TSTP Solution File: SET818-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET818-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.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 22:52:13 EDT 2022

% Result   : Unsatisfiable 8.55s 8.91s
% Output   : Refutation 8.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET818-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : bliksem %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Sun Jul 10 11:24:26 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.90/1.29  *** allocated 10000 integers for termspace/termends
% 0.90/1.29  *** allocated 10000 integers for clauses
% 0.90/1.29  *** allocated 10000 integers for justifications
% 0.90/1.29  *** allocated 15000 integers for termspace/termends
% 0.90/1.29  Bliksem 1.12
% 0.90/1.29  
% 0.90/1.29  
% 0.90/1.29  Automatic Strategy Selection
% 0.90/1.29  
% 0.90/1.29  Clauses:
% 0.90/1.29  [
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 0.90/1.29    'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 0.90/1.29     [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 0.90/1.29    , Y ) ],
% 0.90/1.29     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 0.90/1.29    'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.90/1.29     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 0.90/1.29    'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'( 
% 0.90/1.29    Z, Y ) ) ), =( X, Z ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.90/1.29    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.90/1.29    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.90/1.29    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.90/1.29    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.90/1.29    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 0.90/1.29     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.90/1.29     [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =( 
% 0.90/1.29    X, 'c_emptyset' ) ],
% 0.90/1.29     [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =( 
% 0.90/1.29    X, 'c_emptyset' ) ],
% 0.90/1.29     [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z, 
% 0.90/1.29    'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 0.90/1.29    , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ), 
% 0.90/1.29    'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 0.90/1.29    'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.90/1.29     ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.90/1.29    'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.90/1.29     ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.90/1.29     ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'( 
% 0.90/1.29    Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X, 
% 0.90/1.29    Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.90/1.29    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 0.90/1.29    , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 0.90/1.29     ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.90/1.29    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 0.90/1.29     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 0.90/1.29    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 0.90/1.29    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'( 
% 0.90/1.29    X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 0.90/1.29    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 0.90/1.29     [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 0.90/1.29    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 0.90/1.29    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 0.90/1.29    'tc_IntDef_Oint' ) ],
% 0.90/1.29     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 0.90/1.29     ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 0.90/1.29     [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 0.90/1.29    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 0.90/1.29    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 0.90/1.29    'tc_IntDef_Oint' ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 0.90/1.29    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 0.90/1.29    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil', 
% 0.90/1.29    'c_List_Olist_ONil', X ) ) ],
% 0.90/1.29     [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 0.90/1.29    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 0.90/1.29    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.90/1.29    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 0.90/1.29    Z ) ) ), =( X, T ) ],
% 0.90/1.29     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.90/1.29    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 0.90/1.29    Z ) ) ), =( Y, U ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.90/1.29    'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 0.90/1.29    'tc_List_Olist'( Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.90/1.29    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 0.90/1.29    'tc_List_Olist'( Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 0.90/1.29    'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 
% 0.90/1.29    'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ), 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 0.90/1.29     [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 0.90/1.29     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 0.90/1.29    =( X, Z ) ],
% 0.90/1.29     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 0.90/1.29    =( Y, T ) ],
% 0.90/1.29     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 0.90/1.29     ],
% 0.90/1.29     [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 0.90/1.29    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 0.90/1.29     [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 0.90/1.29    , =( X, 'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.90/1.29    , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X, 
% 0.90/1.29    Y ), X ) ],
% 0.90/1.29     [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 0.90/1.29    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 0.90/1.29    'tc_List_Olist'( Y ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 0.90/1.29     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.90/1.29     ) ), =( X, T ) ],
% 0.90/1.29     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.90/1.29     ) ), =( Y, U ) ],
% 0.90/1.29     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.90/1.29    , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 0.90/1.29    'c_List_Olist_ONil', Y ), Y ) ) ],
% 0.90/1.29     [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 0.90/1.29    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 0.90/1.29    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.90/1.29     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 0.90/1.29     [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 0.90/1.29     [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 0.90/1.29     [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 0.90/1.29     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.90/1.29     [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 0.90/1.29    'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ), 
% 0.90/1.29    'c_Suc'( Y ), 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 0.90/1.29    , 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 0.90/1.29    , 'tc_nat' ) ],
% 0.90/1.29     [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 0.90/1.29     [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 0.90/1.29     [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 
% 0.90/1.29    'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y, 
% 0.90/1.29    'tc_nat' ), 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X, 
% 0.90/1.29    'tc_nat' ), 'tc_nat' ) ],
% 0.90/1.29     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 0.90/1.29     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.90/1.29     [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 0.90/1.29     [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.90/1.29     [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.90/1.29     [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.90/1.29     [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 0.90/1.29     [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 0.90/1.29     [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 0.90/1.29     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.90/1.29     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.29     [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 0.90/1.29     [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 0.90/1.29     [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.90/1.29     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.90/1.29     ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 0.90/1.29    , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.90/1.29    , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.90/1.29    'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 0.90/1.29     ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 0.90/1.29    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 0.90/1.29    Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.90/1.29     ) ), =( X, Y ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'( 
% 0.90/1.29    Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.90/1.29    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.90/1.29    'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 0.90/1.29    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 0.90/1.29    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.90/1.29    'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 0.90/1.29    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'( 
% 0.90/1.29    Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.90/1.29    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.90/1.29    'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 0.90/1.29    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 0.90/1.29    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.90/1.29    'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( 
% 0.90/1.29    Z, X ), 'tc_set'( X ) ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.90/1.29    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.90/1.29     ) ) ), =( Y, Z ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.90/1.29    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 0.90/1.29    , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 0.90/1.29    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.90/1.29     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.29    , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 0.90/1.29    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'( 
% 0.90/1.29    Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.90/1.29    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 0.90/1.29    , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 0.90/1.29    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 0.90/1.29    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.29    , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 0.90/1.29    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 
% 0.90/1.29    Z ) ) ],
% 0.90/1.29     [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 0.90/1.29     ), =( X, Z ) ],
% 0.90/1.29     [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 0.90/1.29    'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 0.90/1.29     ],
% 0.90/1.29     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'( 
% 0.90/1.29    Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 0.90/1.29    , Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.90/1.29    , 'tc_set'( Z ) ), Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'( 
% 0.90/1.29    T, Y, Z ), Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 0.90/1.29     ) ), 'c_in'( T, X, Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 0.90/1.29    , 'tc_set'( Z ) ) ],
% 0.90/1.29     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 0.90/1.29    , 'tc_set'( Z ) ) ],
% 0.90/1.29     [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 0.90/1.29    X, Y, T ) ],
% 0.90/1.29     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 0.90/1.29    , 'c_Union'( T, Z ), Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.90/1.29     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 0.90/1.29     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =( 
% 0.90/1.29    X, T ) ],
% 0.90/1.29     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), 
% 0.90/1.29    'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.90/1.29     ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 0.90/1.29     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =( 
% 0.90/1.29    Z, X ) ],
% 0.90/1.29     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), 
% 0.90/1.29    'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.90/1.29     ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 0.90/1.29     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 0.90/1.29    , =( X, T ) ],
% 0.90/1.29     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 0.90/1.29     ],
% 0.90/1.29     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 0.90/1.29    , =( X, T ) ],
% 0.90/1.29     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 0.90/1.29     ],
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, 
% 0.90/1.29    Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 0.90/1.29    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.90/1.29    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'( 
% 0.90/1.29    T, Z ) ],
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.90/1.29    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.90/1.29    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 0.90/1.29    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 0.90/1.29    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 0.90/1.29    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.90/1.29    , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.90/1.29    , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.90/1.29    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.90/1.29    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 0.90/1.29    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 0.90/1.29    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 0.90/1.29    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.90/1.29     ), 'c_less'( X, Y, 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 
% 0.90/1.29    'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 
% 0.90/1.29    'tc_nat' ) ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 0.90/1.29     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.90/1.29    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 0.90/1.29    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 0.90/1.29    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 0.90/1.29    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 0.90/1.29    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.90/1.29     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.90/1.29     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.90/1.29    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.90/1.29    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.90/1.29    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 0.90/1.29    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 0.90/1.29    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.90/1.29     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 0.90/1.29    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 0.90/1.29    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.90/1.29    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 0.90/1.29    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.90/1.29    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 0.90/1.29    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.90/1.29    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 0.90/1.29    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 0.90/1.29    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.90/1.29    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.90/1.29    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.90/1.29    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 0.90/1.29    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.90/1.29     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.90/1.29    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.90/1.29    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.90/1.29    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 0.90/1.29    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.90/1.29     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 0.90/1.29    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 0.90/1.29    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'( 
% 0.90/1.29    Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'( 
% 0.90/1.29    Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.90/1.29    , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.90/1.29    , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 0.90/1.29    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 0.90/1.29    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 0.90/1.29    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.90/1.29     ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'( 
% 0.90/1.29    Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 0.90/1.29    X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 0.90/1.29    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 0.90/1.29    X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 0.90/1.29    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), 
% 0.90/1.29    'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.90/1.29    , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 0.90/1.29    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.90/1.29    , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 0.90/1.29    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 0.90/1.29    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 
% 0.90/1.29    'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.90/1.29    'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.90/1.29    'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.90/1.29    'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.90/1.29    , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'( 
% 0.90/1.29    'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.90/1.29    , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 0.90/1.29    , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 0.90/1.29    , 'tc_set'( Y ) ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.90/1.29     ) ), X, 'tc_nat' ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.90/1.29     ) ), Y, 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ), 
% 0.90/1.29    ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 0.90/1.29     [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 0.90/1.29    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.90/1.29     [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 0.90/1.29    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 0.90/1.29    'tc_IntDef_Oint' ) ],
% 0.90/1.29     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ), 
% 0.90/1.29    'tc_IntDef_Oint' ) ],
% 0.90/1.29     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 0.90/1.29    , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 0.90/1.29     ) ) ],
% 0.90/1.29     [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.90/1.29     [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 0.90/1.29    'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 0.90/1.29     [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'( 
% 0.90/1.29    'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y, 
% 0.90/1.29    'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.90/1.29     [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 0.90/1.29    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.90/1.29    'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.90/1.29    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.90/1.29    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 0.90/1.29    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 0.90/1.29    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.90/1.29    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.90/1.29    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 0.90/1.29    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 0.90/1.29    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.90/1.29    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.90/1.29    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.90/1.29    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 0.90/1.29    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 0.90/1.29    'tc_prod'( Z, Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.90/1.29    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.90/1.29    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 0.90/1.29    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 0.90/1.29    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.90/1.29    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.90/1.29    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 0.90/1.29    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 0.90/1.29    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.90/1.29    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.90/1.29    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.90/1.29    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 0.90/1.29    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 0.90/1.29    'tc_prod'( T, T ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 0.90/1.29    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 0.90/1.29    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 0.90/1.29    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 0.90/1.29    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 0.90/1.29    'c_List_Olist_ONil' ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.90/1.29    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 0.90/1.29    'tc_List_Olist'( Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.90/1.29    'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 
% 0.90/1.29    'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ), 
% 0.90/1.29    'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'( 
% 0.90/1.29    Y ) ) ],
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.90/1.29    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 0.90/1.29    Y ) ) ],
% 0.90/1.29     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.90/1.29    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.90/1.29     ) ) ],
% 0.90/1.29     [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 0.90/1.29     [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 0.90/1.29     [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 0.90/1.29    , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'( 
% 0.90/1.29    'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 0.90/1.29    'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 0.90/1.29    'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'( 
% 0.90/1.29    T, U ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W, 
% 0.90/1.29    'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 0.90/1.29     ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'( 
% 0.90/1.29    'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.90/1.29    , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.90/1.29    , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ), 
% 0.90/1.29    'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.90/1.29    , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ), 
% 0.90/1.29    'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 0.90/1.29    , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 0.90/1.29    , Z, Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), 
% 0.90/1.29    'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 0.90/1.29    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.90/1.29    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), 
% 0.90/1.29    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.90/1.29    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 0.90/1.29    'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 0.90/1.29     ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.90/1.29    U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 0.90/1.29    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 0.90/1.29     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 0.90/1.29    'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 0.90/1.29    , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0, 
% 0.90/1.29    T ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 0.90/1.29    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.90/1.29     [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 0.90/1.29    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.90/1.29     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y, 
% 0.90/1.29    Z ), Y, 'tc_set'( Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 0.90/1.29    'c_Inter'( Y, Z ), Z ) ],
% 0.90/1.29     [ 'c_in'( X, 'c_UNIV', Y ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.90/1.29    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'( 
% 0.90/1.29    X, Y, Z ), Z ) ],
% 0.90/1.29     [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 0.90/1.29     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 0.90/1.29    'tc_set'( Z ) ) ) ],
% 0.90/1.29     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'( 
% 0.90/1.29    Z ) ) ],
% 0.90/1.29     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'( 
% 0.90/1.29    Z ) ), =( X, Y ) ],
% 0.90/1.29     [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 0.90/1.29    ,
% 0.90/1.29     [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 0.90/1.29     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 0.90/1.29     ) ) ), =( X, Z ) ],
% 0.90/1.29     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 0.90/1.30    'c_in'( X, T, Z ) ],
% 0.90/1.30     [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.90/1.30    , 'tc_set'( Z ) ) ],
% 0.90/1.30     [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'( 
% 0.90/1.30    X, Y, 'tc_set'( Z ) ) ],
% 0.90/1.30     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 0.90/1.30    'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.90/1.30     [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.90/1.30     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ), 
% 0.90/1.30    'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 0.90/1.30     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ), 
% 0.90/1.30    'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 0.90/1.30     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.90/1.30    , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ), 
% 0.90/1.30    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.90/1.30    , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X, 
% 0.90/1.30    'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 0.90/1.30     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.90/1.30    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X, 
% 0.90/1.30    'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 0.90/1.30     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.90/1.30    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'( 
% 0.90/1.30    'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 0.90/1.30     [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 0.90/1.30    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.90/1.30     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.90/1.30     ), 'tc_prod'( Y, Y ) ) ],
% 0.90/1.30     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 0.90/1.30    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.90/1.30    'tc_prod'( Z, Z ) ) ],
% 0.90/1.30     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.90/1.30    , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.90/1.30    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.90/1.30     [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 0.90/1.30     [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ), 
% 0.90/1.30    'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 0.90/1.30    , 'tc_prod'( T, Y ) ) ],
% 0.90/1.30     [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 0.90/1.30    , 'tc_nat' ) ],
% 0.90/1.30     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 0.90/1.30    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 0.90/1.30    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 0.90/1.30     ],
% 0.90/1.30     [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~( 
% 0.90/1.30    'class_Finite__Set_Ofinite'( X ) ) ],
% 0.90/1.30     [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 0.90/1.30     ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 0.90/1.30     ) ],
% 0.90/1.30     [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 0.90/1.30     ],
% 0.90/1.30     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 0.90/1.30    'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 0.90/1.30    'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 0.90/1.30    'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 0.90/1.30     ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 0.90/1.30     ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 0.90/1.30     ],
% 0.90/1.30     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 0.90/1.30    'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 0.90/1.30    'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 0.90/1.30    'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 0.90/1.30     [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 0.90/1.30     [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.90/1.30    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.90/1.30     ],
% 0.90/1.30     [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 0.90/1.30     [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.90/1.30     ],
% 0.90/1.30     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.90/1.30     ) ],
% 0.90/1.30     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.90/1.30     ],
% 0.90/1.30     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 0.90/1.30     ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.90/1.30     ],
% 0.90/1.30     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.90/1.30     [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 0.90/1.30    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.90/1.30     ],
% 0.90/1.30     [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 0.90/1.30     [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 0.90/1.30     [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 0.90/1.30     [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 0.90/1.30    'class_Finite__Set_Ofinite'( X ) ) ],
% 0.90/1.30     [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 0.90/1.30     [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 0.90/1.30    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_HOL_Ominus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_HOL_Ominus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_HOL_Ominus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_HOL_Ominus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_Orderings_Olinorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_HOL_Ominus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30    , 'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30    , 'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30    , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30    , 'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 0.90/1.30    'class_HOL_Oone'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.90/1.30    'class_HOL_Ominus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_HOL_Oone'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Oone'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.90/1.30    'class_HOL_Oinverse'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oidom'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Orderings_Olinorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ofield'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_HOL_Oinverse'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oidom'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Orderings_Olinorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Orderings_Olinorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oidom'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Opordered__ring'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 0.90/1.30    'class_HOL_Otimes'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
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% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.90/1.30    'class_Orderings_Olinorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
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% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
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% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Orderings_Olinorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
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% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
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% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
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% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
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% 0.90/1.30    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 0.90/1.30    'class_HOL_Oplus'( X ) ],
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% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
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% 0.90/1.30    'class_Orderings_Oord'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
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% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 0.90/1.30    'class_HOL_Otimes'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 0.90/1.30    'class_HOL_Ozero'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
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% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
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% 0.90/1.30    'class_Orderings_Oord'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_HOL_Ominus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 0.90/1.30    X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.90/1.30    ,
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 0.90/1.30     ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 0.90/1.30     ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Oone'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Otimes'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Ozero'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_HOL_Oplus'( X ) ],
% 0.90/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.90/1.30    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.30     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.90/1.30    'class_Orderings_Oord'( X ) ],
% 0.90/1.30     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.90/1.30    'class_Orderings_Oorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.90/1.30    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.90/1.30    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.90/1.30    'class_LOrder_Olorder'( X ) ],
% 0.90/1.30     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.90/1.30    'class_Orderings_Olinorder'( X ) ],
% 0.90/1.30     [ 'c_in'( 'v_x'( X ), X, 'tc_IntDef_Oint' ) ],
% 0.90/1.30     [ ~( 'c_lessequals'( 'v_x'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ]
% 0.90/1.30  ] .
% 0.90/1.30  
% 0.90/1.30  
% 0.90/1.30  percentage equality = 0.074639, percentage horn = 0.979366
% 0.90/1.30  This is a problem with some equality
% 0.90/1.30  
% 0.90/1.30  
% 0.90/1.30  
% 0.90/1.30  Options Used:
% 0.90/1.30  
% 0.90/1.30  useres =            1
% 0.90/1.30  useparamod =        1
% 0.90/1.30  useeqrefl =         1
% 0.90/1.30  useeqfact =         1
% 0.90/1.30  usefactor =         1
% 0.90/1.30  usesimpsplitting =  0
% 0.90/1.30  usesimpdemod =      5
% 0.90/1.30  usesimpres =        3
% 0.90/1.30  
% 0.90/1.30  resimpinuse      =  1000
% 0.90/1.30  resimpclauses =     20000
% 0.90/1.30  substype =          eqrewr
% 0.90/1.30  backwardsubs =      1
% 0.90/1.30  selectoldest =      5
% 0.90/1.30  
% 0.90/1.30  litorderings [0] =  split
% 0.90/1.30  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.90/1.30  
% 0.90/1.30  termordering =      kbo
% 0.90/1.30  
% 0.90/1.30  litapriori =        0
% 0.90/1.30  termapriori =       1
% 0.90/1.30  litaposteriori =    0
% 0.90/1.30  termaposteriori =   0
% 0.90/1.30  demodaposteriori =  0
% 0.90/1.30  ordereqreflfact =   0
% 0.90/1.30  
% 0.90/1.30  litselect =         negord
% 0.90/1.30  
% 0.90/1.30  maxweight =         15
% 0.90/1.30  maxdepth =          30000
% 0.90/1.30  maxlength =         115
% 0.90/1.30  maxnrvars =         195
% 0.90/1.30  excuselevel =       1
% 0.90/1.30  increasemaxweight = 1
% 0.90/1.30  
% 0.90/1.30  maxselected =       10000000
% 0.90/1.30  maxnrclauses =      10000000
% 0.90/1.30  
% 0.90/1.30  showgenerated =    0
% 0.90/1.30  showkept =         0
% 0.90/1.30  showselected =     0
% 0.90/1.30  showdeleted =      0
% 0.90/1.30  showresimp =       1
% 0.90/1.30  showstatus =       2000
% 0.90/1.30  
% 0.90/1.30  prologoutput =     1
% 0.90/1.30  nrgoals =          5000000
% 0.90/1.30  totalproof =       1
% 0.90/1.30  
% 0.90/1.30  Symbols occurring in the translation:
% 0.90/1.30  
% 0.90/1.30  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.90/1.30  .  [1, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 0.90/1.30  !  [4, 1]      (w:0, o:80, a:1, s:1, b:0), 
% 0.90/1.30  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.90/1.30  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.90/1.30  'c_Datatype_Oo2s'  [42, 2]      (w:1, o:189, a:1, s:1, b:0), 
% 0.90/1.30  'c_in'  [43, 3]      (w:1, o:226, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype_Ooption_OSome'  [44, 2]      (w:1, o:190, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype_Ooption_ONone'  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_Onot__None__eq__iff1__1'  [46, 2]      (w:1, o:201, a:1, s:1, b:0)
% 0.90/1.30    , 
% 0.90/1.30  'c_Main_Onot__Some__eq__iff1__1'  [47, 2]      (w:1, o:202, a:1, s:1, b:0)
% 0.90/1.30    , 
% 0.90/1.30  'c_Datatype__Universe_OAtom'  [51, 3]      (w:1, o:227, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype__Universe_OScons'  [55, 4]      (w:1, o:259, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype__Universe_OIn0'  [56, 3]      (w:1, o:228, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype__Universe_OIn1'  [57, 3]      (w:1, o:229, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype__Universe_OLeaf'  [58, 3]      (w:1, o:230, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype__Universe_ONumb'  [60, 3]      (w:1, o:231, a:1, s:1, b:0), 
% 0.90/1.30  'c_0'  [63, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 0.90/1.30  'tc_nat'  [65, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 0.90/1.30  'c_Divides_Oop_Advd'  [66, 3]      (w:1, o:232, a:1, s:1, b:0), 
% 0.90/1.30  'c_emptyset'  [67, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 0.90/1.30  'c_Equiv__Relations_Oquotient'  [70, 3]      (w:1, o:234, a:1, s:1, b:0), 
% 0.90/1.30  'c_Extraction_Osumbool_OLeft'  [71, 0]      (w:1, o:33, a:1, s:1, b:0), 
% 0.90/1.30  'c_Extraction_Osumbool_ORight'  [72, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 0.90/1.30  'c_insert'  [74, 3]      (w:1, o:235, a:1, s:1, b:0), 
% 0.90/1.30  'tc_set'  [75, 1]      (w:1, o:85, a:1, s:1, b:0), 
% 0.90/1.30  'c_minus'  [76, 3]      (w:1, o:238, a:1, s:1, b:0), 
% 0.90/1.30  'c_Finite__Set_OFinites'  [77, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 0.90/1.30  'c_Pow'  [78, 2]      (w:1, o:203, a:1, s:1, b:0), 
% 0.90/1.30  'c_union'  [81, 3]      (w:1, o:240, a:1, s:1, b:0), 
% 0.90/1.30  'c_Relation_Oconverse'  [82, 3]      (w:1, o:241, a:1, s:1, b:0), 
% 0.90/1.30  'tc_prod'  [83, 2]      (w:1, o:204, a:1, s:1, b:0), 
% 0.90/1.30  'c_Pair'  [85, 4]      (w:1, o:260, a:1, s:1, b:0), 
% 0.90/1.30  'c_GCD_Ogcd'  [86, 1]      (w:1, o:86, a:1, s:1, b:0), 
% 0.90/1.30  'c_UNIV'  [87, 0]      (w:1, o:40, a:1, s:1, b:0), 
% 0.90/1.30  'c_IntDef_Oint'  [88, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 0.90/1.30  'tc_IntDef_Oint'  [91, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 0.90/1.30  'c_uminus'  [92, 2]      (w:1, o:205, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Olist_ONil'  [94, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 0.90/1.30  'tc_List_Olist'  [95, 1]      (w:1, o:88, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Olex'  [96, 2]      (w:1, o:191, a:1, s:1, b:0), 
% 0.90/1.30  'c_append'  [98, 3]      (w:1, o:242, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Orev'  [99, 2]      (w:1, o:192, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Olist_OCons'  [100, 3]      (w:1, o:243, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Olists'  [102, 2]      (w:1, o:194, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Ochar_OChar'  [106, 2]      (w:1, o:195, a:1, s:1, b:0), 
% 0.90/1.30  'c_Nat_Osize'  [109, 2]      (w:1, o:209, a:1, s:1, b:0), 
% 0.90/1.30  'c_less'  [110, 3]      (w:1, o:236, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Oremdups'  [111, 2]      (w:1, o:196, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Oset'  [114, 2]      (w:1, o:197, a:1, s:1, b:0), 
% 0.90/1.30  'c_Suc'  [115, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 0.90/1.30  'c_lessequals'  [116, 3]      (w:1, o:237, a:1, s:1, b:0), 
% 0.90/1.30  'c_plus'  [117, 3]      (w:1, o:244, a:1, s:1, b:0), 
% 0.90/1.30  'c_1'  [119, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 0.90/1.30  'c_Numeral_Obit_OB0'  [121, 0]      (w:1, o:56, a:1, s:1, b:0), 
% 0.90/1.30  'c_Numeral_Obit_OB1'  [122, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 0.90/1.30  'class_Orderings_Oorder'  [123, 1]      (w:1, o:93, a:1, s:1, b:0), 
% 0.90/1.30  'c_Relation_OId'  [125, 0]      (w:1, o:59, a:1, s:1, b:0), 
% 0.90/1.30  'c_Relation_OImage'  [126, 4]      (w:1, o:261, a:1, s:1, b:0), 
% 0.90/1.30  'class_Orderings_Olinorder'  [127, 1]      (w:1, o:94, a:1, s:1, b:0), 
% 0.90/1.30  'c_SetInterval_OatLeast'  [128, 2]      (w:1, o:212, a:1, s:1, b:0), 
% 0.90/1.30  'class_Orderings_Oord'  [129, 1]      (w:1, o:95, a:1, s:1, b:0), 
% 0.90/1.30  'c_SetInterval_OatMost'  [130, 2]      (w:1, o:213, a:1, s:1, b:0), 
% 0.90/1.30  'c_SetInterval_OgreaterThan'  [131, 2]      (w:1, o:214, a:1, s:1, b:0), 
% 0.90/1.30  'c_SetInterval_OlessThan'  [132, 2]      (w:1, o:215, a:1, s:1, b:0), 
% 0.90/1.30  'c_inter'  [134, 3]      (w:1, o:245, a:1, s:1, b:0), 
% 0.90/1.30  'c_Inter'  [137, 2]      (w:1, o:216, a:1, s:1, b:0), 
% 0.90/1.30  'c_Union'  [138, 2]      (w:1, o:219, a:1, s:1, b:0), 
% 0.90/1.30  'c_Sum__Type_OInl'  [139, 3]      (w:1, o:248, a:1, s:1, b:0), 
% 0.90/1.30  'c_Sum__Type_OInr'  [140, 3]      (w:1, o:249, a:1, s:1, b:0), 
% 0.90/1.30  'c_Wellfounded__Recursion_Oacyclic'  [141, 2]      (w:1, o:220, a:1, s:1
% 0.90/1.30    , b:0), 
% 0.90/1.30  'c_Transitive__Closure_Ortrancl'  [142, 2]      (w:1, o:217, a:1, s:1, b:0)
% 0.90/1.30    , 
% 0.90/1.30  'c_Wellfounded__Recursion_Owf'  [143, 2]      (w:1, o:221, a:1, s:1, b:0), 
% 0.90/1.30    
% 0.90/1.30  'c_Wellfounded__Relations_Oless__than'  [144, 0]      (w:1, o:63, a:1, s:1
% 0.90/1.30    , b:0), 
% 0.90/1.30  'c_Datatype__Universe_Odprod'  [146, 4]      (w:1, o:262, a:1, s:1, b:0), 
% 0.90/1.30  'tc_Datatype__Universe_Onode'  [147, 2]      (w:1, o:222, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OdprodE__1'  [148, 5]      (w:1, o:280, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OdprodE__2'  [149, 5]      (w:1, o:281, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OdprodE__3'  [150, 5]      (w:1, o:282, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OdprodE__4'  [151, 5]      (w:1, o:283, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype__Universe_Odsum'  [152, 4]      (w:1, o:263, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OdsumE__1'  [153, 4]      (w:1, o:266, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OdsumE__2'  [154, 4]      (w:1, o:267, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OdsumE__3'  [155, 4]      (w:1, o:268, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OdsumE__4'  [156, 4]      (w:1, o:269, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype__Universe_Ouprod'  [157, 4]      (w:1, o:270, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OuprodE__1'  [158, 5]      (w:1, o:284, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OuprodE__2'  [159, 5]      (w:1, o:285, a:1, s:1, b:0), 
% 0.90/1.30  'c_Datatype__Universe_Ousum'  [161, 4]      (w:1, o:271, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OusumE__1'  [162, 4]      (w:1, o:272, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_OusumE__2'  [163, 4]      (w:1, o:273, a:1, s:1, b:0), 
% 0.90/1.30  'c_times'  [164, 3]      (w:1, o:239, a:1, s:1, b:0), 
% 0.90/1.30  'c_Divides_Oop_Amod'  [166, 3]      (w:1, o:233, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_Omod__eq__0D__dest__1'  [167, 2]      (w:1, o:200, a:1, s:1, b:0), 
% 0.90/1.30    
% 0.90/1.30  'c_Main_Ofinite__Union__1'  [168, 2]      (w:1, o:206, a:1, s:1, b:0), 
% 0.90/1.30  'c_Infinite__Set_Oatmost__one'  [170, 2]      (w:1, o:223, a:1, s:1, b:0), 
% 0.90/1.30    
% 0.90/1.30  'c_Main_Ozmod__eq__0D__dest__1'  [171, 2]      (w:1, o:207, a:1, s:1, b:0)
% 0.90/1.30    , 
% 0.90/1.30  'c_List_Odistinct'  [172, 2]      (w:1, o:198, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_Oin__listsI__1'  [174, 3]      (w:1, o:250, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Olistrel'  [175, 2]      (w:1, o:193, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_Olistrel__Cons1__1'  [176, 5]      (w:1, o:286, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_Olistrel__Cons1__2'  [177, 5]      (w:1, o:287, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_Olistrel__Cons2__1'  [178, 5]      (w:1, o:288, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_Olistrel__Cons2__2'  [179, 5]      (w:1, o:289, a:1, s:1, b:0), 
% 0.90/1.30  'c_List_Olenlex'  [181, 2]      (w:1, o:199, a:1, s:1, b:0), 
% 0.90/1.30  'c_Relation_ODomain'  [182, 3]      (w:1, o:246, a:1, s:1, b:0), 
% 0.90/1.30  'c_Main_ODomainE__1'  [183, 4]      (w:1, o:274, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_OIdE__1'  [185, 2]      (w:1, o:208, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_OImageE__1'  [186, 5]      (w:1, o:290, a:1, s:1, b:0), 
% 0.90/1.33  'c_Relation_ORange'  [187, 3]      (w:1, o:247, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_ORangeE__1'  [188, 4]      (w:1, o:275, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_OconverseE__1'  [190, 4]      (w:1, o:264, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_OconverseE__2'  [191, 4]      (w:1, o:265, a:1, s:1, b:0), 
% 0.90/1.33  'c_Relation_Odiag'  [192, 2]      (w:1, o:210, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_OdiagE__1'  [193, 3]      (w:1, o:251, a:1, s:1, b:0), 
% 0.90/1.33  'c_Relation_Orel__comp'  [196, 5]      (w:1, o:291, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_Orel__compE__2'  [197, 6]      (w:1, o:293, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_Orel__compE__3'  [198, 6]      (w:1, o:294, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_Orel__compE__1'  [199, 6]      (w:1, o:292, a:1, s:1, b:0), 
% 0.90/1.33  'c_SetInterval_OatLeastAtMost'  [200, 3]      (w:1, o:252, a:1, s:1, b:0), 
% 0.90/1.33    
% 0.90/1.33  'c_SetInterval_OatLeastLessThan'  [201, 3]      (w:1, o:253, a:1, s:1, b:0)
% 0.90/1.33    , 
% 0.90/1.33  'c_SetInterval_OgreaterThanAtMost'  [202, 3]      (w:1, o:254, a:1, s:1, b:
% 0.90/1.33    0), 
% 0.90/1.33  'c_SetInterval_OgreaterThanLessThan'  [203, 3]      (w:1, o:255, a:1, s:1
% 0.90/1.33    , b:0), 
% 0.90/1.33  'c_Main_OInterI__1'  [204, 3]      (w:1, o:256, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_OUnionE__1'  [205, 3]      (w:1, o:257, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_OsubsetI__1'  [206, 3]      (w:1, o:258, a:1, s:1, b:0), 
% 0.90/1.33  'c_Sum__Type_OPlus'  [207, 4]      (w:1, o:276, a:1, s:1, b:0), 
% 0.90/1.33  'tc_sum'  [208, 2]      (w:1, o:224, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_OPlusE__1'  [209, 4]      (w:1, o:277, a:1, s:1, b:0), 
% 0.90/1.33  'c_Main_OPlusE__2'  [210, 4]      (w:1, o:278, a:1, s:1, b:0), 
% 0.90/1.33  'c_Transitive__Closure_Otrancl'  [211, 2]      (w:1, o:218, a:1, s:1, b:0)
% 0.90/1.33    , 
% 0.90/1.33  'c_Relation_Otrans'  [212, 2]      (w:1, o:211, a:1, s:1, b:0), 
% 0.90/1.33  'c_Wellfounded__Relations_Olex__prod'  [215, 4]      (w:1, o:279, a:1, s:1
% 0.90/1.33    , b:0), 
% 0.90/1.33  'tc_Datatype_Ooption'  [219, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 0.90/1.33  'class_Finite__Set_Ofinite'  [220, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 0.90/1.33  'class_HOL_Ominus'  [221, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 0.90/1.33  'class_HOL_Oone'  [222, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 0.90/1.33  'class_Ring__and__Field_Osemiring'  [223, 1]      (w:1, o:102, a:1, s:1, b:
% 0.90/1.33    0), 
% 0.90/1.33  'class_Ring__and__Field_Ocomm__semiring'  [224, 1]      (w:1, o:105, a:1
% 0.90/1.33    , s:1, b:0), 
% 0.90/1.33  'class_OrderedGroup_Ocomm__monoid__add'  [225, 1]      (w:1, o:106, a:1, s:
% 0.90/1.33    1, b:0), 
% 0.90/1.33  'class_Ring__and__Field_Osemiring__0'  [226, 1]      (w:1, o:107, a:1, s:1
% 0.90/1.33    , b:0), 
% 0.90/1.33  'class_Ring__and__Field_Ocomm__semiring__0'  [227, 1]      (w:1, o:108, a:1
% 0.90/1.33    , s:1, b:0), 
% 0.90/1.33  'class_OrderedGroup_Ocancel__semigroup__add'  [228, 1]      (w:1, o:109, a:
% 0.90/1.33    1, s:1, b:0), 
% 0.90/1.33  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [229, 1]      (w:1, o:110
% 0.90/1.33    , a:1, s:1, b:0), 
% 0.90/1.33  'class_OrderedGroup_Oab__group__add'  [230, 1]      (w:1, o:111, a:1, s:1
% 0.90/1.33    , b:0), 
% 0.90/1.33  'class_Ring__and__Field_Osemiring__0__cancel'  [231, 1]      (w:1, o:112
% 0.90/1.33    , a:1, s:1, b:0), 
% 0.90/1.33  'class_Ring__and__Field_Oring'  [232, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 0.90/1.33    
% 0.90/1.33  'class_HOL_Oplus'  [233, 1]      (w:1, o:113, a:1, s:1, b:0), 
% 0.90/1.33  'class_Ring__and__Field_Ocomm__semiring__0__cancel'  [234, 1]      (w:1, o:
% 0.90/1.33    114, a:1, s:1, b:0), 
% 0.90/1.33  'class_Ring__and__Field_Ocomm__ring'  [235, 1]      (w:1, o:103, a:1, s:1
% 0.90/1.33    , b:0), 
% 0.90/1.33  'class_Ring__and__Field_Oaxclass__0__neq__1'  [236, 1]      (w:1, o:115, a:
% 0.90/1.33    1, s:1, b:0), 
% 0.90/1.33  'class_OrderedGroup_Omonoid__mult'  [237, 1]      (w:1, o:120, a:1, s:1, b:
% 0.90/1.33    0), 
% 0.90/1.33  'class_OrderedGroup_Ocomm__monoid__mult'  [238, 1]      (w:1, o:121, a:1
% 0.90/1.33    , s:1, b:0), 
% 0.90/1.33  'class_Ring__and__Field_Osemiring__1'  [239, 1]      (w:1, o:122, a:1, s:1
% 0.90/1.33    , b:0), 
% 0.90/1.33  'class_Ring__and__Field_Ocomm__semiring__1'  [240, 1]      (w:1, o:123, a:1
% 0.90/1.33    , s:1, b:0), 
% 0.90/1.33  'class_Ring__and__Field_Osemiring__1__cancel'  [241, 1]      (w:1, o:124
% 0.90/1.33    , a:1, s:1, b:0), 
% 0.90/1.33  'class_Ring__and__Field_Oring__1'  [242, 1]      (w:1, o:101, a:1, s:1, b:0
% 0.90/1.33    ), 
% 0.90/1.33  'class_Ring__and__Field_Ocomm__semiring__1__cancel'  [243, 1]      (w:1, o:
% 0.90/1.33    125, a:1, s:1, b:0), 
% 0.90/1.33  'class_HOL_Otimes'  [244, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 0.90/1.33  'class_Ring__and__Field_Ocomm__ring__1'  [245, 1]      (w:1, o:104, a:1, s:
% 0.90/1.33    1, b:0), 
% 0.90/1.33  'class_LOrder_Omeet__semilorder'  [246, 1]      (w:1, o:128, a:1, s:1, b:0)
% 5.35/5.72    , 
% 5.35/5.72  'class_LOrder_Ojoin__semilorder'  [247, 1]      (w:1, o:129, a:1, s:1, b:0)
% 5.35/5.72    , 
% 5.35/5.72  'class_LOrder_Olorder'  [248, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Opordered__ab__semigroup__add'  [249, 1]      (w:1, o:
% 5.35/5.72    131, a:1, s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [250, 1]      
% 5.35/5.72    (w:1, o:132, a:1, s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [251, 1]      
% 5.35/5.72    (w:1, o:133, a:1, s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'  [252, 1]      
% 5.35/5.72    (w:1, o:130, a:1, s:1, b:0), 
% 5.35/5.72  'class_HOL_Ozero'  [253, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Opordered__semiring'  [254, 1]      (w:1, o:142, a:
% 5.35/5.72    1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Opordered__cancel__semiring'  [255, 1]      (w:1
% 5.35/5.72    , o:143, a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Oordered__semiring__strict'  [256, 1]      (w:1, o:
% 5.35/5.72    136, a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Opordered__comm__semiring'  [257, 1]      (w:1, o:
% 5.35/5.72    145, a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Opordered__cancel__comm__semiring'  [258, 1]      
% 5.35/5.72    (w:1, o:146, a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [259, 1]      
% 5.35/5.72    (w:1, o:137, a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Oaxclass__abs__if'  [260, 1]      (w:1, o:147, a:1
% 5.35/5.72    , s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Opordered__ab__group__add'  [261, 1]      (w:1, o:148
% 5.35/5.72    , a:1, s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Olordered__ab__group'  [262, 1]      (w:1, o:116, a:1
% 5.35/5.72    , s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Opordered__ring'  [263, 1]      (w:1, o:141, a:1
% 5.35/5.72    , s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Olordered__ab__group__abs'  [264, 1]      (w:1, o:117
% 5.35/5.72    , a:1, s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Olordered__ab__group__meet'  [265, 1]      (w:1, o:118
% 5.35/5.72    , a:1, s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Olordered__ab__group__join'  [266, 1]      (w:1, o:119
% 5.35/5.72    , a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Olordered__ring'  [267, 1]      (w:1, o:149, a:1
% 5.35/5.72    , s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Oaxclass__no__zero__divisors'  [268, 1]      (w:1
% 5.35/5.72    , o:150, a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Oordered__ring__strict'  [269, 1]      (w:1, o:135
% 5.35/5.72    , a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Oordered__semidom'  [270, 1]      (w:1, o:138, a:1
% 5.35/5.72    , s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Oidom'  [271, 1]      (w:1, o:151, a:1, s:1, b:0), 
% 5.35/5.72    
% 5.35/5.72  'class_Ring__and__Field_Oordered__idom'  [272, 1]      (w:1, o:139, a:1, s:
% 5.35/5.72    1, b:0), 
% 5.35/5.72  'class_Numeral_Onumber'  [273, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Osemigroup__add'  [274, 1]      (w:1, o:152, a:1, s:1
% 5.35/5.72    , b:0), 
% 5.35/5.72  'class_Numeral_Onumber__ring'  [275, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 5.35/5.72  'class_Divides_Odiv'  [276, 1]      (w:1, o:153, a:1, s:1, b:0), 
% 5.35/5.72  'class_Nat_Opower'  [277, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 5.35/5.72  'class_Power_Orecpower'  [278, 1]      (w:1, o:157, a:1, s:1, b:0), 
% 5.35/5.72  'class_Parity_Oeven__odd'  [279, 1]      (w:1, o:158, a:1, s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Oab__semigroup__add'  [280, 1]      (w:1, o:154, a:1
% 5.35/5.72    , s:1, b:0), 
% 5.35/5.72  'class_OrderedGroup_Osemigroup__mult'  [281, 1]      (w:1, o:155, a:1, s:1
% 5.35/5.72    , b:0), 
% 5.35/5.72  'class_OrderedGroup_Oab__semigroup__mult'  [282, 1]      (w:1, o:156, a:1
% 5.35/5.72    , s:1, b:0), 
% 5.35/5.72  'tc_Product__Type_Ounit'  [283, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 5.35/5.72  'tc_bool'  [284, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 5.35/5.72  'tc_fun'  [286, 2]      (w:1, o:225, a:1, s:1, b:0), 
% 5.35/5.72  'class_Wellfounded__Recursion_Owellorder'  [287, 1]      (w:1, o:159, a:1
% 5.35/5.72    , s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Odivision__by__zero'  [289, 1]      (w:1, o:160, a:
% 5.35/5.72    1, s:1, b:0), 
% 5.35/5.72  'class_HOL_Oinverse'  [290, 1]      (w:1, o:161, a:1, s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Ofield'  [291, 1]      (w:1, o:162, a:1, s:1, b:0)
% 5.35/5.72    , 
% 5.35/5.72  'class_Ring__and__Field_Oordered__field'  [292, 1]      (w:1, o:140, a:1
% 5.35/5.72    , s:1, b:0), 
% 5.35/5.72  'class_Ring__and__Field_Opordered__comm__ring'  [293, 1]      (w:1, o:144
% 5.35/5.72    , a:1, s:1, b:0), 
% 5.35/5.72  'v_x'  [294, 1]      (w:1, o:163, a:1, s:1, b:0).
% 5.35/5.72  
% 5.35/5.72  
% 5.35/5.72  Starting Search:
% 5.35/5.72  
% 5.35/5.72  Resimplifying inuse:
% 5.35/5.72  Done
% 5.35/5.72  
% 5.35/5.72  
% 5.35/5.72  Intermediate Status:
% 5.35/5.72  Generated:    3459
% 8.55/8.91  Kept:         2106
% 8.55/8.91  Inuse:        76
% 8.55/8.91  Deleted:      0
% 8.55/8.91  Deletedinuse: 0
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    9074
% 8.55/8.91  Kept:         4298
% 8.55/8.91  Inuse:        172
% 8.55/8.91  Deleted:      4
% 8.55/8.91  Deletedinuse: 0
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    14319
% 8.55/8.91  Kept:         6393
% 8.55/8.91  Inuse:        241
% 8.55/8.91  Deleted:      5
% 8.55/8.91  Deletedinuse: 0
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    20423
% 8.55/8.91  Kept:         8608
% 8.55/8.91  Inuse:        296
% 8.55/8.91  Deleted:      5
% 8.55/8.91  Deletedinuse: 0
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    26982
% 8.55/8.91  Kept:         10862
% 8.55/8.91  Inuse:        346
% 8.55/8.91  Deleted:      5
% 8.55/8.91  Deletedinuse: 0
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    33833
% 8.55/8.91  Kept:         13224
% 8.55/8.91  Inuse:        411
% 8.55/8.91  Deleted:      5
% 8.55/8.91  Deletedinuse: 0
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    38226
% 8.55/8.91  Kept:         15541
% 8.55/8.91  Inuse:        445
% 8.55/8.91  Deleted:      6
% 8.55/8.91  Deletedinuse: 0
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    44028
% 8.55/8.91  Kept:         17569
% 8.55/8.91  Inuse:        495
% 8.55/8.91  Deleted:      7
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    49908
% 8.55/8.91  Kept:         19946
% 8.55/8.91  Inuse:        530
% 8.55/8.91  Deleted:      7
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying clauses:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    55729
% 8.55/8.91  Kept:         22003
% 8.55/8.91  Inuse:        585
% 8.55/8.91  Deleted:      145
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    61204
% 8.55/8.91  Kept:         24047
% 8.55/8.91  Inuse:        640
% 8.55/8.91  Deleted:      145
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    65172
% 8.55/8.91  Kept:         26155
% 8.55/8.91  Inuse:        695
% 8.55/8.91  Deleted:      145
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    71204
% 8.55/8.91  Kept:         28930
% 8.55/8.91  Inuse:        730
% 8.55/8.91  Deleted:      145
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    77642
% 8.55/8.91  Kept:         30941
% 8.55/8.91  Inuse:        765
% 8.55/8.91  Deleted:      145
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    85061
% 8.55/8.91  Kept:         33576
% 8.55/8.91  Inuse:        810
% 8.55/8.91  Deleted:      145
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    92862
% 8.55/8.91  Kept:         35715
% 8.55/8.91  Inuse:        830
% 8.55/8.91  Deleted:      145
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    102119
% 8.55/8.91  Kept:         37913
% 8.55/8.91  Inuse:        845
% 8.55/8.91  Deleted:      145
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    112582
% 8.55/8.91  Kept:         40365
% 8.55/8.91  Inuse:        865
% 8.55/8.91  Deleted:      145
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying clauses:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    118941
% 8.55/8.91  Kept:         42710
% 8.55/8.91  Inuse:        900
% 8.55/8.91  Deleted:      169
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    125009
% 8.55/8.91  Kept:         44820
% 8.55/8.91  Inuse:        950
% 8.55/8.91  Deleted:      169
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    132511
% 8.55/8.91  Kept:         46892
% 8.55/8.91  Inuse:        980
% 8.55/8.91  Deleted:      169
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    138016
% 8.55/8.91  Kept:         49127
% 8.55/8.91  Inuse:        1035
% 8.55/8.91  Deleted:      169
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    145268
% 8.55/8.91  Kept:         51338
% 8.55/8.91  Inuse:        1060
% 8.55/8.91  Deleted:      169
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    151224
% 8.55/8.91  Kept:         54007
% 8.55/8.91  Inuse:        1075
% 8.55/8.91  Deleted:      169
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    155822
% 8.55/8.91  Kept:         56012
% 8.55/8.91  Inuse:        1125
% 8.55/8.91  Deleted:      169
% 8.55/8.91  Deletedinuse: 1
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    160602
% 8.55/8.91  Kept:         58422
% 8.55/8.91  Inuse:        1165
% 8.55/8.91  Deleted:      170
% 8.55/8.91  Deletedinuse: 2
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying clauses:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    165400
% 8.55/8.91  Kept:         60716
% 8.55/8.91  Inuse:        1200
% 8.55/8.91  Deleted:      305
% 8.55/8.91  Deletedinuse: 2
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    170936
% 8.55/8.91  Kept:         62837
% 8.55/8.91  Inuse:        1235
% 8.55/8.91  Deleted:      305
% 8.55/8.91  Deletedinuse: 2
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    175742
% 8.55/8.91  Kept:         64862
% 8.55/8.91  Inuse:        1280
% 8.55/8.91  Deleted:      305
% 8.55/8.91  Deletedinuse: 2
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    179616
% 8.55/8.91  Kept:         67024
% 8.55/8.91  Inuse:        1295
% 8.55/8.91  Deleted:      305
% 8.55/8.91  Deletedinuse: 2
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    183219
% 8.55/8.91  Kept:         69164
% 8.55/8.91  Inuse:        1300
% 8.55/8.91  Deleted:      305
% 8.55/8.91  Deletedinuse: 2
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    187432
% 8.55/8.91  Kept:         71221
% 8.55/8.91  Inuse:        1318
% 8.55/8.91  Deleted:      305
% 8.55/8.91  Deletedinuse: 2
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Intermediate Status:
% 8.55/8.91  Generated:    194133
% 8.55/8.91  Kept:         73406
% 8.55/8.91  Inuse:        1325
% 8.55/8.91  Deleted:      305
% 8.55/8.91  Deletedinuse: 2
% 8.55/8.91  
% 8.55/8.91  Resimplifying inuse:
% 8.55/8.91  Done
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  Bliksems!, er is een bewijs:
% 8.55/8.91  % SZS status Unsatisfiable
% 8.55/8.91  % SZS output start Refutation
% 8.55/8.91  
% 8.55/8.91  clause( 149, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 8.55/8.91  .
% 8.55/8.91  clause( 1327, [ 'c_in'( 'v_x'( X ), X, 'tc_IntDef_Oint' ) ] )
% 8.55/8.91  .
% 8.55/8.91  clause( 73742, [] )
% 8.55/8.91  .
% 8.55/8.91  
% 8.55/8.91  
% 8.55/8.91  % SZS output end Refutation
% 8.55/8.91  found a proof!
% 8.55/8.91  
% 8.55/8.91  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 8.55/8.91  
% 8.55/8.91  initialclauses(
% 8.55/8.91  [ clause( 73744, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 8.55/8.91    'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 8.55/8.91  , clause( 73745, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( 
% 8.55/8.91    X, Y ), Y ), Y ) ] )
% 8.55/8.91  , clause( 73746, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 8.55/8.91    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 8.55/8.91     ) ] )
% 8.55/8.91  , clause( 73747, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 8.55/8.91    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 8.55/8.91     ) ] )
% 8.55/8.91  , clause( 73748, [ ~( =( 'c_Datatype_Ooption_ONone', 
% 8.55/8.91    'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 8.55/8.91  , clause( 73749, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 8.55/8.91    'c_Datatype_Ooption_ONone' ) ) ] )
% 8.55/8.91  , clause( 73750, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 8.55/8.91    'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 8.55/8.91  , clause( 73751, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 8.55/8.91  , clause( 73752, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 8.55/8.91  , clause( 73753, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 8.55/8.91  , clause( 73754, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 8.55/8.91  , clause( 73755, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 8.55/8.91  , clause( 73756, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 8.55/8.91  , clause( 73757, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 8.55/8.91  , clause( 73758, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 8.55/8.91  , clause( 73759, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 8.55/8.91  , clause( 73760, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 8.55/8.91    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 8.55/8.91  , clause( 73761, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 8.55/8.91    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 8.55/8.91  , clause( 73762, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 8.55/8.91    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 8.55/8.91  , clause( 73763, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 8.55/8.91    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 8.55/8.91  , clause( 73764, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 8.55/8.92    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 8.55/8.92  , clause( 73765, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 8.55/8.92    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 8.55/8.92  , clause( 73766, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 
% 8.55/8.92    'c_0' ) ] )
% 8.55/8.92  , clause( 73767, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73768, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 8.55/8.92    , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 8.55/8.92  , clause( 73769, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 
% 8.55/8.92    'c_emptyset', X, Y ) ) ] )
% 8.55/8.92  , clause( 73770, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 
% 8.55/8.92    'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 8.55/8.92  , clause( 73771, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 8.55/8.92    , 'c_emptyset' ) ] )
% 8.55/8.92  , clause( 73772, [ ~( =( 'c_Extraction_Osumbool_OLeft', 
% 8.55/8.92    'c_Extraction_Osumbool_ORight' ) ) ] )
% 8.55/8.92  , clause( 73773, [ ~( =( 'c_Extraction_Osumbool_ORight', 
% 8.55/8.92    'c_Extraction_Osumbool_OLeft' ) ) ] )
% 8.55/8.92  , clause( 73774, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( 
% 8.55/8.92    T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 8.55/8.92    , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 8.55/8.92  , clause( 73775, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 
% 8.55/8.92    'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 
% 8.55/8.92    'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 73776, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 
% 8.55/8.92    'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 
% 8.55/8.92    'tc_set'( Y ) ) ] )
% 8.55/8.92  , clause( 73777, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 8.55/8.92     ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( 
% 8.55/8.92    Y ) ) ) ] )
% 8.55/8.92  , clause( 73778, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X, 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 73779, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y, 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 73780, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 8.55/8.92     ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 8.55/8.92    'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 8.55/8.92  , clause( 73781, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 8.55/8.92  , clause( 73782, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 8.55/8.92    'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 8.55/8.92  , clause( 73783, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 8.55/8.92    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 73784, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 8.55/8.92    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 73785, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 
% 8.55/8.92    'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 
% 8.55/8.92    'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73786, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 
% 8.55/8.92    'tc_nat' ) ) ) ] )
% 8.55/8.92  , clause( 73787, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), 
% 8.55/8.92    =( X, Y ) ] )
% 8.55/8.92  , clause( 73788, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 
% 8.55/8.92    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 73789, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 8.55/8.92    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 73790, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 8.55/8.92    , =( X, 'c_0' ) ] )
% 8.55/8.92  , clause( 73791, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 73792, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 8.55/8.92     ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73793, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 8.55/8.92    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 73794, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 8.55/8.92    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 8.55/8.92    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 8.55/8.92  , clause( 73795, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 8.55/8.92    =( X, 'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73796, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 8.55/8.92    =( Y, 'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73797, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 8.55/8.92    , 'c_List_Olist_ONil', X ) ) ] )
% 8.55/8.92  , clause( 73798, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), 
% 8.55/8.92    =( X, 'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73799, [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 
% 8.55/8.92    'c_List_Olist_ONil', X ) ) ] )
% 8.55/8.92  , clause( 73800, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 8.55/8.92    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 8.55/8.92    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 8.55/8.92  , clause( 73801, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 8.55/8.92    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 8.55/8.92    'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 8.55/8.92  , clause( 73802, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 8.55/8.92    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 8.55/8.92    'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 8.55/8.92  , clause( 73803, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 8.55/8.92     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 8.55/8.92    'tc_List_Olist'( Z ) ) ] )
% 8.55/8.92  , clause( 73804, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 8.55/8.92     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 8.55/8.92    'tc_List_Olist'( Z ) ) ] )
% 8.55/8.92  , clause( 73805, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 8.55/8.92    Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 8.55/8.92    , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 8.55/8.92    Z ) ) ] )
% 8.55/8.92  , clause( 73806, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 8.55/8.92    =( X, 'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73807, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 8.55/8.92    =( Y, 'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73808, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 8.55/8.92    , X ), 'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73809, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), 
% 8.55/8.92    =( X, T ) ] )
% 8.55/8.92  , clause( 73810, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 
% 8.55/8.92    'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73811, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 8.55/8.92  , clause( 73812, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 
% 8.55/8.92    'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73813, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 8.55/8.92  , clause( 73814, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 8.55/8.92    Z, T ) ) ), =( X, Z ) ] )
% 8.55/8.92  , clause( 73815, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 8.55/8.92    Z, T ) ) ), =( Y, T ) ] )
% 8.55/8.92  , clause( 73816, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 8.55/8.92     ), =( X, 'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73817, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( 
% 8.55/8.92    X ) ), 'c_0' ) ] )
% 8.55/8.92  , clause( 73818, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 8.55/8.92    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 73819, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 8.55/8.92     ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73820, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 8.55/8.92    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 
% 8.55/8.92    'c_List_Oremdups'( X, Y ), X ) ] )
% 8.55/8.92  , clause( 73821, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 8.55/8.92    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 8.55/8.92    'tc_List_Olist'( Y ) ) ) ] )
% 8.55/8.92  , clause( 73822, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 8.55/8.92     ) ) ) ] )
% 8.55/8.92  , clause( 73823, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 8.55/8.92    'c_List_Olist_ONil' ) ) ] )
% 8.55/8.92  , clause( 73824, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 8.55/8.92    'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 8.55/8.92  , clause( 73825, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 8.55/8.92    'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 8.55/8.92  , clause( 73826, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 8.55/8.92    , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( 
% 8.55/8.92    Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 8.55/8.92  , clause( 73827, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 8.55/8.92    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 8.55/8.92    'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 8.55/8.92  , clause( 73828, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), 
% 8.55/8.92    =( X, 'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73829, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 
% 8.55/8.92    'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73830, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), 
% 8.55/8.92    =( X, Z ) ] )
% 8.55/8.92  , clause( 73831, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), 
% 8.55/8.92    =( Y, T ) ] )
% 8.55/8.92  , clause( 73832, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 
% 8.55/8.92    'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73833, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 8.55/8.92  , clause( 73834, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 
% 8.55/8.92    'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73835, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 8.55/8.92  , clause( 73836, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 8.55/8.92    'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73837, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73838, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 8.55/8.92    'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73839, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73840, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 8.55/8.92  , clause( 73841, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 8.55/8.92     ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73842, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 8.55/8.92    'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73843, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 8.55/8.92    'c_less'( X, Y, 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73844, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 8.55/8.92    , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73845, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 8.55/8.92  , clause( 73846, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 8.55/8.92  , clause( 73847, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 8.55/8.92     ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73848, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 8.55/8.92    'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73849, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 8.55/8.92    'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73850, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73851, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73852, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 8.55/8.92  , clause( 73853, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 73854, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73855, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 8.55/8.92    'c_0' ) ] )
% 8.55/8.92  , clause( 73856, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73857, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 8.55/8.92  , clause( 73858, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73859, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 8.55/8.92  , clause( 73860, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 73861, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 73862, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 73863, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 73864, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 73865, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 73866, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 8.55/8.92     ) ) ] )
% 8.55/8.92  , clause( 73867, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 8.55/8.92    , =( X, U ) ] )
% 8.55/8.92  , clause( 73868, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 8.55/8.92    , =( Y, W ) ] )
% 8.55/8.92  , clause( 73869, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 
% 8.55/8.92    'tc_prod'( Y, Y ) ) ] )
% 8.55/8.92  , clause( 73870, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 
% 8.55/8.92    'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 
% 8.55/8.92    'tc_prod'( T, U ) ) ] )
% 8.55/8.92  , clause( 73871, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 8.55/8.92     ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 8.55/8.92    , Z, T ), T ) ] )
% 8.55/8.92  , clause( 73872, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 
% 8.55/8.92    'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 8.55/8.92    'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 8.55/8.92  , clause( 73873, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 8.55/8.92     ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 
% 8.55/8.92    'tc_prod'( T, Z ) ) ] )
% 8.55/8.92  , clause( 73874, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 
% 8.55/8.92    'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 8.55/8.92  , clause( 73875, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 8.55/8.92    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), 
% 8.55/8.92    =( Y, Z ) ] )
% 8.55/8.92  , clause( 73876, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 8.55/8.92    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 8.55/8.92  , clause( 73877, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 8.55/8.92    Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 8.55/8.92  , clause( 73878, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 8.55/8.92    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 8.55/8.92    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 8.55/8.92  , clause( 73879, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 8.55/8.92    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 8.55/8.92    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 8.55/8.92  , clause( 73880, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 8.55/8.92    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( 
% 8.55/8.92    Y, Z ) ] )
% 8.55/8.92  , clause( 73881, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 8.55/8.92    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 8.55/8.92  , clause( 73882, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 8.55/8.92    Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 8.55/8.92  , clause( 73883, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 8.55/8.92    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 8.55/8.92    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 8.55/8.92  , clause( 73884, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 8.55/8.92    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 
% 8.55/8.92    'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 8.55/8.92  , clause( 73885, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 8.55/8.92    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 8.55/8.92     ) ) ), =( Y, Z ) ] )
% 8.55/8.92  , clause( 73886, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 8.55/8.92    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 8.55/8.92  , clause( 73887, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 8.55/8.92     ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 8.55/8.92  , clause( 73888, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 8.55/8.92    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 8.55/8.92     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 8.55/8.92  , clause( 73889, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 8.55/8.92    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 8.55/8.92    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 8.55/8.92  , clause( 73890, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 8.55/8.92    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 8.55/8.92    , =( Y, Z ) ] )
% 8.55/8.92  , clause( 73891, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 8.55/8.92    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 8.55/8.92  , clause( 73892, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 8.55/8.92     ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 8.55/8.92  , clause( 73893, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 8.55/8.92    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 8.55/8.92    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 8.55/8.92  , clause( 73894, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 8.55/8.92    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 8.55/8.92    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 8.55/8.92  , clause( 73895, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 
% 8.55/8.92    'tc_set'( Z ) ), Z ) ) ] )
% 8.55/8.92  , clause( 73896, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 8.55/8.92     ) ), Z ) ] )
% 8.55/8.92  , clause( 73897, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 8.55/8.92    'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 8.55/8.92  , clause( 73898, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 
% 8.55/8.92    'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 
% 8.55/8.92    'tc_set'( Y ) ) ] )
% 8.55/8.92  , clause( 73899, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 
% 8.55/8.92    'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( 
% 8.55/8.92    Z ) ), 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 73900, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 
% 8.55/8.92    'tc_set'( Z ) ), Z ) ) ] )
% 8.55/8.92  , clause( 73901, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 
% 8.55/8.92    'c_in'( X, Y, T ) ] )
% 8.55/8.92  , clause( 73902, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 
% 8.55/8.92    'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 8.55/8.92  , clause( 73903, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 8.55/8.92    , T ) ] )
% 8.55/8.92  , clause( 73904, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 8.55/8.92    , T ) ] )
% 8.55/8.92  , clause( 73905, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( 
% 8.55/8.92    X, 'c_inter'( T, Y, Z ), Z ) ] )
% 8.55/8.92  , clause( 73906, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 
% 8.55/8.92    'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 8.55/8.92  , clause( 73907, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 
% 8.55/8.92    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 73908, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 
% 8.55/8.92    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 73909, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 8.55/8.92  , clause( 73910, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 8.55/8.92    , Z ) ] )
% 8.55/8.92  , clause( 73911, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 8.55/8.92    , Z ) ] )
% 8.55/8.92  , clause( 73912, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 8.55/8.92    , T ), 'c_in'( X, Y, T ) ] )
% 8.55/8.92  , clause( 73913, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 
% 8.55/8.92    'c_emptyset' ) ] )
% 8.55/8.92  , clause( 73914, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 
% 8.55/8.92    'c_emptyset' ) ] )
% 8.55/8.92  , clause( 73915, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 
% 8.55/8.92    'c_emptyset' ) ] )
% 8.55/8.92  , clause( 73916, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 8.55/8.92     ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 8.55/8.92  , clause( 73917, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 8.55/8.92  , clause( 73918, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 8.55/8.92    , Z ) ] )
% 8.55/8.92  , clause( 73919, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 8.55/8.92  , clause( 73920, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 8.55/8.92    , T ), =( X, Y ) ] )
% 8.55/8.92  , clause( 73921, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 8.55/8.92  , clause( 73922, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 8.55/8.92    , Z ) ) ), =( X, T ) ] )
% 8.55/8.92  , clause( 73923, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 8.55/8.92    , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( 
% 8.55/8.92    Z ) ) ] )
% 8.55/8.92  , clause( 73924, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 8.55/8.92    'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 8.55/8.92    , Z ) ) ] )
% 8.55/8.92  , clause( 73925, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 8.55/8.92    , Y ) ) ), =( Z, X ) ] )
% 8.55/8.92  , clause( 73926, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 8.55/8.92    , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( 
% 8.55/8.92    Y ) ) ] )
% 8.55/8.92  , clause( 73927, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 8.55/8.92    'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 8.55/8.92    , Z ) ) ] )
% 8.55/8.92  , clause( 73928, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 8.55/8.92    T, Y, Z ) ) ), =( X, T ) ] )
% 8.55/8.92  , clause( 73929, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 8.55/8.92    T, Z, Y ) ) ) ] )
% 8.55/8.92  , clause( 73930, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 8.55/8.92    T, Y, Z ) ) ), =( X, T ) ] )
% 8.55/8.92  , clause( 73931, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 8.55/8.92    T, Z, Y ) ) ) ] )
% 8.55/8.92  , clause( 73932, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 
% 8.55/8.92    'c_Relation_Oconverse'( X, Y, Y ), Y ) ), 
% 8.55/8.92    'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 8.55/8.92  , clause( 73933, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 8.55/8.92    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73934, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 8.55/8.92    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 8.55/8.92    'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 8.55/8.92  , clause( 73935, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 8.55/8.92    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 
% 8.55/8.92    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 8.55/8.92    'tc_prod'( Z, Z ) ) ) ] )
% 8.55/8.92  , clause( 73936, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 8.55/8.92    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 8.55/8.92    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 8.55/8.92    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 8.55/8.92  , clause( 73937, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 8.55/8.92    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 8.55/8.92    'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 8.55/8.92  , clause( 73938, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 8.55/8.92    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 8.55/8.92    , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 73939, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 8.55/8.92    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 8.55/8.92    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 8.55/8.92    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 8.55/8.92  , clause( 73940, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 8.55/8.92    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 8.55/8.92     ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73941, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 8.55/8.92    , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 
% 8.55/8.92    'tc_nat', 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 73942, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 8.55/8.92    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 8.55/8.92  , clause( 73943, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 8.55/8.92    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 8.55/8.92  , clause( 73944, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 8.55/8.92     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 8.55/8.92    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 8.55/8.92    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 8.55/8.92    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 8.55/8.92    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 8.55/8.92  , clause( 73945, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 8.55/8.92     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 8.55/8.92    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 8.55/8.92     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 8.55/8.92  , clause( 73946, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 8.55/8.92     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 8.55/8.92    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 8.55/8.92     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 8.55/8.92  , clause( 73947, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 8.55/8.92    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 8.55/8.92    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 8.55/8.92    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 8.55/8.92    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 8.55/8.92     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 8.55/8.92  , clause( 73948, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 8.55/8.92    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 8.55/8.92    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 8.55/8.92    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 8.55/8.92    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 8.55/8.92    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 8.55/8.92  , clause( 73949, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 8.55/8.92    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 8.55/8.92    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 8.55/8.92    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 8.55/8.92    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 8.55/8.92  , clause( 73950, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 8.55/8.92    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 8.55/8.92    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 8.55/8.92    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 8.55/8.92    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 8.55/8.92  , clause( 73951, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 8.55/8.92    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 8.55/8.92    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 8.55/8.92    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 8.55/8.92    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 8.55/8.92  , clause( 73952, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 8.55/8.92    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 8.55/8.92    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 8.55/8.92    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 8.55/8.92     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 8.55/8.92  , clause( 73953, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 8.55/8.92    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 8.55/8.92    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 8.55/8.92    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 8.55/8.92     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 8.55/8.92  , clause( 73954, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 8.55/8.92     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 8.55/8.92    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 8.55/8.92    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 8.55/8.92  , clause( 73955, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 8.55/8.92     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 8.55/8.92    'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 8.55/8.92  , clause( 73956, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 8.55/8.92     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 8.55/8.92    'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 8.55/8.92  , clause( 73957, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 8.55/8.92    Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 8.55/8.92    , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 8.55/8.92    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 8.55/8.92  , clause( 73958, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 8.55/8.92    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 8.55/8.92    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 8.55/8.92    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 8.55/8.92     ) ) ] )
% 8.55/8.92  , clause( 73959, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 8.55/8.92    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 8.55/8.92    'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 8.55/8.92    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 73960, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 8.55/8.92    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 8.55/8.92    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 8.55/8.92    'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 73961, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 8.55/8.92    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 8.55/8.92    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 8.55/8.92    , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 8.55/8.92  , clause( 73962, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 8.55/8.92    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 8.55/8.92    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 8.55/8.92  , clause( 73963, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 8.55/8.92    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 8.55/8.92    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 8.55/8.92    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 8.55/8.92  , clause( 73964, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73965, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 73966, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 73967, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 73968, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 8.55/8.92    , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73969, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( 
% 8.55/8.92    X ) ) ] )
% 8.55/8.92  , clause( 73970, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 8.55/8.92     ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 8.55/8.92     ) ) ] )
% 8.55/8.92  , clause( 73971, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 8.55/8.92     ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73972, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 8.55/8.92     ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73973, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 8.55/8.92    'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 
% 8.55/8.92    'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 
% 8.55/8.92    'tc_set'( Y ) ) ] )
% 8.55/8.92  , clause( 73974, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 8.55/8.92    'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 8.55/8.92  , clause( 73975, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 8.55/8.92    'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73976, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 8.55/8.92    'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 8.55/8.92  , clause( 73977, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( 
% 8.55/8.92    Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 8.55/8.92  , clause( 73978, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 
% 8.55/8.92    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 73979, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 8.55/8.92    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 73980, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 73981, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 73982, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 
% 8.55/8.92    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 73983, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 
% 8.55/8.92    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 73984, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 
% 8.55/8.92    'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 
% 8.55/8.92    'tc_IntDef_Oint' ) ) ] )
% 8.55/8.92  , clause( 73985, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 8.55/8.92  , clause( 73986, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 8.55/8.92    , 'tc_set'( Y ) ) ] )
% 8.55/8.92  , clause( 73987, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 8.55/8.92    Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 73988, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 8.55/8.92     ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 73989, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 8.55/8.92    , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 8.55/8.92  , clause( 73990, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 8.55/8.92    , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 73991, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 8.55/8.92    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 8.55/8.92    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 8.55/8.92    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 8.55/8.92    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 8.55/8.92  , clause( 73992, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 8.55/8.92    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 8.55/8.92    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 8.55/8.92    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 8.55/8.92    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 8.55/8.92    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 8.55/8.92  , clause( 73993, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 8.55/8.92    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 8.55/8.92    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 8.55/8.92    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 8.55/8.92    'tc_prod'( Z, Z ) ) ] )
% 8.55/8.92  , clause( 73994, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 8.55/8.92    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 8.55/8.92    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 8.55/8.92    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 8.55/8.92    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 8.55/8.92  , clause( 73995, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 8.55/8.92    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 8.55/8.92    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 8.55/8.92    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 8.55/8.92    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 8.55/8.92    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 8.55/8.92  , clause( 73996, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 8.55/8.92    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 8.55/8.92    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 8.55/8.92    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 8.55/8.92    'tc_prod'( T, T ) ) ] )
% 8.55/8.92  , clause( 73997, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 8.55/8.92    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 8.55/8.92    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 8.55/8.92    'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73998, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 8.55/8.92    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 8.55/8.92    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 8.55/8.92    'c_List_Olist_ONil' ) ] )
% 8.55/8.92  , clause( 73999, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 8.55/8.92    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 
% 8.55/8.92    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 8.55/8.92  , clause( 74000, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 8.55/8.92    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 8.55/8.92  , clause( 74001, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 8.55/8.92    , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 8.55/8.92    , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 8.55/8.92  , clause( 74002, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 
% 8.55/8.92    'tc_List_Olist'( Y ) ) ] )
% 8.55/8.92  , clause( 74003, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 8.55/8.92    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 8.55/8.92    Y ) ) ] )
% 8.55/8.92  , clause( 74004, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 8.55/8.92    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 8.55/8.92     ) ) ] )
% 8.55/8.92  , clause( 74005, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74006, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74007, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 74008, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74009, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 8.55/8.92    , X ) ] )
% 8.55/8.92  , clause( 74010, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 
% 8.55/8.92    'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 
% 8.55/8.92    'tc_prod'( Z, T ) ) ] )
% 8.55/8.92  , clause( 74011, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 8.55/8.92     ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 8.55/8.92  , clause( 74012, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), 
% 8.55/8.92    =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 8.55/8.92     ) ) ] )
% 8.55/8.92  , clause( 74013, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 8.55/8.92    'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 8.55/8.92  , clause( 74014, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 8.55/8.92    'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 
% 8.55/8.92    'tc_prod'( T, U ) ) ] )
% 8.55/8.92  , clause( 74015, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 8.55/8.92     ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 8.55/8.92     ), U ) ] )
% 8.55/8.92  , clause( 74016, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 
% 8.55/8.92    'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 
% 8.55/8.92    'tc_prod'( Z, T ) ) ] )
% 8.55/8.92  , clause( 74017, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 8.55/8.92     ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 8.55/8.92  , clause( 74018, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 8.55/8.92    'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 8.55/8.92    , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74019, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 8.55/8.92    'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 8.55/8.92     ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 8.55/8.92  , clause( 74020, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 8.55/8.92    Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 
% 8.55/8.92    'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 8.55/8.92  , clause( 74021, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 8.55/8.92    Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 8.55/8.92  , clause( 74022, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 8.55/8.92    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 8.55/8.92  , clause( 74023, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 8.55/8.92    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 8.55/8.92    , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 
% 8.55/8.92    'tc_prod'( T, U ) ) ] )
% 8.55/8.92  , clause( 74024, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 8.55/8.92    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 8.55/8.92    , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 
% 8.55/8.92    'tc_prod'( W, T ) ) ] )
% 8.55/8.92  , clause( 74025, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 8.55/8.92    'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, 
% 8.55/8.92    T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 8.55/8.92  , clause( 74026, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 8.55/8.92     ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 
% 8.55/8.92    'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 8.55/8.92     ), 'tc_prod'( V0, T ) ) ] )
% 8.55/8.92  , clause( 74027, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 8.55/8.92    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 74028, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 8.55/8.92    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 8.55/8.92     ) ) ] )
% 8.55/8.92  , clause( 74029, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 8.55/8.92     ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 74030, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 8.55/8.92    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 8.55/8.92     ) ) ] )
% 8.55/8.92  , clause( 74031, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 74032, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 8.55/8.92    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 74033, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 8.55/8.92    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 8.55/8.92     ) ) ] )
% 8.55/8.92  , clause( 74034, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 8.55/8.92    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 74035, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 8.55/8.92    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 8.55/8.92     ) ) ] )
% 8.55/8.92  , clause( 74036, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 8.55/8.92    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 8.55/8.92  , clause( 74037, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 
% 8.55/8.92    'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 74038, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 
% 8.55/8.92    'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 8.55/8.92  , clause( 74039, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 8.55/8.92  , clause( 74040, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 8.55/8.92    'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 74041, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 8.55/8.92    'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 8.55/8.92  , clause( 74042, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 8.55/8.92  , clause( 74043, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 
% 8.55/8.92    Y, X, 'tc_set'( Z ) ) ) ] )
% 8.55/8.92  , clause( 74044, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 8.55/8.92    , Y, 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 74045, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 8.55/8.92    , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 8.55/8.92  , clause( 74046, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), 
% 8.55/8.92    =( X, Y ) ] )
% 8.55/8.92  , clause( 74047, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 8.55/8.92  , clause( 74048, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 
% 8.55/8.92    'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 8.55/8.92  , clause( 74049, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 
% 8.55/8.92    'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 8.55/8.92  , clause( 74050, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 8.55/8.92    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 74051, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 8.55/8.92    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 8.55/8.92  , clause( 74052, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 8.55/8.92    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 8.55/8.92  , clause( 74053, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 8.55/8.92  , clause( 74054, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 8.55/8.92    , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 8.55/8.92  , clause( 74055, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 8.55/8.92    , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 8.55/8.92  , clause( 74056, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 8.55/8.92    'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 8.55/8.92    , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 8.55/8.92    , T ), U, T ) ) ] )
% 8.55/8.92  , clause( 74057, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 8.55/8.92    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), 
% 8.55/8.92    =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 8.55/8.92  , clause( 74058, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 8.55/8.92    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 8.55/8.92    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 8.55/8.92  , clause( 74059, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 8.55/8.92    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 8.55/8.92    'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 8.55/8.92  , clause( 74060, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 8.55/8.92    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 8.55/8.92  , clause( 74061, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 8.55/8.92    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 8.55/8.92  , clause( 74062, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 8.55/8.92     ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 8.55/8.92    , Z ), 'tc_prod'( Z, Z ) ) ] )
% 8.55/8.92  , clause( 74063, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 8.55/8.92    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 8.55/8.92    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 8.55/8.92    'tc_prod'( Z, Z ) ) ] )
% 8.55/8.92  , clause( 74064, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 8.55/8.92  , clause( 74065, [ 'c_Relation_Otrans'( 
% 8.55/8.92    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74066, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( 
% 8.55/8.92    Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, 
% 8.55/8.92    X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 8.55/8.92  , clause( 74067, [ 'c_Wellfounded__Recursion_Owf'( 
% 8.55/8.92    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74068, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 8.55/8.92    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 8.55/8.92    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74069, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 8.55/8.92     ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 8.55/8.92  , clause( 74070, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74071, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74072, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74073, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74074, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74075, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74076, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74077, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74078, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74079, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74080, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74081, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74082, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74083, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74084, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74085, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74086, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74087, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74088, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74089, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74090, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74091, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74092, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74093, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74094, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74095, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74096, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74097, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74098, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74099, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74100, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74101, [ 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74102, [ 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74103, [ 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74104, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74105, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74106, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74107, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74108, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74109, [ 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74110, [ 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74111, [ 'class_Ring__and__Field_Oaxclass__abs__if'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74112, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74113, [ 'class_OrderedGroup_Olordered__ab__group'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74114, [ 'class_Ring__and__Field_Opordered__ring'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74115, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74116, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74117, [ 'class_OrderedGroup_Olordered__ab__group__meet'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74118, [ 'class_OrderedGroup_Olordered__ab__group__join'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74119, [ 'class_Ring__and__Field_Olordered__ring'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74120, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74121, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74122, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74123, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74124, [ 'class_Ring__and__Field_Oordered__idom'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74125, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74126, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74127, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74128, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74129, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74130, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74131, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74132, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74133, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74134, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 8.55/8.92    'tc_IntDef_Oint' ) ] )
% 8.55/8.92  , clause( 74135, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74136, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 8.55/8.92  , clause( 74137, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 8.55/8.92    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74138, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 8.55/8.92  , clause( 74139, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74140, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74141, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74142, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74143, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74144, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74145, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74146, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74147, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74148, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74149, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74150, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74151, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74152, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74153, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74154, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74155, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74156, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74157, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74158, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74159, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74160, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 74161, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74162, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74163, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74164, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 74165, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 74166, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 74167, [ 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74168, [ 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74169, [ 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74170, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74171, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 74172, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 74173, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74174, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 8.55/8.92    'tc_nat' ) ] )
% 8.55/8.92  , clause( 74175, [ 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74176, [ 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74177, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74178, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74179, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74180, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74181, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74182, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74183, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74184, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74185, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74186, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 8.55/8.92  , clause( 74187, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 8.55/8.92    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74188, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 8.55/8.92  , clause( 74189, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 8.55/8.92  , clause( 74190, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 8.55/8.92  , clause( 74191, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 8.55/8.92    'class_Finite__Set_Ofinite'( X ) ) ] )
% 8.55/8.92  , clause( 74192, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 8.55/8.92  , clause( 74193, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 8.55/8.92    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74194, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74195, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74196, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 8.55/8.92    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74197, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( 
% 8.55/8.92    X ) ] )
% 8.55/8.92  , clause( 74198, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74199, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 8.55/8.92    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74200, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74201, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74202, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74203, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74204, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74205, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74206, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74207, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74208, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74209, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74210, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74211, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74212, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74213, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 8.55/8.92  , clause( 74214, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74215, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74216, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74217, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74218, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74219, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74220, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 8.55/8.92  , clause( 74221, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74222, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring__1'( X ) ] )
% 8.55/8.92  , clause( 74223, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74224, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 8.55/8.92  , clause( 74225, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74226, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Numeral_Onumber'( X ) ] )
% 8.55/8.92  , clause( 74227, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74228, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74229, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74230, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74231, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74232, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74233, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74234, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74235, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74236, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74237, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74238, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74239, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74240, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74241, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74242, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74243, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74244, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74245, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74246, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74247, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 8.55/8.92     ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74248, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74249, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74250, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74251, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74252, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74253, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74254, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74255, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74256, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74257, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74258, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74259, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74260, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74261, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74262, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74263, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74264, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74265, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74266, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74267, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74268, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74269, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74270, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74271, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74272, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74273, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74274, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74275, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74276, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74277, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74278, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 8.55/8.92  , clause( 74279, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74280, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74281, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74282, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74283, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74284, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74285, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74286, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74287, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74288, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74289, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74290, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74291, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74292, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74293, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74294, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74295, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74296, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74297, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74298, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74299, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74300, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74301, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74302, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74303, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74304, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74305, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 8.55/8.92  , clause( 74306, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74307, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74308, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74309, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74310, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74311, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74312, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74313, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74314, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74315, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 8.55/8.92     ), 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74316, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74317, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74318, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74319, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74320, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74321, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74322, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74323, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74324, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 8.55/8.92  , clause( 74325, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74326, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74327, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74328, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74329, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74330, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74331, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74332, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74333, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74334, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 8.55/8.92     ), 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74335, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74336, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74337, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74338, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74339, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74340, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74341, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74342, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74343, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74344, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74345, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74346, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74347, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74348, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74349, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74350, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74351, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_Orderings_Olinorder'( X ) ] )
% 8.55/8.92  , clause( 74352, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74353, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74354, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74355, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74356, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74357, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74358, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74359, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74360, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74361, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74362, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74363, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74364, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74365, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74366, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 8.55/8.92     ) ), 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74367, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 8.55/8.92     ) ), 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74368, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 8.55/8.92     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74369, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 8.55/8.92     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74370, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 8.55/8.92     ) ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74371, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74372, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74373, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74374, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74375, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74376, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74377, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74378, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74379, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74380, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74381, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74382, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74383, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74384, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74385, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74386, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74387, [ ~( 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74388, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74389, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74390, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 8.55/8.92    'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74391, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 8.55/8.92    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74392, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 8.55/8.92    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74393, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74394, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74395, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74396, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74397, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74398, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74399, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74400, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74401, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74402, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74403, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74404, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74405, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74406, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 8.55/8.92  , clause( 74407, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74408, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 8.55/8.92     ] )
% 8.55/8.92  , clause( 74409, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74410, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74411, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74412, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74413, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74414, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74415, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74416, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74417, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74418, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 8.55/8.92     ) ] )
% 8.55/8.92  , clause( 74419, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74420, [ ~( 'class_Power_Orecpower'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74421, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74422, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74423, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74424, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74425, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74426, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 8.55/8.92    X ) ), 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74427, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 8.55/8.92    X ) ), 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74428, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74429, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74430, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74431, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74432, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74433, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74434, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74435, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74436, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74437, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74438, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74439, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74440, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74441, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74442, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74443, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74444, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74445, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74446, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74447, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 8.55/8.92  , clause( 74448, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74449, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74450, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74451, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74452, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74453, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74454, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74455, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74456, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74457, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74458, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74459, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74460, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 8.55/8.92  , clause( 74461, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74462, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74463, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74464, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74465, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74466, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring__1'( X ) ] )
% 8.55/8.92  , clause( 74467, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74468, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74469, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74470, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74471, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74472, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74473, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74474, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74475, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74476, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74477, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74478, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74479, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74480, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74481, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74482, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74483, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74484, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74485, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74486, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74487, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74488, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74489, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74490, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74491, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74492, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74493, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74494, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74495, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74496, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74497, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74498, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74499, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74500, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74501, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74502, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74503, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74504, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74505, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74506, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74507, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74508, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74509, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74510, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74511, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74512, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74513, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74514, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74515, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74516, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74517, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74518, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74519, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74520, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74521, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74522, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74523, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74524, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74525, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74526, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 8.55/8.92  , clause( 74527, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74528, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74529, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74530, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74531, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74532, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74533, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74534, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74535, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74536, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74537, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74538, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74539, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74540, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74541, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74542, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74543, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74544, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74545, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74546, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74547, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74548, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74549, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74550, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 8.55/8.92    'class_HOL_Oinverse'( X ) ] )
% 8.55/8.92  , clause( 74551, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 8.55/8.92  , clause( 74552, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 8.55/8.92  , clause( 74553, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74554, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74555, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74556, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74557, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74558, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74559, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74560, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74561, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74562, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74563, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring__1'( X ) ] )
% 8.55/8.92  , clause( 74564, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74565, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74566, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74567, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74568, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74569, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74570, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74571, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74572, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74573, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74574, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74575, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_HOL_Oinverse'( X ) ] )
% 8.55/8.92  , clause( 74576, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oidom'( X ) ] )
% 8.55/8.92  , clause( 74577, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 8.55/8.92  , clause( 74578, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74579, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74580, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74581, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 8.55/8.92  , clause( 74582, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74583, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74584, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 8.55/8.92  , clause( 74585, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 8.55/8.92  , clause( 74586, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74587, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74588, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74589, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74590, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74591, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74592, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74593, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74594, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74595, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74596, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring__1'( X ) ] )
% 8.55/8.92  , clause( 74597, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74598, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74599, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74600, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74601, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74602, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74603, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74604, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74605, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74606, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74607, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74608, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 8.55/8.92  , clause( 74609, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74610, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74611, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74612, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 8.55/8.92  , clause( 74613, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74614, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74615, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 8.55/8.92  , clause( 74616, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74617, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74618, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74619, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74620, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74621, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74622, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74623, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74624, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74625, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74626, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74627, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74628, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74629, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74630, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74631, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74632, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 8.55/8.92  , clause( 74633, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 8.55/8.92  , clause( 74634, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74635, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74636, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74637, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 8.55/8.92  , clause( 74638, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74639, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 8.55/8.92  , clause( 74640, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74641, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74642, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74643, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 8.55/8.92  , clause( 74644, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74645, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74646, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74647, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74648, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74649, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74650, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74651, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Orderings_Olinorder'( X ) ] )
% 8.55/8.92  , clause( 74652, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74653, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74654, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74655, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74656, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74657, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74658, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74659, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74660, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74661, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74662, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74663, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 8.55/8.92  , clause( 74664, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 8.55/8.92  , clause( 74665, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74666, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74667, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74668, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74669, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74670, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74671, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74672, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74673, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74674, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74675, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74676, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ofield'( X ) ] )
% 8.55/8.92  , clause( 74677, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_HOL_Oinverse'( X ) ] )
% 8.55/8.92  , clause( 74678, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 8.55/8.92  , clause( 74679, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74680, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74681, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74682, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74683, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74684, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74685, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74686, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74687, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74688, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oidom'( X ) ] )
% 8.55/8.92  , clause( 74689, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74690, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74691, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74692, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74693, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74694, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74695, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74696, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74697, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74698, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74699, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 8.55/8.92  , clause( 74700, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74701, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 8.55/8.92  , clause( 74702, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74703, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74704, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 8.55/8.92  , clause( 74705, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 8.55/8.92  , clause( 74706, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74707, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74708, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 8.55/8.92  , clause( 74709, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 8.55/8.92  , clause( 74710, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 8.55/8.92  , clause( 74711, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74712, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Orderings_Olinorder'( X ) ] )
% 8.55/8.92  , clause( 74713, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 8.55/8.92  , clause( 74714, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 8.55/8.92  , clause( 74715, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 8.55/8.92  , clause( 74716, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 8.55/8.92  , clause( 74717, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74718, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 8.55/8.92  , clause( 74719, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 8.55/8.92  , clause( 74720, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 8.55/8.92  , clause( 74721, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring__1'( X ) ] )
% 8.55/8.92  , clause( 74722, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 8.55/8.92  , clause( 74723, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74724, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74725, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74726, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74727, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74728, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74729, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74730, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74731, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74732, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74733, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 8.55/8.92  , clause( 74734, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74735, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74736, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74737, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 8.55/8.92  , clause( 74738, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 8.55/8.92  , clause( 74739, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74740, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74741, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74742, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74743, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74744, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74745, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74746, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74747, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74748, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74749, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring__1'( X ) ] )
% 8.55/8.92  , clause( 74750, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74751, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74752, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74753, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74754, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74755, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74756, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74757, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74758, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74759, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74760, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74761, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 8.55/8.92  , clause( 74762, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 8.55/8.92  , clause( 74763, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74764, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Orderings_Olinorder'( X ) ] )
% 8.55/8.92  , clause( 74765, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74766, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74767, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74768, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74769, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74770, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74771, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74772, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 8.55/8.92  , clause( 74773, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74774, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74775, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74776, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74777, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74778, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 8.55/8.92  , clause( 74779, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 8.55/8.92  , clause( 74780, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 8.55/8.92  , clause( 74781, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 8.55/8.92  , clause( 74782, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74783, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 8.55/8.92  , clause( 74784, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 8.55/8.92  , clause( 74785, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 8.55/8.92  , clause( 74786, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 8.55/8.92  , clause( 74787, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74788, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 8.55/8.92  , clause( 74789, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 8.55/8.92  , clause( 74790, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oidom'( X ) ] )
% 8.55/8.92  , clause( 74791, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74792, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 8.55/8.92  , clause( 74793, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74794, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74795, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74796, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74797, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74798, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74799, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74800, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74801, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74802, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 8.55/8.92  , clause( 74803, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74804, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Orderings_Olinorder'( X ) ] )
% 8.55/8.92  , clause( 74805, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74806, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74807, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74808, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74809, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74810, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74811, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 8.55/8.92  , clause( 74812, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74813, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74814, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74815, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74816, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 8.55/8.92  , clause( 74817, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 8.55/8.92  , clause( 74818, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74819, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74820, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 8.55/8.92  , clause( 74821, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 8.55/8.92  , clause( 74822, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 8.55/8.92  , clause( 74823, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 8.55/8.92  , clause( 74824, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 8.55/8.92  , clause( 74825, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 8.55/8.92  , clause( 74826, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74827, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74828, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74829, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74830, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74831, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 8.55/8.92     ), 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74832, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74833, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 8.55/8.92  , clause( 74834, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74835, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74836, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74837, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74838, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74839, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74840, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74841, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74842, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74843, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74844, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74845, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74846, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74847, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74848, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74849, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 8.55/8.92  , clause( 74850, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 8.55/8.92  , clause( 74851, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74852, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Orderings_Olinorder'( X ) ] )
% 8.55/8.92  , clause( 74853, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74854, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74855, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 74856, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74857, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74858, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74859, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74860, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 8.55/8.92  , clause( 74861, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74862, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74863, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74864, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74865, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74866, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 74867, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 74868, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 74869, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 74870, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74871, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74872, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74873, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74874, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 8.55/8.92  , clause( 74875, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_LOrder_Olorder'( X ) ] )
% 8.55/8.92  , clause( 74876, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74877, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.92  , clause( 74878, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74879, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74880, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74881, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74882, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74883, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74884, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74885, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74886, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74887, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 8.55/8.92  , clause( 74888, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74889, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74890, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74891, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74892, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74893, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74894, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74895, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 8.55/8.92     )
% 8.55/8.92  , clause( 74896, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74897, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74898, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74899, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74900, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74901, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74902, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74903, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74904, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74905, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74906, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74907, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 8.55/8.92  , clause( 74908, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74909, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74910, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74911, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74912, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74913, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74914, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74915, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74916, [ ~( 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74917, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74918, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74919, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74920, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74921, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74922, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74923, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74924, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74925, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74926, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74927, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74928, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74929, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74930, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74931, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74932, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 8.55/8.92    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74933, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 8.55/8.92  , clause( 74934, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74935, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74936, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74937, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74938, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74939, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74940, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74941, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74942, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74943, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74944, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74945, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74946, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74947, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74948, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74949, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74950, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74951, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74952, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74953, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74954, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74955, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74956, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74957, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74958, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 8.55/8.92  , clause( 74959, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 8.55/8.92  , clause( 74960, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74961, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74962, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74963, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74964, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74965, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74966, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74967, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74968, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74969, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74970, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74971, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74972, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74973, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 8.55/8.92     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74974, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 74975, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74976, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 74977, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74978, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74979, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 74980, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 74981, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 8.55/8.92  , clause( 74982, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74983, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 74984, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 74985, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 8.55/8.92  , clause( 74986, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 74987, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 8.55/8.92  , clause( 74988, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74989, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 8.55/8.92  , clause( 74990, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 74991, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74992, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 74993, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74994, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74995, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 74996, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 74997, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 74998, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 74999, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.92  , clause( 75000, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_Orderings_Oord'( X ) ] )
% 8.55/8.92  , clause( 75001, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 75002, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 75003, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 75004, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75005, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75006, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 75007, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 75008, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75009, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 75010, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75011, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75012, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75013, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 75014, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 75015, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75016, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 75017, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 75018, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 75019, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 75020, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 75021, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 75022, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 75023, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oring'( X ) ] )
% 8.55/8.92  , clause( 75024, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 8.55/8.92  , clause( 75025, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 75026, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75027, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75028, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 75029, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 75030, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 75031, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 75032, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 75033, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 75034, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 8.55/8.92  , clause( 75035, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Ominus'( X ) ] )
% 8.55/8.92  , clause( 75036, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 75037, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75038, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75039, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 75040, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 75041, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 75042, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 75043, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75044, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75045, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 75046, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 75047, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 75048, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 75049, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75050, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75051, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 75052, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 75053, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 75054, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 75055, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 75056, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 75057, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 75058, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75059, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 75060, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 75061, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 75062, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75063, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75064, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 75065, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 75066, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75067, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 75068, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 75069, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Oplus'( X ) ] )
% 8.55/8.92  , clause( 75070, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.92  , clause( 75071, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 75072, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 75073, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 75074, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 75075, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 75076, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 75077, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75078, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 8.55/8.92    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75079, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 8.55/8.92  , clause( 75080, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 8.55/8.92  , clause( 75081, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_HOL_Oone'( X ) ] )
% 8.55/8.92  , clause( 75082, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 8.55/8.92  , clause( 75083, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_HOL_Otimes'( X ) ] )
% 8.55/8.92  , clause( 75084, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75085, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75086, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 8.55/8.92  , clause( 75087, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 8.55/8.92  , clause( 75088, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 8.55/8.92  , clause( 75089, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 8.55/8.92  , clause( 75090, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_HOL_Ozero'( X ) ] )
% 8.55/8.92  , clause( 75091, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.92    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 8.55/8.92  , clause( 75092, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.93    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 8.55/8.93  , clause( 75093, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.93    , 'class_HOL_Oplus'( X ) ] )
% 8.55/8.93  , clause( 75094, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 8.55/8.93    , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 8.55/8.93  , clause( 75095, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 8.55/8.93    'class_Orderings_Oord'( X ) ] )
% 8.55/8.93  , clause( 75096, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 8.55/8.93    'class_Orderings_Oorder'( X ) ] )
% 8.55/8.93  , clause( 75097, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 8.55/8.93    'class_LOrder_Omeet__semilorder'( X ) ] )
% 8.55/8.93  , clause( 75098, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 8.55/8.93    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 8.55/8.93  , clause( 75099, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 8.55/8.93    'class_LOrder_Olorder'( X ) ] )
% 8.55/8.93  , clause( 75100, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 8.55/8.93    'class_Orderings_Olinorder'( X ) ] )
% 8.55/8.93  , clause( 75101, [ 'c_in'( 'v_x'( X ), X, 'tc_IntDef_Oint' ) ] )
% 8.55/8.93  , clause( 75102, [ ~( 'c_lessequals'( 'v_x'( X ), 'c_0', 'tc_IntDef_Oint' )
% 8.55/8.93     ) ] )
% 8.55/8.93  ] ).
% 8.55/8.93  
% 8.55/8.93  
% 8.55/8.93  
% 8.55/8.93  subsumption(
% 8.55/8.93  clause( 149, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 8.55/8.93  , clause( 73917, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 8.55/8.93  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.55/8.93     )] ) ).
% 8.55/8.93  
% 8.55/8.93  
% 8.55/8.93  subsumption(
% 8.55/8.93  clause( 1327, [ 'c_in'( 'v_x'( X ), X, 'tc_IntDef_Oint' ) ] )
% 8.55/8.93  , clause( 75101, [ 'c_in'( 'v_x'( X ), X, 'tc_IntDef_Oint' ) ] )
% 8.55/8.93  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.55/8.93  
% 8.55/8.93  
% 8.55/8.93  resolution(
% 8.55/8.93  clause( 75460, [] )
% 8.55/8.93  , clause( 149, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 8.55/8.93  , 0, clause( 1327, [ 'c_in'( 'v_x'( X ), X, 'tc_IntDef_Oint' ) ] )
% 8.55/8.93  , 0, substitution( 0, [ :=( X, 'v_x'( 'c_emptyset' ) ), :=( Y, 
% 8.55/8.93    'tc_IntDef_Oint' )] ), substitution( 1, [ :=( X, 'c_emptyset' )] )).
% 8.55/8.93  
% 8.55/8.93  
% 8.55/8.93  subsumption(
% 8.55/8.93  clause( 73742, [] )
% 8.55/8.93  , clause( 75460, [] )
% 8.55/8.93  , substitution( 0, [] ), permutation( 0, [] ) ).
% 8.55/8.93  
% 8.55/8.93  
% 8.55/8.93  end.
% 8.55/8.93  
% 8.55/8.93  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 8.55/8.93  
% 8.55/8.93  Memory use:
% 8.55/8.93  
% 8.55/8.93  space for terms:        2168203
% 8.55/8.93  space for clauses:      4142448
% 8.55/8.93  
% 8.55/8.93  
% 8.55/8.93  clauses generated:      194909
% 8.55/8.93  clauses kept:           73743
% 8.55/8.93  clauses selected:       1328
% 8.55/8.93  clauses deleted:        305
% 8.55/8.93  clauses inuse deleted:  2
% 8.55/8.93  
% 8.55/8.93  subsentry:          515344
% 8.55/8.93  literals s-matched: 337840
% 8.55/8.93  literals matched:   304631
% 8.55/8.93  full subsumption:   166053
% 8.55/8.93  
% 8.55/8.93  checksum:           997659936
% 8.55/8.93  
% 8.55/8.93  
% 8.55/8.93  Bliksem ended
%------------------------------------------------------------------------------