TSTP Solution File: SET822-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET822-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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 : Mon Jul 18 22:52:17 EDT 2022

% Result   : Unsatisfiable 12.91s 13.28s
% Output   : Refutation 12.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET822-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n017.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 : Sat Jul  9 16:22:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.88/1.28  *** allocated 10000 integers for termspace/termends
% 0.88/1.28  *** allocated 10000 integers for clauses
% 0.88/1.28  *** allocated 10000 integers for justifications
% 0.88/1.28  *** allocated 15000 integers for termspace/termends
% 0.88/1.28  Bliksem 1.12
% 0.88/1.28  
% 0.88/1.28  
% 0.88/1.28  Automatic Strategy Selection
% 0.88/1.28  
% 0.88/1.28  Clauses:
% 0.88/1.28  [
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 0.88/1.28    'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 0.88/1.28    , Y ) ],
% 0.88/1.28     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 0.88/1.28    'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.88/1.28     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 0.88/1.28    'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'( 
% 0.88/1.28    Z, Y ) ) ), =( X, Z ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.28    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.28    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.28    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.28    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.88/1.28    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 0.88/1.28     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.88/1.28     [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =( 
% 0.88/1.28    X, 'c_emptyset' ) ],
% 0.88/1.28     [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =( 
% 0.88/1.28    X, 'c_emptyset' ) ],
% 0.88/1.28     [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z, 
% 0.88/1.28    'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 0.88/1.28    , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ), 
% 0.88/1.28    'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 0.88/1.28    'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.88/1.28    'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.88/1.28     ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.88/1.28     ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'( 
% 0.88/1.28    Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X, 
% 0.88/1.28    Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.88/1.28    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 0.88/1.28    , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 0.88/1.28     ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.88/1.28    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 0.88/1.28     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 0.88/1.28    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 0.88/1.28    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'( 
% 0.88/1.28    X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 0.88/1.28    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 0.88/1.28     [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 0.88/1.28    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 0.88/1.28    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 0.88/1.28     ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 0.88/1.28    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 0.88/1.28    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 0.88/1.28    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 0.88/1.28    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil', 
% 0.88/1.28    'c_List_Olist_ONil', X ) ) ],
% 0.88/1.28     [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 0.88/1.28    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 0.88/1.28    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.88/1.28    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 0.88/1.28    Z ) ) ), =( X, T ) ],
% 0.88/1.28     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.88/1.28    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 0.88/1.28    Z ) ) ), =( Y, U ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.88/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 0.88/1.28    'tc_List_Olist'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.88/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 0.88/1.28    'tc_List_Olist'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 0.88/1.28    'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 
% 0.88/1.28    'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ), 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 0.88/1.28     [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 0.88/1.28     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 0.88/1.28    =( X, Z ) ],
% 0.88/1.28     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 0.88/1.28    =( Y, T ) ],
% 0.88/1.28     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 0.88/1.28    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 0.88/1.28     [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 0.88/1.28    , =( X, 'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.88/1.28    , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X, 
% 0.88/1.28    Y ), X ) ],
% 0.88/1.28     [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 0.88/1.28    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 0.88/1.28    'tc_List_Olist'( Y ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 0.88/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.88/1.28     ) ), =( X, T ) ],
% 0.88/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.88/1.28     ) ), =( Y, U ) ],
% 0.88/1.28     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.88/1.28    , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 0.88/1.28    'c_List_Olist_ONil', Y ), Y ) ) ],
% 0.88/1.28     [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 0.88/1.28    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 0.88/1.28    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.88/1.28     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 0.88/1.28     [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 0.88/1.28     [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 0.88/1.28     [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 0.88/1.28     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.88/1.28     [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 0.88/1.28    'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ), 
% 0.88/1.28    'c_Suc'( Y ), 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 0.88/1.28    , 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 0.88/1.28    , 'tc_nat' ) ],
% 0.88/1.28     [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 0.88/1.28     [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 0.88/1.28     [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 
% 0.88/1.28    'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y, 
% 0.88/1.28    'tc_nat' ), 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X, 
% 0.88/1.28    'tc_nat' ), 'tc_nat' ) ],
% 0.88/1.28     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 0.88/1.28     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.88/1.28     [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 0.88/1.28     [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.88/1.28     [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.88/1.28     [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 0.88/1.28     [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 0.88/1.28     [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 0.88/1.28     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.88/1.28     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.88/1.28     [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 0.88/1.28     [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 0.88/1.28     [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.88/1.28     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 0.88/1.28    , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.88/1.28    , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.88/1.28    'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 0.88/1.28    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 0.88/1.28    Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.88/1.28     ) ), =( X, Y ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'( 
% 0.88/1.28    Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.88/1.28    'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 0.88/1.28    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 0.88/1.28    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.88/1.28    'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 0.88/1.28    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'( 
% 0.88/1.28    Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.88/1.28    'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 0.88/1.28    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 0.88/1.28    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.88/1.28    'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( 
% 0.88/1.28    Z, X ), 'tc_set'( X ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.88/1.28    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.88/1.28     ) ) ), =( Y, Z ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 0.88/1.28    , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 0.88/1.28    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.88/1.28     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.28    , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 0.88/1.28    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'( 
% 0.88/1.28    Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 0.88/1.28    , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 0.88/1.28    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 0.88/1.28    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.28    , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 0.88/1.28    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 
% 0.88/1.28    Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 0.88/1.28     ), =( X, Z ) ],
% 0.88/1.28     [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 0.88/1.28    'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'( 
% 0.88/1.28    Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 0.88/1.28    , Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.88/1.28    , 'tc_set'( Z ) ), Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'( 
% 0.88/1.28    T, Y, Z ), Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 0.88/1.28     ) ), 'c_in'( T, X, Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 0.88/1.28    , 'tc_set'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 0.88/1.28    , 'tc_set'( Z ) ) ],
% 0.88/1.28     [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 0.88/1.28    X, Y, T ) ],
% 0.88/1.28     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 0.88/1.28    , 'c_Union'( T, Z ), Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =( 
% 0.88/1.28    X, T ) ],
% 0.88/1.28     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), 
% 0.88/1.28    'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.88/1.28     ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 0.88/1.28     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =( 
% 0.88/1.28    Z, X ) ],
% 0.88/1.28     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), 
% 0.88/1.28    'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.88/1.28     ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 0.88/1.28     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 0.88/1.28    , =( X, T ) ],
% 0.88/1.28     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 0.88/1.28    , =( X, T ) ],
% 0.88/1.28     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, 
% 0.88/1.28    Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 0.88/1.28    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.88/1.28    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'( 
% 0.88/1.28    T, Z ) ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.88/1.28    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 0.88/1.28    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 0.88/1.28    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.88/1.28    , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.88/1.28    , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.88/1.28    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 0.88/1.28    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 0.88/1.28    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.88/1.28     ), 'c_less'( X, Y, 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 
% 0.88/1.28    'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 
% 0.88/1.28    'tc_nat' ) ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.28     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.88/1.28    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.28    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 0.88/1.28    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 0.88/1.28    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 0.88/1.28    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.88/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.88/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.88/1.28    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.88/1.28    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.88/1.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 0.88/1.28    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 0.88/1.28    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.88/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 0.88/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 0.88/1.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 0.88/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.88/1.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 0.88/1.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 0.88/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.88/1.28    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.88/1.28    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.88/1.28    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 0.88/1.28    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.88/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.88/1.28    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.88/1.28    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.88/1.28    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 0.88/1.28    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.88/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 0.88/1.28    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 0.88/1.28    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'( 
% 0.88/1.28    Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'( 
% 0.88/1.28    Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.88/1.28    , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.88/1.28    , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 0.88/1.28    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 0.88/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 0.88/1.28    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'( 
% 0.88/1.28    Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 0.88/1.28    X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 0.88/1.28    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 0.88/1.28    X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 0.88/1.28    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), 
% 0.88/1.28    'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.88/1.28    , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 0.88/1.28    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.88/1.28    , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 0.88/1.28    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 0.88/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 
% 0.88/1.28    'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.88/1.28    'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.88/1.28    'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.88/1.28    'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.88/1.28    , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'( 
% 0.88/1.28    'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.88/1.28    , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 0.88/1.28    , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 0.88/1.28    , 'tc_set'( Y ) ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.88/1.28     ) ), X, 'tc_nat' ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.88/1.28     ) ), Y, 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ), 
% 0.88/1.28    ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 0.88/1.28    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 0.88/1.28    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ), 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 0.88/1.28    , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.88/1.28     [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 0.88/1.28    'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'( 
% 0.88/1.28    'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y, 
% 0.88/1.28    'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 0.88/1.28    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.88/1.28    'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.88/1.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.88/1.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 0.88/1.28    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 0.88/1.28    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.88/1.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.88/1.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 0.88/1.28    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 0.88/1.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.88/1.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.88/1.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.88/1.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 0.88/1.28    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.88/1.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.88/1.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 0.88/1.28    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 0.88/1.28    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.88/1.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.88/1.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 0.88/1.28    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 0.88/1.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.88/1.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.88/1.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.88/1.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 0.88/1.28    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 0.88/1.28    'tc_prod'( T, T ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 0.88/1.28    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 0.88/1.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 0.88/1.28    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 0.88/1.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 0.88/1.28    'c_List_Olist_ONil' ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.88/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 0.88/1.28    'tc_List_Olist'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.88/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 
% 0.88/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ), 
% 0.88/1.28    'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'( 
% 0.88/1.28    Y ) ) ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.88/1.28    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 0.88/1.28    Y ) ) ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.88/1.28    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 0.88/1.28     [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 0.88/1.28     [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 0.88/1.28    , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'( 
% 0.88/1.28    'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 0.88/1.28    'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 0.88/1.28    'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'( 
% 0.88/1.28    T, U ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W, 
% 0.88/1.28    'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.88/1.28    , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.88/1.28    , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ), 
% 0.88/1.28    'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.88/1.28    , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ), 
% 0.88/1.28    'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 0.88/1.28    , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 0.88/1.28    , Z, Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), 
% 0.88/1.28    'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 0.88/1.28    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.88/1.28    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), 
% 0.88/1.28    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.88/1.28    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 0.88/1.28    'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.88/1.28    U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 0.88/1.28    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 0.88/1.28    , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0, 
% 0.88/1.28    T ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 0.88/1.28    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 0.88/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y, 
% 0.88/1.28    Z ), Y, 'tc_set'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 0.88/1.28    'c_Inter'( Y, Z ), Z ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_UNIV', Y ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.88/1.28    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'( 
% 0.88/1.28    X, Y, Z ), Z ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 0.88/1.28     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 0.88/1.28    'tc_set'( Z ) ) ) ],
% 0.88/1.28     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'( 
% 0.88/1.28    Z ) ) ],
% 0.88/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'( 
% 0.88/1.28    Z ) ), =( X, Y ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 0.88/1.28     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 0.88/1.28     ) ) ), =( X, Z ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 0.88/1.28    'c_in'( X, T, Z ) ],
% 0.88/1.28     [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.88/1.28    , 'tc_set'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'( 
% 0.88/1.28    X, Y, 'tc_set'( Z ) ) ],
% 0.88/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 0.88/1.28    'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.88/1.28     [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ), 
% 0.88/1.28    'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ), 
% 0.88/1.28    'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.88/1.28    , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ), 
% 0.88/1.28    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.88/1.28    , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X, 
% 0.88/1.28    'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.88/1.28    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X, 
% 0.88/1.28    'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.88/1.28    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'( 
% 0.88/1.28    'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.88/1.28     ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 0.88/1.28    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.88/1.28    , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.88/1.28     [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ), 
% 0.88/1.28    'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 0.88/1.28    , 'tc_prod'( T, Y ) ) ],
% 0.88/1.28     [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 0.88/1.28    , 'tc_nat' ) ],
% 0.88/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 0.88/1.28    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 0.88/1.28    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 0.88/1.28     ],
% 0.88/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~( 
% 0.88/1.28    'class_Finite__Set_Ofinite'( X ) ) ],
% 0.88/1.28     [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 0.88/1.28     ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 0.88/1.28     ) ],
% 0.88/1.28     [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 0.88/1.28     ],
% 0.88/1.28     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 0.88/1.28     ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 0.88/1.28     ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 0.88/1.28     ],
% 0.88/1.28     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 0.88/1.28    'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.88/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 0.88/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 0.88/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.88/1.28     ],
% 0.88/1.28     [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 0.88/1.28     [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.88/1.28     ],
% 0.88/1.28     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.88/1.28     ) ],
% 0.88/1.28     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.88/1.28     ],
% 0.88/1.28     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 0.88/1.28     ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.88/1.28     ],
% 0.88/1.28     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.88/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 0.88/1.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.88/1.28     ],
% 0.88/1.28     [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 0.88/1.28     [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 0.88/1.28     [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 0.88/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 0.88/1.28    'class_Finite__Set_Ofinite'( X ) ) ],
% 0.88/1.28     [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 0.88/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 0.88/1.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 0.88/1.28    'class_HOL_Otimes'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_LOrder_Olorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_HOL_Ominus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_LOrder_Olorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_HOL_Ominus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_LOrder_Olorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_HOL_Ominus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_LOrder_Olorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_HOL_Ominus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_LOrder_Olorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_HOL_Ominus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.28    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.28    , 'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.28    , 'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.28    , 'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.88/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.88/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 0.88/1.28    'class_HOL_Oone'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.88/1.28    'class_HOL_Ominus'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 0.88/1.28    'class_HOL_Otimes'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_HOL_Otimes'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_HOL_Otimes'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_HOL_Oone'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.88/1.28    'class_HOL_Otimes'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_HOL_Oone'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_HOL_Otimes'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.88/1.28    'class_HOL_Oinverse'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oidom'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_LOrder_Olorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_HOL_Oplus'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_HOL_Ozero'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_LOrder_Olorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Orderings_Oorder'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Orderings_Oord'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_HOL_Otimes'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ofield'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.28    'class_HOL_Oinverse'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'( 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oidom'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_LOrder_Olorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 0.88/1.29     ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_LOrder_Olorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oidom'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.29    'class_HOL_Ozero'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Olordered__ring'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Opordered__ring'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 0.88/1.29    'class_HOL_Otimes'( X ) ],
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% 0.88/1.29    'class_HOL_Ozero'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
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% 0.88/1.29    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.29    'class_LOrder_Olorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.29    'class_LOrder_Ojoin__semilorder'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.29    'class_LOrder_Omeet__semilorder'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_LOrder_Olorder'( X ) ],
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% 0.88/1.29    'class_LOrder_Ojoin__semilorder'( X ) ],
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% 0.88/1.29    'class_LOrder_Omeet__semilorder'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_HOL_Otimes'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_HOL_Ozero'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
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% 0.88/1.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
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% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
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% 0.88/1.29    'class_Orderings_Oord'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Otimes'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Ozero'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Otimes'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Ozero'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_HOL_Otimes'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_HOL_Ozero'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_HOL_Ominus'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Ozero'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Otimes'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 0.88/1.29    X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Otimes'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_HOL_Ozero'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.88/1.29    ,
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 0.88/1.29     ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 0.88/1.29     ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 0.88/1.29     ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 0.88/1.29     ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_HOL_Otimes'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_HOL_Ozero'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 0.88/1.29     ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 0.88/1.29     ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 0.88/1.29     ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 0.88/1.29     ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_HOL_Oone'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_HOL_Otimes'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_HOL_Ozero'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_HOL_Oplus'( X ) ],
% 0.88/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.88/1.29    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.88/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.29    'class_Orderings_Oord'( X ) ],
% 0.88/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.29    'class_Orderings_Oorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.29    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.29    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.29    'class_LOrder_Olorder'( X ) ],
% 0.88/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.88/1.29    'class_Orderings_Olinorder'( X ) ],
% 0.88/1.29     [ 'v_P'( 'v_f'( 'v_b' ) ) ],
% 0.88/1.29     [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), 'c_in'( 'v_x'( X, Y )
% 0.88/1.29    , Y, 'tc_IntDef_Oint' ) ],
% 0.88/1.29     [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 'v_x'( X, Y
% 0.88/1.29     ) ) ) ]
% 0.88/1.29  ] .
% 0.88/1.29  
% 0.88/1.29  
% 0.88/1.29  percentage equality = 0.074551, percentage horn = 0.979381
% 0.88/1.29  This is a problem with some equality
% 0.88/1.29  
% 0.88/1.29  
% 0.88/1.29  
% 0.88/1.29  Options Used:
% 0.88/1.29  
% 0.88/1.29  useres =            1
% 0.88/1.29  useparamod =        1
% 0.88/1.29  useeqrefl =         1
% 0.88/1.29  useeqfact =         1
% 0.88/1.29  usefactor =         1
% 0.88/1.29  usesimpsplitting =  0
% 0.88/1.29  usesimpdemod =      5
% 0.88/1.29  usesimpres =        3
% 0.88/1.29  
% 0.88/1.29  resimpinuse      =  1000
% 0.88/1.29  resimpclauses =     20000
% 0.88/1.29  substype =          eqrewr
% 0.88/1.29  backwardsubs =      1
% 0.88/1.29  selectoldest =      5
% 0.88/1.29  
% 0.88/1.29  litorderings [0] =  split
% 0.88/1.29  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.88/1.29  
% 0.88/1.29  termordering =      kbo
% 0.88/1.29  
% 0.88/1.29  litapriori =        0
% 0.88/1.29  termapriori =       1
% 0.88/1.29  litaposteriori =    0
% 0.88/1.29  termaposteriori =   0
% 0.88/1.29  demodaposteriori =  0
% 0.88/1.29  ordereqreflfact =   0
% 0.88/1.29  
% 0.88/1.29  litselect =         negord
% 0.88/1.29  
% 0.88/1.29  maxweight =         15
% 0.88/1.29  maxdepth =          30000
% 0.88/1.29  maxlength =         115
% 0.88/1.29  maxnrvars =         195
% 0.88/1.29  excuselevel =       1
% 0.88/1.29  increasemaxweight = 1
% 0.88/1.29  
% 0.88/1.29  maxselected =       10000000
% 0.88/1.29  maxnrclauses =      10000000
% 0.88/1.29  
% 0.88/1.29  showgenerated =    0
% 0.88/1.29  showkept =         0
% 0.88/1.29  showselected =     0
% 0.88/1.29  showdeleted =      0
% 0.88/1.29  showresimp =       1
% 0.88/1.29  showstatus =       2000
% 0.88/1.29  
% 0.88/1.29  prologoutput =     1
% 0.88/1.29  nrgoals =          5000000
% 0.88/1.29  totalproof =       1
% 0.88/1.29  
% 0.88/1.29  Symbols occurring in the translation:
% 0.88/1.29  
% 0.88/1.29  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.88/1.29  .  [1, 2]      (w:1, o:167, a:1, s:1, b:0), 
% 0.88/1.29  !  [4, 1]      (w:0, o:82, a:1, s:1, b:0), 
% 0.88/1.29  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.29  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.29  'c_Datatype_Oo2s'  [42, 2]      (w:1, o:192, a:1, s:1, b:0), 
% 0.88/1.29  'c_in'  [43, 3]      (w:1, o:230, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype_Ooption_OSome'  [44, 2]      (w:1, o:193, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype_Ooption_ONone'  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Onot__None__eq__iff1__1'  [46, 2]      (w:1, o:204, a:1, s:1, b:0)
% 0.88/1.29    , 
% 0.88/1.29  'c_Main_Onot__Some__eq__iff1__1'  [47, 2]      (w:1, o:205, a:1, s:1, b:0)
% 0.88/1.29    , 
% 0.88/1.29  'c_Datatype__Universe_OAtom'  [51, 3]      (w:1, o:231, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype__Universe_OScons'  [55, 4]      (w:1, o:263, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype__Universe_OIn0'  [56, 3]      (w:1, o:232, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype__Universe_OIn1'  [57, 3]      (w:1, o:233, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype__Universe_OLeaf'  [58, 3]      (w:1, o:234, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype__Universe_ONumb'  [60, 3]      (w:1, o:235, a:1, s:1, b:0), 
% 0.88/1.29  'c_0'  [63, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 0.88/1.29  'tc_nat'  [65, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 0.88/1.29  'c_Divides_Oop_Advd'  [66, 3]      (w:1, o:236, a:1, s:1, b:0), 
% 0.88/1.29  'c_emptyset'  [67, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 0.88/1.29  'c_Equiv__Relations_Oquotient'  [70, 3]      (w:1, o:238, a:1, s:1, b:0), 
% 0.88/1.29  'c_Extraction_Osumbool_OLeft'  [71, 0]      (w:1, o:33, a:1, s:1, b:0), 
% 0.88/1.29  'c_Extraction_Osumbool_ORight'  [72, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 0.88/1.29  'c_insert'  [74, 3]      (w:1, o:239, a:1, s:1, b:0), 
% 0.88/1.29  'tc_set'  [75, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 0.88/1.29  'c_minus'  [76, 3]      (w:1, o:242, a:1, s:1, b:0), 
% 0.88/1.29  'c_Finite__Set_OFinites'  [77, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 0.88/1.29  'c_Pow'  [78, 2]      (w:1, o:206, a:1, s:1, b:0), 
% 0.88/1.29  'c_union'  [81, 3]      (w:1, o:244, a:1, s:1, b:0), 
% 0.88/1.29  'c_Relation_Oconverse'  [82, 3]      (w:1, o:245, a:1, s:1, b:0), 
% 0.88/1.29  'tc_prod'  [83, 2]      (w:1, o:207, a:1, s:1, b:0), 
% 0.88/1.29  'c_Pair'  [85, 4]      (w:1, o:264, a:1, s:1, b:0), 
% 0.88/1.29  'c_GCD_Ogcd'  [86, 1]      (w:1, o:88, a:1, s:1, b:0), 
% 0.88/1.29  'c_UNIV'  [87, 0]      (w:1, o:40, a:1, s:1, b:0), 
% 0.88/1.29  'c_IntDef_Oint'  [88, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 0.88/1.29  'tc_IntDef_Oint'  [91, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 0.88/1.29  'c_uminus'  [92, 2]      (w:1, o:208, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Olist_ONil'  [94, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 0.88/1.29  'tc_List_Olist'  [95, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Olex'  [96, 2]      (w:1, o:194, a:1, s:1, b:0), 
% 0.88/1.29  'c_append'  [98, 3]      (w:1, o:246, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Orev'  [99, 2]      (w:1, o:195, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Olist_OCons'  [100, 3]      (w:1, o:247, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Olists'  [102, 2]      (w:1, o:197, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Ochar_OChar'  [106, 2]      (w:1, o:198, a:1, s:1, b:0), 
% 0.88/1.29  'c_Nat_Osize'  [109, 2]      (w:1, o:212, a:1, s:1, b:0), 
% 0.88/1.29  'c_less'  [110, 3]      (w:1, o:240, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Oremdups'  [111, 2]      (w:1, o:199, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Oset'  [114, 2]      (w:1, o:200, a:1, s:1, b:0), 
% 0.88/1.29  'c_Suc'  [115, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 0.88/1.29  'c_lessequals'  [116, 3]      (w:1, o:241, a:1, s:1, b:0), 
% 0.88/1.29  'c_plus'  [117, 3]      (w:1, o:248, a:1, s:1, b:0), 
% 0.88/1.29  'c_1'  [119, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 0.88/1.29  'c_Numeral_Obit_OB0'  [121, 0]      (w:1, o:56, a:1, s:1, b:0), 
% 0.88/1.29  'c_Numeral_Obit_OB1'  [122, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 0.88/1.29  'class_Orderings_Oorder'  [123, 1]      (w:1, o:95, a:1, s:1, b:0), 
% 0.88/1.29  'c_Relation_OId'  [125, 0]      (w:1, o:59, a:1, s:1, b:0), 
% 0.88/1.29  'c_Relation_OImage'  [126, 4]      (w:1, o:265, a:1, s:1, b:0), 
% 0.88/1.29  'class_Orderings_Olinorder'  [127, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 0.88/1.29  'c_SetInterval_OatLeast'  [128, 2]      (w:1, o:215, a:1, s:1, b:0), 
% 0.88/1.29  'class_Orderings_Oord'  [129, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 0.88/1.29  'c_SetInterval_OatMost'  [130, 2]      (w:1, o:216, a:1, s:1, b:0), 
% 0.88/1.29  'c_SetInterval_OgreaterThan'  [131, 2]      (w:1, o:217, a:1, s:1, b:0), 
% 0.88/1.29  'c_SetInterval_OlessThan'  [132, 2]      (w:1, o:218, a:1, s:1, b:0), 
% 0.88/1.29  'c_inter'  [134, 3]      (w:1, o:249, a:1, s:1, b:0), 
% 0.88/1.29  'c_Inter'  [137, 2]      (w:1, o:219, a:1, s:1, b:0), 
% 0.88/1.29  'c_Union'  [138, 2]      (w:1, o:222, a:1, s:1, b:0), 
% 0.88/1.29  'c_Sum__Type_OInl'  [139, 3]      (w:1, o:252, a:1, s:1, b:0), 
% 0.88/1.29  'c_Sum__Type_OInr'  [140, 3]      (w:1, o:253, a:1, s:1, b:0), 
% 0.88/1.29  'c_Wellfounded__Recursion_Oacyclic'  [141, 2]      (w:1, o:223, a:1, s:1
% 0.88/1.29    , b:0), 
% 0.88/1.29  'c_Transitive__Closure_Ortrancl'  [142, 2]      (w:1, o:220, a:1, s:1, b:0)
% 0.88/1.29    , 
% 0.88/1.29  'c_Wellfounded__Recursion_Owf'  [143, 2]      (w:1, o:224, a:1, s:1, b:0), 
% 0.88/1.29    
% 0.88/1.29  'c_Wellfounded__Relations_Oless__than'  [144, 0]      (w:1, o:63, a:1, s:1
% 0.88/1.29    , b:0), 
% 0.88/1.29  'c_Datatype__Universe_Odprod'  [146, 4]      (w:1, o:266, a:1, s:1, b:0), 
% 0.88/1.29  'tc_Datatype__Universe_Onode'  [147, 2]      (w:1, o:225, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OdprodE__1'  [148, 5]      (w:1, o:284, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OdprodE__2'  [149, 5]      (w:1, o:285, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OdprodE__3'  [150, 5]      (w:1, o:286, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OdprodE__4'  [151, 5]      (w:1, o:287, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype__Universe_Odsum'  [152, 4]      (w:1, o:267, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OdsumE__1'  [153, 4]      (w:1, o:270, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OdsumE__2'  [154, 4]      (w:1, o:271, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OdsumE__3'  [155, 4]      (w:1, o:272, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OdsumE__4'  [156, 4]      (w:1, o:273, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype__Universe_Ouprod'  [157, 4]      (w:1, o:274, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OuprodE__1'  [158, 5]      (w:1, o:288, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OuprodE__2'  [159, 5]      (w:1, o:289, a:1, s:1, b:0), 
% 0.88/1.29  'c_Datatype__Universe_Ousum'  [161, 4]      (w:1, o:275, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OusumE__1'  [162, 4]      (w:1, o:276, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OusumE__2'  [163, 4]      (w:1, o:277, a:1, s:1, b:0), 
% 0.88/1.29  'c_times'  [164, 3]      (w:1, o:243, a:1, s:1, b:0), 
% 0.88/1.29  'c_Divides_Oop_Amod'  [166, 3]      (w:1, o:237, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Omod__eq__0D__dest__1'  [167, 2]      (w:1, o:203, a:1, s:1, b:0), 
% 0.88/1.29    
% 0.88/1.29  'c_Main_Ofinite__Union__1'  [168, 2]      (w:1, o:209, a:1, s:1, b:0), 
% 0.88/1.29  'c_Infinite__Set_Oatmost__one'  [170, 2]      (w:1, o:226, a:1, s:1, b:0), 
% 0.88/1.29    
% 0.88/1.29  'c_Main_Ozmod__eq__0D__dest__1'  [171, 2]      (w:1, o:210, a:1, s:1, b:0)
% 0.88/1.29    , 
% 0.88/1.29  'c_List_Odistinct'  [172, 2]      (w:1, o:201, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Oin__listsI__1'  [174, 3]      (w:1, o:254, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Olistrel'  [175, 2]      (w:1, o:196, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Olistrel__Cons1__1'  [176, 5]      (w:1, o:290, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Olistrel__Cons1__2'  [177, 5]      (w:1, o:291, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Olistrel__Cons2__1'  [178, 5]      (w:1, o:292, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Olistrel__Cons2__2'  [179, 5]      (w:1, o:293, a:1, s:1, b:0), 
% 0.88/1.29  'c_List_Olenlex'  [181, 2]      (w:1, o:202, a:1, s:1, b:0), 
% 0.88/1.29  'c_Relation_ODomain'  [182, 3]      (w:1, o:250, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_ODomainE__1'  [183, 4]      (w:1, o:278, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OIdE__1'  [185, 2]      (w:1, o:211, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OImageE__1'  [186, 5]      (w:1, o:294, a:1, s:1, b:0), 
% 0.88/1.29  'c_Relation_ORange'  [187, 3]      (w:1, o:251, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_ORangeE__1'  [188, 4]      (w:1, o:279, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OconverseE__1'  [190, 4]      (w:1, o:268, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OconverseE__2'  [191, 4]      (w:1, o:269, a:1, s:1, b:0), 
% 0.88/1.29  'c_Relation_Odiag'  [192, 2]      (w:1, o:213, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OdiagE__1'  [193, 3]      (w:1, o:255, a:1, s:1, b:0), 
% 0.88/1.29  'c_Relation_Orel__comp'  [196, 5]      (w:1, o:295, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Orel__compE__2'  [197, 6]      (w:1, o:297, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Orel__compE__3'  [198, 6]      (w:1, o:298, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_Orel__compE__1'  [199, 6]      (w:1, o:296, a:1, s:1, b:0), 
% 0.88/1.29  'c_SetInterval_OatLeastAtMost'  [200, 3]      (w:1, o:256, a:1, s:1, b:0), 
% 0.88/1.29    
% 0.88/1.29  'c_SetInterval_OatLeastLessThan'  [201, 3]      (w:1, o:257, a:1, s:1, b:0)
% 0.88/1.29    , 
% 0.88/1.29  'c_SetInterval_OgreaterThanAtMost'  [202, 3]      (w:1, o:258, a:1, s:1, b:
% 0.88/1.29    0), 
% 0.88/1.29  'c_SetInterval_OgreaterThanLessThan'  [203, 3]      (w:1, o:259, a:1, s:1
% 0.88/1.29    , b:0), 
% 0.88/1.29  'c_Main_OInterI__1'  [204, 3]      (w:1, o:260, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OUnionE__1'  [205, 3]      (w:1, o:261, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OsubsetI__1'  [206, 3]      (w:1, o:262, a:1, s:1, b:0), 
% 0.88/1.29  'c_Sum__Type_OPlus'  [207, 4]      (w:1, o:280, a:1, s:1, b:0), 
% 0.88/1.29  'tc_sum'  [208, 2]      (w:1, o:227, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OPlusE__1'  [209, 4]      (w:1, o:281, a:1, s:1, b:0), 
% 0.88/1.29  'c_Main_OPlusE__2'  [210, 4]      (w:1, o:282, a:1, s:1, b:0), 
% 0.88/1.29  'c_Transitive__Closure_Otrancl'  [211, 2]      (w:1, o:221, a:1, s:1, b:0)
% 0.88/1.29    , 
% 0.88/1.29  'c_Relation_Otrans'  [212, 2]      (w:1, o:214, a:1, s:1, b:0), 
% 0.88/1.29  'c_Wellfounded__Relations_Olex__prod'  [215, 4]      (w:1, o:283, a:1, s:1
% 0.88/1.29    , b:0), 
% 0.88/1.29  'tc_Datatype_Ooption'  [219, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 0.88/1.29  'class_Finite__Set_Ofinite'  [220, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 0.88/1.29  'class_HOL_Ominus'  [221, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 0.88/1.29  'class_HOL_Oone'  [222, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 0.88/1.29  'class_Ring__and__Field_Osemiring'  [223, 1]      (w:1, o:104, a:1, s:1, b:
% 0.88/1.29    0), 
% 0.88/1.29  'class_Ring__and__Field_Ocomm__semiring'  [224, 1]      (w:1, o:107, a:1
% 0.88/1.29    , s:1, b:0), 
% 0.88/1.29  'class_OrderedGroup_Ocomm__monoid__add'  [225, 1]      (w:1, o:108, a:1, s:
% 0.88/1.29    1, b:0), 
% 0.88/1.29  'class_Ring__and__Field_Osemiring__0'  [226, 1]      (w:1, o:109, a:1, s:1
% 0.88/1.29    , b:0), 
% 0.88/1.29  'class_Ring__and__Field_Ocomm__semiring__0'  [227, 1]      (w:1, o:110, a:1
% 0.88/1.29    , s:1, b:0), 
% 0.88/1.29  'class_OrderedGroup_Ocancel__semigroup__add'  [228, 1]      (w:1, o:111, a:
% 0.88/1.29    1, s:1, b:0), 
% 0.88/1.29  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [229, 1]      (w:1, o:112
% 0.88/1.29    , a:1, s:1, b:0), 
% 0.88/1.29  'class_OrderedGroup_Oab__group__add'  [230, 1]      (w:1, o:113, a:1, s:1
% 0.88/1.29    , b:0), 
% 0.88/1.29  'class_Ring__and__Field_Osemiring__0__cancel'  [231, 1]      (w:1, o:114
% 0.88/1.29    , a:1, s:1, b:0), 
% 0.88/1.29  'class_Ring__and__Field_Oring'  [232, 1]      (w:1, o:102, a:1, s:1, b:0), 
% 0.88/1.29    
% 0.88/1.29  'class_HOL_Oplus'  [233, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 0.88/1.29  'class_Ring__and__Field_Ocomm__semiring__0__cancel'  [234, 1]      (w:1, o:
% 0.88/1.29    116, a:1, s:1, b:0), 
% 0.88/1.29  'class_Ring__and__Field_Ocomm__ring'  [235, 1]      (w:1, o:105, a:1, s:1
% 0.88/1.29    , b:0), 
% 0.88/1.29  'class_Ring__and__Field_Oaxclass__0__neq__1'  [236, 1]      (w:1, o:117, a:
% 0.88/1.29    1, s:1, b:0), 
% 0.88/1.29  'class_OrderedGroup_Omonoid__mult'  [237, 1]      (w:1, o:122, a:1, s:1, b:
% 0.88/1.29    0), 
% 0.88/1.29  'class_OrderedGroup_Ocomm__monoid__mult'  [238, 1]      (w:1, o:123, a:1
% 0.88/1.29    , s:1, b:0), 
% 0.88/1.29  'class_Ring__and__Field_Osemiring__1'  [239, 1]      (w:1, o:124, a:1, s:1
% 0.88/1.29    , b:0), 
% 0.88/1.29  'class_Ring__and__Field_Ocomm__semiring__1'  [240, 1]      (w:1, o:125, a:1
% 0.88/1.29    , s:1, b:0), 
% 0.88/1.29  'class_Ring__and__Field_Osemiring__1__cancel'  [241, 1]      (w:1, o:126
% 0.88/1.29    , a:1, s:1, b:0), 
% 0.88/1.29  'class_Ring__and__Field_Oring__1'  [242, 1]      (w:1, o:103, a:1, s:1, b:0
% 0.88/1.29    ), 
% 0.88/1.29  'class_Ring__and__Field_Ocomm__semiring__1__cancel'  [243, 1]      (w:1, o:
% 0.88/1.29    127, a:1, s:1, b:0), 
% 0.88/1.29  'class_HOL_Otimes'  [244, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Ocomm__ring__1'  [245, 1]      (w:1, o:106, a:1, s:
% 5.26/5.62    1, b:0), 
% 5.26/5.62  'class_LOrder_Omeet__semilorder'  [246, 1]      (w:1, o:130, a:1, s:1, b:0)
% 5.26/5.62    , 
% 5.26/5.62  'class_LOrder_Ojoin__semilorder'  [247, 1]      (w:1, o:131, a:1, s:1, b:0)
% 5.26/5.62    , 
% 5.26/5.62  'class_LOrder_Olorder'  [248, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Opordered__ab__semigroup__add'  [249, 1]      (w:1, o:
% 5.26/5.62    133, a:1, s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [250, 1]      
% 5.26/5.62    (w:1, o:134, a:1, s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [251, 1]      
% 5.26/5.62    (w:1, o:135, a:1, s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'  [252, 1]      
% 5.26/5.62    (w:1, o:132, a:1, s:1, b:0), 
% 5.26/5.62  'class_HOL_Ozero'  [253, 1]      (w:1, o:136, a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Opordered__semiring'  [254, 1]      (w:1, o:144, a:
% 5.26/5.62    1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Opordered__cancel__semiring'  [255, 1]      (w:1
% 5.26/5.62    , o:145, a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Oordered__semiring__strict'  [256, 1]      (w:1, o:
% 5.26/5.62    138, a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Opordered__comm__semiring'  [257, 1]      (w:1, o:
% 5.26/5.62    147, a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Opordered__cancel__comm__semiring'  [258, 1]      
% 5.26/5.62    (w:1, o:148, a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [259, 1]      
% 5.26/5.62    (w:1, o:139, a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Oaxclass__abs__if'  [260, 1]      (w:1, o:149, a:1
% 5.26/5.62    , s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Opordered__ab__group__add'  [261, 1]      (w:1, o:150
% 5.26/5.62    , a:1, s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Olordered__ab__group'  [262, 1]      (w:1, o:118, a:1
% 5.26/5.62    , s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Opordered__ring'  [263, 1]      (w:1, o:143, a:1
% 5.26/5.62    , s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Olordered__ab__group__abs'  [264, 1]      (w:1, o:119
% 5.26/5.62    , a:1, s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Olordered__ab__group__meet'  [265, 1]      (w:1, o:120
% 5.26/5.62    , a:1, s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Olordered__ab__group__join'  [266, 1]      (w:1, o:121
% 5.26/5.62    , a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Olordered__ring'  [267, 1]      (w:1, o:151, a:1
% 5.26/5.62    , s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Oaxclass__no__zero__divisors'  [268, 1]      (w:1
% 5.26/5.62    , o:152, a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Oordered__ring__strict'  [269, 1]      (w:1, o:137
% 5.26/5.62    , a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Oordered__semidom'  [270, 1]      (w:1, o:140, a:1
% 5.26/5.62    , s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Oidom'  [271, 1]      (w:1, o:153, a:1, s:1, b:0), 
% 5.26/5.62    
% 5.26/5.62  'class_Ring__and__Field_Oordered__idom'  [272, 1]      (w:1, o:141, a:1, s:
% 5.26/5.62    1, b:0), 
% 5.26/5.62  'class_Numeral_Onumber'  [273, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Osemigroup__add'  [274, 1]      (w:1, o:154, a:1, s:1
% 5.26/5.62    , b:0), 
% 5.26/5.62  'class_Numeral_Onumber__ring'  [275, 1]      (w:1, o:93, a:1, s:1, b:0), 
% 5.26/5.62  'class_Divides_Odiv'  [276, 1]      (w:1, o:155, a:1, s:1, b:0), 
% 5.26/5.62  'class_Nat_Opower'  [277, 1]      (w:1, o:94, a:1, s:1, b:0), 
% 5.26/5.62  'class_Power_Orecpower'  [278, 1]      (w:1, o:159, a:1, s:1, b:0), 
% 5.26/5.62  'class_Parity_Oeven__odd'  [279, 1]      (w:1, o:160, a:1, s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Oab__semigroup__add'  [280, 1]      (w:1, o:156, a:1
% 5.26/5.62    , s:1, b:0), 
% 5.26/5.62  'class_OrderedGroup_Osemigroup__mult'  [281, 1]      (w:1, o:157, a:1, s:1
% 5.26/5.62    , b:0), 
% 5.26/5.62  'class_OrderedGroup_Oab__semigroup__mult'  [282, 1]      (w:1, o:158, a:1
% 5.26/5.62    , s:1, b:0), 
% 5.26/5.62  'tc_Product__Type_Ounit'  [283, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 5.26/5.62  'tc_bool'  [284, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 5.26/5.62  'tc_fun'  [286, 2]      (w:1, o:228, a:1, s:1, b:0), 
% 5.26/5.62  'class_Wellfounded__Recursion_Owellorder'  [287, 1]      (w:1, o:161, a:1
% 5.26/5.62    , s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Odivision__by__zero'  [289, 1]      (w:1, o:162, a:
% 5.26/5.62    1, s:1, b:0), 
% 5.26/5.62  'class_HOL_Oinverse'  [290, 1]      (w:1, o:163, a:1, s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Ofield'  [291, 1]      (w:1, o:164, a:1, s:1, b:0)
% 5.26/5.62    , 
% 5.26/5.62  'class_Ring__and__Field_Oordered__field'  [292, 1]      (w:1, o:142, a:1
% 5.26/5.62    , s:1, b:0), 
% 5.26/5.62  'class_Ring__and__Field_Opordered__comm__ring'  [293, 1]      (w:1, o:146
% 5.26/5.62    , a:1, s:1, b:0), 
% 5.26/5.62  'v_b'  [294, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 12.91/13.28  'v_f'  [295, 1]      (w:1, o:165, a:1, s:1, b:0), 
% 12.91/13.28  'v_P'  [296, 1]      (w:1, o:166, a:1, s:1, b:0), 
% 12.91/13.28  'v_x'  [298, 2]      (w:1, o:229, a:1, s:1, b:0).
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Starting Search:
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    3093
% 12.91/13.28  Kept:         2000
% 12.91/13.28  Inuse:        75
% 12.91/13.28  Deleted:      0
% 12.91/13.28  Deletedinuse: 0
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    8117
% 12.91/13.28  Kept:         4011
% 12.91/13.28  Inuse:        167
% 12.91/13.28  Deleted:      1
% 12.91/13.28  Deletedinuse: 0
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    13092
% 12.91/13.28  Kept:         6089
% 12.91/13.28  Inuse:        236
% 12.91/13.28  Deleted:      5
% 12.91/13.28  Deletedinuse: 0
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    19926
% 12.91/13.28  Kept:         8293
% 12.91/13.28  Inuse:        291
% 12.91/13.28  Deleted:      5
% 12.91/13.28  Deletedinuse: 0
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    25432
% 12.91/13.28  Kept:         10449
% 12.91/13.28  Inuse:        336
% 12.91/13.28  Deleted:      5
% 12.91/13.28  Deletedinuse: 0
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    31717
% 12.91/13.28  Kept:         12487
% 12.91/13.28  Inuse:        386
% 12.91/13.28  Deleted:      5
% 12.91/13.28  Deletedinuse: 0
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    36771
% 12.91/13.28  Kept:         14753
% 12.91/13.28  Inuse:        431
% 12.91/13.28  Deleted:      5
% 12.91/13.28  Deletedinuse: 0
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    42513
% 12.91/13.28  Kept:         16828
% 12.91/13.28  Inuse:        475
% 12.91/13.28  Deleted:      7
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    47453
% 12.91/13.28  Kept:         19100
% 12.91/13.28  Inuse:        505
% 12.91/13.28  Deleted:      7
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying clauses:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    53147
% 12.91/13.28  Kept:         21160
% 12.91/13.28  Inuse:        565
% 12.91/13.28  Deleted:      145
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    59446
% 12.91/13.28  Kept:         23380
% 12.91/13.28  Inuse:        615
% 12.91/13.28  Deleted:      145
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    64463
% 12.91/13.28  Kept:         25712
% 12.91/13.28  Inuse:        690
% 12.91/13.28  Deleted:      145
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    68260
% 12.91/13.28  Kept:         27732
% 12.91/13.28  Inuse:        720
% 12.91/13.28  Deleted:      145
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    75095
% 12.91/13.28  Kept:         30183
% 12.91/13.28  Inuse:        745
% 12.91/13.28  Deleted:      145
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    80637
% 12.91/13.28  Kept:         32255
% 12.91/13.28  Inuse:        790
% 12.91/13.28  Deleted:      145
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    87643
% 12.91/13.28  Kept:         34353
% 12.91/13.28  Inuse:        815
% 12.91/13.28  Deleted:      145
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    96843
% 12.91/13.28  Kept:         36426
% 12.91/13.28  Inuse:        835
% 12.91/13.28  Deleted:      145
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    105115
% 12.91/13.28  Kept:         38782
% 12.91/13.28  Inuse:        850
% 12.91/13.28  Deleted:      145
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying clauses:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    114256
% 12.91/13.28  Kept:         41047
% 12.91/13.28  Inuse:        875
% 12.91/13.28  Deleted:      169
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    120291
% 12.91/13.28  Kept:         43198
% 12.91/13.28  Inuse:        905
% 12.91/13.28  Deleted:      169
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    126909
% 12.91/13.28  Kept:         45513
% 12.91/13.28  Inuse:        960
% 12.91/13.28  Deleted:      169
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    134050
% 12.91/13.28  Kept:         47531
% 12.91/13.28  Inuse:        990
% 12.91/13.28  Deleted:      169
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    139498
% 12.91/13.28  Kept:         49657
% 12.91/13.28  Inuse:        1040
% 12.91/13.28  Deleted:      169
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    146823
% 12.91/13.28  Kept:         51971
% 12.91/13.28  Inuse:        1065
% 12.91/13.28  Deleted:      169
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    151455
% 12.91/13.28  Kept:         54128
% 12.91/13.28  Inuse:        1075
% 12.91/13.28  Deleted:      169
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    156047
% 12.91/13.28  Kept:         56133
% 12.91/13.28  Inuse:        1125
% 12.91/13.28  Deleted:      169
% 12.91/13.28  Deletedinuse: 1
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    160838
% 12.91/13.28  Kept:         58543
% 12.91/13.28  Inuse:        1165
% 12.91/13.28  Deleted:      170
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying clauses:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    165636
% 12.91/13.28  Kept:         60837
% 12.91/13.28  Inuse:        1200
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    171145
% 12.91/13.28  Kept:         62958
% 12.91/13.28  Inuse:        1235
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    175980
% 12.91/13.28  Kept:         64983
% 12.91/13.28  Inuse:        1280
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    179860
% 12.91/13.28  Kept:         67149
% 12.91/13.28  Inuse:        1295
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    183445
% 12.91/13.28  Kept:         69287
% 12.91/13.28  Inuse:        1300
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    187681
% 12.91/13.28  Kept:         71350
% 12.91/13.28  Inuse:        1319
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    194264
% 12.91/13.28  Kept:         73443
% 12.91/13.28  Inuse:        1326
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    198695
% 12.91/13.28  Kept:         75543
% 12.91/13.28  Inuse:        1339
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    202966
% 12.91/13.28  Kept:         77662
% 12.91/13.28  Inuse:        1348
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    207609
% 12.91/13.28  Kept:         79770
% 12.91/13.28  Inuse:        1357
% 12.91/13.28  Deleted:      305
% 12.91/13.28  Deletedinuse: 2
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying clauses:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Intermediate Status:
% 12.91/13.28  Generated:    212238
% 12.91/13.28  Kept:         81789
% 12.91/13.28  Inuse:        1367
% 12.91/13.28  Deleted:      513
% 12.91/13.28  Deletedinuse: 3
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  Resimplifying inuse:
% 12.91/13.28  Done
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  Bliksems!, er is een bewijs:
% 12.91/13.28  % SZS status Unsatisfiable
% 12.91/13.28  % SZS output start Refutation
% 12.91/13.28  
% 12.91/13.28  clause( 151, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 12.91/13.28  .
% 12.91/13.28  clause( 274, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X
% 12.91/13.28    , Y ) ] )
% 12.91/13.28  .
% 12.91/13.28  clause( 1327, [ 'v_P'( 'v_f'( 'v_b' ) ) ] )
% 12.91/13.28  .
% 12.91/13.28  clause( 1328, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), 'c_in'( 
% 12.91/13.28    'v_x'( X, Y ), Y, 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  .
% 12.91/13.28  clause( 1329, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 
% 12.91/13.28    'v_x'( X, Y ) ) ) ] )
% 12.91/13.28  .
% 12.91/13.28  clause( 83288, [ ~( 'c_in'( 'v_f'( X ), 'c_insert'( Y, 'c_emptyset', 
% 12.91/13.28    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'v_x'( X, 'c_insert'( Y, 
% 12.91/13.28    'c_emptyset', 'tc_IntDef_Oint' ) ), Y ) ] )
% 12.91/13.28  .
% 12.91/13.28  clause( 83592, [ ~( 'c_in'( Y, Z, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 'v_x'( X
% 12.91/13.28    , Z ) ) ), ~( 'c_in'( 'v_f'( X ), 'c_insert'( Y, 'c_emptyset', T ), T ) )
% 12.91/13.28     ] )
% 12.91/13.28  .
% 12.91/13.28  clause( 83785, [ ~( 'v_P'( 'v_f'( X ) ) ) ] )
% 12.91/13.28  .
% 12.91/13.28  clause( 83787, [] )
% 12.91/13.28  .
% 12.91/13.28  
% 12.91/13.28  
% 12.91/13.28  % SZS output end Refutation
% 12.91/13.28  found a proof!
% 12.91/13.28  
% 12.91/13.28  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.91/13.28  
% 12.91/13.28  initialclauses(
% 12.91/13.28  [ clause( 83789, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 12.91/13.28    'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 12.91/13.28  , clause( 83790, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( 
% 12.91/13.28    X, Y ), Y ), Y ) ] )
% 12.91/13.28  , clause( 83791, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 12.91/13.28    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 83792, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 12.91/13.28    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 83793, [ ~( =( 'c_Datatype_Ooption_ONone', 
% 12.91/13.28    'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 12.91/13.28  , clause( 83794, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 12.91/13.28    'c_Datatype_Ooption_ONone' ) ) ] )
% 12.91/13.28  , clause( 83795, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 12.91/13.28    'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 12.91/13.28  , clause( 83796, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83797, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 12.91/13.28  , clause( 83798, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83799, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 12.91/13.28  , clause( 83800, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83801, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 12.91/13.28  , clause( 83802, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 12.91/13.28  , clause( 83803, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 12.91/13.28  , clause( 83804, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 12.91/13.28  , clause( 83805, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 12.91/13.28  , clause( 83806, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.91/13.28    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 12.91/13.28  , clause( 83807, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.91/13.28    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 12.91/13.28  , clause( 83808, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.91/13.28    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 12.91/13.28  , clause( 83809, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.91/13.28    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 12.91/13.28  , clause( 83810, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.91/13.28    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 12.91/13.28  , clause( 83811, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 
% 12.91/13.28    'c_0' ) ] )
% 12.91/13.28  , clause( 83812, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83813, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 12.91/13.28    , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 12.91/13.28  , clause( 83814, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 
% 12.91/13.28    'c_emptyset', X, Y ) ) ] )
% 12.91/13.28  , clause( 83815, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 
% 12.91/13.28    'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 12.91/13.28  , clause( 83816, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 12.91/13.28    , 'c_emptyset' ) ] )
% 12.91/13.28  , clause( 83817, [ ~( =( 'c_Extraction_Osumbool_OLeft', 
% 12.91/13.28    'c_Extraction_Osumbool_ORight' ) ) ] )
% 12.91/13.28  , clause( 83818, [ ~( =( 'c_Extraction_Osumbool_ORight', 
% 12.91/13.28    'c_Extraction_Osumbool_OLeft' ) ) ] )
% 12.91/13.28  , clause( 83819, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( 
% 12.91/13.28    T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 12.91/13.28    , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 12.91/13.28  , clause( 83820, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 
% 12.91/13.28    'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 
% 12.91/13.28    'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 83821, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 
% 12.91/13.28    'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 
% 12.91/13.28    'tc_set'( Y ) ) ] )
% 12.91/13.28  , clause( 83822, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.91/13.28     ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( 
% 12.91/13.28    Y ) ) ) ] )
% 12.91/13.28  , clause( 83823, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X, 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 83824, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y, 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 83825, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.91/13.28     ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 12.91/13.28    'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 12.91/13.28  , clause( 83826, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 12.91/13.28  , clause( 83827, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.91/13.28    'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 12.91/13.28  , clause( 83828, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 12.91/13.28    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 83829, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 12.91/13.28    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 83830, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 
% 12.91/13.28    'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 
% 12.91/13.28    'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83831, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.91/13.28    'tc_nat' ) ) ) ] )
% 12.91/13.28  , clause( 83832, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), 
% 12.91/13.28    =( X, Y ) ] )
% 12.91/13.28  , clause( 83833, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 
% 12.91/13.28    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 83834, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 12.91/13.28    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 83835, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 12.91/13.28    , =( X, 'c_0' ) ] )
% 12.91/13.28  , clause( 83836, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 83837, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 12.91/13.28     ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 83838, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 12.91/13.28    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 83839, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 12.91/13.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 12.91/13.28    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 12.91/13.28  , clause( 83840, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 12.91/13.28    =( X, 'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83841, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 12.91/13.28    =( Y, 'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83842, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 12.91/13.28    , 'c_List_Olist_ONil', X ) ) ] )
% 12.91/13.28  , clause( 83843, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), 
% 12.91/13.28    =( X, 'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83844, [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 
% 12.91/13.28    'c_List_Olist_ONil', X ) ) ] )
% 12.91/13.28  , clause( 83845, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 12.91/13.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 12.91/13.28    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 12.91/13.28  , clause( 83846, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 12.91/13.28    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 12.91/13.28    'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83847, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 12.91/13.28    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 12.91/13.28    'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 12.91/13.28  , clause( 83848, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 12.91/13.28     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 12.91/13.28    'tc_List_Olist'( Z ) ) ] )
% 12.91/13.28  , clause( 83849, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 12.91/13.28     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 12.91/13.28    'tc_List_Olist'( Z ) ) ] )
% 12.91/13.28  , clause( 83850, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 12.91/13.28    Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 12.91/13.28    , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 12.91/13.28    Z ) ) ] )
% 12.91/13.28  , clause( 83851, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 12.91/13.28    =( X, 'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83852, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 12.91/13.28    =( Y, 'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83853, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 12.91/13.28    , X ), 'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83854, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), 
% 12.91/13.28    =( X, T ) ] )
% 12.91/13.28  , clause( 83855, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 
% 12.91/13.28    'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83856, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 12.91/13.28  , clause( 83857, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 
% 12.91/13.28    'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83858, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 12.91/13.28  , clause( 83859, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 12.91/13.28    Z, T ) ) ), =( X, Z ) ] )
% 12.91/13.28  , clause( 83860, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 12.91/13.28    Z, T ) ) ), =( Y, T ) ] )
% 12.91/13.28  , clause( 83861, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 12.91/13.28     ), =( X, 'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83862, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( 
% 12.91/13.28    X ) ), 'c_0' ) ] )
% 12.91/13.28  , clause( 83863, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 12.91/13.28    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 83864, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 12.91/13.28     ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83865, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 12.91/13.28    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 
% 12.91/13.28    'c_List_Oremdups'( X, Y ), X ) ] )
% 12.91/13.28  , clause( 83866, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 12.91/13.28    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 12.91/13.28    'tc_List_Olist'( Y ) ) ) ] )
% 12.91/13.28  , clause( 83867, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 12.91/13.28     ) ) ) ] )
% 12.91/13.28  , clause( 83868, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.91/13.28    'c_List_Olist_ONil' ) ) ] )
% 12.91/13.28  , clause( 83869, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.91/13.28    'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83870, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.91/13.28    'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 12.91/13.28  , clause( 83871, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 12.91/13.28    , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( 
% 12.91/13.28    Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 12.91/13.28  , clause( 83872, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 12.91/13.28    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 12.91/13.28    'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 12.91/13.28  , clause( 83873, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), 
% 12.91/13.28    =( X, 'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83874, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 
% 12.91/13.28    'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83875, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), 
% 12.91/13.28    =( X, Z ) ] )
% 12.91/13.28  , clause( 83876, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), 
% 12.91/13.28    =( Y, T ) ] )
% 12.91/13.28  , clause( 83877, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 
% 12.91/13.28    'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83878, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 12.91/13.28  , clause( 83879, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 
% 12.91/13.28    'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83880, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 12.91/13.28  , clause( 83881, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 12.91/13.28    'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83882, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 83883, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 12.91/13.28    'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 83884, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 83885, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 12.91/13.28  , clause( 83886, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 12.91/13.28     ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83887, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 12.91/13.28    'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83888, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 12.91/13.28    'c_less'( X, Y, 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83889, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 12.91/13.28    , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83890, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 12.91/13.28  , clause( 83891, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 12.91/13.28  , clause( 83892, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 12.91/13.28     ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83893, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 12.91/13.28    'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83894, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 12.91/13.28    'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83895, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 83896, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 83897, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 12.91/13.28  , clause( 83898, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 83899, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83900, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 12.91/13.28    'c_0' ) ] )
% 12.91/13.28  , clause( 83901, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83902, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 12.91/13.28  , clause( 83903, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83904, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 12.91/13.28  , clause( 83905, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 83906, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 83907, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 83908, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 83909, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 83910, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 83911, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 12.91/13.28     ) ) ] )
% 12.91/13.28  , clause( 83912, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 12.91/13.28    , =( X, U ) ] )
% 12.91/13.28  , clause( 83913, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 12.91/13.28    , =( Y, W ) ] )
% 12.91/13.28  , clause( 83914, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 
% 12.91/13.28    'tc_prod'( Y, Y ) ) ] )
% 12.91/13.28  , clause( 83915, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 
% 12.91/13.28    'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 
% 12.91/13.28    'tc_prod'( T, U ) ) ] )
% 12.91/13.28  , clause( 83916, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.91/13.28     ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 12.91/13.28    , Z, T ), T ) ] )
% 12.91/13.28  , clause( 83917, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 
% 12.91/13.28    'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 12.91/13.28    'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 12.91/13.28  , clause( 83918, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.91/13.28     ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 
% 12.91/13.28    'tc_prod'( T, Z ) ) ] )
% 12.91/13.28  , clause( 83919, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 
% 12.91/13.28    'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 12.91/13.28  , clause( 83920, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 12.91/13.28    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), 
% 12.91/13.28    =( Y, Z ) ] )
% 12.91/13.28  , clause( 83921, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 12.91/13.28    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 12.91/13.28  , clause( 83922, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 12.91/13.28    Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 12.91/13.28  , clause( 83923, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 12.91/13.28    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 12.91/13.28    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 12.91/13.28  , clause( 83924, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 12.91/13.28    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 12.91/13.28    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 12.91/13.28  , clause( 83925, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 12.91/13.28    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( 
% 12.91/13.28    Y, Z ) ] )
% 12.91/13.28  , clause( 83926, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 12.91/13.28    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 12.91/13.28  , clause( 83927, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 12.91/13.28    Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 12.91/13.28  , clause( 83928, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 12.91/13.28    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 12.91/13.28    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 12.91/13.28  , clause( 83929, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 12.91/13.28    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 
% 12.91/13.28    'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 12.91/13.28  , clause( 83930, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 12.91/13.28    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 12.91/13.28     ) ) ), =( Y, Z ) ] )
% 12.91/13.28  , clause( 83931, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 12.91/13.28    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 12.91/13.28  , clause( 83932, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 12.91/13.28     ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 12.91/13.28  , clause( 83933, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 12.91/13.28    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 12.91/13.28     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 12.91/13.28  , clause( 83934, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 12.91/13.28    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 12.91/13.28    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 12.91/13.28  , clause( 83935, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 12.91/13.28    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 12.91/13.28    , =( Y, Z ) ] )
% 12.91/13.28  , clause( 83936, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 12.91/13.28    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 12.91/13.28  , clause( 83937, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 12.91/13.28     ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 12.91/13.28  , clause( 83938, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 12.91/13.28    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 12.91/13.28    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 12.91/13.28  , clause( 83939, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 12.91/13.28    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 12.91/13.28    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 12.91/13.28  , clause( 83940, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 
% 12.91/13.28    'tc_set'( Z ) ), Z ) ) ] )
% 12.91/13.28  , clause( 83941, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 12.91/13.28     ) ), Z ) ] )
% 12.91/13.28  , clause( 83942, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 12.91/13.28    'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 12.91/13.28  , clause( 83943, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 
% 12.91/13.28    'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 
% 12.91/13.28    'tc_set'( Y ) ) ] )
% 12.91/13.28  , clause( 83944, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 
% 12.91/13.28    'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( 
% 12.91/13.28    Z ) ), 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 83945, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 
% 12.91/13.28    'tc_set'( Z ) ), Z ) ) ] )
% 12.91/13.28  , clause( 83946, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 
% 12.91/13.28    'c_in'( X, Y, T ) ] )
% 12.91/13.28  , clause( 83947, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 
% 12.91/13.28    'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 12.91/13.28  , clause( 83948, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 12.91/13.28    , T ) ] )
% 12.91/13.28  , clause( 83949, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 12.91/13.28    , T ) ] )
% 12.91/13.28  , clause( 83950, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( 
% 12.91/13.28    X, 'c_inter'( T, Y, Z ), Z ) ] )
% 12.91/13.28  , clause( 83951, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 
% 12.91/13.28    'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 12.91/13.28  , clause( 83952, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 
% 12.91/13.28    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 83953, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 
% 12.91/13.28    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 83954, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 12.91/13.28  , clause( 83955, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 12.91/13.28    , Z ) ] )
% 12.91/13.28  , clause( 83956, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 12.91/13.28    , Z ) ] )
% 12.91/13.28  , clause( 83957, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 12.91/13.28    , T ), 'c_in'( X, Y, T ) ] )
% 12.91/13.28  , clause( 83958, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 
% 12.91/13.28    'c_emptyset' ) ] )
% 12.91/13.28  , clause( 83959, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 
% 12.91/13.28    'c_emptyset' ) ] )
% 12.91/13.28  , clause( 83960, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 
% 12.91/13.28    'c_emptyset' ) ] )
% 12.91/13.28  , clause( 83961, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 12.91/13.28     ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 12.91/13.28  , clause( 83962, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 12.91/13.28  , clause( 83963, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 12.91/13.28    , Z ) ] )
% 12.91/13.28  , clause( 83964, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 12.91/13.28  , clause( 83965, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 12.91/13.28    , T ), =( X, Y ) ] )
% 12.91/13.28  , clause( 83966, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 12.91/13.28  , clause( 83967, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 12.91/13.28    , Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83968, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 12.91/13.28    , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( 
% 12.91/13.28    Z ) ) ] )
% 12.91/13.28  , clause( 83969, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 12.91/13.28    'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 12.91/13.28    , Z ) ) ] )
% 12.91/13.28  , clause( 83970, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 12.91/13.28    , Y ) ) ), =( Z, X ) ] )
% 12.91/13.28  , clause( 83971, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 12.91/13.28    , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( 
% 12.91/13.28    Y ) ) ] )
% 12.91/13.28  , clause( 83972, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 12.91/13.28    'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 12.91/13.28    , Z ) ) ] )
% 12.91/13.28  , clause( 83973, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 12.91/13.28    T, Y, Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83974, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 12.91/13.28    T, Z, Y ) ) ) ] )
% 12.91/13.28  , clause( 83975, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 12.91/13.28    T, Y, Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83976, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 12.91/13.28    T, Z, Y ) ) ) ] )
% 12.91/13.28  , clause( 83977, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 
% 12.91/13.28    'c_Relation_Oconverse'( X, Y, Y ), Y ) ), 
% 12.91/13.28    'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 12.91/13.28  , clause( 83978, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 12.91/13.28    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 83979, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 12.91/13.28    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 12.91/13.28    'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 12.91/13.28  , clause( 83980, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 12.91/13.28    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 
% 12.91/13.28    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 12.91/13.28    'tc_prod'( Z, Z ) ) ) ] )
% 12.91/13.28  , clause( 83981, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 12.91/13.28    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 12.91/13.28    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 12.91/13.28    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 12.91/13.28  , clause( 83982, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 12.91/13.28    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 12.91/13.28    'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 12.91/13.28  , clause( 83983, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 12.91/13.28    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 12.91/13.28    , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 83984, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 12.91/13.28    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 12.91/13.28    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 12.91/13.28    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 12.91/13.28  , clause( 83985, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 12.91/13.28    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 12.91/13.28     ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 12.91/13.28  , clause( 83986, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 12.91/13.28    , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 
% 12.91/13.28    'tc_nat', 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 83987, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83988, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 12.91/13.28    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.91/13.28  , clause( 83989, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 12.91/13.28     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 12.91/13.28    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 12.91/13.28    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 12.91/13.28    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 12.91/13.28    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.91/13.28  , clause( 83990, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 12.91/13.28     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.91/13.28    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 12.91/13.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.91/13.28  , clause( 83991, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 12.91/13.28     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.91/13.28    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 12.91/13.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.91/13.28  , clause( 83992, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 12.91/13.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.91/13.28    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 12.91/13.28    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 12.91/13.28    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 12.91/13.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 12.91/13.28  , clause( 83993, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 12.91/13.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 12.91/13.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 12.91/13.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 12.91/13.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 12.91/13.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.91/13.28  , clause( 83994, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 12.91/13.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.91/13.28    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 12.91/13.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 12.91/13.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.91/13.28  , clause( 83995, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 12.91/13.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.91/13.28    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 12.91/13.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 12.91/13.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.91/13.28  , clause( 83996, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 12.91/13.28    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.91/13.28    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.91/13.28    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 12.91/13.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.91/13.28  , clause( 83997, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.91/13.28    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 12.91/13.28    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 12.91/13.28    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 12.91/13.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 12.91/13.28  , clause( 83998, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.91/13.28    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 12.91/13.28    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 12.91/13.28    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 12.91/13.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 12.91/13.28  , clause( 83999, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 12.91/13.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 12.91/13.28    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 12.91/13.28    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 12.91/13.28  , clause( 84000, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 12.91/13.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.91/13.28    'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 12.91/13.28  , clause( 84001, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 12.91/13.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.91/13.28    'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 12.91/13.28  , clause( 84002, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 12.91/13.28    Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 12.91/13.28    , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 12.91/13.28    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 12.91/13.28  , clause( 84003, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 12.91/13.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 12.91/13.28    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 12.91/13.28    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 12.91/13.28     ) ) ] )
% 12.91/13.28  , clause( 84004, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 12.91/13.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.91/13.28    'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 12.91/13.28    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84005, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 12.91/13.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.91/13.28    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 12.91/13.28    'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84006, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 12.91/13.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.91/13.28    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 12.91/13.28    , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 12.91/13.28  , clause( 84007, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 12.91/13.28    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 12.91/13.28    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 12.91/13.28  , clause( 84008, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 12.91/13.28    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 12.91/13.28    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 12.91/13.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 12.91/13.28  , clause( 84009, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84010, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84011, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84012, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84013, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 12.91/13.28    , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84014, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.91/13.28    X ) ) ] )
% 12.91/13.28  , clause( 84015, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.91/13.28     ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 12.91/13.28     ) ) ] )
% 12.91/13.28  , clause( 84016, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.91/13.28     ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84017, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.91/13.28     ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84018, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.91/13.28    'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 
% 12.91/13.28    'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 
% 12.91/13.28    'tc_set'( Y ) ) ] )
% 12.91/13.28  , clause( 84019, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.91/13.28    'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 12.91/13.28  , clause( 84020, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 12.91/13.28    'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84021, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 12.91/13.28    'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84022, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( 
% 12.91/13.28    Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 12.91/13.28  , clause( 84023, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 
% 12.91/13.28    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84024, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 12.91/13.28    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84025, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84026, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84027, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 
% 12.91/13.28    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84028, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 
% 12.91/13.28    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84029, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 
% 12.91/13.28    'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 
% 12.91/13.28    'tc_IntDef_Oint' ) ) ] )
% 12.91/13.28  , clause( 84030, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 12.91/13.28  , clause( 84031, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 12.91/13.28    , 'tc_set'( Y ) ) ] )
% 12.91/13.28  , clause( 84032, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 12.91/13.28    Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84033, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 12.91/13.28     ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84034, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 12.91/13.28    , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 12.91/13.28  , clause( 84035, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 12.91/13.28    , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84036, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 12.91/13.28    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 12.91/13.28    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 12.91/13.28    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 12.91/13.28    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 12.91/13.28  , clause( 84037, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 12.91/13.28    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 12.91/13.28    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 12.91/13.28    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 12.91/13.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 12.91/13.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 12.91/13.28  , clause( 84038, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 12.91/13.28    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 12.91/13.28    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 12.91/13.28    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 12.91/13.28    'tc_prod'( Z, Z ) ) ] )
% 12.91/13.28  , clause( 84039, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 12.91/13.28    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 12.91/13.28    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 12.91/13.28    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 12.91/13.28    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 12.91/13.28  , clause( 84040, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 12.91/13.28    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 12.91/13.28    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 12.91/13.28    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 12.91/13.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 12.91/13.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 12.91/13.28  , clause( 84041, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 12.91/13.28    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 12.91/13.28    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 12.91/13.28    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 12.91/13.28    'tc_prod'( T, T ) ) ] )
% 12.91/13.28  , clause( 84042, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 12.91/13.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 12.91/13.28    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 12.91/13.28    'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 84043, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 12.91/13.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 12.91/13.28    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 12.91/13.28    'c_List_Olist_ONil' ) ] )
% 12.91/13.28  , clause( 84044, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.91/13.28    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 
% 12.91/13.28    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 12.91/13.28  , clause( 84045, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.91/13.28    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 12.91/13.28  , clause( 84046, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 12.91/13.28    , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 12.91/13.28    , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 12.91/13.28  , clause( 84047, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 
% 12.91/13.28    'tc_List_Olist'( Y ) ) ] )
% 12.91/13.28  , clause( 84048, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 12.91/13.28    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 12.91/13.28    Y ) ) ] )
% 12.91/13.28  , clause( 84049, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 12.91/13.28    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 12.91/13.28     ) ) ] )
% 12.91/13.28  , clause( 84050, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84051, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84052, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 84053, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84054, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 12.91/13.28    , X ) ] )
% 12.91/13.28  , clause( 84055, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 
% 12.91/13.28    'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 
% 12.91/13.28    'tc_prod'( Z, T ) ) ] )
% 12.91/13.28  , clause( 84056, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.91/13.28     ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 12.91/13.28  , clause( 84057, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), 
% 12.91/13.28    =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 12.91/13.28     ) ) ] )
% 12.91/13.28  , clause( 84058, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 12.91/13.28    'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 12.91/13.28  , clause( 84059, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 12.91/13.28    'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 
% 12.91/13.28    'tc_prod'( T, U ) ) ] )
% 12.91/13.28  , clause( 84060, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 12.91/13.28     ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 12.91/13.28     ), U ) ] )
% 12.91/13.28  , clause( 84061, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 
% 12.91/13.28    'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 
% 12.91/13.28    'tc_prod'( Z, T ) ) ] )
% 12.91/13.28  , clause( 84062, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.91/13.28     ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 12.91/13.28  , clause( 84063, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 12.91/13.28    'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 12.91/13.28    , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84064, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 12.91/13.28    'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 12.91/13.28     ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 12.91/13.28  , clause( 84065, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 12.91/13.28    Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 
% 12.91/13.28    'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 12.91/13.28  , clause( 84066, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 12.91/13.28    Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 12.91/13.28  , clause( 84067, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 12.91/13.28    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 12.91/13.28  , clause( 84068, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 12.91/13.28    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 12.91/13.28    , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 
% 12.91/13.28    'tc_prod'( T, U ) ) ] )
% 12.91/13.28  , clause( 84069, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 12.91/13.28    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 12.91/13.28    , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 
% 12.91/13.28    'tc_prod'( W, T ) ) ] )
% 12.91/13.28  , clause( 84070, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 12.91/13.28    'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, 
% 12.91/13.28    T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 12.91/13.28  , clause( 84071, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.91/13.28     ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 
% 12.91/13.28    'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 12.91/13.28     ), 'tc_prod'( V0, T ) ) ] )
% 12.91/13.28  , clause( 84072, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 12.91/13.28    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 84073, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 12.91/13.28    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 12.91/13.28     ) ) ] )
% 12.91/13.28  , clause( 84074, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 12.91/13.28     ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 84075, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 12.91/13.28    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 12.91/13.28     ) ) ] )
% 12.91/13.28  , clause( 84076, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 84077, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 12.91/13.28    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 84078, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 12.91/13.28    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 12.91/13.28     ) ) ] )
% 12.91/13.28  , clause( 84079, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 12.91/13.28    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 84080, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 12.91/13.28    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 12.91/13.28     ) ) ] )
% 12.91/13.28  , clause( 84081, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 12.91/13.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.91/13.28  , clause( 84082, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 
% 12.91/13.28    'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 84083, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 
% 12.91/13.28    'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 12.91/13.28  , clause( 84084, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 12.91/13.28  , clause( 84085, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 12.91/13.28    'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 84086, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 12.91/13.28    'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 12.91/13.28  , clause( 84087, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 12.91/13.28  , clause( 84088, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 
% 12.91/13.28    Y, X, 'tc_set'( Z ) ) ) ] )
% 12.91/13.28  , clause( 84089, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 12.91/13.28    , Y, 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 84090, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 12.91/13.28    , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 12.91/13.28  , clause( 84091, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), 
% 12.91/13.28    =( X, Y ) ] )
% 12.91/13.28  , clause( 84092, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 12.91/13.28  , clause( 84093, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 
% 12.91/13.28    'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 12.91/13.28  , clause( 84094, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 
% 12.91/13.28    'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 12.91/13.28  , clause( 84095, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 12.91/13.28    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 84096, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 12.91/13.28    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 12.91/13.28  , clause( 84097, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 12.91/13.28    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 12.91/13.28  , clause( 84098, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 12.91/13.28  , clause( 84099, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 12.91/13.28    , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 12.91/13.28  , clause( 84100, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 12.91/13.28    , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 12.91/13.28  , clause( 84101, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 12.91/13.28    'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 12.91/13.28    , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 12.91/13.28    , T ), U, T ) ) ] )
% 12.91/13.28  , clause( 84102, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 12.91/13.28    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), 
% 12.91/13.28    =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 12.91/13.28  , clause( 84103, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 12.91/13.28    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 12.91/13.28    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 12.91/13.28  , clause( 84104, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 12.91/13.28    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 12.91/13.28    'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 12.91/13.28  , clause( 84105, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 12.91/13.28    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 12.91/13.28  , clause( 84106, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 12.91/13.28    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 12.91/13.28  , clause( 84107, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 12.91/13.28     ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 12.91/13.28    , Z ), 'tc_prod'( Z, Z ) ) ] )
% 12.91/13.28  , clause( 84108, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 12.91/13.28    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 12.91/13.28    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 12.91/13.28    'tc_prod'( Z, Z ) ) ] )
% 12.91/13.28  , clause( 84109, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 12.91/13.28  , clause( 84110, [ 'c_Relation_Otrans'( 
% 12.91/13.28    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84111, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( 
% 12.91/13.28    Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, 
% 12.91/13.28    X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 12.91/13.28  , clause( 84112, [ 'c_Wellfounded__Recursion_Owf'( 
% 12.91/13.28    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84113, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 12.91/13.28    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 12.91/13.28    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84114, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 12.91/13.28     ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 12.91/13.28  , clause( 84115, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84116, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84117, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84118, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84119, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84120, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84121, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84122, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84123, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84124, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84125, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84126, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84127, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84128, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84129, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84130, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84131, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84132, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84133, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84134, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84135, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84136, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84137, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84138, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84139, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84140, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84141, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84142, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84143, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84144, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84145, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84146, [ 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84147, [ 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84148, [ 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84149, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84150, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84151, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84152, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84153, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84154, [ 
% 12.91/13.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84155, [ 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84156, [ 'class_Ring__and__Field_Oaxclass__abs__if'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84157, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84158, [ 'class_OrderedGroup_Olordered__ab__group'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84159, [ 'class_Ring__and__Field_Opordered__ring'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84160, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84161, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84162, [ 'class_OrderedGroup_Olordered__ab__group__meet'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84163, [ 'class_OrderedGroup_Olordered__ab__group__join'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84164, [ 'class_Ring__and__Field_Olordered__ring'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84165, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84166, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84167, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84168, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84169, [ 'class_Ring__and__Field_Oordered__idom'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84170, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84171, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84172, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84173, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84174, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84175, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84176, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84177, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84178, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84179, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 12.91/13.28    'tc_IntDef_Oint' ) ] )
% 12.91/13.28  , clause( 84180, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84181, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 12.91/13.28  , clause( 84182, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 12.91/13.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84183, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 12.91/13.28  , clause( 84184, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84185, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84186, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84187, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84188, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84189, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84190, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84191, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84192, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84193, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84194, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84195, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84196, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84197, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84198, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84199, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84200, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84201, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84202, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84203, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84204, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84205, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84206, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84207, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84208, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84209, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84210, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84211, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84212, [ 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84213, [ 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84214, [ 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84215, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84216, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84217, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84218, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84219, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 12.91/13.28    'tc_nat' ) ] )
% 12.91/13.28  , clause( 84220, [ 
% 12.91/13.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84221, [ 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84222, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84223, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84224, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84225, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84226, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84227, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84228, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84229, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84230, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 12.91/13.28     )
% 12.91/13.28  , clause( 84231, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 12.91/13.28  , clause( 84232, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 12.91/13.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84233, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 12.91/13.28  , clause( 84234, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 12.91/13.28  , clause( 84235, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 12.91/13.28  , clause( 84236, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 12.91/13.28    'class_Finite__Set_Ofinite'( X ) ) ] )
% 12.91/13.28  , clause( 84237, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 12.91/13.28  , clause( 84238, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 12.91/13.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84239, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84240, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84241, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 12.91/13.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84242, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( 
% 12.91/13.28    X ) ] )
% 12.91/13.28  , clause( 84243, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84244, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 12.91/13.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84245, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84246, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84247, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84248, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84249, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84250, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84251, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84252, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84253, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84254, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84255, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84256, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.28  , clause( 84257, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84258, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.91/13.28  , clause( 84259, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84260, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84261, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.28  , clause( 84262, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84263, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84264, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.28  , clause( 84265, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.91/13.28  , clause( 84266, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84267, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.91/13.28  , clause( 84268, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84269, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.91/13.28  , clause( 84270, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84271, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Numeral_Onumber'( X ) ] )
% 12.91/13.28  , clause( 84272, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84273, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84274, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84275, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84276, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84277, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84278, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84279, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84280, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84281, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84282, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84283, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84284, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84285, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84286, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84287, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84288, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84289, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84290, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84291, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84292, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 12.91/13.28     ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84293, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84294, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84295, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84296, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84297, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84298, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84299, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84300, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84301, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84302, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84303, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84304, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84305, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84306, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84307, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84308, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84309, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84310, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84311, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84312, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_LOrder_Olorder'( X ) ] )
% 12.91/13.28  , clause( 84313, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84314, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84315, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84316, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84317, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84318, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.28  , clause( 84319, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84320, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84321, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84322, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84323, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.91/13.28  , clause( 84324, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84325, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84326, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84327, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84328, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84329, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_LOrder_Olorder'( X ) ] )
% 12.91/13.28  , clause( 84330, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84331, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84332, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84333, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84334, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84335, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84336, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84337, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84338, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.28  , clause( 84339, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84340, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84341, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84342, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84343, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84344, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84345, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84346, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84347, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84348, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84349, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84350, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.91/13.28  , clause( 84351, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_LOrder_Olorder'( X ) ] )
% 12.91/13.28  , clause( 84352, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84353, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84354, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84355, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84356, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.28  , clause( 84357, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84358, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84359, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84360, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.91/13.28     ), 'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84361, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84362, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84363, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84364, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84365, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84366, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84367, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84368, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84369, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.91/13.28  , clause( 84370, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_LOrder_Olorder'( X ) ] )
% 12.91/13.28  , clause( 84371, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84372, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84373, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84374, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84375, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.28  , clause( 84376, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84377, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84378, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84379, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.91/13.28     ), 'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84380, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84381, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84382, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84383, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84384, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84385, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_LOrder_Olorder'( X ) ] )
% 12.91/13.28  , clause( 84386, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84387, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84388, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.28  , clause( 84389, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84390, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84391, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84392, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84393, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84394, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84395, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84396, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_Orderings_Olinorder'( X ) ] )
% 12.91/13.28  , clause( 84397, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84398, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84399, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84400, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84401, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.28  , clause( 84402, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84403, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84404, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84405, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84406, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84407, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84408, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84409, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84410, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.91/13.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84411, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.91/13.28     ) ), 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84412, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.91/13.28     ) ), 'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84413, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.91/13.28     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84414, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.91/13.28     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84415, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.91/13.28     ) ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84416, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84417, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84418, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84419, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84420, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84421, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84422, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84423, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84424, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84425, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84426, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84427, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84428, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84429, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84430, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84431, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84432, [ ~( 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84433, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84434, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84435, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.91/13.28    'class_LOrder_Olorder'( X ) ] )
% 12.91/13.28  , clause( 84436, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.91/13.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84437, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.91/13.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84438, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84439, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84440, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84441, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84442, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84443, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84444, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84445, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84446, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84447, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84448, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84449, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84450, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.28  , clause( 84451, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.91/13.28  , clause( 84452, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84453, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 12.91/13.28     ] )
% 12.91/13.28  , clause( 84454, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84455, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84456, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84457, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84458, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84459, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.28  , clause( 84460, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84461, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84462, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84463, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 12.91/13.28     ) ] )
% 12.91/13.28  , clause( 84464, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84465, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84466, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84467, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84468, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84469, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84470, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84471, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 12.91/13.28    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84472, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 12.91/13.28    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84473, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84474, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84475, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84476, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84477, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84478, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84479, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84480, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84481, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.28  , clause( 84482, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84483, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84484, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84485, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84486, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84487, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84488, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84489, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84490, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84491, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84492, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.91/13.28  , clause( 84493, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.28  , clause( 84494, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84495, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84496, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84497, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84498, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84499, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84500, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84501, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84502, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84503, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84504, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84505, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.91/13.28  , clause( 84506, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84507, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.28  , clause( 84508, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.28  , clause( 84509, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84510, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84511, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.91/13.28  , clause( 84512, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84513, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84514, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84515, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84516, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84517, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84518, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84519, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84520, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84521, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84522, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84523, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84524, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84525, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84526, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84527, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84528, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84529, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84530, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84531, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84532, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84533, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84534, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84535, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84536, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84537, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84538, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84539, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84540, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84541, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84542, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84543, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84544, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84545, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84546, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84547, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84548, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84549, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84550, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84551, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84552, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84553, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84554, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.28  , clause( 84555, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84556, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84557, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84558, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84559, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84560, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84561, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84562, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.28  , clause( 84563, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84564, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84565, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84566, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84567, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84568, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84569, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84570, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84571, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.91/13.28  , clause( 84572, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84573, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84574, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84575, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84576, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84577, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84578, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84579, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84580, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84581, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84582, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84583, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84584, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84585, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84586, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84587, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84588, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84589, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.28  , clause( 84590, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.28  , clause( 84591, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84592, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84593, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.91/13.28    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84594, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84595, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 12.91/13.28    'class_HOL_Oinverse'( X ) ] )
% 12.91/13.28  , clause( 84596, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.91/13.28  , clause( 84597, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.91/13.28  , clause( 84598, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.28  , clause( 84599, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.28  , clause( 84600, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84601, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84602, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84603, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84604, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84605, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84606, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84607, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84608, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.91/13.28  , clause( 84609, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84610, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84611, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84612, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84613, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84614, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84615, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84616, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84617, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84618, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84619, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.28  , clause( 84620, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_HOL_Oinverse'( X ) ] )
% 12.91/13.28  , clause( 84621, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oidom'( X ) ] )
% 12.91/13.28  , clause( 84622, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.91/13.28  , clause( 84623, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84624, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84625, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84626, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.91/13.28  , clause( 84627, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84628, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84629, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.91/13.28  , clause( 84630, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.91/13.28  , clause( 84631, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.28  , clause( 84632, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.28  , clause( 84633, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84634, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84635, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84636, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84637, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84638, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84639, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84640, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84641, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.91/13.28  , clause( 84642, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84643, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84644, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84645, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84646, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84647, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84648, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84649, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84650, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84651, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84652, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.28  , clause( 84653, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.91/13.28  , clause( 84654, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84655, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84656, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84657, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.91/13.28  , clause( 84658, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84659, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84660, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 12.91/13.28  , clause( 84661, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.28  , clause( 84662, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84663, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84664, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84665, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84666, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84667, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84668, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84669, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84670, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84671, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84672, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84673, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84674, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84675, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84676, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84677, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 12.91/13.28  , clause( 84678, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.91/13.28  , clause( 84679, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_LOrder_Olorder'( X ) ] )
% 12.91/13.28  , clause( 84680, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84681, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84682, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 12.91/13.28  , clause( 84683, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84684, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 12.91/13.28  , clause( 84685, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84686, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.28  , clause( 84687, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84688, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.91/13.28  , clause( 84689, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.28  , clause( 84690, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84691, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84692, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84693, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84694, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84695, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84696, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Orderings_Olinorder'( X ) ] )
% 12.91/13.28  , clause( 84697, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_LOrder_Olorder'( X ) ] )
% 12.91/13.28  , clause( 84698, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84699, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84700, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.28  , clause( 84701, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84702, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84703, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84704, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84705, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84706, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84707, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84708, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.91/13.28  , clause( 84709, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.91/13.28  , clause( 84710, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84711, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.28  , clause( 84712, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84713, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84714, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84715, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84716, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84717, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84718, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84719, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84720, [ ~( 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84721, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ofield'( X ) ] )
% 12.91/13.28  , clause( 84722, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_HOL_Oinverse'( X ) ] )
% 12.91/13.28  , clause( 84723, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.91/13.28  , clause( 84724, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84725, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84726, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.28  , clause( 84727, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.28  , clause( 84728, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84729, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84730, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84731, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84732, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84733, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oidom'( X ) ] )
% 12.91/13.28  , clause( 84734, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84735, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84736, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84737, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84738, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84739, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84740, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84741, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84742, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84743, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84744, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.91/13.28  , clause( 84745, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84746, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.91/13.28  , clause( 84747, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84748, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84749, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 12.91/13.28  , clause( 84750, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 12.91/13.28  , clause( 84751, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84752, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84753, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 12.91/13.28  , clause( 84754, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.91/13.28  , clause( 84755, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.91/13.28  , clause( 84756, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84757, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Orderings_Olinorder'( X ) ] )
% 12.91/13.28  , clause( 84758, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 12.91/13.28  , clause( 84759, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 12.91/13.28  , clause( 84760, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 12.91/13.28  , clause( 84761, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.91/13.28  , clause( 84762, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.28  , clause( 84763, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 12.91/13.28  , clause( 84764, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 12.91/13.28  , clause( 84765, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 12.91/13.28  , clause( 84766, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.91/13.28  , clause( 84767, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.91/13.28  , clause( 84768, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_LOrder_Olorder'( X ) ] )
% 12.91/13.28  , clause( 84769, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84770, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.28  , clause( 84771, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84772, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.28  , clause( 84773, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84774, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84775, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.28  , clause( 84776, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Orderings_Oord'( X ) ] )
% 12.91/13.28  , clause( 84777, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.28  , clause( 84778, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 12.91/13.28  , clause( 84779, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.28  , clause( 84780, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_HOL_Ominus'( X ) ] )
% 12.91/13.28  , clause( 84781, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.91/13.28  , clause( 84782, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.91/13.28  , clause( 84783, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.91/13.28  , clause( 84784, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.28  , clause( 84785, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.28  , clause( 84786, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.28  , clause( 84787, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_HOL_Oone'( X ) ] )
% 12.91/13.28  , clause( 84788, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84789, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.28  , clause( 84790, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.28  , clause( 84791, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84792, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.28  , clause( 84793, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.28  , clause( 84794, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.91/13.28  , clause( 84795, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.28  , clause( 84796, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.28  , clause( 84797, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_HOL_Otimes'( X ) ] )
% 12.91/13.28  , clause( 84798, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.28  , clause( 84799, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_HOL_Ozero'( X ) ] )
% 12.91/13.28  , clause( 84800, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84801, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84802, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84803, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84804, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_HOL_Oplus'( X ) ] )
% 12.91/13.28  , clause( 84805, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.28  , clause( 84806, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 12.91/13.28  , clause( 84807, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.91/13.28  , clause( 84808, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.28  , clause( 84809, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.28    'class_Orderings_Olinorder'( X ) ] )
% 12.91/13.28  , clause( 84810, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_LOrder_Olorder'( X ) ] )
% 12.91/13.29  , clause( 84811, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.29  , clause( 84812, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.29  , clause( 84813, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.29  , clause( 84814, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84815, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 12.91/13.29  , clause( 84816, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.29  , clause( 84817, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.91/13.29  , clause( 84818, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.91/13.29  , clause( 84819, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.29  , clause( 84820, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84821, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 84822, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 84823, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 12.91/13.29  , clause( 84824, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 12.91/13.29  , clause( 84825, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 12.91/13.29  , clause( 84826, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 12.91/13.29  , clause( 84827, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_HOL_Ominus'( X ) ] )
% 12.91/13.29  , clause( 84828, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 12.91/13.29  , clause( 84829, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 12.91/13.29  , clause( 84830, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 12.91/13.29  , clause( 84831, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.91/13.29  , clause( 84832, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.91/13.29  , clause( 84833, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 12.91/13.29  , clause( 84834, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.91/13.29  , clause( 84835, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oidom'( X ) ] )
% 12.91/13.29  , clause( 84836, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.91/13.29  , clause( 84837, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.91/13.29  , clause( 84838, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.29  , clause( 84839, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.29  , clause( 84840, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.29  , clause( 84841, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.29  , clause( 84842, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 84843, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84844, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84845, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 84846, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 84847, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.91/13.29  , clause( 84848, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84849, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Orderings_Olinorder'( X ) ] )
% 12.91/13.29  , clause( 84850, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_LOrder_Olorder'( X ) ] )
% 12.91/13.29  , clause( 84851, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.29  , clause( 84852, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_HOL_Ominus'( X ) ] )
% 12.91/13.29  , clause( 84853, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.29  , clause( 84854, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.29  , clause( 84855, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84856, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.91/13.29  , clause( 84857, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.29  , clause( 84858, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84859, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 84860, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 84861, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 12.91/13.29  , clause( 84862, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.91/13.29  , clause( 84863, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 84864, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.91/13.29  , clause( 84865, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 12.91/13.29  , clause( 84866, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 12.91/13.29  , clause( 84867, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 12.91/13.29  , clause( 84868, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 12.91/13.29  , clause( 84869, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 12.91/13.29  , clause( 84870, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.91/13.29  , clause( 84871, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84872, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84873, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 84874, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 84875, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 84876, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.91/13.29     ), 'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 84877, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.91/13.29  , clause( 84878, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.91/13.29  , clause( 84879, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.29  , clause( 84880, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 84881, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 84882, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 84883, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 84884, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 84885, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 84886, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 84887, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 84888, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84889, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.91/13.29  , clause( 84890, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84891, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84892, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84893, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 84894, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 12.91/13.29  , clause( 84895, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.91/13.29  , clause( 84896, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84897, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Orderings_Olinorder'( X ) ] )
% 12.91/13.29  , clause( 84898, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_LOrder_Olorder'( X ) ] )
% 12.91/13.29  , clause( 84899, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.29  , clause( 84900, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.29  , clause( 84901, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.29  , clause( 84902, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.29  , clause( 84903, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84904, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 12.91/13.29  , clause( 84905, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.91/13.29  , clause( 84906, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.91/13.29  , clause( 84907, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.29  , clause( 84908, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84909, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 84910, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 84911, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.29  , clause( 84912, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.29  , clause( 84913, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.29  , clause( 84914, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_HOL_Oone'( X ) ] )
% 12.91/13.29  , clause( 84915, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 84916, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.29  , clause( 84917, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 84918, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 84919, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 12.91/13.29  , clause( 84920, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_LOrder_Olorder'( X ) ] )
% 12.91/13.29  , clause( 84921, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.29  , clause( 84922, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.29  , clause( 84923, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 12.91/13.29     )
% 12.91/13.29  , clause( 84924, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 12.91/13.29     )
% 12.91/13.29  , clause( 84925, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84926, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 84927, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 84928, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84929, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 84930, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84931, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 84932, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.91/13.29  , clause( 84933, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.29  , clause( 84934, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 84935, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 84936, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84937, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84938, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 84939, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 84940, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 12.91/13.29     )
% 12.91/13.29  , clause( 84941, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.91/13.29  , clause( 84942, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.29  , clause( 84943, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84944, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84945, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84946, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 84947, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 84948, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 84949, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84950, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84951, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.29  , clause( 84952, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.91/13.29  , clause( 84953, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.29  , clause( 84954, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 84955, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 84956, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 84957, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 84958, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 84959, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 84960, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 84961, [ ~( 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.91/13.29    'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 84962, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.29  , clause( 84963, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 84964, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 84965, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 84966, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 84967, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84968, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84969, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 84970, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 84971, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 84972, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 84973, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 84974, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 84975, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84976, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84977, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.91/13.29    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84978, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.91/13.29  , clause( 84979, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.29  , clause( 84980, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 84981, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 84982, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 84983, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 84984, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 84985, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84986, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84987, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84988, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84989, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 84990, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.29  , clause( 84991, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.91/13.29  , clause( 84992, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.29  , clause( 84993, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 84994, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 84995, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 84996, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_HOL_Ominus'( X ) ] )
% 12.91/13.29  , clause( 84997, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 84998, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.29  , clause( 84999, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.29  , clause( 85000, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85001, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 85002, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 85003, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.91/13.29  , clause( 85004, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.91/13.29  , clause( 85005, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85006, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 85007, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85008, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 85009, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 85010, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.29  , clause( 85011, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85012, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 85013, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 85014, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85015, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85016, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 85017, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85018, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.91/13.29     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85019, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.29  , clause( 85020, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.29  , clause( 85021, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 85022, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85023, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85024, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85025, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 85026, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.91/13.29  , clause( 85027, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85028, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 85029, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 85030, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.91/13.29  , clause( 85031, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_HOL_Ominus'( X ) ] )
% 12.91/13.29  , clause( 85032, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.91/13.29  , clause( 85033, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85034, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.91/13.29  , clause( 85035, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 85036, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85037, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85038, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 85039, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 85040, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85041, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.91/13.29    'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85042, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 85043, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 85044, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 85045, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 85046, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85047, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85048, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 85049, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85050, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85051, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85052, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 85053, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85054, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 85055, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85056, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85057, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85058, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 85059, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 85060, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85061, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85062, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85063, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85064, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.29  , clause( 85065, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_HOL_Ominus'( X ) ] )
% 12.91/13.29  , clause( 85066, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 85067, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.91/13.29    'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 85068, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oring'( X ) ] )
% 12.91/13.29  , clause( 85069, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.91/13.29  , clause( 85070, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 85071, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85072, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85073, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85074, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 85075, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.29  , clause( 85076, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.29  , clause( 85077, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.29  , clause( 85078, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_HOL_Oone'( X ) ] )
% 12.91/13.29  , clause( 85079, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.91/13.29  , clause( 85080, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_HOL_Ominus'( X ) ] )
% 12.91/13.29  , clause( 85081, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 85082, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85083, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85084, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 85085, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 85086, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85087, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.91/13.29    'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85088, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85089, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85090, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.91/13.29    'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85091, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85092, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.91/13.29    'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85093, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 85094, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85095, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85096, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.91/13.29    'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85097, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85098, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.91/13.29    'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85099, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 85100, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.91/13.29    'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 85101, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 85102, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 85103, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85104, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85105, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85106, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 85107, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85108, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85109, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85110, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 85111, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85112, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.29  , clause( 85113, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 85114, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85115, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.29  , clause( 85116, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_HOL_Oone'( X ) ] )
% 12.91/13.29  , clause( 85117, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 85118, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 85119, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85120, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85121, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 85122, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85123, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.91/13.29    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85124, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.91/13.29  , clause( 85125, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.91/13.29  , clause( 85126, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_HOL_Oone'( X ) ] )
% 12.91/13.29  , clause( 85127, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.91/13.29  , clause( 85128, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_HOL_Otimes'( X ) ] )
% 12.91/13.29  , clause( 85129, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85130, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85131, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.91/13.29  , clause( 85132, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.91/13.29  , clause( 85133, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.91/13.29  , clause( 85134, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.91/13.29  , clause( 85135, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_HOL_Ozero'( X ) ] )
% 12.91/13.29  , clause( 85136, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85137, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.91/13.29  , clause( 85138, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_HOL_Oplus'( X ) ] )
% 12.91/13.29  , clause( 85139, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.91/13.29    , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.91/13.29  , clause( 85140, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.91/13.29    'class_Orderings_Oord'( X ) ] )
% 12.91/13.29  , clause( 85141, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.91/13.29    'class_Orderings_Oorder'( X ) ] )
% 12.91/13.29  , clause( 85142, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.91/13.29    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.91/13.29  , clause( 85143, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.91/13.29    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.91/13.29  , clause( 85144, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.91/13.29    'class_LOrder_Olorder'( X ) ] )
% 12.91/13.29  , clause( 85145, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.91/13.29    'class_Orderings_Olinorder'( X ) ] )
% 12.91/13.29  , clause( 85146, [ 'v_P'( 'v_f'( 'v_b' ) ) ] )
% 12.91/13.29  , clause( 85147, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), 'c_in'( 
% 12.91/13.29    'v_x'( X, Y ), Y, 'tc_IntDef_Oint' ) ] )
% 12.91/13.29  , clause( 85148, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 
% 12.91/13.29    'v_x'( X, Y ) ) ) ] )
% 12.91/13.29  ] ).
% 12.91/13.29  
% 12.91/13.29  
% 12.91/13.29  
% 12.91/13.29  subsumption(
% 12.91/13.29  clause( 151,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------