, s:1, b:0), 
% 0.88/1.27  'c_Sum__Type_OPlus'  [167, 4]      (w:1, o:304, a:1, s:1, b:0), 
% 0.88/1.27  'tc_sum'  [168, 2]      (w:1, o:248, a:1, s:1, b:0), 
% 0.88/1.27  'c_Sum__Type_OInr'  [169, 3]      (w:1, o:280, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OPlusE__1'  [170, 4]      (w:1, o:305, a:1, s:1, b:0), 
% 0.88/1.27  'c_Main_OPlusE__2'  [171, 4]      (w:1, o:306, a:1, s:1, b:0), 
% 0.88/1.27  'c_Transitive__Closure_Ortrancl'  [172, 2]      (w:1, o:230, a:1, s:1, b:0)
% 0.88/1.27    , 
% 0.88/1.27  'c_Transitive__Closure_Otrancl'  [173, 2]      (w:1, o:231, a:1, s:1, b:0)
% 0.88/1.27    , 
% 0.88/1.27  'c_Wellfounded__Relations_Oless__than'  [174, 0]      (w:1, o:71, a:1, s:1
% 0.88/1.27    , b:0), 
% 0.88/1.27  'c_Relation_Otrans'  [175, 2]      (w:1, o:244, a:1, s:1, b:0), 
% 0.88/1.27  'c_Wellfounded__Relations_Olex__prod'  [178, 4]      (w:1, o:307, a:1, s:1
% 0.88/1.27    , b:0), 
% 0.88/1.27  'tc_Datatype_Ooption'  [182, 1]      (w:1, o:114, a:1, s:1, b:0), 
% 0.88/1.27  'class_Finite__Set_Ofinite'  [183, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 0.88/1.27  'class_HOL_Ominus'  [184, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.88/1.27  'class_HOL_Oone'  [185, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 0.88/1.27  'class_Ring__and__Field_Osemiring'  [186, 1]      (w:1, o:120, a:1, s:1, b:
% 0.88/1.27    0), 
% 0.88/1.27  'class_Ring__and__Field_Ocomm__semiring'  [187, 1]      (w:1, o:123, a:1
% 0.88/1.27    , s:1, b:0), 
% 0.88/1.27  'class_OrderedGroup_Ocomm__monoid__add'  [188, 1]      (w:1, o:124, a:1, s:
% 0.88/1.27    1, b:0), 
% 0.88/1.27  'class_Ring__and__Field_Osemiring__0'  [189, 1]      (w:1, o:125, a:1, s:1
% 0.88/1.27    , b:0), 
% 0.88/1.27  'class_Ring__and__Field_Ocomm__semiring__0'  [190, 1]      (w:1, o:126, a:1
% 0.88/1.27    , s:1, b:0), 
% 0.88/1.27  'class_OrderedGroup_Ocancel__semigroup__add'  [191, 1]      (w:1, o:127, a:
% 0.88/1.27    1, s:1, b:0), 
% 0.88/1.27  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [192, 1]      (w:1, o:128
% 0.88/1.27    , a:1, s:1, b:0), 
% 0.88/1.27  'class_OrderedGroup_Oab__group__add'  [193, 1]      (w:1, o:129, a:1, s:1
% 0.88/1.27    , b:0), 
% 0.88/1.27  'class_Ring__and__Field_Osemiring__0__cancel'  [194, 1]      (w:1, o:130
% 0.88/1.27    , a:1, s:1, b:0), 
% 0.88/1.27  'class_Ring__and__Field_Oring'  [195, 1]      (w:1, o:118, a:1, s:1, b:0), 
% 0.88/1.27    
% 0.88/1.27  'class_HOL_Oplus'  [196, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 0.88/1.27  'class_Ring__and__Field_Ocomm__semiring__0__cancel'  [197, 1]      (w:1, o:
% 0.88/1.27    132, a:1, s:1, b:0), 
% 0.88/1.27  'class_Ring__and__Field_Ocomm__ring'  [198, 1]      (w:1, o:121, a:1, s:1
% 0.88/1.27    , b:0), 
% 0.88/1.27  'class_Ring__and__Field_Oaxclass__0__neq__1'  [199, 1]      (w:1, o:133, a:
% 0.88/1.27    1, s:1, b:0), 
% 0.88/1.27  'class_OrderedGroup_Omonoid__mult'  [200, 1]      (w:1, o:138, a:1, s:1, b:
% 0.88/1.27    0), 
% 0.88/1.27  'class_OrderedGroup_Ocomm__monoid__mult'  [201, 1]      (w:1, o:139, a:1
% 1.48/1.87    , s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Osemiring__1'  [202, 1]      (w:1, o:140, a:1, s:1
% 1.48/1.87    , b:0), 
% 1.48/1.87  'class_Ring__and__Field_Ocomm__semiring__1'  [203, 1]      (w:1, o:141, a:1
% 1.48/1.87    , s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Osemiring__1__cancel'  [204, 1]      (w:1, o:142
% 1.48/1.87    , a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Oring__1'  [205, 1]      (w:1, o:119, a:1, s:1, b:0
% 1.48/1.87    ), 
% 1.48/1.87  'class_Ring__and__Field_Ocomm__semiring__1__cancel'  [206, 1]      (w:1, o:
% 1.48/1.87    143, a:1, s:1, b:0), 
% 1.48/1.87  'class_HOL_Otimes'  [207, 1]      (w:1, o:144, a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Ocomm__ring__1'  [208, 1]      (w:1, o:122, a:1, s:
% 1.48/1.87    1, b:0), 
% 1.48/1.87  'class_LOrder_Omeet__semilorder'  [209, 1]      (w:1, o:146, a:1, s:1, b:0)
% 1.48/1.87    , 
% 1.48/1.87  'class_LOrder_Ojoin__semilorder'  [210, 1]      (w:1, o:147, a:1, s:1, b:0)
% 1.48/1.87    , 
% 1.48/1.87  'class_LOrder_Olorder'  [211, 1]      (w:1, o:145, a:1, s:1, b:0), 
% 1.48/1.87  'class_Orderings_Olinorder'  [212, 1]      (w:1, o:148, a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Opordered__ab__semigroup__add'  [213, 1]      (w:1, o:
% 1.48/1.87    150, a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [214, 1]      
% 1.48/1.87    (w:1, o:151, a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [215, 1]      
% 1.48/1.87    (w:1, o:152, a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'  [216, 1]      
% 1.48/1.87    (w:1, o:149, a:1, s:1, b:0), 
% 1.48/1.87  'class_HOL_Ozero'  [217, 1]      (w:1, o:153, a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Opordered__semiring'  [218, 1]      (w:1, o:161, a:
% 1.48/1.87    1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Opordered__cancel__semiring'  [219, 1]      (w:1
% 1.48/1.87    , o:162, a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Oordered__semiring__strict'  [220, 1]      (w:1, o:
% 1.48/1.87    155, a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Opordered__comm__semiring'  [221, 1]      (w:1, o:
% 1.48/1.87    164, a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Opordered__cancel__comm__semiring'  [222, 1]      
% 1.48/1.87    (w:1, o:165, a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [223, 1]      
% 1.48/1.87    (w:1, o:156, a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Oaxclass__abs__if'  [224, 1]      (w:1, o:166, a:1
% 1.48/1.87    , s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Opordered__ab__group__add'  [225, 1]      (w:1, o:167
% 1.48/1.87    , a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Olordered__ab__group'  [226, 1]      (w:1, o:134, a:1
% 1.48/1.87    , s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Opordered__ring'  [227, 1]      (w:1, o:160, a:1
% 1.48/1.87    , s:1, b:0), 
% 1.48/1.87  'class_Orderings_Oord'  [228, 1]      (w:1, o:168, a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Olordered__ab__group__abs'  [229, 1]      (w:1, o:135
% 1.48/1.87    , a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Olordered__ab__group__meet'  [230, 1]      (w:1, o:136
% 1.48/1.87    , a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Olordered__ab__group__join'  [231, 1]      (w:1, o:137
% 1.48/1.87    , a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Olordered__ring'  [232, 1]      (w:1, o:169, a:1
% 1.48/1.87    , s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Oaxclass__no__zero__divisors'  [233, 1]      (w:1
% 1.48/1.87    , o:170, a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Oordered__ring__strict'  [234, 1]      (w:1, o:154
% 1.48/1.87    , a:1, s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Oordered__semidom'  [235, 1]      (w:1, o:157, a:1
% 1.48/1.87    , s:1, b:0), 
% 1.48/1.87  'class_Ring__and__Field_Oidom'  [236, 1]      (w:1, o:171, a:1, s:1, b:0), 
% 1.48/1.87    
% 1.48/1.87  'class_Ring__and__Field_Oordered__idom'  [237, 1]      (w:1, o:158, a:1, s:
% 1.48/1.87    1, b:0), 
% 1.48/1.87  'class_Numeral_Onumber'  [238, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Osemigroup__add'  [239, 1]      (w:1, o:172, a:1, s:1
% 1.48/1.87    , b:0), 
% 1.48/1.87  'class_Numeral_Onumber__ring'  [240, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 1.48/1.87  'class_Divides_Odiv'  [241, 1]      (w:1, o:173, a:1, s:1, b:0), 
% 1.48/1.87  'class_Nat_Opower'  [242, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 1.48/1.87  'class_Power_Orecpower'  [243, 1]      (w:1, o:177, a:1, s:1, b:0), 
% 1.48/1.87  'class_Parity_Oeven__odd'  [244, 1]      (w:1, o:178, a:1, s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Oab__semigroup__add'  [245, 1]      (w:1, o:174, a:1
% 1.48/1.87    , s:1, b:0), 
% 1.48/1.87  'class_OrderedGroup_Osemigroup__mult'  [246, 1]      (w:1, o:175, a:1, s:1
% 1.48/1.87    , b:0), 
% 1.48/1.87  'class_OrderedGroup_Oab__semigroup__mult'  [247, 1]      (w:1, o:176, a:1
% 1.48/1.87    , s:1, b:0), 
% 6.97/7.35  'tc_Product__Type_Ounit'  [248, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 6.97/7.35  'tc_bool'  [249, 0]      (w:1, o:74, a:1, s:1, b:0), 
% 6.97/7.35  'tc_fun'  [251, 2]      (w:1, o:249, a:1, s:1, b:0), 
% 6.97/7.35  'class_Wellfounded__Recursion_Owellorder'  [252, 1]      (w:1, o:179, a:1
% 6.97/7.35    , s:1, b:0), 
% 6.97/7.35  'class_Ring__and__Field_Odivision__by__zero'  [254, 1]      (w:1, o:180, a:
% 6.97/7.35    1, s:1, b:0), 
% 6.97/7.35  'class_HOL_Oinverse'  [255, 1]      (w:1, o:181, a:1, s:1, b:0), 
% 6.97/7.35  'class_Ring__and__Field_Ofield'  [256, 1]      (w:1, o:182, a:1, s:1, b:0)
% 6.97/7.35    , 
% 6.97/7.35  'class_Ring__and__Field_Oordered__field'  [257, 1]      (w:1, o:159, a:1
% 6.97/7.35    , s:1, b:0), 
% 6.97/7.35  'class_Ring__and__Field_Opordered__comm__ring'  [258, 1]      (w:1, o:163
% 6.97/7.35    , a:1, s:1, b:0), 
% 6.97/7.35  'c_Datatype_Oo2s'  [260, 2]      (w:1, o:250, a:1, s:1, b:0), 
% 6.97/7.35  'c_Datatype_Ooption_OSome'  [261, 2]      (w:1, o:251, a:1, s:1, b:0), 
% 6.97/7.35  'c_Datatype_Ooption_ONone'  [262, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 6.97/7.35  'c_Main_Onot__None__eq__iff1__1'  [263, 2]      (w:1, o:237, a:1, s:1, b:0)
% 6.97/7.35    , 
% 6.97/7.35  'c_Main_Onot__Some__eq__iff1__1'  [264, 2]      (w:1, o:238, a:1, s:1, b:0)
% 6.97/7.35    , 
% 6.97/7.35  'c_Datatype__Universe_OAtom'  [266, 3]      (w:1, o:281, a:1, s:1, b:0), 
% 6.97/7.35  'c_Equiv__Relations_Oquotient'  [267, 3]      (w:1, o:282, a:1, s:1, b:0), 
% 6.97/7.35    
% 6.97/7.35  'c_Extraction_Osumbool_OLeft'  [268, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 6.97/7.35  'c_Extraction_Osumbool_ORight'  [269, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 6.97/7.35  'c_minus'  [270, 3]      (w:1, o:283, a:1, s:1, b:0), 
% 6.97/7.35  'c_Pow'  [271, 2]      (w:1, o:252, a:1, s:1, b:0), 
% 6.97/7.35  'c_union'  [272, 3]      (w:1, o:284, a:1, s:1, b:0), 
% 6.97/7.35  'c_append'  [274, 3]      (w:1, o:285, a:1, s:1, b:0), 
% 6.97/7.35  'c_List_Orev'  [275, 2]      (w:1, o:220, a:1, s:1, b:0), 
% 6.97/7.35  'c_List_Ochar_OChar'  [279, 2]      (w:1, o:218, a:1, s:1, b:0), 
% 6.97/7.35  'c_plus'  [284, 3]      (w:1, o:286, a:1, s:1, b:0), 
% 6.97/7.35  'c_Numeral_Obit_OB0'  [287, 0]      (w:1, o:87, a:1, s:1, b:0), 
% 6.97/7.35  'c_Numeral_Obit_OB1'  [288, 0]      (w:1, o:88, a:1, s:1, b:0), 
% 6.97/7.35  'c_SetInterval_OatLeast'  [290, 2]      (w:1, o:228, a:1, s:1, b:0), 
% 6.97/7.35  'c_SetInterval_OgreaterThan'  [291, 2]      (w:1, o:229, a:1, s:1, b:0), 
% 6.97/7.35  'c_Wellfounded__Recursion_Oacyclic'  [293, 2]      (w:1, o:253, a:1, s:1
% 6.97/7.35    , b:0), 
% 6.97/7.35  'c_Message_Oagent_OServer'  [294, 0]      (w:1, o:85, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Oagent_OFriend'  [296, 1]      (w:1, o:183, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Oagent_OSpy'  [297, 0]      (w:1, o:86, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Omsg_OAgent'  [300, 1]      (w:1, o:184, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Omsg_ONumber'  [302, 1]      (w:1, o:185, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Omsg_ONonce'  [303, 1]      (w:1, o:186, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Omsg_OKey'  [304, 1]      (w:1, o:187, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Omsg_OHash'  [306, 1]      (w:1, o:188, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Omsg_OMPair'  [310, 2]      (w:1, o:239, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Omsg_OCrypt'  [313, 2]      (w:1, o:240, a:1, s:1, b:0), 
% 6.97/7.35  'c_Message_Oparts'  [316, 1]      (w:1, o:189, a:1, s:1, b:0), 
% 6.97/7.35  'tc_Message_Omsg'  [317, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 6.97/7.35  'v_G'  [319, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 6.97/7.35  'v_H'  [320, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 6.97/7.35  'v_X'  [321, 0]      (w:1, o:98, a:1, s:1, b:0), 
% 6.97/7.35  'v_Y'  [322, 0]      (w:1, o:99, a:1, s:1, b:0).
% 6.97/7.35  
% 6.97/7.35  
% 6.97/7.35  Starting Search:
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  
% 6.97/7.35  Intermediate Status:
% 6.97/7.35  Generated:    3880
% 6.97/7.35  Kept:         2021
% 6.97/7.35  Inuse:        106
% 6.97/7.35  Deleted:      0
% 6.97/7.35  Deletedinuse: 0
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  
% 6.97/7.35  Intermediate Status:
% 6.97/7.35  Generated:    9628
% 6.97/7.35  Kept:         4055
% 6.97/7.35  Inuse:        286
% 6.97/7.35  Deleted:      0
% 6.97/7.35  Deletedinuse: 0
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  
% 6.97/7.35  Intermediate Status:
% 6.97/7.35  Generated:    15303
% 6.97/7.35  Kept:         6967
% 6.97/7.35  Inuse:        496
% 6.97/7.35  Deleted:      0
% 6.97/7.35  Deletedinuse: 0
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  
% 6.97/7.35  Intermediate Status:
% 6.97/7.35  Generated:    19997
% 6.97/7.35  Kept:         8983
% 6.97/7.35  Inuse:        529
% 6.97/7.35  Deleted:      2
% 6.97/7.35  Deletedinuse: 0
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  
% 6.97/7.35  Intermediate Status:
% 6.97/7.35  Generated:    28809
% 6.97/7.35  Kept:         11082
% 6.97/7.35  Inuse:        1174
% 6.97/7.35  Deleted:      2
% 6.97/7.35  Deletedinuse: 0
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  Resimplifying inuse:
% 6.97/7.35  Done
% 6.97/7.35  
% 6.97/7.35  
% 6.97/7.35  Intermediate Status:
% 6.97/7.35  Generated:    34816
% 6.97/7.35  Kept:         13650
% 6.97/7.35  Inuse:        1194
% 6.97/7.35  Deleted:      2
% 23.09/23.50  Deletedinuse: 0
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    41823
% 23.09/23.50  Kept:         15765
% 23.09/23.50  Inuse:        1209
% 23.09/23.50  Deleted:      2
% 23.09/23.50  Deletedinuse: 0
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    51764
% 23.09/23.50  Kept:         18001
% 23.09/23.50  Inuse:        1239
% 23.09/23.50  Deleted:      2
% 23.09/23.50  Deletedinuse: 0
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    57586
% 23.09/23.50  Kept:         20399
% 23.09/23.50  Inuse:        1254
% 23.09/23.50  Deleted:      3
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying clauses:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    63979
% 23.09/23.50  Kept:         22415
% 23.09/23.50  Inuse:        1314
% 23.09/23.50  Deleted:      54
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    71729
% 23.09/23.50  Kept:         24766
% 23.09/23.50  Inuse:        1339
% 23.09/23.50  Deleted:      54
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    77787
% 23.09/23.50  Kept:         27350
% 23.09/23.50  Inuse:        1364
% 23.09/23.50  Deleted:      54
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    84995
% 23.09/23.50  Kept:         29581
% 23.09/23.50  Inuse:        1379
% 23.09/23.50  Deleted:      54
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    96510
% 23.09/23.50  Kept:         32259
% 23.09/23.50  Inuse:        1404
% 23.09/23.50  Deleted:      54
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    101497
% 23.09/23.50  Kept:         34647
% 23.09/23.50  Inuse:        1419
% 23.09/23.50  Deleted:      54
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    112015
% 23.09/23.50  Kept:         37138
% 23.09/23.50  Inuse:        1434
% 23.09/23.50  Deleted:      54
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    117314
% 23.09/23.50  Kept:         39292
% 23.09/23.50  Inuse:        1448
% 23.09/23.50  Deleted:      54
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying clauses:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    127214
% 23.09/23.50  Kept:         42148
% 23.09/23.50  Inuse:        1469
% 23.09/23.50  Deleted:      779
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    135506
% 23.09/23.50  Kept:         44517
% 23.09/23.50  Inuse:        1479
% 23.09/23.50  Deleted:      779
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    147504
% 23.09/23.50  Kept:         47254
% 23.09/23.50  Inuse:        1494
% 23.09/23.50  Deleted:      779
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    156018
% 23.09/23.50  Kept:         49745
% 23.09/23.50  Inuse:        1504
% 23.09/23.50  Deleted:      779
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    167859
% 23.09/23.50  Kept:         52992
% 23.09/23.50  Inuse:        1544
% 23.09/23.50  Deleted:      779
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    174861
% 23.09/23.50  Kept:         56008
% 23.09/23.50  Inuse:        1559
% 23.09/23.50  Deleted:      779
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    180975
% 23.09/23.50  Kept:         58962
% 23.09/23.50  Inuse:        1569
% 23.09/23.50  Deleted:      779
% 23.09/23.50  Deletedinuse: 1
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying clauses:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    187252
% 23.09/23.50  Kept:         60993
% 23.09/23.50  Inuse:        1588
% 23.09/23.50  Deleted:      986
% 23.09/23.50  Deletedinuse: 2
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    198057
% 23.09/23.50  Kept:         63145
% 23.09/23.50  Inuse:        1594
% 23.09/23.50  Deleted:      986
% 23.09/23.50  Deletedinuse: 2
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    203291
% 23.09/23.50  Kept:         65178
% 23.09/23.50  Inuse:        1611
% 23.09/23.50  Deleted:      986
% 23.09/23.50  Deletedinuse: 2
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    213387
% 23.09/23.50  Kept:         69647
% 23.09/23.50  Inuse:        1624
% 23.09/23.50  Deleted:      986
% 23.09/23.50  Deletedinuse: 2
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    221633
% 23.09/23.50  Kept:         71745
% 23.09/23.50  Inuse:        1631
% 23.09/23.50  Deleted:      986
% 23.09/23.50  Deletedinuse: 2
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    227955
% 23.09/23.50  Kept:         73745
% 23.09/23.50  Inuse:        1648
% 23.09/23.50  Deleted:      986
% 23.09/23.50  Deletedinuse: 2
% 23.09/23.50  
% 23.09/23.50  Resimplifying inuse:
% 23.09/23.50  Done
% 23.09/23.50  
% 23.09/23.50  
% 23.09/23.50  Intermediate Status:
% 23.09/23.50  Generated:    236144
% 43.36/43.76  Kept:         75916
% 43.36/43.76  Inuse:        1654
% 43.36/43.76  Deleted:      986
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    242357
% 43.36/43.76  Kept:         77917
% 43.36/43.76  Inuse:        1670
% 43.36/43.76  Deleted:      986
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    252177
% 43.36/43.76  Kept:         80539
% 43.36/43.76  Inuse:        1679
% 43.36/43.76  Deleted:      986
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying clauses:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    258770
% 43.36/43.76  Kept:         82581
% 43.36/43.76  Inuse:        1696
% 43.36/43.76  Deleted:      999
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    268254
% 43.36/43.76  Kept:         84924
% 43.36/43.76  Inuse:        1704
% 43.36/43.76  Deleted:      999
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    276147
% 43.36/43.76  Kept:         87031
% 43.36/43.76  Inuse:        1724
% 43.36/43.76  Deleted:      999
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    289292
% 43.36/43.76  Kept:         90350
% 43.36/43.76  Inuse:        1739
% 43.36/43.76  Deleted:      999
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    297060
% 43.36/43.76  Kept:         92480
% 43.36/43.76  Inuse:        1756
% 43.36/43.76  Deleted:      999
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    302064
% 43.36/43.76  Kept:         94519
% 43.36/43.76  Inuse:        1767
% 43.36/43.76  Deleted:      999
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    307224
% 43.36/43.76  Kept:         96664
% 43.36/43.76  Inuse:        1779
% 43.36/43.76  Deleted:      999
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    312599
% 43.36/43.76  Kept:         98729
% 43.36/43.76  Inuse:        1791
% 43.36/43.76  Deleted:      999
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying clauses:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    318127
% 43.36/43.76  Kept:         100889
% 43.36/43.76  Inuse:        1804
% 43.36/43.76  Deleted:      1070
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    325365
% 43.36/43.76  Kept:         104384
% 43.36/43.76  Inuse:        1814
% 43.36/43.76  Deleted:      1070
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    330256
% 43.36/43.76  Kept:         106899
% 43.36/43.76  Inuse:        1819
% 43.36/43.76  Deleted:      1070
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    335754
% 43.36/43.76  Kept:         108952
% 43.36/43.76  Inuse:        1831
% 43.36/43.76  Deleted:      1070
% 43.36/43.76  Deletedinuse: 2
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    347478
% 43.36/43.76  Kept:         112883
% 43.36/43.76  Inuse:        1844
% 43.36/43.76  Deleted:      1071
% 43.36/43.76  Deletedinuse: 3
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    360036
% 43.36/43.76  Kept:         117558
% 43.36/43.76  Inuse:        1849
% 43.36/43.76  Deleted:      1071
% 43.36/43.76  Deletedinuse: 3
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    366820
% 43.36/43.76  Kept:         119582
% 43.36/43.76  Inuse:        1862
% 43.36/43.76  Deleted:      1071
% 43.36/43.76  Deletedinuse: 3
% 43.36/43.76  
% 43.36/43.76  Resimplifying inuse:
% 43.36/43.76  Done
% 43.36/43.76  
% 43.36/43.76  
% 43.36/43.76  Intermediate Status:
% 43.36/43.76  Generated:    375667
% 43.36/43.76  Kept:         121858
% 43.36/43.76  Inuse:        1864
% 43.36/43.76  Deleted:      1071
% 43.42/43.76  Deletedinuse: 3
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  Resimplifying clauses:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  
% 43.42/43.76  Intermediate Status:
% 43.42/43.76  Generated:    388333
% 43.42/43.76  Kept:         125269
% 43.42/43.76  Inuse:        1874
% 43.42/43.76  Deleted:      1170
% 43.42/43.76  Deletedinuse: 3
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  
% 43.42/43.76  Intermediate Status:
% 43.42/43.76  Generated:    395342
% 43.42/43.76  Kept:         127380
% 43.42/43.76  Inuse:        1890
% 43.42/43.76  Deleted:      1170
% 43.42/43.76  Deletedinuse: 3
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  
% 43.42/43.76  Intermediate Status:
% 43.42/43.76  Generated:    401796
% 43.42/43.76  Kept:         129502
% 43.42/43.76  Inuse:        1902
% 43.42/43.76  Deleted:      1170
% 43.42/43.76  Deletedinuse: 3
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  
% 43.42/43.76  Intermediate Status:
% 43.42/43.76  Generated:    408256
% 43.42/43.76  Kept:         131734
% 43.42/43.76  Inuse:        1914
% 43.42/43.76  Deleted:      1170
% 43.42/43.76  Deletedinuse: 3
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  
% 43.42/43.76  Intermediate Status:
% 43.42/43.76  Generated:    414869
% 43.42/43.76  Kept:         133830
% 43.42/43.76  Inuse:        1925
% 43.42/43.76  Deleted:      1170
% 43.42/43.76  Deletedinuse: 3
% 43.42/43.76  
% 43.42/43.76  Resimplifying inuse:
% 43.42/43.76  Done
% 43.42/43.76  
% 43.42/43.76  
% 43.42/43.76  Intermediate Status:
% 43.42/43.76  Generated:    425481
% 43.42/43.76  Kept:         136617
% 43.42/43.76  Inuse:        1929
% 43.42/43.77  Deleted:      1170
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    435888
% 43.42/43.77  Kept:         139538
% 43.42/43.77  Inuse:        1934
% 43.42/43.77  Deleted:      1170
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    446375
% 43.42/43.77  Kept:         142487
% 43.42/43.77  Inuse:        1939
% 43.42/43.77  Deleted:      1170
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  Resimplifying clauses:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    456942
% 43.42/43.77  Kept:         145464
% 43.42/43.77  Inuse:        1944
% 43.42/43.77  Deleted:      1177
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    467589
% 43.42/43.77  Kept:         148469
% 43.42/43.77  Inuse:        1949
% 43.42/43.77  Deleted:      1177
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    478316
% 43.42/43.77  Kept:         151502
% 43.42/43.77  Inuse:        1954
% 43.42/43.77  Deleted:      1177
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    489123
% 43.42/43.77  Kept:         154555
% 43.42/43.77  Inuse:        1959
% 43.42/43.77  Deleted:      1177
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    500872
% 43.42/43.77  Kept:         157666
% 43.42/43.77  Inuse:        1964
% 43.42/43.77  Deleted:      1177
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    512724
% 43.42/43.77  Kept:         160801
% 43.42/43.77  Inuse:        1969
% 43.42/43.77  Deleted:      1177
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    524721
% 43.42/43.77  Kept:         163964
% 43.42/43.77  Inuse:        1974
% 43.42/43.77  Deleted:      1177
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  Resimplifying clauses:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    531739
% 43.42/43.77  Kept:         166072
% 43.42/43.77  Inuse:        1985
% 43.42/43.77  Deleted:      1180
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Intermediate Status:
% 43.42/43.77  Generated:    538365
% 43.42/43.77  Kept:         168232
% 43.42/43.77  Inuse:        1996
% 43.42/43.77  Deleted:      1180
% 43.42/43.77  Deletedinuse: 3
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  Resimplifying inuse:
% 43.42/43.77  Done
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  Bliksems!, er is een bewijs:
% 43.42/43.77  % SZS status Unsatisfiable
% 43.42/43.77  % SZS output start Refutation
% 43.42/43.77  
% 43.42/43.77  clause( 1340, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 43.42/43.77    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 43.42/43.77    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 43.42/43.77  .
% 43.42/43.77  clause( 1343, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 43.42/43.77    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 43.42/43.77  .
% 43.42/43.77  clause( 1344, [ ~( 'c_in'( 'v_Y', 'c_Message_Oparts'( 'v_H' ), 
% 43.42/43.77    'tc_Message_Omsg' ) ) ] )
% 43.42/43.77  .
% 43.42/43.77  clause( 167635, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'v_Y' ), 
% 43.42/43.77    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 43.42/43.77  .
% 43.42/43.77  clause( 169940, [] )
% 43.42/43.77  .
% 43.42/43.77  
% 43.42/43.77  
% 43.42/43.77  % SZS output end Refutation
% 43.42/43.77  found a proof!
% 43.42/43.77  
% 43.42/43.77  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 43.42/43.77  
% 43.42/43.77  initialclauses(
% 43.42/43.77  [ clause( 169942, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 43.42/43.77  , clause( 169943, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 43.42/43.77  , clause( 169944, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 43.42/43.77     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 43.42/43.77    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 43.42/43.77    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 43.42/43.77    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 43.42/43.77    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 43.42/43.77  , clause( 169945, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 43.42/43.77     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 43.42/43.77    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 43.42/43.77  , clause( 169946, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 43.42/43.77     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 43.42/43.77    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 43.42/43.77  , clause( 169947, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 43.42/43.77    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 43.42/43.77    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 43.42/43.77    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 43.42/43.77    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 43.42/43.77  , clause( 169948, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U
% 43.42/43.77     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 43.42/43.77    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 43.42/43.77    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 43.42/43.77  , clause( 169949, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U
% 43.42/43.77     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 43.42/43.77    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 43.42/43.77  , clause( 169950, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U
% 43.42/43.77     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 43.42/43.77    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 43.42/43.77    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 43.42/43.77    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 43.42/43.77  , clause( 169951, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U
% 43.42/43.77     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 43.42/43.77    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 43.42/43.77    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 43.42/43.77    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 43.42/43.77  , clause( 169952, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 43.42/43.77    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 43.42/43.77    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 43.42/43.77  , clause( 169953, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 43.42/43.77    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 43.42/43.77    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 43.42/43.77    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 43.42/43.77  , clause( 169954, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 43.42/43.77    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 43.42/43.77    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 43.42/43.77  , clause( 169955, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 43.42/43.77  , clause( 169956, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 43.42/43.77  , clause( 169957, [ ~( 'c_in'( X, Y, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 43.42/43.77    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 43.42/43.77  , clause( 169958, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 43.42/43.77    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 43.42/43.77     ) ) ] )
% 43.42/43.77  , clause( 169959, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 169960, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 43.42/43.77    'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 169961, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U
% 43.42/43.77     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 43.42/43.77    , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 43.42/43.77  , clause( 169962, [ ~( 'c_in'( X, Y, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_Ousum'( Y, 
% 43.42/43.77    U, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 43.42/43.77  , clause( 169963, [ ~( 'c_in'( X, Y, 'tc_set'( 
% 43.42/43.77    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_Ousum'( U, 
% 43.42/43.77    Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 43.42/43.77  , clause( 169964, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 43.42/43.77  , clause( 169965, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 169966, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 169967, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 169968, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 43.42/43.77    , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 169969, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 
% 43.42/43.77    'tc_set'( X ) ) ] )
% 43.42/43.77  , clause( 169970, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 43.42/43.77     ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 43.42/43.77     ) ) ] )
% 43.42/43.77  , clause( 169971, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 43.42/43.77     ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 169972, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 43.42/43.77     ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 169973, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 43.42/43.77    'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 
% 43.42/43.77    'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 
% 43.42/43.77    'tc_set'( Y ) ) ] )
% 43.42/43.77  , clause( 169974, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 43.42/43.77    'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 43.42/43.77  , clause( 169975, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 43.42/43.77    'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 43.42/43.77  , clause( 169976, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 43.42/43.77    'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 43.42/43.77  , clause( 169977, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( 
% 43.42/43.77    Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 43.42/43.77  , clause( 169978, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 
% 43.42/43.77    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 169979, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 43.42/43.77    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 169980, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 169981, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 169982, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 
% 43.42/43.77    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 169983, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 
% 43.42/43.77    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 169984, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 
% 43.42/43.77    'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 
% 43.42/43.77    'tc_IntDef_Oint' ) ) ] )
% 43.42/43.77  , clause( 169985, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 43.42/43.77  , clause( 169986, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 43.42/43.77    , 'tc_set'( Y ) ) ] )
% 43.42/43.77  , clause( 169987, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 43.42/43.77    Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 169988, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 43.42/43.77     ) ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), 
% 43.42/43.77    Z ) ] )
% 43.42/43.77  , clause( 169989, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 43.42/43.77    , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 43.42/43.77  , clause( 169990, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y
% 43.42/43.77     ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 169991, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 43.42/43.77    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 43.42/43.77    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 43.42/43.77    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 43.42/43.77    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 43.42/43.77  , clause( 169992, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 43.42/43.77    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 43.42/43.77    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 43.42/43.77    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 43.42/43.77    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 43.42/43.77  , clause( 169993, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 43.42/43.77    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 43.42/43.77    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 43.42/43.77    'tc_prod'( Z, Z ) ) ] )
% 43.42/43.77  , clause( 169994, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 43.42/43.77    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 43.42/43.77    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 43.42/43.77    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 43.42/43.77    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 43.42/43.77  , clause( 169995, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 43.42/43.77    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 43.42/43.77    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 43.42/43.77    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 43.42/43.77    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 43.42/43.77  , clause( 169996, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 43.42/43.77    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 43.42/43.77    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 43.42/43.77    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 43.42/43.77    'tc_prod'( T, T ) ) ] )
% 43.42/43.77  , clause( 169997, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 43.42/43.77    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 43.42/43.77    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 43.42/43.77    'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 169998, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 43.42/43.77    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 43.42/43.77    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 43.42/43.77    'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 169999, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 43.42/43.77    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 
% 43.42/43.77    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 43.42/43.77  , clause( 170000, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 43.42/43.77    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 43.42/43.77  , clause( 170001, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( 
% 43.42/43.77    Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 43.42/43.77    , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 43.42/43.77  , clause( 170002, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 
% 43.42/43.77    'tc_List_Olist'( Y ) ) ] )
% 43.42/43.77  , clause( 170003, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 43.42/43.77    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 43.42/43.77    Y ) ) ] )
% 43.42/43.77  , clause( 170004, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 43.42/43.77    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 43.42/43.77     ) ) ] )
% 43.42/43.77  , clause( 170005, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170006, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170007, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 43.42/43.77  , clause( 170008, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170009, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, 
% 43.42/43.77    Y, X ) ] )
% 43.42/43.77  , clause( 170010, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 
% 43.42/43.77    'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 
% 43.42/43.77    'tc_prod'( Z, T ) ) ] )
% 43.42/43.77  , clause( 170011, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 43.42/43.77     ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 43.42/43.77  , clause( 170012, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), 
% 43.42/43.77    =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 43.42/43.77     ) ) ] )
% 43.42/43.77  , clause( 170013, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) )
% 43.42/43.77    , 'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 43.42/43.77  , clause( 170014, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) )
% 43.42/43.77    , 'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 
% 43.42/43.77    'tc_prod'( T, U ) ) ] )
% 43.42/43.77  , clause( 170015, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 43.42/43.77     ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 43.42/43.77     ), U ) ] )
% 43.42/43.77  , clause( 170016, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 
% 43.42/43.77    'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 
% 43.42/43.77    'tc_prod'( Z, T ) ) ] )
% 43.42/43.77  , clause( 170017, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 43.42/43.77     ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 43.42/43.77  , clause( 170018, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 43.42/43.77    'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 43.42/43.77    , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170019, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 43.42/43.77    'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 43.42/43.77     ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 43.42/43.77  , clause( 170020, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z
% 43.42/43.77    , Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 
% 43.42/43.77    'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 43.42/43.77  , clause( 170021, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z
% 43.42/43.77    , Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 43.42/43.77  , clause( 170022, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z )
% 43.42/43.77    , 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 43.42/43.77  , clause( 170023, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W )
% 43.42/43.77    , 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z
% 43.42/43.77    , X, T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 
% 43.42/43.77    'tc_prod'( T, U ) ) ] )
% 43.42/43.77  , clause( 170024, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W )
% 43.42/43.77    , 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z
% 43.42/43.77    , X, T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 
% 43.42/43.77    'tc_prod'( W, T ) ) ] )
% 43.42/43.77  , clause( 170025, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W )
% 43.42/43.77    , 'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 43.42/43.77    , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 43.42/43.77  , clause( 170026, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 43.42/43.77     ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 
% 43.42/43.77    'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 43.42/43.77     ), 'tc_prod'( V0, T ) ) ] )
% 43.42/43.77  , clause( 170027, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat'
% 43.42/43.77     ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 43.42/43.77  , clause( 170028, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 43.42/43.77    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ) ] )
% 43.42/43.77  , clause( 170029, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 43.42/43.77    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 43.42/43.77  , clause( 170030, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 43.42/43.77    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ) ] )
% 43.42/43.77  , clause( 170031, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 43.42/43.77  , clause( 170032, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 43.42/43.77    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 43.42/43.77  , clause( 170033, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 43.42/43.77    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ) ] )
% 43.42/43.77  , clause( 170034, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 43.42/43.77    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 43.42/43.77  , clause( 170035, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 43.42/43.77    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ) ] )
% 43.42/43.77  , clause( 170036, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 43.42/43.77  , clause( 170037, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 
% 43.42/43.77    'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 43.42/43.77  , clause( 170038, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 
% 43.42/43.77    'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 43.42/43.77  , clause( 170039, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 43.42/43.77  , clause( 170040, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 43.42/43.77    'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 43.42/43.77  , clause( 170041, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 43.42/43.77    'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 43.42/43.77  , clause( 170042, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 43.42/43.77  , clause( 170043, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 
% 43.42/43.77    Y, X, 'tc_set'( Z ) ) ) ] )
% 43.42/43.77  , clause( 170044, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 43.42/43.77    , Y, 'tc_set'( Z ) ) ] )
% 43.42/43.77  , clause( 170045, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 43.42/43.77    , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 43.42/43.77  , clause( 170046, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), 
% 43.42/43.77    =( X, Y ) ] )
% 43.42/43.77  , clause( 170047, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 43.42/43.77  , clause( 170048, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 
% 43.42/43.77    'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 43.42/43.77  , clause( 170049, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 
% 43.42/43.77    'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 43.42/43.77  , clause( 170050, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 43.42/43.77    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 43.42/43.77  , clause( 170051, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 43.42/43.77    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 43.42/43.77  , clause( 170052, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 43.42/43.77    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 43.42/43.77  , clause( 170053, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 43.42/43.77  , clause( 170054, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, 
% 43.42/43.77    Z, T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 43.42/43.77  , clause( 170055, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, 
% 43.42/43.77    Z, T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 43.42/43.77  , clause( 170056, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 43.42/43.77    'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 43.42/43.77    , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 43.42/43.77    , T ), U, T ) ) ] )
% 43.42/43.77  , clause( 170057, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 43.42/43.77    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), 
% 43.42/43.77    =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 43.42/43.77  , clause( 170058, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 43.42/43.77    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 43.42/43.77    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 43.42/43.77  , clause( 170059, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 43.42/43.77    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 43.42/43.77    'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 43.42/43.77  , clause( 170060, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 43.42/43.77    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 43.42/43.77  , clause( 170061, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 43.42/43.77    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 43.42/43.77  , clause( 170062, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 43.42/43.77     ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 43.42/43.77    , Z ), 'tc_prod'( Z, Z ) ) ] )
% 43.42/43.77  , clause( 170063, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 43.42/43.77    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 43.42/43.77    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 43.42/43.77    'tc_prod'( Z, Z ) ) ] )
% 43.42/43.77  , clause( 170064, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 43.42/43.77  , clause( 170065, [ 'c_Relation_Otrans'( 
% 43.42/43.77    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170066, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 
% 43.42/43.77    'c_Relation_Otrans'( Z, T ) ), 'c_Relation_Otrans'( 
% 43.42/43.77    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170067, [ 'c_Wellfounded__Recursion_Owf'( 
% 43.42/43.77    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170068, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 43.42/43.77    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 43.42/43.77    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170069, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 43.42/43.77     ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 43.42/43.77  , clause( 170070, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170071, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170072, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170073, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170074, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170075, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170076, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170077, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170078, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170079, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170080, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170081, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170082, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170083, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170084, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170085, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170086, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170087, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170088, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170089, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170090, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170091, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170092, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170093, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170094, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170095, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170096, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170097, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170098, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170099, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170100, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170101, [ 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170102, [ 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170103, [ 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170104, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170105, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170106, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170107, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170108, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170109, [ 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170110, [ 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170111, [ 'class_Ring__and__Field_Oaxclass__abs__if'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170112, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170113, [ 'class_OrderedGroup_Olordered__ab__group'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170114, [ 'class_Ring__and__Field_Opordered__ring'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170115, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170116, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170117, [ 'class_OrderedGroup_Olordered__ab__group__meet'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170118, [ 'class_OrderedGroup_Olordered__ab__group__join'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170119, [ 'class_Ring__and__Field_Olordered__ring'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170120, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170121, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170122, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170123, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170124, [ 'class_Ring__and__Field_Oordered__idom'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170125, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170126, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170127, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170128, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170129, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170130, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170131, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170132, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170133, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170134, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 170135, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170136, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 43.42/43.77  , clause( 170137, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 43.42/43.77    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170138, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 43.42/43.77  , clause( 170139, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170140, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170141, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170142, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170143, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170144, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170145, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170146, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170147, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170148, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170149, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170150, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170151, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170152, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170153, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170154, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170155, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170156, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170157, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170158, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170159, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170160, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 170161, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170162, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170163, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170164, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 170165, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 170166, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 170167, [ 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170168, [ 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170169, [ 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170170, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat'
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170171, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 170172, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 170173, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170174, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 170175, [ 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170176, [ 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170177, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170178, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170179, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170180, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170181, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170182, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170183, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170184, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170185, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170186, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 43.42/43.77  , clause( 170187, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 43.42/43.77    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170188, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 43.42/43.77  , clause( 170189, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 43.42/43.77  , clause( 170190, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 43.42/43.77  , clause( 170191, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 43.42/43.77    'class_Finite__Set_Ofinite'( X ) ) ] )
% 43.42/43.77  , clause( 170192, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 43.42/43.77  , clause( 170193, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 43.42/43.77    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 170194, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170195, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170196, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170197, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170198, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170199, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170200, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170201, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170202, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170203, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170204, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170205, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170206, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170207, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170208, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170209, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170210, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170211, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170212, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170213, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 43.42/43.77  , clause( 170214, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170215, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170216, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170217, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170218, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170219, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170220, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 43.42/43.77  , clause( 170221, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170222, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring__1'( X ) ] )
% 43.42/43.77  , clause( 170223, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170224, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 43.42/43.77  , clause( 170225, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170226, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Numeral_Onumber'( X ) ] )
% 43.42/43.77  , clause( 170227, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170228, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170229, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170230, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170231, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170232, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170233, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170234, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170235, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170236, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170237, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170238, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170239, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170240, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170241, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170242, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170243, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170244, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170245, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 43.42/43.77     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170246, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 43.42/43.77     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170247, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 43.42/43.77     ) ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170248, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 43.42/43.77     ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170249, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170250, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 43.42/43.77    , 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170251, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170252, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170253, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170254, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170255, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170256, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170257, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170258, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170259, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170260, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170261, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170262, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170263, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170264, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170265, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170266, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170267, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170268, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170269, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170270, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170271, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170272, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170273, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170274, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170275, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170276, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170277, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170278, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 43.42/43.77  , clause( 170279, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170280, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170281, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170282, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170283, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170284, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170285, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170286, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170287, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170288, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170289, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170290, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170291, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170292, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170293, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170294, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170295, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170296, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170297, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170298, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170299, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170300, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170301, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170302, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170303, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170304, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170305, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 43.42/43.77  , clause( 170306, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170307, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170308, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170309, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170310, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170311, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170312, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170313, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170314, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170315, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 43.42/43.77     ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170316, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170317, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170318, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170319, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170320, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170321, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170322, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170323, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170324, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 43.42/43.77  , clause( 170325, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170326, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170327, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170328, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170329, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170330, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170331, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170332, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170333, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170334, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 43.42/43.77     ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170335, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170336, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170337, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170338, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170339, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170340, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170341, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170342, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170343, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170344, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170345, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170346, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170347, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170348, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170349, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170350, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170351, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_Orderings_Olinorder'( X ) ] )
% 43.42/43.77  , clause( 170352, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170353, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170354, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170355, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170356, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170357, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170358, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170359, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170360, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170361, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170362, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170363, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170364, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170365, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170366, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 43.42/43.77    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170367, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 43.42/43.77    X ) ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170368, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170369, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170370, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 43.42/43.77    X ) ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170371, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170372, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170373, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170374, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170375, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170376, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170377, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170378, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170379, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170380, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170381, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170382, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170383, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170384, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170385, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170386, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170387, [ ~( 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170388, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170389, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170390, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 43.42/43.77    'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170391, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170392, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170393, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170394, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170395, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170396, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( 
% 43.42/43.77    X ) ] )
% 43.42/43.77  , clause( 170397, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170398, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170399, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170400, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170401, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170402, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170403, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170404, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170405, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170406, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 43.42/43.77  , clause( 170407, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170408, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170409, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170410, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170411, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170412, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170413, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170414, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170415, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 170416, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170417, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170418, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( 
% 43.42/43.77    X ) ] )
% 43.42/43.77  , clause( 170419, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170420, [ ~( 'class_Power_Orecpower'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170421, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) )
% 43.42/43.77    , 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170422, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) )
% 43.42/43.77    , 'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170423, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170424, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170425, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170426, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170427, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170428, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170429, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170430, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170431, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170432, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170433, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170434, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170435, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170436, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170437, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170438, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170439, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170440, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170441, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170442, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170443, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170444, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170445, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170446, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170447, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 43.42/43.77  , clause( 170448, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170449, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170450, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170451, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170452, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170453, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170454, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170455, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170456, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170457, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170458, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170459, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170460, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 43.42/43.77  , clause( 170461, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170462, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170463, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170464, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170465, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170466, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring__1'( X ) ] )
% 43.42/43.77  , clause( 170467, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170468, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170469, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170470, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170471, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170472, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170473, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170474, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170475, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170476, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170477, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170478, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170479, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170480, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170481, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170482, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170483, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170484, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170485, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170486, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170487, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170488, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170489, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170490, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170491, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170492, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170493, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170494, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170495, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170496, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170497, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170498, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170499, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170500, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170501, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170502, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170503, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170504, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170505, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170506, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170507, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170508, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170509, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170510, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170511, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170512, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170513, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170514, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170515, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170516, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170517, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170518, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170519, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170520, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170521, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170522, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170523, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170524, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170525, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170526, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 43.42/43.77  , clause( 170527, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170528, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170529, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170530, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170531, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170532, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170533, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170534, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170535, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170536, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170537, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170538, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170539, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170540, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170541, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170542, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170543, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170544, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170545, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170546, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170547, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170548, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170549, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 43.42/43.77    , 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170550, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 43.42/43.77    , 'class_HOL_Oinverse'( X ) ] )
% 43.42/43.77  , clause( 170551, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 43.42/43.77  , clause( 170552, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 43.42/43.77  , clause( 170553, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170554, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170555, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170556, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170557, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170558, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170559, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170560, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170561, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170562, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170563, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring__1'( X ) ] )
% 43.42/43.77  , clause( 170564, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170565, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170566, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170567, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170568, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170569, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170570, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170571, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170572, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170573, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170574, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170575, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_HOL_Oinverse'( X ) ] )
% 43.42/43.77  , clause( 170576, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oidom'( X ) ] )
% 43.42/43.77  , clause( 170577, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 43.42/43.77  , clause( 170578, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170579, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170580, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170581, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 43.42/43.77  , clause( 170582, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170583, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170584, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 43.42/43.77  , clause( 170585, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 43.42/43.77  , clause( 170586, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170587, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170588, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170589, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170590, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170591, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170592, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170593, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170594, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170595, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170596, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring__1'( X ) ] )
% 43.42/43.77  , clause( 170597, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170598, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170599, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170600, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170601, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170602, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170603, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170604, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170605, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170606, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170607, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170608, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 43.42/43.77  , clause( 170609, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170610, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170611, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170612, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 43.42/43.77  , clause( 170613, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170614, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170615, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 43.42/43.77  , clause( 170616, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170617, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170618, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170619, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170620, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170621, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170622, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170623, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170624, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170625, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170626, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170627, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170628, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170629, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170630, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170631, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170632, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 43.42/43.77  , clause( 170633, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 43.42/43.77  , clause( 170634, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170635, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170636, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170637, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 43.42/43.77  , clause( 170638, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170639, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 43.42/43.77  , clause( 170640, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170641, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170642, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170643, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 43.42/43.77  , clause( 170644, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170645, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170646, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170647, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170648, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170649, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170650, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170651, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Orderings_Olinorder'( X ) ] )
% 43.42/43.77  , clause( 170652, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170653, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170654, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170655, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170656, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170657, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170658, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170659, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170660, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170661, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170662, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170663, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 43.42/43.77  , clause( 170664, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 43.42/43.77  , clause( 170665, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170666, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170667, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170668, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170669, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170670, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170671, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170672, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170673, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170674, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170675, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170676, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ofield'( X ) ] )
% 43.42/43.77  , clause( 170677, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_HOL_Oinverse'( X ) ] )
% 43.42/43.77  , clause( 170678, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 43.42/43.77  , clause( 170679, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170680, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170681, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170682, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170683, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170684, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170685, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170686, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170687, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170688, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oidom'( X ) ] )
% 43.42/43.77  , clause( 170689, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170690, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170691, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170692, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170693, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170694, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170695, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170696, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170697, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170698, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170699, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 43.42/43.77  , clause( 170700, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170701, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 43.42/43.77  , clause( 170702, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170703, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170704, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 43.42/43.77  , clause( 170705, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 43.42/43.77  , clause( 170706, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170707, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170708, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 43.42/43.77  , clause( 170709, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 43.42/43.77  , clause( 170710, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 43.42/43.77  , clause( 170711, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170712, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Orderings_Olinorder'( X ) ] )
% 43.42/43.77  , clause( 170713, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 43.42/43.77  , clause( 170714, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 43.42/43.77  , clause( 170715, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 43.42/43.77  , clause( 170716, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 43.42/43.77  , clause( 170717, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170718, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 43.42/43.77  , clause( 170719, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 43.42/43.77  , clause( 170720, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 43.42/43.77  , clause( 170721, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring__1'( X ) ] )
% 43.42/43.77  , clause( 170722, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 43.42/43.77  , clause( 170723, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170724, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170725, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170726, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170727, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170728, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170729, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170730, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170731, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170732, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170733, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 43.42/43.77  , clause( 170734, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170735, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170736, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170737, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 43.42/43.77  , clause( 170738, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 43.42/43.77  , clause( 170739, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170740, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170741, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170742, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170743, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170744, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170745, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170746, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170747, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170748, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170749, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring__1'( X ) ] )
% 43.42/43.77  , clause( 170750, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170751, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170752, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170753, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170754, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170755, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170756, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170757, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170758, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170759, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170760, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170761, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 43.42/43.77  , clause( 170762, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 43.42/43.77  , clause( 170763, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170764, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Orderings_Olinorder'( X ) ] )
% 43.42/43.77  , clause( 170765, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170766, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170767, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170768, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170769, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170770, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170771, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170772, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 43.42/43.77  , clause( 170773, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170774, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170775, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170776, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170777, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170778, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 43.42/43.77  , clause( 170779, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 43.42/43.77  , clause( 170780, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 43.42/43.77  , clause( 170781, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 43.42/43.77  , clause( 170782, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170783, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 43.42/43.77  , clause( 170784, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 43.42/43.77  , clause( 170785, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 43.42/43.77  , clause( 170786, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 43.42/43.77  , clause( 170787, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170788, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 43.42/43.77  , clause( 170789, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 43.42/43.77  , clause( 170790, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oidom'( X ) ] )
% 43.42/43.77  , clause( 170791, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170792, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 43.42/43.77  , clause( 170793, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170794, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170795, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170796, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170797, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170798, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170799, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170800, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170801, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170802, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 43.42/43.77  , clause( 170803, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170804, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Orderings_Olinorder'( X ) ] )
% 43.42/43.77  , clause( 170805, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170806, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170807, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170808, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170809, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170810, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170811, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 43.42/43.77  , clause( 170812, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170813, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170814, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170815, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170816, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 43.42/43.77  , clause( 170817, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 43.42/43.77  , clause( 170818, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170819, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170820, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 43.42/43.77  , clause( 170821, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 43.42/43.77  , clause( 170822, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 43.42/43.77  , clause( 170823, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 43.42/43.77  , clause( 170824, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 43.42/43.77  , clause( 170825, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 43.42/43.77  , clause( 170826, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170827, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170828, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170829, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170830, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170831, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 43.42/43.77     ), 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170832, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170833, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 43.42/43.77  , clause( 170834, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170835, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170836, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170837, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170838, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170839, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170840, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170841, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170842, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170843, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170844, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170845, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170846, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170847, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170848, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170849, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 43.42/43.77  , clause( 170850, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 43.42/43.77  , clause( 170851, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170852, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Orderings_Olinorder'( X ) ] )
% 43.42/43.77  , clause( 170853, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170854, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170855, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 170856, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170857, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170858, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170859, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170860, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 43.42/43.77  , clause( 170861, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170862, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170863, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170864, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170865, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170866, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 170867, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 170868, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 170869, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 170870, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170871, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170872, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170873, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170874, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 43.42/43.77  , clause( 170875, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 170876, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170877, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 170878, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170879, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170880, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170881, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170882, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170883, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170884, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170885, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170886, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170887, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 43.42/43.77  , clause( 170888, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170889, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170890, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170891, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170892, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170893, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170894, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170895, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 43.42/43.77     )
% 43.42/43.77  , clause( 170896, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170897, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170898, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170899, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170900, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170901, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170902, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170903, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170904, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170905, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170906, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170907, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 43.42/43.77  , clause( 170908, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170909, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170910, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170911, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170912, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170913, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170914, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170915, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170916, [ ~( 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170917, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170918, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170919, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170920, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170921, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170922, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170923, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170924, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170925, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170926, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170927, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170928, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170929, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170930, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170931, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170932, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170933, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 43.42/43.77  , clause( 170934, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170935, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170936, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170937, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170938, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170939, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170940, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170941, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170942, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170943, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170944, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170945, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170946, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170947, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170948, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170949, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170950, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170951, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170952, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170953, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170954, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170955, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170956, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170957, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 43.42/43.77     ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170958, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 43.42/43.77  , clause( 170959, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 43.42/43.77  , clause( 170960, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170961, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170962, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170963, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170964, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170965, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170966, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170967, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170968, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170969, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170970, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170971, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170972, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170973, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 43.42/43.77    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170974, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 170975, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170976, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 170977, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170978, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170979, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 170980, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 170981, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 43.42/43.77  , clause( 170982, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170983, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 170984, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 170985, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 43.42/43.77  , clause( 170986, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 170987, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 43.42/43.77  , clause( 170988, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170989, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 43.42/43.77  , clause( 170990, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 170991, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170992, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 170993, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170994, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170995, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 170996, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 170997, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 170998, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 170999, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 171000, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 171001, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 171002, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 171003, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 171004, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171005, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171006, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 171007, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 171008, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171009, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 171010, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171011, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171012, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171013, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 171014, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 171015, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171016, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 171017, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 171018, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 171019, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 171020, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 171021, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 171022, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 171023, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oring'( X ) ] )
% 43.42/43.77  , clause( 171024, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 43.42/43.77  , clause( 171025, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 171026, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171027, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171028, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 171029, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 171030, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 171031, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 171032, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 171033, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 171034, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 43.42/43.77  , clause( 171035, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Ominus'( X ) ] )
% 43.42/43.77  , clause( 171036, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 171037, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171038, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171039, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 171040, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 171041, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 171042, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 171043, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171044, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171045, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 171046, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 171047, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 171048, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 171049, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171050, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171051, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 171052, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 171053, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 171054, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 171055, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 171056, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 171057, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 171058, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171059, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 171060, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 171061, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 171062, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171063, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171064, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 171065, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 171066, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171067, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 171068, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 171069, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 171070, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 171071, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 171072, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 171073, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 171074, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 171075, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 171076, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 171077, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171078, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 43.42/43.77    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171079, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 43.42/43.77  , clause( 171080, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 43.42/43.77  , clause( 171081, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_HOL_Oone'( X ) ] )
% 43.42/43.77  , clause( 171082, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 43.42/43.77  , clause( 171083, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_HOL_Otimes'( X ) ] )
% 43.42/43.77  , clause( 171084, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171085, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171086, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 43.42/43.77  , clause( 171087, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 43.42/43.77  , clause( 171088, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 43.42/43.77  , clause( 171089, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 43.42/43.77  , clause( 171090, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_HOL_Ozero'( X ) ] )
% 43.42/43.77  , clause( 171091, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171092, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 43.42/43.77  , clause( 171093, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_HOL_Oplus'( X ) ] )
% 43.42/43.77  , clause( 171094, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 43.42/43.77    , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 43.42/43.77  , clause( 171095, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oord'( X ) ] )
% 43.42/43.77  , clause( 171096, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Oorder'( X ) ] )
% 43.42/43.77  , clause( 171097, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 43.42/43.77    'class_LOrder_Omeet__semilorder'( X ) ] )
% 43.42/43.77  , clause( 171098, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 43.42/43.77    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 43.42/43.77  , clause( 171099, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 43.42/43.77    'class_LOrder_Olorder'( X ) ] )
% 43.42/43.77  , clause( 171100, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 43.42/43.77    'class_Orderings_Olinorder'( X ) ] )
% 43.42/43.77  , clause( 171101, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 43.42/43.77    'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 43.42/43.77  , clause( 171102, [ 'c_in'( X, 'c_Datatype_Oo2s'( 
% 43.42/43.77    'c_Datatype_Ooption_OSome'( X, Y ), Y ), Y ) ] )
% 43.42/43.77  , clause( 171103, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 43.42/43.77    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 171104, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 43.42/43.77    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 171105, [ ~( =( 'c_Datatype_Ooption_ONone', 
% 43.42/43.77    'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 43.42/43.77  , clause( 171106, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 43.42/43.77    'c_Datatype_Ooption_ONone' ) ) ] )
% 43.42/43.77  , clause( 171107, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 43.42/43.77    'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 43.42/43.77  , clause( 171108, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 43.42/43.77  , clause( 171109, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 43.42/43.77  , clause( 171110, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 43.42/43.77  , clause( 171111, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 43.42/43.77  , clause( 171112, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 43.42/43.77  , clause( 171113, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 43.42/43.77  , clause( 171114, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 43.42/43.77  , clause( 171115, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 43.42/43.77  , clause( 171116, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 43.42/43.77  , clause( 171117, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 43.42/43.77    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 43.42/43.77  , clause( 171118, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 43.42/43.77    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 43.42/43.77  , clause( 171119, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 43.42/43.77    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 43.42/43.77  , clause( 171120, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 43.42/43.77    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 43.42/43.77  , clause( 171121, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 43.42/43.77    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 43.42/43.77  , clause( 171122, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 43.42/43.77    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 43.42/43.77  , clause( 171123, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 
% 43.42/43.77    'c_0' ) ] )
% 43.42/43.77  , clause( 171124, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 43.42/43.77  , clause( 171125, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, 
% 43.42/43.77    Y, Z ) ) ), =( X, 'c_emptyset' ) ] )
% 43.42/43.77  , clause( 171126, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 
% 43.42/43.77    'c_emptyset', X, Y ) ) ] )
% 43.42/43.77  , clause( 171127, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 
% 43.42/43.77    'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 43.42/43.77  , clause( 171128, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 43.42/43.77    , 'c_emptyset' ) ] )
% 43.42/43.77  , clause( 171129, [ ~( =( 'c_Extraction_Osumbool_OLeft', 
% 43.42/43.77    'c_Extraction_Osumbool_ORight' ) ) ] )
% 43.42/43.77  , clause( 171130, [ ~( =( 'c_Extraction_Osumbool_ORight', 
% 43.42/43.77    'c_Extraction_Osumbool_OLeft' ) ) ] )
% 43.42/43.77  , clause( 171131, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 
% 43.42/43.77    'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 
% 43.42/43.77    'c_minus'( X, Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T )
% 43.42/43.77     ) ] )
% 43.42/43.77  , clause( 171132, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 
% 43.42/43.77    'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 
% 43.42/43.77    'tc_set'( Z ) ) ] )
% 43.42/43.77  , clause( 171133, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 
% 43.42/43.77    'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 
% 43.42/43.77    'tc_set'( Y ) ) ] )
% 43.42/43.77  , clause( 171134, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 43.42/43.77     ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( 
% 43.42/43.77    Y ) ) ) ] )
% 43.42/43.77  , clause( 171135, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X, 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 43.42/43.77  , clause( 171136, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y, 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 43.42/43.77  , clause( 171137, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 43.42/43.77     ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 43.42/43.77    'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 43.42/43.77  , clause( 171138, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 43.42/43.77  , clause( 171139, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 43.42/43.77    'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 43.42/43.77    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 43.42/43.77  , clause( 171140, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, 
% 43.42/43.77    Z, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 171141, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, 
% 43.42/43.77    Z, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 
% 43.42/43.77    'tc_nat' ) ] )
% 43.42/43.77  , clause( 171142, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 
% 43.42/43.77    'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 
% 43.42/43.77    'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 43.42/43.77  , clause( 171143, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 
% 43.42/43.77    'tc_nat' ) ) ) ] )
% 43.42/43.77  , clause( 171144, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), 
% 43.42/43.77    =( X, Y ) ] )
% 43.42/43.77  , clause( 171145, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 
% 43.42/43.77    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 171146, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 43.42/43.77    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 171147, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 43.42/43.77    , =( X, 'c_0' ) ] )
% 43.42/43.77  , clause( 171148, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' )
% 43.42/43.77     ] )
% 43.42/43.77  , clause( 171149, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 
% 43.42/43.77    'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 171150, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 43.42/43.77    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 43.42/43.77    'tc_IntDef_Oint' ) ] )
% 43.42/43.77  , clause( 171151, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 43.42/43.77    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 43.42/43.77    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 43.42/43.77  , clause( 171152, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 43.42/43.77    =( X, 'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171153, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 43.42/43.77    =( Y, 'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171154, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 43.42/43.77    , 'c_List_Olist_ONil', X ) ) ] )
% 43.42/43.77  , clause( 171155, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), 
% 43.42/43.77    =( X, 'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171156, [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 
% 43.42/43.77    'c_List_Olist_ONil', X ) ) ] )
% 43.42/43.77  , clause( 171157, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 43.42/43.77    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 43.42/43.77    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 43.42/43.77  , clause( 171158, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 43.42/43.77    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 43.42/43.77    'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 43.42/43.77  , clause( 171159, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 43.42/43.77    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 43.42/43.77    'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 43.42/43.77  , clause( 171160, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 43.42/43.77     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 43.42/43.77    'tc_List_Olist'( Z ) ) ] )
% 43.42/43.77  , clause( 171161, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 43.42/43.77     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 43.42/43.77    'tc_List_Olist'( Z ) ) ] )
% 43.42/43.77  , clause( 171162, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 43.42/43.77    Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 43.42/43.77    , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 43.42/43.77    Z ) ) ] )
% 43.42/43.77  , clause( 171163, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 43.42/43.77    =( X, 'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171164, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 43.42/43.77    =( Y, 'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171165, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 43.42/43.77    , X ), 'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171166, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) )
% 43.42/43.77    , =( X, T ) ] )
% 43.42/43.77  , clause( 171167, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 
% 43.42/43.77    'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171168, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 43.42/43.77  , clause( 171169, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 
% 43.42/43.77    'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171170, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 43.42/43.77  , clause( 171171, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 
% 43.42/43.77    'c_List_Ochar_OChar'( Z, T ) ) ), =( X, Z ) ] )
% 43.42/43.77  , clause( 171172, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 
% 43.42/43.77    'c_List_Ochar_OChar'( Z, T ) ) ), =( Y, T ) ] )
% 43.42/43.77  , clause( 171173, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 43.42/43.77     ), =( X, 'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171174, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( 
% 43.42/43.77    X ) ), 'c_0' ) ] )
% 43.42/43.77  , clause( 171175, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil'
% 43.42/43.77    , 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 43.42/43.77  , clause( 171176, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 43.42/43.77     ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171177, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 43.42/43.77    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 
% 43.42/43.77    'c_List_Oremdups'( X, Y ), X ) ] )
% 43.42/43.77  , clause( 171178, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 
% 43.42/43.77    'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 
% 43.42/43.77    'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 43.42/43.77  , clause( 171179, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, 
% 43.42/43.77    Z ) ) ) ] )
% 43.42/43.77  , clause( 171180, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 43.42/43.77    'c_List_Olist_ONil' ) ) ] )
% 43.42/43.77  , clause( 171181, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 43.42/43.77    'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 43.42/43.77  , clause( 171182, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 43.42/43.77    'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 43.42/43.77  , clause( 171183, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 43.42/43.77    , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( 
% 43.42/43.77    Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 43.42/43.77  , clause( 171184, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 43.42/43.77    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 43.42/43.77    'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 43.42/43.77  , clause( 171185, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), 
% 43.42/43.77    =( X, 'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171186, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 
% 43.42/43.77    'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171187, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) )
% 43.42/43.77    , =( X, Z ) ] )
% 43.42/43.77  , clause( 171188, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) )
% 43.42/43.77    , =( Y, T ) ] )
% 43.42/43.77  , clause( 171189, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 
% 43.42/43.77    'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171190, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 43.42/43.77  , clause( 171191, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 
% 43.42/43.77    'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171192, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 43.42/43.77  , clause( 171193, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 43.42/43.77    'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171194, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X
% 43.42/43.77     ) ) ] )
% 43.42/43.77  , clause( 171195, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 43.42/43.77    'c_List_Olist_ONil' ) ] )
% 43.42/43.77  , clause( 171196, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 
% 43.42/43.77    'c_emptyset' ) ] )
% 43.42/43.77  , clause( 171197, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 43.42/43.77  , clause( 171198, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 43.42/43.77     ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 43.42/43.77  , clause( 171199, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 43.42/43.77    'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 43.42/43.77  , clause( 171200, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 43.42/43.77    'c_less'( X, Y, 'tc_nat' ) ] )
% 43.42/43.78  , clause( 171201, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 43.42/43.78    , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 43.42/43.78  , clause( 171202, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 43.42/43.78  , clause( 171203, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 43.42/43.78  , clause( 171204, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 
% 43.42/43.78    'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 
% 43.42/43.78    'tc_nat' ) ] )
% 43.42/43.78  , clause( 171205, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 43.42/43.78    'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 43.42/43.78  , clause( 171206, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 43.42/43.78    'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 43.42/43.78  , clause( 171207, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 
% 43.42/43.78    'c_0' ) ] )
% 43.42/43.78  , clause( 171208, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 
% 43.42/43.78    'c_0' ) ] )
% 43.42/43.78  , clause( 171209, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 43.42/43.78  , clause( 171210, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0'
% 43.42/43.78     ) ] )
% 43.42/43.78  , clause( 171211, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 43.42/43.78  , clause( 171212, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 43.42/43.78    'c_0' ) ] )
% 43.42/43.78  , clause( 171213, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 43.42/43.78  , clause( 171214, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 43.42/43.78  , clause( 171215, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 43.42/43.78  , clause( 171216, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 43.42/43.78  , clause( 171217, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 43.42/43.78  , clause( 171218, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' )
% 43.42/43.78     ) ] )
% 43.42/43.78  , clause( 171219, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' )
% 43.42/43.78     ) ] )
% 43.42/43.78  , clause( 171220, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 43.42/43.78  , clause( 171221, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 43.42/43.78     )
% 43.42/43.78  , clause( 171222, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 43.42/43.78     )
% 43.42/43.78  , clause( 171223, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, 
% 43.42/43.78    X ) ) ] )
% 43.42/43.78  , clause( 171224, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) )
% 43.42/43.78     ), =( X, U ) ] )
% 43.42/43.78  , clause( 171225, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) )
% 43.42/43.78     ), =( Y, W ) ] )
% 43.42/43.78  , clause( 171226, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 
% 43.42/43.78    'tc_prod'( Y, Y ) ) ] )
% 43.42/43.78  , clause( 171227, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 
% 43.42/43.78    'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 
% 43.42/43.78    'tc_prod'( T, U ) ) ] )
% 43.42/43.78  , clause( 171228, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 43.42/43.78     ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 43.42/43.78    , Z, T ), T ) ] )
% 43.42/43.78  , clause( 171229, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 
% 43.42/43.78    'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 43.42/43.78    'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 43.42/43.78  , clause( 171230, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 43.42/43.78     ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 
% 43.42/43.78    'tc_prod'( T, Z ) ) ] )
% 43.42/43.78  , clause( 171231, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 
% 43.42/43.78    'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 43.42/43.78  , clause( 171232, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 43.42/43.78    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), 
% 43.42/43.78    =( Y, Z ) ] )
% 43.42/43.78  , clause( 171233, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 43.42/43.78    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 43.42/43.78  , clause( 171234, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y
% 43.42/43.78    , Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 43.42/43.78  , clause( 171235, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 43.42/43.78    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 43.42/43.78    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 43.42/43.78  , clause( 171236, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 43.42/43.78    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 43.42/43.78    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 43.42/43.78  , clause( 171237, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 43.42/43.78    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( 
% 43.42/43.78    Y, Z ) ] )
% 43.42/43.78  , clause( 171238, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 43.42/43.78    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 43.42/43.78  , clause( 171239, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y
% 43.42/43.78    , Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 43.42/43.78  , clause( 171240, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 43.42/43.78    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 43.42/43.78    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 43.42/43.78  , clause( 171241, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 43.42/43.78    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 
% 43.42/43.78    'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 43.42/43.78  , clause( 171242, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 43.42/43.78    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 43.42/43.78     ) ) ), =( Y, Z ) ] )
% 43.42/43.78  , clause( 171243, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 43.42/43.78    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 43.42/43.78  , clause( 171244, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X
% 43.42/43.78     ) ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 43.42/43.78  , clause( 171245, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 43.42/43.78    'c_lessequals'( 'c_SetInterval_OgreaterThan'( Y, X ), 
% 43.42/43.78    'c_SetInterval_OgreaterThan'( Z, X ), 'tc_set'( X ) ) ), 'c_lessequals'( 
% 43.42/43.78    Z, Y, X ) ] )
% 43.42/43.78  , clause( 171246, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 43.42/43.78    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( 
% 43.42/43.78    Z, X ), 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 43.42/43.78  , clause( 171247, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 43.42/43.78    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 43.42/43.78    , =( Y, Z ) ] )
% 43.42/43.78  , clause( 171248, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 43.42/43.78    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 43.42/43.78  , clause( 171249, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X
% 43.42/43.78     ) ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 43.42/43.78  , clause( 171250, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 43.42/43.78    'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 43.42/43.78    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ), 'c_lessequals'( Y, 
% 43.42/43.78    Z, X ) ] )
% 43.42/43.78  , clause( 171251, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 43.42/43.78    'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y
% 43.42/43.78    , X ), 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 43.42/43.78  , clause( 171252, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 
% 43.42/43.78    'tc_set'( Z ) ), Z ) ) ] )
% 43.42/43.78  , clause( 171253, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( 
% 43.42/43.78    Z ) ), Z ) ] )
% 43.42/43.78  , clause( 171254, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 43.42/43.78    'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 43.42/43.78  , clause( 171255, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 
% 43.42/43.78    'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 
% 43.42/43.78    'tc_set'( Y ) ) ] )
% 43.42/43.78  , clause( 171256, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 
% 43.42/43.78    'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( 
% 43.42/43.78    Z ) ), 'tc_set'( Z ) ) ] )
% 43.42/43.78  , clause( 171257, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 
% 43.42/43.78    'tc_set'( Z ) ), Z ) ) ] )
% 43.42/43.78  , clause( 171258, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 
% 43.42/43.78    'c_in'( X, Y, T ) ] )
% 43.42/43.78  , clause( 171259, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 
% 43.42/43.78    'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 43.42/43.78  , clause( 171260, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 43.42/43.78    , T ) ] )
% 43.42/43.78  , clause( 171261, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 43.42/43.78    , T ) ] )
% 43.42/43.78  , clause( 171262, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( 
% 43.42/43.78    X, 'c_inter'( T, Y, Z ), Z ) ] )
% 43.42/43.78  , clause( 171263, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 
% 43.42/43.78    'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 43.42/43.78  , clause( 171264, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 
% 43.42/43.78    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 43.42/43.78  , clause( 171265, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 
% 43.42/43.78    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 43.42/43.78  , clause( 171266, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 43.42/43.78  , clause( 171267, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 43.42/43.78    , Z ) ] )
% 43.42/43.78  , clause( 171268, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 43.42/43.78    , Z ) ] )
% 43.42/43.78  , clause( 171269, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 43.42/43.78    , T ), 'c_in'( X, Y, T ) ] )
% 43.42/43.78  , clause( 171270, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 
% 43.42/43.78    'c_emptyset' ) ] )
% 43.42/43.78  , clause( 171271, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 
% 43.42/43.78    'c_emptyset' ) ] )
% 43.42/43.78  , clause( 171272, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 
% 43.42/43.78    'c_emptyset' ) ] )
% 43.42/43.78  , clause( 171273, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z )
% 43.42/43.78     ) ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 43.42/43.78  , clause( 171274, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 43.42/43.78  , clause( 171275, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z
% 43.42/43.78     ), Z ) ] )
% 43.42/43.78  , clause( 171276, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 43.42/43.78  , clause( 171277, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, 
% 43.42/43.78    Z, T ), =( X, Y ) ] )
% 43.42/43.78  , clause( 171278, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 43.42/43.78  , clause( 171279, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 
% 43.42/43.78    'c_emptyset', Z ) ) ), =( X, T ) ] )
% 43.42/43.78  , clause( 171280, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 
% 43.42/43.78    'c_emptyset', Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z
% 43.42/43.78     ), 'tc_set'( Z ) ) ] )
% 43.42/43.78  , clause( 171281, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z )
% 43.42/43.78    , 'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 
% 43.42/43.78    'c_emptyset', Z ) ) ] )
% 43.42/43.78  , clause( 171282, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 
% 43.42/43.78    T, Y ) ) ), =( Z, X ) ] )
% 43.42/43.78  , clause( 171283, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 
% 43.42/43.78    T, Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( 
% 43.42/43.78    Y ) ) ] )
% 43.42/43.78  , clause( 171284, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z )
% 43.42/43.78    , 'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, 
% 43.42/43.78    X, Z ) ) ] )
% 43.42/43.78  , clause( 171285, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 43.42/43.78    T, Y, Z ) ) ), =( X, T ) ] )
% 43.42/43.78  , clause( 171286, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 43.42/43.78    T, Z, Y ) ) ) ] )
% 43.42/43.78  , clause( 171287, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 43.42/43.78    T, Y, Z ) ) ), =( X, T ) ] )
% 43.42/43.78  , clause( 171288, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 43.42/43.78    T, Z, Y ) ) ) ] )
% 43.42/43.78  , clause( 171289, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 
% 43.42/43.78    'c_Relation_Oconverse'( X, Y, Y ), Y ) ), 
% 43.42/43.78    'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 43.42/43.78  , clause( 171290, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 43.42/43.78    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 43.42/43.78     ) ] )
% 43.42/43.78  , clause( 171291, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 43.42/43.78    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 43.42/43.78    'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 43.42/43.78  , clause( 171292, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 43.42/43.78    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 
% 43.42/43.78    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 43.42/43.78    'tc_prod'( Z, Z ) ) ) ] )
% 43.42/43.78  , clause( 171293, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 43.42/43.78    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 43.42/43.78    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 43.42/43.78    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 43.42/43.78  , clause( 171294, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 43.42/43.78    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 43.42/43.78    'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 43.42/43.78  , clause( 171295, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 43.42/43.78    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 43.42/43.78    , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 43.42/43.78     )
% 43.42/43.78  , clause( 171296, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 43.42/43.78    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 43.42/43.78    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 43.42/43.78    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 43.42/43.78  , clause( 171297, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 43.42/43.78    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 43.42/43.78     ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 43.42/43.78  , clause( 171298, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 43.42/43.78    , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 
% 43.42/43.78    'tc_nat', 'tc_nat' ) ) ] )
% 43.42/43.78  , clause( 171299, [ ~( =( 'c_Message_Oagent_OServer', 
% 43.42/43.78    'c_Message_Oagent_OFriend'( X ) ) ) ] )
% 43.42/43.78  , clause( 171300, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 43.42/43.78    'c_Message_Oagent_OServer' ) ) ] )
% 43.42/43.78  , clause( 171301, [ ~( =( 'c_Message_Oagent_OServer', 
% 43.42/43.78    'c_Message_Oagent_OSpy' ) ) ] )
% 43.42/43.78  , clause( 171302, [ ~( =( 'c_Message_Oagent_OSpy', 
% 43.42/43.78    'c_Message_Oagent_OServer' ) ) ] )
% 43.42/43.78  , clause( 171303, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 43.42/43.78    'c_Message_Oagent_OSpy' ) ) ] )
% 43.42/43.78  , clause( 171304, [ ~( =( 'c_Message_Oagent_OSpy', 
% 43.42/43.78    'c_Message_Oagent_OFriend'( X ) ) ) ] )
% 43.42/43.78  , clause( 171305, [ ~( =( 'c_Message_Oagent_OFriend'( X ), 
% 43.42/43.78    'c_Message_Oagent_OFriend'( Y ) ) ), =( X, Y ) ] )
% 43.42/43.78  , clause( 171306, [ ~( =( 'c_Message_Omsg_OAgent'( X ), 
% 43.42/43.78    'c_Message_Omsg_OAgent'( Y ) ) ), =( X, Y ) ] )
% 43.42/43.78  , clause( 171307, [ ~( =( 'c_Message_Omsg_ONumber'( X ), 
% 43.42/43.78    'c_Message_Omsg_ONumber'( Y ) ) ), =( X, Y ) ] )
% 43.42/43.78  , clause( 171308, [ ~( =( 'c_Message_Omsg_ONonce'( X ), 
% 43.42/43.78    'c_Message_Omsg_ONonce'( Y ) ) ), =( X, Y ) ] )
% 43.42/43.78  , clause( 171309, [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( 
% 43.42/43.78    Y ) ) ), =( X, Y ) ] )
% 43.42/43.78  , clause( 171310, [ ~( =( 'c_Message_Omsg_OHash'( X ), 
% 43.42/43.78    'c_Message_Omsg_OHash'( Y ) ) ), =( X, Y ) ] )
% 43.42/43.78  , clause( 171311, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 43.42/43.78    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( X, Z ) ] )
% 43.42/43.78  , clause( 171312, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 
% 43.42/43.78    'c_Message_Omsg_OMPair'( Z, T ) ) ), =( Y, T ) ] )
% 43.42/43.78  , clause( 171313, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 43.42/43.78    'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( X, Z ) ] )
% 43.42/43.78  , clause( 171314, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 43.42/43.78    'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( Y, T ) ] )
% 43.42/43.78  , clause( 171315, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , clause( 171316, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , clause( 171317, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 43.42/43.78    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , clause( 171318, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , clause( 171319, [ 'c_lessequals'( 'v_G', 'v_H', 'tc_set'( 
% 43.42/43.78    'tc_Message_Omsg' ) ) ] )
% 43.42/43.78  , clause( 171320, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 43.42/43.78    'c_Message_Oparts'( 'v_G' ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , clause( 171321, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 43.42/43.78    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , clause( 171322, [ ~( 'c_in'( 'v_Y', 'c_Message_Oparts'( 'v_H' ), 
% 43.42/43.78    'tc_Message_Omsg' ) ) ] )
% 43.42/43.78  ] ).
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  subsumption(
% 43.42/43.78  clause( 1340, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , clause( 171318, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 43.42/43.78    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  subsumption(
% 43.42/43.78  clause( 1343, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 43.42/43.78    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , clause( 171321, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 43.42/43.78    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  subsumption(
% 43.42/43.78  clause( 1344, [ ~( 'c_in'( 'v_Y', 'c_Message_Oparts'( 'v_H' ), 
% 43.42/43.78    'tc_Message_Omsg' ) ) ] )
% 43.42/43.78  , clause( 171322, [ ~( 'c_in'( 'v_Y', 'c_Message_Oparts'( 'v_H' ), 
% 43.42/43.78    'tc_Message_Omsg' ) ) ] )
% 43.42/43.78  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  resolution(
% 43.42/43.78  clause( 171998, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'v_Y' ), 
% 43.42/43.78    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 43.42/43.78  , clause( 1344, [ ~( 'c_in'( 'v_Y', 'c_Message_Oparts'( 'v_H' ), 
% 43.42/43.78    'tc_Message_Omsg' ) ) ] )
% 43.42/43.78  , 0, clause( 1340, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 43.42/43.78    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 'v_Y' ), 
% 43.42/43.78    :=( Z, 'v_H' )] )).
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  subsumption(
% 43.42/43.78  clause( 167635, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'v_Y' ), 
% 43.42/43.78    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 43.42/43.78  , clause( 171998, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'v_Y' ), 
% 43.42/43.78    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 43.42/43.78  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  resolution(
% 43.42/43.78  clause( 171999, [] )
% 43.42/43.78  , clause( 167635, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'v_Y' ), 
% 43.42/43.78    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 43.42/43.78  , 0, clause( 1343, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 43.42/43.78    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 43.42/43.78  , 0, substitution( 0, [ :=( X, 'v_X' )] ), substitution( 1, [] )).
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  subsumption(
% 43.42/43.78  clause( 169940, [] )
% 43.42/43.78  , clause( 171999, [] )
% 43.42/43.78  , substitution( 0, [] ), permutation( 0, [] ) ).
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  end.
% 43.42/43.78  
% 43.42/43.78  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 43.42/43.78  
% 43.42/43.78  Memory use:
% 43.42/43.78  
% 43.42/43.78  space for terms:        3730038
% 43.42/43.78  space for clauses:      8462943
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  clauses generated:      542999
% 43.42/43.78  clauses kept:           169941
% 43.42/43.78  clauses selected:       2003
% 43.42/43.78  clauses deleted:        1181
% 43.42/43.78  clauses inuse deleted:  3
% 43.42/43.78  
% 43.42/43.78  subsentry:          2134409
% 43.42/43.78  literals s-matched: 1214121
% 43.42/43.78  literals matched:   1085379
% 43.42/43.78  full subsumption:   448080
% 43.42/43.78  
% 43.42/43.78  checksum:           -1671207935
% 43.42/43.78  
% 43.42/43.78  
% 43.42/43.78  Bliksem ended
%------------------------------------------------------------------------------