TSTP Solution File: LCL432-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL432-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n011.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 : Sun Jul 17 07:53:37 EDT 2022

% Result   : Unsatisfiable 12.94s 13.37s
% Output   : Refutation 12.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL432-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Sun Jul  3 16:44:20 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.86/1.28  *** allocated 10000 integers for termspace/termends
% 0.86/1.28  *** allocated 10000 integers for clauses
% 0.86/1.28  *** allocated 10000 integers for justifications
% 0.86/1.28  *** allocated 15000 integers for termspace/termends
% 0.86/1.28  Bliksem 1.12
% 0.86/1.28  
% 0.86/1.28  
% 0.86/1.28  Automatic Strategy Selection
% 0.86/1.28  
% 0.86/1.28  Clauses:
% 0.86/1.28  [
% 0.86/1.28     [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Ovar'( X, Y ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Ofalse' ) ) ],
% 0.86/1.28     [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ) )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 'c_PropLog_Opl_Ofalse' )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Oop_A_N_62'( Z, T, 
% 0.86/1.28    Y ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 'c_PropLog_Opl_Ovar'( T, 
% 0.86/1.28    Z ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Ovar'( Z, Y ) ) ), 
% 0.86/1.28    =( X, Z ) ],
% 0.86/1.28     [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 0.86/1.28    'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( X, T ) ],
% 0.86/1.28     [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 0.86/1.28    'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( Y, U ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X, 
% 0.86/1.28    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 0.86/1.28    'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 0.86/1.28     [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 0.86/1.28    , Y ) ],
% 0.86/1.28     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 0.86/1.28    'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.86/1.28     [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'( 
% 0.86/1.28    'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'( 
% 0.86/1.28    Z, Y ) ) ), =( X, Z ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.86/1.28    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.86/1.28    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.86/1.28    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.86/1.28    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 0.86/1.28    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 0.86/1.28     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.86/1.28     [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =( 
% 0.86/1.28    X, 'c_emptyset' ) ],
% 0.86/1.28     [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =( 
% 0.86/1.28    X, 'c_emptyset' ) ],
% 0.86/1.28     [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z, 
% 0.86/1.28    'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 0.86/1.28    , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ), 
% 0.86/1.28    'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 
% 0.86/1.28    'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.86/1.28    'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.86/1.28     ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.86/1.28     ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'( 
% 0.86/1.28    Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X, 
% 0.86/1.28    Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.86/1.28    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 0.86/1.28    , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 0.86/1.28     ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.86/1.28    , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 0.86/1.28     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 0.86/1.28    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat', 
% 0.86/1.28    'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'( 
% 0.86/1.28    X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 0.86/1.28    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 0.86/1.28     [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 0.86/1.28    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 0.86/1.28    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 0.86/1.28     ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 0.86/1.28    'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 0.86/1.28    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 0.86/1.28    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 0.86/1.28    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil', 
% 0.86/1.28    'c_List_Olist_ONil', X ) ) ],
% 0.86/1.28     [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 0.86/1.28    'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'( 
% 0.86/1.28    Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.86/1.28    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 0.86/1.28    Z ) ) ), =( X, T ) ],
% 0.86/1.28     [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.86/1.28    , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ), 
% 0.86/1.28    Z ) ) ), =( Y, U ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.86/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 0.86/1.28    'tc_List_Olist'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.86/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 0.86/1.28    'tc_List_Olist'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 0.86/1.28    'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 
% 0.86/1.28    'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ), 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 0.86/1.28     [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 0.86/1.28     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 0.86/1.28    =( X, Z ) ],
% 0.86/1.28     [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ), 
% 0.86/1.28    =( Y, T ) ],
% 0.86/1.28     [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 0.86/1.28    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 0.86/1.28     [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 0.86/1.28    , =( X, 'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.86/1.28    , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X, 
% 0.86/1.28    Y ), X ) ],
% 0.86/1.28     [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 0.86/1.28    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 0.86/1.28    'tc_List_Olist'( Y ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 0.86/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.28     ) ), =( X, T ) ],
% 0.86/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.28     ) ), =( Y, U ) ],
% 0.86/1.28     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.86/1.28    , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 0.86/1.28    'c_List_Olist_ONil', Y ), Y ) ) ],
% 0.86/1.28     [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 0.86/1.28    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 0.86/1.28    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.86/1.28     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 0.86/1.28     [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 0.86/1.28     [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 0.86/1.28     [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 0.86/1.28     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.86/1.28     [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 0.86/1.28    'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ), 
% 0.86/1.28    'c_Suc'( Y ), 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 0.86/1.28    , 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 0.86/1.28    , 'tc_nat' ) ],
% 0.86/1.28     [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 0.86/1.28     [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 0.86/1.28     [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 
% 0.86/1.28    'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y, 
% 0.86/1.28    'tc_nat' ), 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X, 
% 0.86/1.28    'tc_nat' ), 'tc_nat' ) ],
% 0.86/1.28     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 0.86/1.28     [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.86/1.28     [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 0.86/1.28     [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.28     [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.28     [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.28     [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 0.86/1.28     [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 0.86/1.28     [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 0.86/1.28     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.28     [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.86/1.28     [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 0.86/1.28     [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 0.86/1.28     [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.86/1.28     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 0.86/1.28    , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.86/1.28    , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.86/1.28    'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 0.86/1.28     ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 0.86/1.28    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 0.86/1.28    Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.86/1.28     ) ), =( X, Y ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'( 
% 0.86/1.28    Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.86/1.28    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.86/1.28    'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 0.86/1.28    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 0.86/1.28    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.86/1.28    'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 0.86/1.28    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'( 
% 0.86/1.28    Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.86/1.28    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.86/1.28    'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 0.86/1.28    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 0.86/1.28    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 
% 0.86/1.28    'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( 
% 0.86/1.28    Z, X ), 'tc_set'( X ) ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.86/1.28    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.86/1.28     ) ) ), =( Y, Z ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.86/1.28    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 0.86/1.28    , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 0.86/1.28    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.86/1.28     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.28    , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 0.86/1.28    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'( 
% 0.86/1.28    Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 0.86/1.28    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 0.86/1.28    , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 0.86/1.28    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 0.86/1.28    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.28    , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 0.86/1.28    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 
% 0.86/1.28    Z ) ) ],
% 0.86/1.28     [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 0.86/1.28     ), =( X, Z ) ],
% 0.86/1.28     [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 0.86/1.28    'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'( 
% 0.86/1.28    Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 0.86/1.28    , Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.86/1.28    , 'tc_set'( Z ) ), Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'( 
% 0.86/1.28    T, Y, Z ), Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 0.86/1.28     ) ), 'c_in'( T, X, Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 0.86/1.28    , 'tc_set'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 0.86/1.28    , 'tc_set'( Z ) ) ],
% 0.86/1.28     [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 0.86/1.28    X, Y, T ) ],
% 0.86/1.28     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 0.86/1.28    , 'c_Union'( T, Z ), Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.86/1.28     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 0.86/1.28     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =( 
% 0.86/1.28    X, T ) ],
% 0.86/1.28     [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), 
% 0.86/1.28    'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.86/1.28     ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 0.86/1.28     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =( 
% 0.86/1.28    Z, X ) ],
% 0.86/1.28     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), 
% 0.86/1.28    'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.86/1.28     ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 0.86/1.28     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 0.86/1.28    , =( X, T ) ],
% 0.86/1.28     [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 0.86/1.28    , =( X, T ) ],
% 0.86/1.28     [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, 
% 0.86/1.28    Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 0.86/1.28    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.86/1.28    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'( 
% 0.86/1.28    T, Z ) ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.86/1.28    , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.86/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 0.86/1.28    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 0.86/1.28    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 0.86/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.86/1.28    , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.86/1.28    , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.86/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.86/1.28    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 0.86/1.28    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 0.86/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 0.86/1.28    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.86/1.28     ), 'c_less'( X, Y, 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 
% 0.86/1.28    'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 
% 0.86/1.28    'tc_nat' ) ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.28     [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 0.86/1.28    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 0.86/1.28    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 0.86/1.28    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 0.86/1.28    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 0.86/1.28    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.86/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'( 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.86/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.86/1.28    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.86/1.28    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.86/1.28    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 0.86/1.28    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 0.86/1.28    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.86/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 0.86/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 0.86/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.86/1.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 0.86/1.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.86/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 0.86/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 0.86/1.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 0.86/1.28    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'( 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 0.86/1.28    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.86/1.28    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.86/1.28    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.86/1.28    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 0.86/1.28    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.86/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.86/1.28    , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 
% 0.86/1.28    'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.86/1.28    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 0.86/1.28    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.86/1.28     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 0.86/1.28    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 0.86/1.28    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'( 
% 0.86/1.28    Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'( 
% 0.86/1.28    Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.28    , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.28    , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 0.86/1.28    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 0.86/1.28    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 0.86/1.28    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.86/1.28     ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'( 
% 0.86/1.28    Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 0.86/1.28    X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 0.86/1.28    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( 
% 0.86/1.28    X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'( 
% 0.86/1.28    Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), 
% 0.86/1.28    'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.28    , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 0.86/1.28    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.28    , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 0.86/1.28    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 0.86/1.28    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 
% 0.86/1.28    'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.86/1.28    'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.86/1.28    'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 0.86/1.28    'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.86/1.28    , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'( 
% 0.86/1.28    'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.86/1.28    , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 0.86/1.28    , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 0.86/1.28    , 'tc_set'( Y ) ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.86/1.28     ) ), X, 'tc_nat' ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.86/1.28     ) ), Y, 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ), 
% 0.86/1.28    ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 0.86/1.28     [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ), 
% 0.86/1.28    'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 0.86/1.28    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ), 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ), 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 0.86/1.28    , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 0.86/1.28     ) ) ],
% 0.86/1.28     [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.86/1.28     [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~( 
% 0.86/1.28    'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 0.86/1.28     [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'( 
% 0.86/1.28    'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y, 
% 0.86/1.28    'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.86/1.28     [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 0.86/1.28    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.86/1.28    'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.86/1.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.86/1.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 0.86/1.28    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 0.86/1.28    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.86/1.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.86/1.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 0.86/1.28    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 0.86/1.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.86/1.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T, 
% 0.86/1.28    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 0.86/1.28    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 0.86/1.28    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 0.86/1.28    'tc_prod'( Z, Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.86/1.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.86/1.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 0.86/1.28    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 0.86/1.28    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.86/1.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.86/1.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 0.86/1.28    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 0.86/1.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.86/1.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.86/1.28    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 0.86/1.28    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 0.86/1.28    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 0.86/1.28    'tc_prod'( T, T ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ), 
% 0.86/1.28    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 0.86/1.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ), 
% 0.86/1.28    'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'( 
% 0.86/1.28    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 0.86/1.28    'c_List_Olist_ONil' ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.86/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 0.86/1.28    'tc_List_Olist'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ), 
% 0.86/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 
% 0.86/1.28    'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ), 
% 0.86/1.28    'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'( 
% 0.86/1.28    Y ) ) ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.86/1.28    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 0.86/1.28    Y ) ) ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 0.86/1.28    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.86/1.28     ) ) ],
% 0.86/1.28     [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 0.86/1.28     [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 0.86/1.28     [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 0.86/1.28    , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'( 
% 0.86/1.28    'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 0.86/1.28    'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'( 
% 0.86/1.28    'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'( 
% 0.86/1.28    T, U ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W, 
% 0.86/1.28    'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'( 
% 0.86/1.28    'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.86/1.28    , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.86/1.28    , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ), 
% 0.86/1.28    'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.86/1.28    , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ), 
% 0.86/1.28    'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 0.86/1.28    , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 0.86/1.28    , Z, Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), 
% 0.86/1.28    'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 0.86/1.28    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.86/1.28    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), 
% 0.86/1.28    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.86/1.28    U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 0.86/1.28    'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W, 
% 0.86/1.28    U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ), 
% 0.86/1.28    'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 0.86/1.28    'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 0.86/1.28    , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0, 
% 0.86/1.28    T ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 0.86/1.28    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 0.86/1.28    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.28     [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y, 
% 0.86/1.28    Z ), Y, 'tc_set'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X, 
% 0.86/1.28    'c_Inter'( Y, Z ), Z ) ],
% 0.86/1.28     [ 'c_in'( X, 'c_UNIV', Y ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.86/1.28    , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'( 
% 0.86/1.28    X, Y, Z ), Z ) ],
% 0.86/1.28     [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 0.86/1.28     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 0.86/1.28    'tc_set'( Z ) ) ) ],
% 0.86/1.28     [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'( 
% 0.86/1.28    Z ) ) ],
% 0.86/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'( 
% 0.86/1.28    Z ) ), =( X, Y ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 0.86/1.28     [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 0.86/1.28     ) ) ), =( X, Z ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 0.86/1.28    'c_in'( X, T, Z ) ],
% 0.86/1.28     [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.86/1.28    , 'tc_set'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'( 
% 0.86/1.28    X, Y, 'tc_set'( Z ) ) ],
% 0.86/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 0.86/1.28    'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.86/1.28     [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ), 
% 0.86/1.28    'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ), 
% 0.86/1.28    'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.28    , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ), 
% 0.86/1.28    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.28    , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X, 
% 0.86/1.28    'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.28    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X, 
% 0.86/1.28    'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 0.86/1.28     [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.28    , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'( 
% 0.86/1.28    'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 0.86/1.28     [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 0.86/1.28    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.86/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.86/1.28     ), 'tc_prod'( Y, Y ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 0.86/1.28    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.86/1.28    'tc_prod'( Z, Z ) ) ],
% 0.86/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.86/1.28    , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.86/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.86/1.28     [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 0.86/1.28     [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ), 
% 0.86/1.28    'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 0.86/1.28    , 'tc_prod'( T, Y ) ) ],
% 0.86/1.28     [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 0.86/1.28    , 'tc_nat' ) ],
% 0.86/1.28     [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 0.86/1.28    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 0.86/1.28    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 0.86/1.28     ],
% 0.86/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~( 
% 0.86/1.28    'class_Finite__Set_Ofinite'( X ) ) ],
% 0.86/1.28     [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 0.86/1.28     ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 0.86/1.28     ) ],
% 0.86/1.28     [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 0.86/1.28     ],
% 0.86/1.28     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 0.86/1.28     ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 0.86/1.28     ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 0.86/1.28     ],
% 0.86/1.28     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 0.86/1.28    'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 0.86/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 0.86/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.86/1.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.86/1.28     ],
% 0.86/1.28     [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 0.86/1.28     [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.28     ],
% 0.86/1.28     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.86/1.28     ) ],
% 0.86/1.28     [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.28     ],
% 0.86/1.28     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 0.86/1.28     ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.86/1.28     ],
% 0.86/1.28     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.86/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 0.86/1.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.86/1.28     ],
% 0.86/1.28     [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 0.86/1.28     [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 0.86/1.28     [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 0.86/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 0.86/1.28    'class_Finite__Set_Ofinite'( X ) ) ],
% 0.86/1.28     [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 0.86/1.28     [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 0.86/1.28    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 0.86/1.28    'class_HOL_Otimes'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_LOrder_Olorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_HOL_Ominus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_LOrder_Olorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_HOL_Ominus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_LOrder_Olorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_HOL_Ominus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_LOrder_Olorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_HOL_Ominus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_LOrder_Olorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_Orderings_Olinorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_HOL_Ominus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28    , 'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28    , 'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28    , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28    , 'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Power_Orecpower'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 0.86/1.28    'class_HOL_Oone'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.86/1.28    'class_HOL_Ominus'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ), 
% 0.86/1.28    'class_HOL_Otimes'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 0.86/1.28     ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_HOL_Otimes'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_HOL_Otimes'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_HOL_Oone'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.86/1.28    'class_HOL_Otimes'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_HOL_Oone'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_HOL_Otimes'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.86/1.28    'class_HOL_Oinverse'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oidom'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.28    ,
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'( 
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% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'( 
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% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_LOrder_Olorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_HOL_Oplus'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_HOL_Ozero'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Orderings_Olinorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_LOrder_Olorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_HOL_Otimes'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ofield'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_HOL_Oinverse'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oidom'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Orderings_Olinorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_LOrder_Olorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Orderings_Oorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Orderings_Oord'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'( 
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% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__ring'( X ) ],
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% 0.86/1.28    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 0.86/1.28     ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'( 
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% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'( 
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% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'( 
% 0.86/1.28    X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Orderings_Olinorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_LOrder_Olorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.86/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.28    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Orderings_Oorder'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Orderings_Oord'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'( 
% 0.86/1.29    X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oidom'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
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% 0.86/1.29    'class_Orderings_Oord'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_HOL_Otimes'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_HOL_Ozero'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_HOL_Otimes'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_HOL_Ozero'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_HOL_Oplus'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Orderings_Oorder'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Orderings_Oord'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_HOL_Ominus'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_HOL_Oplus'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_HOL_Ozero'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_Orderings_Oorder'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_Orderings_Oord'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_HOL_Otimes'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'( 
% 0.86/1.29    X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'( 
% 0.86/1.29    X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_Orderings_Oorder'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_Orderings_Oord'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'( 
% 0.86/1.29    X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'( 
% 0.86/1.29    X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_Orderings_Oorder'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_Orderings_Oord'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_HOL_Otimes'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_HOL_Oplus'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_HOL_Ozero'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 0.86/1.29     ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 0.86/1.29     ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.29     ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 0.86/1.29     ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_HOL_Otimes'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_HOL_Oplus'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_HOL_Ozero'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 0.86/1.29     ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 0.86/1.29     ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 0.86/1.29     ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.29     ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_HOL_Oone'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_HOL_Otimes'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_HOL_Ozero'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_HOL_Oplus'( X ) ],
% 0.86/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ), 
% 0.86/1.29    'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.86/1.29    'class_Orderings_Oord'( X ) ],
% 0.86/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.86/1.29    'class_Orderings_Oorder'( X ) ],
% 0.86/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.86/1.29    'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.86/1.29    'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.86/1.29    'class_LOrder_Olorder'( X ) ],
% 0.86/1.29     [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 0.86/1.29    'class_Orderings_Olinorder'( X ) ],
% 0.86/1.29     [ ~( 'c_PropLog_Osat'( 'c_emptyset', X, Y ) ), 'c_in'( X, 
% 0.86/1.29    'c_PropLog_Othms'( 'c_emptyset', Y ), 'tc_PropLog_Opl'( Y ) ) ],
% 0.86/1.29     [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T
% 0.86/1.29     ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.86/1.29    Y, X, T ), 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ) ],
% 0.86/1.29     [ ~( 'c_PropLog_Osat'( 'c_insert'( X, Y, 'tc_PropLog_Opl'( Z ) ), T, Z )
% 0.86/1.29     ), 'c_PropLog_Osat'( Y, 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), Z ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 
% 0.86/1.29    ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 'c_PropLog_Othms'( Y, Z
% 0.86/1.29     ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 
% 0.86/1.29    'tc_PropLog_Opl'( Z ) ) ],
% 0.86/1.29     [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 
% 0.86/1.29    ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), Y, 'tc_PropLog_Opl'( Z
% 0.86/1.29     ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ]
% 0.86/1.29    ,
% 0.86/1.29     [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 
% 0.86/1.29    'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 'tc_PropLog_Opl'( Z ) ), 
% 0.86/1.29    Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.86/1.29     [ 'c_PropLog_Osat'( 'c_emptyset', 'v_x', 't_a' ) ],
% 0.86/1.29     [ ~( 'c_in'( 'v_x', 'c_PropLog_Othms'( 'c_emptyset', 't_a' ), 
% 0.86/1.29    'tc_PropLog_Opl'( 't_a' ) ) ) ]
% 0.86/1.29  ] .
% 0.86/1.29  
% 0.86/1.29  
% 0.86/1.29  percentage equality = 0.078469, percentage horn = 0.979607
% 0.86/1.29  This is a problem with some equality
% 0.86/1.29  
% 0.86/1.29  
% 0.86/1.29  
% 0.86/1.29  Options Used:
% 0.86/1.29  
% 0.86/1.29  useres =            1
% 0.86/1.29  useparamod =        1
% 0.86/1.29  useeqrefl =         1
% 0.86/1.29  useeqfact =         1
% 0.86/1.29  usefactor =         1
% 0.86/1.29  usesimpsplitting =  0
% 0.86/1.29  usesimpdemod =      5
% 0.86/1.29  usesimpres =        3
% 0.86/1.29  
% 0.86/1.29  resimpinuse      =  1000
% 0.86/1.29  resimpclauses =     20000
% 0.86/1.29  substype =          eqrewr
% 0.86/1.29  backwardsubs =      1
% 0.86/1.29  selectoldest =      5
% 0.86/1.29  
% 0.86/1.29  litorderings [0] =  split
% 0.86/1.29  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.86/1.29  
% 0.86/1.29  termordering =      kbo
% 0.86/1.29  
% 0.86/1.29  litapriori =        0
% 0.86/1.29  termapriori =       1
% 0.86/1.29  litaposteriori =    0
% 0.86/1.29  termaposteriori =   0
% 0.86/1.29  demodaposteriori =  0
% 0.86/1.29  ordereqreflfact =   0
% 0.86/1.29  
% 0.86/1.29  litselect =         negord
% 0.86/1.29  
% 0.86/1.29  maxweight =         15
% 0.86/1.29  maxdepth =          30000
% 0.86/1.29  maxlength =         115
% 0.86/1.29  maxnrvars =         195
% 0.86/1.29  excuselevel =       1
% 0.86/1.29  increasemaxweight = 1
% 0.86/1.29  
% 0.86/1.29  maxselected =       10000000
% 0.86/1.29  maxnrclauses =      10000000
% 0.86/1.29  
% 0.86/1.29  showgenerated =    0
% 0.86/1.29  showkept =         0
% 0.86/1.29  showselected =     0
% 0.86/1.29  showdeleted =      0
% 0.86/1.29  showresimp =       1
% 0.86/1.29  showstatus =       2000
% 0.86/1.29  
% 0.86/1.29  prologoutput =     1
% 0.86/1.29  nrgoals =          5000000
% 0.86/1.29  totalproof =       1
% 0.86/1.29  
% 0.86/1.29  Symbols occurring in the translation:
% 0.86/1.29  
% 0.86/1.29  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.86/1.29  .  [1, 2]      (w:1, o:173, a:1, s:1, b:0), 
% 0.86/1.29  !  [4, 1]      (w:0, o:89, a:1, s:1, b:0), 
% 0.86/1.29  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.86/1.29  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.86/1.29  'c_PropLog_Opl_Ofalse'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.86/1.29  'c_PropLog_Opl_Ovar'  [42, 2]      (w:1, o:198, a:1, s:1, b:0), 
% 0.86/1.29  'c_PropLog_Opl_Oop_A_N_62'  [45, 3]      (w:1, o:237, a:1, s:1, b:0), 
% 0.86/1.29  'tc_PropLog_Opl'  [51, 1]      (w:1, o:94, a:1, s:1, b:0), 
% 0.86/1.29  'c_in'  [52, 3]      (w:1, o:238, a:1, s:1, b:0), 
% 0.86/1.29  'c_PropLog_Othms'  [53, 2]      (w:1, o:199, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype_Oo2s'  [56, 2]      (w:1, o:200, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype_Ooption_OSome'  [57, 2]      (w:1, o:201, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype_Ooption_ONone'  [58, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Onot__None__eq__iff1__1'  [59, 2]      (w:1, o:212, a:1, s:1, b:0)
% 0.86/1.29    , 
% 0.86/1.29  'c_Main_Onot__Some__eq__iff1__1'  [60, 2]      (w:1, o:213, a:1, s:1, b:0)
% 0.86/1.29    , 
% 0.86/1.29  'c_Datatype__Universe_OAtom'  [62, 3]      (w:1, o:239, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype__Universe_OScons'  [66, 4]      (w:1, o:272, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype__Universe_OIn0'  [67, 3]      (w:1, o:240, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype__Universe_OIn1'  [68, 3]      (w:1, o:241, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype__Universe_OLeaf'  [69, 3]      (w:1, o:242, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype__Universe_ONumb'  [71, 3]      (w:1, o:243, a:1, s:1, b:0), 
% 0.86/1.29  'c_0'  [74, 0]      (w:1, o:32, a:1, s:1, b:0), 
% 0.86/1.29  'tc_nat'  [76, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 0.86/1.29  'c_Divides_Oop_Advd'  [77, 3]      (w:1, o:244, a:1, s:1, b:0), 
% 0.86/1.29  'c_emptyset'  [78, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 0.86/1.29  'c_Equiv__Relations_Oquotient'  [81, 3]      (w:1, o:246, a:1, s:1, b:0), 
% 0.86/1.29  'c_Extraction_Osumbool_OLeft'  [82, 0]      (w:1, o:42, a:1, s:1, b:0), 
% 0.86/1.29  'c_Extraction_Osumbool_ORight'  [83, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 0.86/1.29  'c_insert'  [85, 3]      (w:1, o:247, a:1, s:1, b:0), 
% 0.86/1.29  'tc_set'  [86, 1]      (w:1, o:95, a:1, s:1, b:0), 
% 0.86/1.29  'c_minus'  [87, 3]      (w:1, o:250, a:1, s:1, b:0), 
% 0.86/1.29  'c_Finite__Set_OFinites'  [88, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 0.86/1.29  'c_Pow'  [89, 2]      (w:1, o:214, a:1, s:1, b:0), 
% 0.86/1.29  'c_union'  [92, 3]      (w:1, o:252, a:1, s:1, b:0), 
% 0.86/1.29  'c_Relation_Oconverse'  [93, 3]      (w:1, o:253, a:1, s:1, b:0), 
% 0.86/1.29  'tc_prod'  [94, 2]      (w:1, o:215, a:1, s:1, b:0), 
% 0.86/1.29  'c_Pair'  [96, 4]      (w:1, o:273, a:1, s:1, b:0), 
% 0.86/1.29  'c_GCD_Ogcd'  [97, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 0.86/1.29  'c_UNIV'  [98, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 0.86/1.29  'c_IntDef_Oint'  [99, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 0.86/1.29  'tc_IntDef_Oint'  [102, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 0.86/1.29  'c_uminus'  [103, 2]      (w:1, o:216, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Olist_ONil'  [105, 0]      (w:1, o:56, a:1, s:1, b:0), 
% 0.86/1.29  'tc_List_Olist'  [106, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Olex'  [107, 2]      (w:1, o:202, a:1, s:1, b:0), 
% 0.86/1.29  'c_append'  [109, 3]      (w:1, o:254, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Orev'  [110, 2]      (w:1, o:203, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Olist_OCons'  [111, 3]      (w:1, o:255, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Olists'  [113, 2]      (w:1, o:205, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Ochar_OChar'  [117, 2]      (w:1, o:206, a:1, s:1, b:0), 
% 0.86/1.29  'c_Nat_Osize'  [120, 2]      (w:1, o:220, a:1, s:1, b:0), 
% 0.86/1.29  'c_less'  [121, 3]      (w:1, o:248, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Oremdups'  [122, 2]      (w:1, o:207, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Oset'  [125, 2]      (w:1, o:208, a:1, s:1, b:0), 
% 0.86/1.29  'c_Suc'  [126, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 0.86/1.29  'c_lessequals'  [127, 3]      (w:1, o:249, a:1, s:1, b:0), 
% 0.86/1.29  'c_plus'  [128, 3]      (w:1, o:256, a:1, s:1, b:0), 
% 0.86/1.29  'c_1'  [130, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 0.86/1.29  'c_Numeral_Obit_OB0'  [132, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 0.86/1.29  'c_Numeral_Obit_OB1'  [133, 0]      (w:1, o:65, a:1, s:1, b:0), 
% 0.86/1.29  'class_Orderings_Oorder'  [134, 1]      (w:1, o:103, a:1, s:1, b:0), 
% 0.86/1.29  'c_Relation_OId'  [136, 0]      (w:1, o:67, a:1, s:1, b:0), 
% 0.86/1.29  'c_Relation_OImage'  [137, 4]      (w:1, o:274, a:1, s:1, b:0), 
% 0.86/1.29  'class_Orderings_Olinorder'  [138, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 0.86/1.29  'c_SetInterval_OatLeast'  [139, 2]      (w:1, o:223, a:1, s:1, b:0), 
% 0.86/1.29  'class_Orderings_Oord'  [140, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 0.86/1.29  'c_SetInterval_OatMost'  [141, 2]      (w:1, o:224, a:1, s:1, b:0), 
% 0.86/1.29  'c_SetInterval_OgreaterThan'  [142, 2]      (w:1, o:225, a:1, s:1, b:0), 
% 0.86/1.29  'c_SetInterval_OlessThan'  [143, 2]      (w:1, o:226, a:1, s:1, b:0), 
% 0.86/1.29  'c_inter'  [145, 3]      (w:1, o:257, a:1, s:1, b:0), 
% 0.86/1.29  'c_Inter'  [148, 2]      (w:1, o:227, a:1, s:1, b:0), 
% 0.86/1.29  'c_Union'  [149, 2]      (w:1, o:230, a:1, s:1, b:0), 
% 0.86/1.29  'c_Sum__Type_OInl'  [150, 3]      (w:1, o:260, a:1, s:1, b:0), 
% 0.86/1.29  'c_Sum__Type_OInr'  [151, 3]      (w:1, o:261, a:1, s:1, b:0), 
% 0.86/1.29  'c_Wellfounded__Recursion_Oacyclic'  [152, 2]      (w:1, o:231, a:1, s:1
% 0.86/1.29    , b:0), 
% 0.86/1.29  'c_Transitive__Closure_Ortrancl'  [153, 2]      (w:1, o:228, a:1, s:1, b:0)
% 0.86/1.29    , 
% 0.86/1.29  'c_Wellfounded__Recursion_Owf'  [154, 2]      (w:1, o:232, a:1, s:1, b:0), 
% 0.86/1.29    
% 0.86/1.29  'c_Wellfounded__Relations_Oless__than'  [155, 0]      (w:1, o:71, a:1, s:1
% 0.86/1.29    , b:0), 
% 0.86/1.29  'c_Datatype__Universe_Odprod'  [157, 4]      (w:1, o:275, a:1, s:1, b:0), 
% 0.86/1.29  'tc_Datatype__Universe_Onode'  [158, 2]      (w:1, o:233, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OdprodE__1'  [159, 5]      (w:1, o:293, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OdprodE__2'  [160, 5]      (w:1, o:294, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OdprodE__3'  [161, 5]      (w:1, o:295, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OdprodE__4'  [162, 5]      (w:1, o:296, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype__Universe_Odsum'  [163, 4]      (w:1, o:276, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OdsumE__1'  [164, 4]      (w:1, o:279, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OdsumE__2'  [165, 4]      (w:1, o:280, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OdsumE__3'  [166, 4]      (w:1, o:281, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OdsumE__4'  [167, 4]      (w:1, o:282, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype__Universe_Ouprod'  [168, 4]      (w:1, o:283, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OuprodE__1'  [169, 5]      (w:1, o:297, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OuprodE__2'  [170, 5]      (w:1, o:298, a:1, s:1, b:0), 
% 0.86/1.29  'c_Datatype__Universe_Ousum'  [172, 4]      (w:1, o:284, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OusumE__1'  [173, 4]      (w:1, o:285, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OusumE__2'  [174, 4]      (w:1, o:286, a:1, s:1, b:0), 
% 0.86/1.29  'c_times'  [175, 3]      (w:1, o:251, a:1, s:1, b:0), 
% 0.86/1.29  'c_Divides_Oop_Amod'  [177, 3]      (w:1, o:245, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Omod__eq__0D__dest__1'  [178, 2]      (w:1, o:211, a:1, s:1, b:0), 
% 0.86/1.29    
% 0.86/1.29  'c_Main_Ofinite__Union__1'  [179, 2]      (w:1, o:217, a:1, s:1, b:0), 
% 0.86/1.29  'c_Infinite__Set_Oatmost__one'  [181, 2]      (w:1, o:234, a:1, s:1, b:0), 
% 0.86/1.29    
% 0.86/1.29  'c_Main_Ozmod__eq__0D__dest__1'  [182, 2]      (w:1, o:218, a:1, s:1, b:0)
% 0.86/1.29    , 
% 0.86/1.29  'c_List_Odistinct'  [183, 2]      (w:1, o:209, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Oin__listsI__1'  [185, 3]      (w:1, o:262, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Olistrel'  [186, 2]      (w:1, o:204, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Olistrel__Cons1__1'  [187, 5]      (w:1, o:299, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Olistrel__Cons1__2'  [188, 5]      (w:1, o:300, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Olistrel__Cons2__1'  [189, 5]      (w:1, o:301, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Olistrel__Cons2__2'  [190, 5]      (w:1, o:302, a:1, s:1, b:0), 
% 0.86/1.29  'c_List_Olenlex'  [192, 2]      (w:1, o:210, a:1, s:1, b:0), 
% 0.86/1.29  'c_Relation_ODomain'  [193, 3]      (w:1, o:258, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_ODomainE__1'  [194, 4]      (w:1, o:287, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OIdE__1'  [195, 2]      (w:1, o:219, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OImageE__1'  [196, 5]      (w:1, o:303, a:1, s:1, b:0), 
% 0.86/1.29  'c_Relation_ORange'  [197, 3]      (w:1, o:259, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_ORangeE__1'  [198, 4]      (w:1, o:288, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OconverseE__1'  [200, 4]      (w:1, o:277, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OconverseE__2'  [201, 4]      (w:1, o:278, a:1, s:1, b:0), 
% 0.86/1.29  'c_Relation_Odiag'  [202, 2]      (w:1, o:221, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OdiagE__1'  [203, 3]      (w:1, o:263, a:1, s:1, b:0), 
% 0.86/1.29  'c_Relation_Orel__comp'  [206, 5]      (w:1, o:304, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Orel__compE__2'  [207, 6]      (w:1, o:306, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Orel__compE__3'  [208, 6]      (w:1, o:307, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_Orel__compE__1'  [209, 6]      (w:1, o:305, a:1, s:1, b:0), 
% 0.86/1.29  'c_SetInterval_OatLeastAtMost'  [210, 3]      (w:1, o:264, a:1, s:1, b:0), 
% 0.86/1.29    
% 0.86/1.29  'c_SetInterval_OatLeastLessThan'  [211, 3]      (w:1, o:265, a:1, s:1, b:0)
% 0.86/1.29    , 
% 0.86/1.29  'c_SetInterval_OgreaterThanAtMost'  [212, 3]      (w:1, o:266, a:1, s:1, b:
% 0.86/1.29    0), 
% 0.86/1.29  'c_SetInterval_OgreaterThanLessThan'  [213, 3]      (w:1, o:267, a:1, s:1
% 0.86/1.29    , b:0), 
% 0.86/1.29  'c_Main_OInterI__1'  [214, 3]      (w:1, o:268, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OUnionE__1'  [215, 3]      (w:1, o:269, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OsubsetI__1'  [216, 3]      (w:1, o:270, a:1, s:1, b:0), 
% 0.86/1.29  'c_Sum__Type_OPlus'  [217, 4]      (w:1, o:289, a:1, s:1, b:0), 
% 0.86/1.29  'tc_sum'  [218, 2]      (w:1, o:235, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OPlusE__1'  [219, 4]      (w:1, o:290, a:1, s:1, b:0), 
% 0.86/1.29  'c_Main_OPlusE__2'  [220, 4]      (w:1, o:291, a:1, s:1, b:0), 
% 0.86/1.29  'c_Transitive__Closure_Otrancl'  [221, 2]      (w:1, o:229, a:1, s:1, b:0)
% 1.68/2.06    , 
% 1.68/2.06  'c_Relation_Otrans'  [222, 2]      (w:1, o:222, a:1, s:1, b:0), 
% 1.68/2.06  'c_Wellfounded__Relations_Olex__prod'  [225, 4]      (w:1, o:292, a:1, s:1
% 1.68/2.06    , b:0), 
% 1.68/2.06  'tc_Datatype_Ooption'  [229, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 1.68/2.06  'class_Finite__Set_Ofinite'  [230, 1]      (w:1, o:107, a:1, s:1, b:0), 
% 1.68/2.06  'class_HOL_Ominus'  [231, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 1.68/2.06  'class_HOL_Oone'  [232, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Osemiring'  [233, 1]      (w:1, o:112, a:1, s:1, b:
% 1.68/2.06    0), 
% 1.68/2.06  'class_Ring__and__Field_Ocomm__semiring'  [234, 1]      (w:1, o:115, a:1
% 1.68/2.06    , s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Ocomm__monoid__add'  [235, 1]      (w:1, o:116, a:1, s:
% 1.68/2.06    1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Osemiring__0'  [236, 1]      (w:1, o:117, a:1, s:1
% 1.68/2.06    , b:0), 
% 1.68/2.06  'class_Ring__and__Field_Ocomm__semiring__0'  [237, 1]      (w:1, o:118, a:1
% 1.68/2.06    , s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Ocancel__semigroup__add'  [238, 1]      (w:1, o:119, a:
% 1.68/2.06    1, s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [239, 1]      (w:1, o:120
% 1.68/2.06    , a:1, s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Oab__group__add'  [240, 1]      (w:1, o:121, a:1, s:1
% 1.68/2.06    , b:0), 
% 1.68/2.06  'class_Ring__and__Field_Osemiring__0__cancel'  [241, 1]      (w:1, o:122
% 1.68/2.06    , a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Oring'  [242, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 1.68/2.06    
% 1.68/2.06  'class_HOL_Oplus'  [243, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Ocomm__semiring__0__cancel'  [244, 1]      (w:1, o:
% 1.68/2.06    124, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Ocomm__ring'  [245, 1]      (w:1, o:113, a:1, s:1
% 1.68/2.06    , b:0), 
% 1.68/2.06  'class_Ring__and__Field_Oaxclass__0__neq__1'  [246, 1]      (w:1, o:125, a:
% 1.68/2.06    1, s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Omonoid__mult'  [247, 1]      (w:1, o:130, a:1, s:1, b:
% 1.68/2.06    0), 
% 1.68/2.06  'class_OrderedGroup_Ocomm__monoid__mult'  [248, 1]      (w:1, o:131, a:1
% 1.68/2.06    , s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Osemiring__1'  [249, 1]      (w:1, o:132, a:1, s:1
% 1.68/2.06    , b:0), 
% 1.68/2.06  'class_Ring__and__Field_Ocomm__semiring__1'  [250, 1]      (w:1, o:133, a:1
% 1.68/2.06    , s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Osemiring__1__cancel'  [251, 1]      (w:1, o:134
% 1.68/2.06    , a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Oring__1'  [252, 1]      (w:1, o:111, a:1, s:1, b:0
% 1.68/2.06    ), 
% 1.68/2.06  'class_Ring__and__Field_Ocomm__semiring__1__cancel'  [253, 1]      (w:1, o:
% 1.68/2.06    135, a:1, s:1, b:0), 
% 1.68/2.06  'class_HOL_Otimes'  [254, 1]      (w:1, o:136, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Ocomm__ring__1'  [255, 1]      (w:1, o:114, a:1, s:
% 1.68/2.06    1, b:0), 
% 1.68/2.06  'class_LOrder_Omeet__semilorder'  [256, 1]      (w:1, o:138, a:1, s:1, b:0)
% 1.68/2.06    , 
% 1.68/2.06  'class_LOrder_Ojoin__semilorder'  [257, 1]      (w:1, o:139, a:1, s:1, b:0)
% 1.68/2.06    , 
% 1.68/2.06  'class_LOrder_Olorder'  [258, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Opordered__ab__semigroup__add'  [259, 1]      (w:1, o:
% 1.68/2.06    141, a:1, s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [260, 1]      
% 1.68/2.06    (w:1, o:142, a:1, s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [261, 1]      
% 1.68/2.06    (w:1, o:143, a:1, s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'  [262, 1]      
% 1.68/2.06    (w:1, o:140, a:1, s:1, b:0), 
% 1.68/2.06  'class_HOL_Ozero'  [263, 1]      (w:1, o:144, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Opordered__semiring'  [264, 1]      (w:1, o:152, a:
% 1.68/2.06    1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Opordered__cancel__semiring'  [265, 1]      (w:1
% 1.68/2.06    , o:153, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Oordered__semiring__strict'  [266, 1]      (w:1, o:
% 1.68/2.06    146, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Opordered__comm__semiring'  [267, 1]      (w:1, o:
% 1.68/2.06    155, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Opordered__cancel__comm__semiring'  [268, 1]      
% 1.68/2.06    (w:1, o:156, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [269, 1]      
% 1.68/2.06    (w:1, o:147, a:1, s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Oaxclass__abs__if'  [270, 1]      (w:1, o:157, a:1
% 1.68/2.06    , s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Opordered__ab__group__add'  [271, 1]      (w:1, o:158
% 1.68/2.06    , a:1, s:1, b:0), 
% 1.68/2.06  'class_OrderedGroup_Olordered__ab__group'  [272, 1]      (w:1, o:126, a:1
% 1.68/2.06    , s:1, b:0), 
% 1.68/2.06  'class_Ring__and__Field_Opordered__ring'  [273, 1]      (w:1, o:151, a:1
% 8.95/9.37    , s:1, b:0), 
% 8.95/9.37  'class_OrderedGroup_Olordered__ab__group__abs'  [274, 1]      (w:1, o:127
% 8.95/9.37    , a:1, s:1, b:0), 
% 8.95/9.37  'class_OrderedGroup_Olordered__ab__group__meet'  [275, 1]      (w:1, o:128
% 8.95/9.37    , a:1, s:1, b:0), 
% 8.95/9.37  'class_OrderedGroup_Olordered__ab__group__join'  [276, 1]      (w:1, o:129
% 8.95/9.37    , a:1, s:1, b:0), 
% 8.95/9.37  'class_Ring__and__Field_Olordered__ring'  [277, 1]      (w:1, o:159, a:1
% 8.95/9.37    , s:1, b:0), 
% 8.95/9.37  'class_Ring__and__Field_Oaxclass__no__zero__divisors'  [278, 1]      (w:1
% 8.95/9.37    , o:160, a:1, s:1, b:0), 
% 8.95/9.37  'class_Ring__and__Field_Oordered__ring__strict'  [279, 1]      (w:1, o:145
% 8.95/9.37    , a:1, s:1, b:0), 
% 8.95/9.37  'class_Ring__and__Field_Oordered__semidom'  [280, 1]      (w:1, o:148, a:1
% 8.95/9.37    , s:1, b:0), 
% 8.95/9.37  'class_Ring__and__Field_Oidom'  [281, 1]      (w:1, o:161, a:1, s:1, b:0), 
% 8.95/9.37    
% 8.95/9.37  'class_Ring__and__Field_Oordered__idom'  [282, 1]      (w:1, o:149, a:1, s:
% 8.95/9.37    1, b:0), 
% 8.95/9.37  'class_Numeral_Onumber'  [283, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 8.95/9.37  'class_OrderedGroup_Osemigroup__add'  [284, 1]      (w:1, o:162, a:1, s:1
% 8.95/9.37    , b:0), 
% 8.95/9.37  'class_Numeral_Onumber__ring'  [285, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 8.95/9.37  'class_Divides_Odiv'  [286, 1]      (w:1, o:163, a:1, s:1, b:0), 
% 8.95/9.37  'class_Nat_Opower'  [287, 1]      (w:1, o:102, a:1, s:1, b:0), 
% 8.95/9.37  'class_Power_Orecpower'  [288, 1]      (w:1, o:167, a:1, s:1, b:0), 
% 8.95/9.37  'class_Parity_Oeven__odd'  [289, 1]      (w:1, o:168, a:1, s:1, b:0), 
% 8.95/9.37  'class_OrderedGroup_Oab__semigroup__add'  [290, 1]      (w:1, o:164, a:1
% 8.95/9.37    , s:1, b:0), 
% 8.95/9.37  'class_OrderedGroup_Osemigroup__mult'  [291, 1]      (w:1, o:165, a:1, s:1
% 8.95/9.37    , b:0), 
% 8.95/9.37  'class_OrderedGroup_Oab__semigroup__mult'  [292, 1]      (w:1, o:166, a:1
% 8.95/9.37    , s:1, b:0), 
% 8.95/9.37  'tc_Product__Type_Ounit'  [293, 0]      (w:1, o:83, a:1, s:1, b:0), 
% 8.95/9.37  'tc_bool'  [294, 0]      (w:1, o:84, a:1, s:1, b:0), 
% 8.95/9.37  'tc_fun'  [296, 2]      (w:1, o:236, a:1, s:1, b:0), 
% 8.95/9.37  'class_Wellfounded__Recursion_Owellorder'  [297, 1]      (w:1, o:169, a:1
% 8.95/9.37    , s:1, b:0), 
% 8.95/9.37  'class_Ring__and__Field_Odivision__by__zero'  [299, 1]      (w:1, o:170, a:
% 8.95/9.37    1, s:1, b:0), 
% 8.95/9.37  'class_HOL_Oinverse'  [300, 1]      (w:1, o:171, a:1, s:1, b:0), 
% 8.95/9.37  'class_Ring__and__Field_Ofield'  [301, 1]      (w:1, o:172, a:1, s:1, b:0)
% 8.95/9.37    , 
% 8.95/9.37  'class_Ring__and__Field_Oordered__field'  [302, 1]      (w:1, o:150, a:1
% 8.95/9.37    , s:1, b:0), 
% 8.95/9.37  'class_Ring__and__Field_Opordered__comm__ring'  [303, 1]      (w:1, o:154
% 8.95/9.37    , a:1, s:1, b:0), 
% 8.95/9.37  'c_PropLog_Osat'  [304, 3]      (w:1, o:271, a:1, s:1, b:0), 
% 8.95/9.37  'v_x'  [306, 0]      (w:1, o:87, a:1, s:1, b:0), 
% 8.95/9.37  't_a'  [307, 0]      (w:1, o:88, a:1, s:1, b:0).
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Starting Search:
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    3300
% 8.95/9.37  Kept:         2047
% 8.95/9.37  Inuse:        71
% 8.95/9.37  Deleted:      0
% 8.95/9.37  Deletedinuse: 0
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    8527
% 8.95/9.37  Kept:         4058
% 8.95/9.37  Inuse:        154
% 8.95/9.37  Deleted:      1
% 8.95/9.37  Deletedinuse: 0
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    14242
% 8.95/9.37  Kept:         6129
% 8.95/9.37  Inuse:        242
% 8.95/9.37  Deleted:      4
% 8.95/9.37  Deletedinuse: 0
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    20368
% 8.95/9.37  Kept:         8136
% 8.95/9.37  Inuse:        296
% 8.95/9.37  Deleted:      5
% 8.95/9.37  Deletedinuse: 0
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    25913
% 8.95/9.37  Kept:         10464
% 8.95/9.37  Inuse:        341
% 8.95/9.37  Deleted:      5
% 8.95/9.37  Deletedinuse: 0
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    33508
% 8.95/9.37  Kept:         12798
% 8.95/9.37  Inuse:        386
% 8.95/9.37  Deleted:      5
% 8.95/9.37  Deletedinuse: 0
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    39490
% 8.95/9.37  Kept:         14929
% 8.95/9.37  Inuse:        446
% 8.95/9.37  Deleted:      5
% 8.95/9.37  Deletedinuse: 0
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    43382
% 8.95/9.37  Kept:         16930
% 8.95/9.37  Inuse:        475
% 8.95/9.37  Deleted:      6
% 8.95/9.37  Deletedinuse: 0
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    49457
% 8.95/9.37  Kept:         19078
% 8.95/9.37  Inuse:        520
% 8.95/9.37  Deleted:      7
% 8.95/9.37  Deletedinuse: 1
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  Resimplifying clauses:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  Resimplifying inuse:
% 8.95/9.37  Done
% 8.95/9.37  
% 8.95/9.37  
% 8.95/9.37  Intermediate Status:
% 8.95/9.37  Generated:    53990
% 8.95/9.37  Kept:         21110
% 8.95/9.37  Inuse:        545
% 12.94/13.37  Deleted:      148
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    59760
% 12.94/13.37  Kept:         23135
% 12.94/13.37  Inuse:        595
% 12.94/13.37  Deleted:      148
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    66454
% 12.94/13.37  Kept:         25533
% 12.94/13.37  Inuse:        650
% 12.94/13.37  Deleted:      148
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    71938
% 12.94/13.37  Kept:         27974
% 12.94/13.37  Inuse:        725
% 12.94/13.37  Deleted:      148
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    75833
% 12.94/13.37  Kept:         30072
% 12.94/13.37  Inuse:        755
% 12.94/13.37  Deleted:      148
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    83009
% 12.94/13.37  Kept:         32613
% 12.94/13.37  Inuse:        780
% 12.94/13.37  Deleted:      148
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    88821
% 12.94/13.37  Kept:         34772
% 12.94/13.37  Inuse:        825
% 12.94/13.37  Deleted:      148
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    96143
% 12.94/13.37  Kept:         36953
% 12.94/13.37  Inuse:        850
% 12.94/13.37  Deleted:      148
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    106005
% 12.94/13.37  Kept:         39125
% 12.94/13.37  Inuse:        870
% 12.94/13.37  Deleted:      148
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying clauses:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    114926
% 12.94/13.37  Kept:         41595
% 12.94/13.37  Inuse:        885
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    123975
% 12.94/13.37  Kept:         43687
% 12.94/13.37  Inuse:        905
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    130024
% 12.94/13.37  Kept:         45824
% 12.94/13.37  Inuse:        935
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    136480
% 12.94/13.37  Kept:         48030
% 12.94/13.37  Inuse:        985
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    144285
% 12.94/13.37  Kept:         50178
% 12.94/13.37  Inuse:        1015
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    149412
% 12.94/13.37  Kept:         52242
% 12.94/13.37  Inuse:        1065
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    156187
% 12.94/13.37  Kept:         54435
% 12.94/13.37  Inuse:        1090
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    161780
% 12.94/13.37  Kept:         56524
% 12.94/13.37  Inuse:        1105
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    166669
% 12.94/13.37  Kept:         58644
% 12.94/13.37  Inuse:        1130
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    171214
% 12.94/13.37  Kept:         60749
% 12.94/13.37  Inuse:        1180
% 12.94/13.37  Deleted:      172
% 12.94/13.37  Deletedinuse: 1
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying clauses:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    175447
% 12.94/13.37  Kept:         62751
% 12.94/13.37  Inuse:        1210
% 12.94/13.37  Deleted:      302
% 12.94/13.37  Deletedinuse: 2
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    181004
% 12.94/13.37  Kept:         65178
% 12.94/13.37  Inuse:        1240
% 12.94/13.37  Deleted:      302
% 12.94/13.37  Deletedinuse: 2
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    186614
% 12.94/13.37  Kept:         67306
% 12.94/13.37  Inuse:        1280
% 12.94/13.37  Deleted:      302
% 12.94/13.37  Deletedinuse: 2
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    191245
% 12.94/13.37  Kept:         69419
% 12.94/13.37  Inuse:        1313
% 12.94/13.37  Deleted:      302
% 12.94/13.37  Deletedinuse: 2
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    198329
% 12.94/13.37  Kept:         72925
% 12.94/13.37  Inuse:        1325
% 12.94/13.37  Deleted:      302
% 12.94/13.37  Deletedinuse: 2
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    203225
% 12.94/13.37  Kept:         75691
% 12.94/13.37  Inuse:        1330
% 12.94/13.37  Deleted:      302
% 12.94/13.37  Deletedinuse: 2
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    207194
% 12.94/13.37  Kept:         77732
% 12.94/13.37  Inuse:        1342
% 12.94/13.37  Deleted:      302
% 12.94/13.37  Deletedinuse: 2
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    214250
% 12.94/13.37  Kept:         80029
% 12.94/13.37  Inuse:        1350
% 12.94/13.37  Deleted:      302
% 12.94/13.37  Deletedinuse: 2
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying clauses:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    219143
% 12.94/13.37  Kept:         82278
% 12.94/13.37  Inuse:        1360
% 12.94/13.37  Deleted:      499
% 12.94/13.37  Deletedinuse: 2
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    224302
% 12.94/13.37  Kept:         84442
% 12.94/13.37  Inuse:        1369
% 12.94/13.37  Deleted:      500
% 12.94/13.37  Deletedinuse: 3
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Intermediate Status:
% 12.94/13.37  Generated:    229086
% 12.94/13.37  Kept:         86597
% 12.94/13.37  Inuse:        1395
% 12.94/13.37  Deleted:      500
% 12.94/13.37  Deletedinuse: 3
% 12.94/13.37  
% 12.94/13.37  Resimplifying inuse:
% 12.94/13.37  Done
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  Bliksems!, er is een bewijs:
% 12.94/13.37  % SZS status Unsatisfiable
% 12.94/13.37  % SZS output start Refutation
% 12.94/13.37  
% 12.94/13.37  clause( 1334, [ ~( 'c_PropLog_Osat'( 'c_emptyset', X, Y ) ), 'c_in'( X, 
% 12.94/13.37    'c_PropLog_Othms'( 'c_emptyset', Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 12.94/13.37  .
% 12.94/13.37  clause( 1340, [ 'c_PropLog_Osat'( 'c_emptyset', 'v_x', 't_a' ) ] )
% 12.94/13.37  .
% 12.94/13.37  clause( 1341, [ ~( 'c_in'( 'v_x', 'c_PropLog_Othms'( 'c_emptyset', 't_a' )
% 12.94/13.37    , 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 12.94/13.37  .
% 12.94/13.37  clause( 87953, [] )
% 12.94/13.37  .
% 12.94/13.37  
% 12.94/13.37  
% 12.94/13.37  % SZS output end Refutation
% 12.94/13.37  found a proof!
% 12.94/13.37  
% 12.94/13.37  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.94/13.37  
% 12.94/13.37  initialclauses(
% 12.94/13.37  [ clause( 87955, [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Ovar'( X, Y
% 12.94/13.37     ) ) ) ] )
% 12.94/13.37  , clause( 87956, [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 
% 12.94/13.37    'c_PropLog_Opl_Ofalse' ) ) ] )
% 12.94/13.37  , clause( 87957, [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Oop_A_N_62'( 
% 12.94/13.37    X, Y, Z ) ) ) ] )
% 12.94/13.37  , clause( 87958, [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 12.94/13.37    'c_PropLog_Opl_Ofalse' ) ) ] )
% 12.94/13.37  , clause( 87959, [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 
% 12.94/13.37    'c_PropLog_Opl_Oop_A_N_62'( Z, T, Y ) ) ) ] )
% 12.94/13.37  , clause( 87960, [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 12.94/13.37    'c_PropLog_Opl_Ovar'( T, Z ) ) ) ] )
% 12.94/13.37  , clause( 87961, [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Ovar'( 
% 12.94/13.37    Z, Y ) ) ), =( X, Z ) ] )
% 12.94/13.37  , clause( 87962, [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 12.94/13.37    'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 87963, [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 12.94/13.37    'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( Y, U ) ] )
% 12.94/13.37  , clause( 87964, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X, 
% 12.94/13.37    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 12.94/13.37  , clause( 87965, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y, 
% 12.94/13.37    'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 12.94/13.37  , clause( 87966, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( 
% 12.94/13.37    X, Y ), Y ), Y ) ] )
% 12.94/13.37  , clause( 87967, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 12.94/13.37    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 87968, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 
% 12.94/13.37    'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 87969, [ ~( =( 'c_Datatype_Ooption_ONone', 
% 12.94/13.37    'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 12.94/13.37  , clause( 87970, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 12.94/13.37    'c_Datatype_Ooption_ONone' ) ) ] )
% 12.94/13.37  , clause( 87971, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 
% 12.94/13.37    'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 12.94/13.37  , clause( 87972, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 87973, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 12.94/13.37  , clause( 87974, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 87975, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 12.94/13.37  , clause( 87976, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 87977, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 12.94/13.37  , clause( 87978, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 12.94/13.37  , clause( 87979, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 12.94/13.37  , clause( 87980, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 12.94/13.37  , clause( 87981, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 12.94/13.37  , clause( 87982, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.94/13.37    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 12.94/13.37  , clause( 87983, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.94/13.37    'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 12.94/13.37  , clause( 87984, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.94/13.37    'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 12.94/13.37  , clause( 87985, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.94/13.37    'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 12.94/13.37  , clause( 87986, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ), 
% 12.94/13.37    'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 12.94/13.37  , clause( 87987, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 
% 12.94/13.37    'c_0' ) ] )
% 12.94/13.37  , clause( 87988, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 12.94/13.37  , clause( 87989, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 12.94/13.37    , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 12.94/13.37  , clause( 87990, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 
% 12.94/13.37    'c_emptyset', X, Y ) ) ] )
% 12.94/13.37  , clause( 87991, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 
% 12.94/13.37    'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 12.94/13.37  , clause( 87992, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 12.94/13.37    , 'c_emptyset' ) ] )
% 12.94/13.37  , clause( 87993, [ ~( =( 'c_Extraction_Osumbool_OLeft', 
% 12.94/13.37    'c_Extraction_Osumbool_ORight' ) ) ] )
% 12.94/13.37  , clause( 87994, [ ~( =( 'c_Extraction_Osumbool_ORight', 
% 12.94/13.37    'c_Extraction_Osumbool_OLeft' ) ) ] )
% 12.94/13.37  , clause( 87995, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( 
% 12.94/13.37    T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 12.94/13.37    , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 12.94/13.37  , clause( 87996, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 
% 12.94/13.37    'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 
% 12.94/13.37    'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 87997, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 
% 12.94/13.37    'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 
% 12.94/13.37    'tc_set'( Y ) ) ] )
% 12.94/13.37  , clause( 87998, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.94/13.37     ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( 
% 12.94/13.37    Y ) ) ) ] )
% 12.94/13.37  , clause( 87999, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X, 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88000, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y, 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88001, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.94/13.37     ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 
% 12.94/13.37    'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 12.94/13.37  , clause( 88002, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 12.94/13.37  , clause( 88003, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.94/13.37    'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 12.94/13.37  , clause( 88004, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 12.94/13.37    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88005, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 12.94/13.37    , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88006, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 
% 12.94/13.37    'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 
% 12.94/13.37    'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88007, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.94/13.37    'tc_nat' ) ) ) ] )
% 12.94/13.37  , clause( 88008, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), 
% 12.94/13.37    =( X, Y ) ] )
% 12.94/13.37  , clause( 88009, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 
% 12.94/13.37    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88010, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 12.94/13.37    'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88011, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 12.94/13.37    , =( X, 'c_0' ) ] )
% 12.94/13.37  , clause( 88012, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88013, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 12.94/13.37     ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88014, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ), 
% 12.94/13.37    'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y, 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88015, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 12.94/13.37    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 12.94/13.37    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 12.94/13.37  , clause( 88016, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 12.94/13.37    =( X, 'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88017, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), 
% 12.94/13.37    =( Y, 'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88018, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 12.94/13.37    , 'c_List_Olist_ONil', X ) ) ] )
% 12.94/13.37  , clause( 88019, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), 
% 12.94/13.37    =( X, 'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88020, [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 
% 12.94/13.37    'c_List_Olist_ONil', X ) ) ] )
% 12.94/13.37  , clause( 88021, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 12.94/13.37    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 
% 12.94/13.37    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 12.94/13.37  , clause( 88022, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 12.94/13.37    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 12.94/13.37    'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 88023, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 
% 12.94/13.37    'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 
% 12.94/13.37    'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 12.94/13.37  , clause( 88024, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 12.94/13.37     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ), 
% 12.94/13.37    'tc_List_Olist'( Z ) ) ] )
% 12.94/13.37  , clause( 88025, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 12.94/13.37     ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ), 
% 12.94/13.37    'tc_List_Olist'( Z ) ) ] )
% 12.94/13.37  , clause( 88026, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 12.94/13.37    Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 12.94/13.37    , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 12.94/13.37    Z ) ) ] )
% 12.94/13.37  , clause( 88027, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 12.94/13.37    =( X, 'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88028, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), 
% 12.94/13.37    =( Y, 'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88029, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 12.94/13.37    , X ), 'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88030, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), 
% 12.94/13.37    =( X, T ) ] )
% 12.94/13.37  , clause( 88031, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 
% 12.94/13.37    'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88032, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 12.94/13.37  , clause( 88033, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 
% 12.94/13.37    'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88034, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 12.94/13.37  , clause( 88035, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 12.94/13.37    Z, T ) ) ), =( X, Z ) ] )
% 12.94/13.37  , clause( 88036, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( 
% 12.94/13.37    Z, T ) ) ), =( Y, T ) ] )
% 12.94/13.37  , clause( 88037, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 12.94/13.37     ), =( X, 'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88038, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( 
% 12.94/13.37    X ) ), 'c_0' ) ] )
% 12.94/13.37  , clause( 88039, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil', 
% 12.94/13.37    'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88040, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 12.94/13.37     ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88041, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 
% 12.94/13.37    'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 
% 12.94/13.37    'c_List_Oremdups'( X, Y ), X ) ] )
% 12.94/13.37  , clause( 88042, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'( 
% 12.94/13.37    'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 
% 12.94/13.37    'tc_List_Olist'( Y ) ) ) ] )
% 12.94/13.37  , clause( 88043, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 12.94/13.37     ) ) ) ] )
% 12.94/13.37  , clause( 88044, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.94/13.37    'c_List_Olist_ONil' ) ) ] )
% 12.94/13.37  , clause( 88045, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.94/13.37    'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 88046, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.94/13.37    'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 12.94/13.37  , clause( 88047, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 12.94/13.37    , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( 
% 12.94/13.37    Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 12.94/13.37  , clause( 88048, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ), 
% 12.94/13.37    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ), 
% 12.94/13.37    'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 12.94/13.37  , clause( 88049, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), 
% 12.94/13.37    =( X, 'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88050, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 
% 12.94/13.37    'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88051, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), 
% 12.94/13.37    =( X, Z ) ] )
% 12.94/13.37  , clause( 88052, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), 
% 12.94/13.37    =( Y, T ) ] )
% 12.94/13.37  , clause( 88053, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 
% 12.94/13.37    'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88054, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 12.94/13.37  , clause( 88055, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 
% 12.94/13.37    'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88056, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 12.94/13.37  , clause( 88057, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X, 
% 12.94/13.37    'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88058, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88059, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X, 
% 12.94/13.37    'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88060, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88061, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 12.94/13.37  , clause( 88062, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 12.94/13.37     ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88063, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 
% 12.94/13.37    'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88064, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 
% 12.94/13.37    'c_less'( X, Y, 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88065, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 12.94/13.37    , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88066, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 12.94/13.37  , clause( 88067, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 12.94/13.37  , clause( 88068, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 12.94/13.37     ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88069, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 12.94/13.37    'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88070, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 
% 12.94/13.37    'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88071, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88072, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88073, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 12.94/13.37  , clause( 88074, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88075, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88076, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 
% 12.94/13.37    'c_0' ) ] )
% 12.94/13.37  , clause( 88077, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88078, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 12.94/13.37  , clause( 88079, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88080, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 12.94/13.37  , clause( 88081, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88082, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88083, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88084, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88085, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88086, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88087, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 12.94/13.37     ) ) ] )
% 12.94/13.37  , clause( 88088, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 12.94/13.37    , =( X, U ) ] )
% 12.94/13.37  , clause( 88089, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 12.94/13.37    , =( Y, W ) ] )
% 12.94/13.37  , clause( 88090, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 
% 12.94/13.37    'tc_prod'( Y, Y ) ) ] )
% 12.94/13.37  , clause( 88091, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 
% 12.94/13.37    'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 
% 12.94/13.37    'tc_prod'( T, U ) ) ] )
% 12.94/13.37  , clause( 88092, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.94/13.37     ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 12.94/13.37    , Z, T ), T ) ] )
% 12.94/13.37  , clause( 88093, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 
% 12.94/13.37    'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 
% 12.94/13.37    'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 12.94/13.37  , clause( 88094, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.94/13.37     ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 
% 12.94/13.37    'tc_prod'( T, Z ) ) ] )
% 12.94/13.37  , clause( 88095, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 
% 12.94/13.37    'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 12.94/13.37  , clause( 88096, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 12.94/13.37    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), 
% 12.94/13.37    =( Y, Z ) ] )
% 12.94/13.37  , clause( 88097, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 12.94/13.37    'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 12.94/13.37  , clause( 88098, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 12.94/13.37    Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 12.94/13.37  , clause( 88099, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 12.94/13.37    'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ), 
% 12.94/13.37    'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 12.94/13.37  , clause( 88100, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 12.94/13.37    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ), 
% 12.94/13.37    'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 12.94/13.37  , clause( 88101, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 12.94/13.37    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( 
% 12.94/13.37    Y, Z ) ] )
% 12.94/13.37  , clause( 88102, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 12.94/13.37    'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 12.94/13.37  , clause( 88103, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, 
% 12.94/13.37    Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 12.94/13.37  , clause( 88104, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( 
% 12.94/13.37    'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ), 
% 12.94/13.37    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 12.94/13.37  , clause( 88105, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 12.94/13.37    , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 
% 12.94/13.37    'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 12.94/13.37  , clause( 88106, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 12.94/13.37    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 12.94/13.37     ) ) ), =( Y, Z ) ] )
% 12.94/13.37  , clause( 88107, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 12.94/13.37    'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 12.94/13.37  , clause( 88108, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 12.94/13.37     ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 12.94/13.37  , clause( 88109, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 12.94/13.37    'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 12.94/13.37     ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 12.94/13.37  , clause( 88110, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 12.94/13.37    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ), 
% 12.94/13.37    'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 12.94/13.37  , clause( 88111, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 12.94/13.37    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 12.94/13.37    , =( Y, Z ) ] )
% 12.94/13.37  , clause( 88112, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y, 
% 12.94/13.37    'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 12.94/13.37  , clause( 88113, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 12.94/13.37     ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 12.94/13.37  , clause( 88114, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 12.94/13.37    'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ), 
% 12.94/13.37    'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 12.94/13.37  , clause( 88115, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 12.94/13.37    Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ), 
% 12.94/13.37    'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 12.94/13.37  , clause( 88116, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 
% 12.94/13.37    'tc_set'( Z ) ), Z ) ) ] )
% 12.94/13.37  , clause( 88117, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 12.94/13.37     ) ), Z ) ] )
% 12.94/13.37  , clause( 88118, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 
% 12.94/13.37    'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 12.94/13.37  , clause( 88119, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 
% 12.94/13.37    'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 
% 12.94/13.37    'tc_set'( Y ) ) ] )
% 12.94/13.37  , clause( 88120, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 
% 12.94/13.37    'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( 
% 12.94/13.37    Z ) ), 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88121, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 
% 12.94/13.37    'tc_set'( Z ) ), Z ) ) ] )
% 12.94/13.37  , clause( 88122, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 
% 12.94/13.37    'c_in'( X, Y, T ) ] )
% 12.94/13.37  , clause( 88123, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 
% 12.94/13.37    'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 12.94/13.37  , clause( 88124, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 12.94/13.37    , T ) ] )
% 12.94/13.37  , clause( 88125, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 12.94/13.37    , T ) ] )
% 12.94/13.37  , clause( 88126, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( 
% 12.94/13.37    X, 'c_inter'( T, Y, Z ), Z ) ] )
% 12.94/13.37  , clause( 88127, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 
% 12.94/13.37    'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 12.94/13.37  , clause( 88128, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 
% 12.94/13.37    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88129, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 
% 12.94/13.37    'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88130, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 12.94/13.37  , clause( 88131, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 12.94/13.37    , Z ) ] )
% 12.94/13.37  , clause( 88132, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 12.94/13.37    , Z ) ] )
% 12.94/13.37  , clause( 88133, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 12.94/13.37    , T ), 'c_in'( X, Y, T ) ] )
% 12.94/13.37  , clause( 88134, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 
% 12.94/13.37    'c_emptyset' ) ] )
% 12.94/13.37  , clause( 88135, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 
% 12.94/13.37    'c_emptyset' ) ] )
% 12.94/13.37  , clause( 88136, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 
% 12.94/13.37    'c_emptyset' ) ] )
% 12.94/13.37  , clause( 88137, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 12.94/13.37     ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 12.94/13.37  , clause( 88138, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 12.94/13.37  , clause( 88139, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 12.94/13.37    , Z ) ] )
% 12.94/13.37  , clause( 88140, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 12.94/13.37  , clause( 88141, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 12.94/13.37    , T ), =( X, Y ) ] )
% 12.94/13.37  , clause( 88142, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 12.94/13.37  , clause( 88143, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 12.94/13.37    , Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 88144, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 12.94/13.37    , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( 
% 12.94/13.37    Z ) ) ] )
% 12.94/13.37  , clause( 88145, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 12.94/13.37    'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 12.94/13.37    , Z ) ) ] )
% 12.94/13.37  , clause( 88146, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 12.94/13.37    , Y ) ) ), =( Z, X ) ] )
% 12.94/13.37  , clause( 88147, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 12.94/13.37    , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( 
% 12.94/13.37    Y ) ) ] )
% 12.94/13.37  , clause( 88148, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 12.94/13.37    'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 12.94/13.37    , Z ) ) ] )
% 12.94/13.37  , clause( 88149, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 12.94/13.37    T, Y, Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 88150, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 12.94/13.37    T, Z, Y ) ) ) ] )
% 12.94/13.37  , clause( 88151, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( 
% 12.94/13.37    T, Y, Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 88152, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( 
% 12.94/13.37    T, Z, Y ) ) ) ] )
% 12.94/13.37  , clause( 88153, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 
% 12.94/13.37    'c_Relation_Oconverse'( X, Y, Y ), Y ) ), 
% 12.94/13.37    'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 12.94/13.37  , clause( 88154, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 12.94/13.37    'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88155, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 12.94/13.37    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 12.94/13.37    'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 12.94/13.37  , clause( 88156, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 
% 12.94/13.37    'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 
% 12.94/13.37    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 12.94/13.37    'tc_prod'( Z, Z ) ) ) ] )
% 12.94/13.37  , clause( 88157, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ), 
% 12.94/13.37    'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), 
% 12.94/13.37    X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 12.94/13.37    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 12.94/13.37  , clause( 88158, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 12.94/13.37    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 
% 12.94/13.37    'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 12.94/13.37  , clause( 88159, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( 
% 12.94/13.37    X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 12.94/13.37    , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88160, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 12.94/13.37    'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X, 
% 12.94/13.37    'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ), 
% 12.94/13.37    'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 12.94/13.37  , clause( 88161, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 
% 12.94/13.37    'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 12.94/13.37     ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88162, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 12.94/13.37    , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 
% 12.94/13.37    'tc_nat', 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88163, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 88164, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ), 
% 12.94/13.37    'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 12.94/13.37  , clause( 88165, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 12.94/13.37     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 12.94/13.37    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 
% 12.94/13.37    'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ), 
% 12.94/13.37    'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ), 
% 12.94/13.37    'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.94/13.37  , clause( 88166, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 12.94/13.37     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.94/13.37    'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 12.94/13.37     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.94/13.37  , clause( 88167, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 12.94/13.37     ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.94/13.37    'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 12.94/13.37     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.94/13.37  , clause( 88168, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 12.94/13.37    , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.94/13.37    'c_Datatype__Universe_OScons'( W, X, Z, T ), 
% 12.94/13.37    'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'( 
% 12.94/13.37    V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 12.94/13.37     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 12.94/13.37  , clause( 88169, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 12.94/13.37    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'( 
% 12.94/13.37    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 12.94/13.37    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 12.94/13.37    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 12.94/13.37    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.94/13.37  , clause( 88170, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 12.94/13.37    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.94/13.37    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 12.94/13.37    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ), 
% 12.94/13.37    'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.94/13.37  , clause( 88171, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 12.94/13.37    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.94/13.37    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'( 
% 12.94/13.37    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ), 
% 12.94/13.37    'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.94/13.37  , clause( 88172, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 12.94/13.37    , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.94/13.37    'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.94/13.37    'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ), 
% 12.94/13.37    'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 12.94/13.37  , clause( 88173, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.94/13.37    'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 12.94/13.37    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 12.94/13.37    U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 12.94/13.37     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 12.94/13.37  , clause( 88174, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'( 
% 12.94/13.37    'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 12.94/13.37    , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'( 
% 12.94/13.37    W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 12.94/13.37     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 12.94/13.37  , clause( 88175, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 12.94/13.37     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 12.94/13.37    'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ), 
% 12.94/13.37    'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 12.94/13.37  , clause( 88176, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 12.94/13.37     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.94/13.37    'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 12.94/13.37  , clause( 88177, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 12.94/13.37     ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.94/13.37    'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 12.94/13.37  , clause( 88178, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 12.94/13.37    Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 12.94/13.37    , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ), 
% 12.94/13.37    'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 12.94/13.37  , clause( 88179, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 12.94/13.37    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 
% 12.94/13.37    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ), 
% 12.94/13.37    =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 12.94/13.37     ) ) ] )
% 12.94/13.37  , clause( 88180, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 12.94/13.37    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.94/13.37    'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 12.94/13.37    'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88181, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 12.94/13.37    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.94/13.37    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X, 
% 12.94/13.37    'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88182, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 12.94/13.37    , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 
% 12.94/13.37    'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 12.94/13.37    , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 12.94/13.37  , clause( 88183, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 12.94/13.37    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ), 
% 12.94/13.37    'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 12.94/13.37  , clause( 88184, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( 
% 12.94/13.37    Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ), 
% 12.94/13.37    'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'( 
% 12.94/13.37    'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 12.94/13.37  , clause( 88185, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88186, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88187, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88188, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88189, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 12.94/13.37    , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88190, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.94/13.37    X ) ) ] )
% 12.94/13.37  , clause( 88191, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.94/13.37     ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 12.94/13.37     ) ) ] )
% 12.94/13.37  , clause( 88192, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.94/13.37     ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88193, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 12.94/13.37     ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88194, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.94/13.37    'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 
% 12.94/13.37    'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 
% 12.94/13.37    'tc_set'( Y ) ) ] )
% 12.94/13.37  , clause( 88195, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 
% 12.94/13.37    'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 12.94/13.37  , clause( 88196, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 12.94/13.37    'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88197, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 
% 12.94/13.37    'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88198, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( 
% 12.94/13.37    Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 12.94/13.37  , clause( 88199, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 
% 12.94/13.37    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88200, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 
% 12.94/13.37    'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88201, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88202, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88203, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 
% 12.94/13.37    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88204, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 
% 12.94/13.37    'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88205, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 
% 12.94/13.37    'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 
% 12.94/13.37    'tc_IntDef_Oint' ) ) ] )
% 12.94/13.37  , clause( 88206, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 12.94/13.37  , clause( 88207, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 12.94/13.37    , 'tc_set'( Y ) ) ] )
% 12.94/13.37  , clause( 88208, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( 
% 12.94/13.37    Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88209, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 12.94/13.37     ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88210, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 12.94/13.37    , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 12.94/13.37  , clause( 88211, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 12.94/13.37    , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88212, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 12.94/13.37    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 12.94/13.37    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T, 
% 12.94/13.37    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), 
% 12.94/13.37    'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 12.94/13.37  , clause( 88213, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 12.94/13.37    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 12.94/13.37    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 12.94/13.37    'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), 
% 12.94/13.37    'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ), 
% 12.94/13.37    'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 12.94/13.37  , clause( 88214, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 12.94/13.37    , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 12.94/13.37    , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 
% 12.94/13.37    'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U, 
% 12.94/13.37    'tc_prod'( Z, Z ) ) ] )
% 12.94/13.37  , clause( 88215, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 12.94/13.37    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 12.94/13.37    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X, 
% 12.94/13.37    'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), 
% 12.94/13.37    'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 12.94/13.37  , clause( 88216, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 12.94/13.37    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 12.94/13.37    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 12.94/13.37    'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z, 
% 12.94/13.37    'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ), 
% 12.94/13.37    'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 12.94/13.37  , clause( 88217, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 12.94/13.37    , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 12.94/13.37    , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'( 
% 12.94/13.37    'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U, 
% 12.94/13.37    'tc_prod'( T, T ) ) ] )
% 12.94/13.37  , clause( 88218, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 
% 12.94/13.37    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 12.94/13.37    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 12.94/13.37    'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88219, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 
% 12.94/13.37    'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 
% 12.94/13.37    'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X, 
% 12.94/13.37    'c_List_Olist_ONil' ) ] )
% 12.94/13.37  , clause( 88220, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.94/13.37    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 
% 12.94/13.37    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 12.94/13.37  , clause( 88221, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 12.94/13.37    'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 12.94/13.37  , clause( 88222, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 12.94/13.37    , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 12.94/13.37    , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 12.94/13.37  , clause( 88223, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 
% 12.94/13.37    'tc_List_Olist'( Y ) ) ] )
% 12.94/13.37  , clause( 88224, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 12.94/13.37    'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'( 
% 12.94/13.37    Y ) ) ] )
% 12.94/13.37  , clause( 88225, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), 
% 12.94/13.37    'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 12.94/13.37     ) ) ] )
% 12.94/13.37  , clause( 88226, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88227, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88228, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88229, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88230, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 12.94/13.37    , X ) ] )
% 12.94/13.37  , clause( 88231, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 
% 12.94/13.37    'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 
% 12.94/13.37    'tc_prod'( Z, T ) ) ] )
% 12.94/13.37  , clause( 88232, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.94/13.37     ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 12.94/13.37  , clause( 88233, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), 
% 12.94/13.37    =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 12.94/13.37     ) ) ] )
% 12.94/13.37  , clause( 88234, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 12.94/13.37    'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 12.94/13.37  , clause( 88235, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 
% 12.94/13.37    'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 
% 12.94/13.37    'tc_prod'( T, U ) ) ] )
% 12.94/13.37  , clause( 88236, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 12.94/13.37     ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 12.94/13.37     ), U ) ] )
% 12.94/13.37  , clause( 88237, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 
% 12.94/13.37    'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 
% 12.94/13.37    'tc_prod'( Z, T ) ) ] )
% 12.94/13.37  , clause( 88238, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.94/13.37     ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 12.94/13.37  , clause( 88239, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 12.94/13.37    'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 12.94/13.37    , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88240, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 
% 12.94/13.37    'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 12.94/13.37     ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 12.94/13.37  , clause( 88241, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 12.94/13.37    Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 
% 12.94/13.37    'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 12.94/13.37  , clause( 88242, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, 
% 12.94/13.37    Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 12.94/13.37  , clause( 88243, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ), 
% 12.94/13.37    'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 12.94/13.37  , clause( 88244, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 12.94/13.37    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 12.94/13.37    , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 
% 12.94/13.37    'tc_prod'( T, U ) ) ] )
% 12.94/13.37  , clause( 88245, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 12.94/13.37    'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 12.94/13.37    , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 
% 12.94/13.37    'tc_prod'( W, T ) ) ] )
% 12.94/13.37  , clause( 88246, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 
% 12.94/13.37    'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, 
% 12.94/13.37    T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 12.94/13.37  , clause( 88247, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 12.94/13.37     ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 
% 12.94/13.37    'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 12.94/13.37     ), 'tc_prod'( V0, T ) ) ] )
% 12.94/13.37  , clause( 88248, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 12.94/13.37    , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88249, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 
% 12.94/13.37    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 12.94/13.37     ) ) ] )
% 12.94/13.37  , clause( 88250, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 12.94/13.37     ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88251, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 
% 12.94/13.37    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 12.94/13.37     ) ) ] )
% 12.94/13.37  , clause( 88252, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ), 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88253, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 12.94/13.37    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88254, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 
% 12.94/13.37    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 12.94/13.37     ) ) ] )
% 12.94/13.37  , clause( 88255, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 12.94/13.37    'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88256, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 
% 12.94/13.37    'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 12.94/13.37     ) ) ] )
% 12.94/13.37  , clause( 88257, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ), 
% 12.94/13.37    'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 12.94/13.37  , clause( 88258, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 
% 12.94/13.37    'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88259, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 
% 12.94/13.37    'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 12.94/13.37  , clause( 88260, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 12.94/13.37  , clause( 88261, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 
% 12.94/13.37    'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88262, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 
% 12.94/13.37    'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 12.94/13.37  , clause( 88263, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 12.94/13.37  , clause( 88264, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 
% 12.94/13.37    Y, X, 'tc_set'( Z ) ) ) ] )
% 12.94/13.37  , clause( 88265, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 12.94/13.37    , Y, 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88266, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 12.94/13.37    , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 12.94/13.37  , clause( 88267, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), 
% 12.94/13.37    =( X, Y ) ] )
% 12.94/13.37  , clause( 88268, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 12.94/13.37  , clause( 88269, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 
% 12.94/13.37    'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 12.94/13.37  , clause( 88270, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 
% 12.94/13.37    'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 12.94/13.37  , clause( 88271, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 12.94/13.37    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88272, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 12.94/13.37    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 12.94/13.37  , clause( 88273, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 12.94/13.37    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 12.94/13.37  , clause( 88274, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 12.94/13.37  , clause( 88275, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 12.94/13.37    , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 12.94/13.37  , clause( 88276, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 12.94/13.37    , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 12.94/13.37  , clause( 88277, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 12.94/13.37    'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 12.94/13.37    , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 12.94/13.37    , T ), U, T ) ) ] )
% 12.94/13.37  , clause( 88278, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 12.94/13.37    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), 
% 12.94/13.37    =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 12.94/13.37  , clause( 88279, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 12.94/13.37    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 12.94/13.37    =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 12.94/13.37  , clause( 88280, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 
% 12.94/13.37    'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 
% 12.94/13.37    'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 12.94/13.37  , clause( 88281, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 12.94/13.37    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 12.94/13.37  , clause( 88282, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 12.94/13.37    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 12.94/13.37  , clause( 88283, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 12.94/13.37     ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 12.94/13.37    , Z ), 'tc_prod'( Z, Z ) ) ] )
% 12.94/13.37  , clause( 88284, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 12.94/13.37    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 12.94/13.37    'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 12.94/13.37    'tc_prod'( Z, Z ) ) ] )
% 12.94/13.37  , clause( 88285, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 12.94/13.37  , clause( 88286, [ 'c_Relation_Otrans'( 
% 12.94/13.37    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88287, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( 
% 12.94/13.37    Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, 
% 12.94/13.37    X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 12.94/13.37  , clause( 88288, [ 'c_Wellfounded__Recursion_Owf'( 
% 12.94/13.37    'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88289, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 
% 12.94/13.37    'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'( 
% 12.94/13.37    'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88290, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 12.94/13.37     ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 12.94/13.37  , clause( 88291, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88292, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88293, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88294, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88295, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88296, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88297, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88298, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88299, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88300, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88301, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88302, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88303, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88304, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88305, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88306, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88307, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88308, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88309, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88310, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88311, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88312, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88313, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88314, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88315, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88316, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88317, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88318, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88319, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88320, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88321, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88322, [ 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88323, [ 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88324, [ 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88325, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88326, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88327, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88328, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88329, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88330, [ 
% 12.94/13.37    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88331, [ 
% 12.94/13.37    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88332, [ 'class_Ring__and__Field_Oaxclass__abs__if'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88333, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88334, [ 'class_OrderedGroup_Olordered__ab__group'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88335, [ 'class_Ring__and__Field_Opordered__ring'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88336, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88337, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88338, [ 'class_OrderedGroup_Olordered__ab__group__meet'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88339, [ 'class_OrderedGroup_Olordered__ab__group__join'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88340, [ 'class_Ring__and__Field_Olordered__ring'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88341, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88342, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88343, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88344, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88345, [ 'class_Ring__and__Field_Oordered__idom'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88346, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88347, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88348, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88349, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88350, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88351, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88352, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88353, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88354, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88355, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 12.94/13.37    'tc_IntDef_Oint' ) ] )
% 12.94/13.37  , clause( 88356, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88357, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 12.94/13.37  , clause( 88358, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 12.94/13.37    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88359, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 12.94/13.37  , clause( 88360, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88361, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88362, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88363, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88364, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88365, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88366, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88367, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88368, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88369, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88370, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88371, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88372, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88373, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88374, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88375, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88376, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88377, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88378, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88379, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88380, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88381, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88382, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88383, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88384, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88385, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88386, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88387, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88388, [ 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88389, [ 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88390, [ 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88391, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88392, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88393, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88394, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88395, [ 'class_Ring__and__Field_Opordered__comm__semiring'( 
% 12.94/13.37    'tc_nat' ) ] )
% 12.94/13.37  , clause( 88396, [ 
% 12.94/13.37    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88397, [ 
% 12.94/13.37    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88398, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88399, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88400, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88401, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88402, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88403, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88404, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88405, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88406, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 12.94/13.37     )
% 12.94/13.37  , clause( 88407, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 12.94/13.37  , clause( 88408, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 12.94/13.37    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88409, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 12.94/13.37  , clause( 88410, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 12.94/13.37  , clause( 88411, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 12.94/13.37  , clause( 88412, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~( 
% 12.94/13.37    'class_Finite__Set_Ofinite'( X ) ) ] )
% 12.94/13.37  , clause( 88413, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 12.94/13.37  , clause( 88414, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~( 
% 12.94/13.37    'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88415, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 12.94/13.37    'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88416, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 
% 12.94/13.37    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88417, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 12.94/13.37    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88418, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( 
% 12.94/13.37    X ) ] )
% 12.94/13.37  , clause( 88419, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 12.94/13.37    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88420, [ ~( 'class_LOrder_Olorder'( X ) ), 
% 12.94/13.37    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88421, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 12.94/13.37    'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88422, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 
% 12.94/13.37    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88423, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88424, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88425, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.37  , clause( 88426, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.37  , clause( 88427, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88428, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88429, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88430, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88431, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.37  , clause( 88432, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.37  , clause( 88433, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.37  , clause( 88434, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.94/13.37  , clause( 88435, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88436, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_HOL_Oone'( X ) ] )
% 12.94/13.37  , clause( 88437, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.37  , clause( 88438, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.37  , clause( 88439, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.37  , clause( 88440, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.37  , clause( 88441, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.94/13.37  , clause( 88442, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.37  , clause( 88443, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.94/13.37  , clause( 88444, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.94/13.37  , clause( 88445, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.94/13.37  , clause( 88446, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88447, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Numeral_Onumber'( X ) ] )
% 12.94/13.37  , clause( 88448, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88449, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88450, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.37  , clause( 88451, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.37  , clause( 88452, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88453, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88454, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.94/13.37    'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88455, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88456, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88457, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88458, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88459, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88460, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88461, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88462, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88463, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88464, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88465, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 12.94/13.37    'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88466, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88467, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88468, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 12.94/13.37     ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88469, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88470, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88471, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88472, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88473, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88474, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88475, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88476, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.94/13.37    'class_HOL_Oone'( X ) ] )
% 12.94/13.37  , clause( 88477, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88478, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88479, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.94/13.37    'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88480, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.37  , clause( 88481, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88482, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88483, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88484, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88485, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88486, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88487, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88488, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_LOrder_Olorder'( X ) ] )
% 12.94/13.37  , clause( 88489, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88490, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88491, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88492, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88493, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88494, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.37  , clause( 88495, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88496, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88497, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88498, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 
% 12.94/13.37    'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88499, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.94/13.37  , clause( 88500, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88501, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88502, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88503, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88504, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88505, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_LOrder_Olorder'( X ) ] )
% 12.94/13.37  , clause( 88506, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88507, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88508, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88509, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88510, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88511, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88512, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88513, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88514, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.37  , clause( 88515, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88516, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88517, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88518, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88519, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88520, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88521, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88522, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88523, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88524, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88525, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88526, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.94/13.37  , clause( 88527, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_LOrder_Olorder'( X ) ] )
% 12.94/13.37  , clause( 88528, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88529, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88530, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88531, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88532, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.37  , clause( 88533, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88534, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88535, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88536, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 12.94/13.37     ), 'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88537, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88538, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88539, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88540, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88541, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88542, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88543, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88544, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88545, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.94/13.37  , clause( 88546, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_LOrder_Olorder'( X ) ] )
% 12.94/13.37  , clause( 88547, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88548, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88549, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88550, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88551, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.37  , clause( 88552, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88553, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88554, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88555, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 12.94/13.37     ), 'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88556, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 12.94/13.37    'class_HOL_Oone'( X ) ] )
% 12.94/13.37  , clause( 88557, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88558, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 
% 12.94/13.37    'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88559, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88560, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88561, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_LOrder_Olorder'( X ) ] )
% 12.94/13.37  , clause( 88562, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88563, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88564, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.37  , clause( 88565, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88566, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88567, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88568, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88569, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88570, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88571, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88572, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_Orderings_Olinorder'( X ) ] )
% 12.94/13.37  , clause( 88573, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88574, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88575, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88576, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88577, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.37  , clause( 88578, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88579, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88580, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88581, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88582, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88583, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88584, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88585, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88586, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 12.94/13.37    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88587, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.94/13.37     ) ), 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88588, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.94/13.37     ) ), 'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88589, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.94/13.37     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88590, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.94/13.37     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88591, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 12.94/13.37     ) ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88592, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88593, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88594, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.94/13.37    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88595, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.94/13.37    'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88596, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88597, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88598, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88599, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88600, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88601, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88602, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88603, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88604, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88605, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88606, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88607, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88608, [ ~( 
% 12.94/13.37    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88609, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88610, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 
% 12.94/13.37    'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88611, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.94/13.37    'class_LOrder_Olorder'( X ) ] )
% 12.94/13.37  , clause( 88612, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.94/13.37    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88613, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.94/13.37    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.37  , clause( 88614, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.94/13.37    'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88615, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 12.94/13.37    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.37  , clause( 88616, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 12.94/13.37    'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88617, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88618, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88619, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.37  , clause( 88620, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.37  , clause( 88621, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88622, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.37  , clause( 88623, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.37  , clause( 88624, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.37  , clause( 88625, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.37  , clause( 88626, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.37  , clause( 88627, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.94/13.37  , clause( 88628, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88629, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 12.94/13.37     ] )
% 12.94/13.37  , clause( 88630, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88631, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.37  , clause( 88632, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.37  , clause( 88633, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.37  , clause( 88634, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.94/13.37  , clause( 88635, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.37  , clause( 88636, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88637, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88638, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88639, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 12.94/13.37     ) ] )
% 12.94/13.37  , clause( 88640, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88641, [ ~( 'class_Power_Orecpower'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88642, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88643, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), 
% 12.94/13.37    'class_HOL_Oone'( X ) ] )
% 12.94/13.37  , clause( 88644, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 12.94/13.37    'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88645, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 12.94/13.37    'class_Orderings_Oord'( X ) ] )
% 12.94/13.37  , clause( 88646, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88647, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 12.94/13.37    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88648, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( 
% 12.94/13.37    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88649, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.37  , clause( 88650, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.37  , clause( 88651, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88652, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88653, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88654, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88655, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88656, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88657, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.37  , clause( 88658, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.37  , clause( 88659, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.37  , clause( 88660, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88661, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.37  , clause( 88662, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.37  , clause( 88663, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88664, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88665, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88666, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88667, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88668, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.94/13.37  , clause( 88669, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.37  , clause( 88670, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.37  , clause( 88671, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88672, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88673, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88674, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88675, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88676, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88677, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88678, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88679, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88680, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.37  , clause( 88681, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.94/13.37  , clause( 88682, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.37  , clause( 88683, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.37  , clause( 88684, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.37  , clause( 88685, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.37  , clause( 88686, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_HOL_Oone'( X ) ] )
% 12.94/13.37  , clause( 88687, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.94/13.37  , clause( 88688, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.37  , clause( 88689, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.94/13.37  , clause( 88690, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_HOL_Ominus'( X ) ] )
% 12.94/13.37  , clause( 88691, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.37  , clause( 88692, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.37  , clause( 88693, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.37  , clause( 88694, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88695, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.37  , clause( 88696, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.37  , clause( 88697, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88698, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88699, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88700, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88701, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88702, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.94/13.37    'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88703, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.37  , clause( 88704, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.37  , clause( 88705, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88706, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.37  , clause( 88707, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.37  , clause( 88708, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88709, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88710, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88711, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88712, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88713, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88714, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88715, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.37  , clause( 88716, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.37  , clause( 88717, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.37  , clause( 88718, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88719, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88720, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88721, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.37  , clause( 88722, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88723, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.37  , clause( 88724, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.37  , clause( 88725, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.37  , clause( 88726, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.94/13.37  , clause( 88727, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88728, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88729, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 
% 12.94/13.37    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88730, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.37    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.37  , clause( 88731, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.37    'class_HOL_Ozero'( X ) ] )
% 12.94/13.37  , clause( 88732, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.37  , clause( 88733, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88734, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.37    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.37  , clause( 88735, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 88736, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88737, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88738, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.38  , clause( 88739, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 88740, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 88741, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88742, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88743, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 88744, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 88745, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88746, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 88747, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.94/13.38  , clause( 88748, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 88749, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 88750, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88751, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88752, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 88753, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88754, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 88755, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88756, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 88757, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88758, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88759, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88760, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 88761, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88762, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88763, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88764, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88765, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.38  , clause( 88766, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.38  , clause( 88767, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 88768, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 88769, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 88770, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 88771, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 12.94/13.38    'class_HOL_Oinverse'( X ) ] )
% 12.94/13.38  , clause( 88772, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.94/13.38  , clause( 88773, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.94/13.38  , clause( 88774, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.38  , clause( 88775, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.38  , clause( 88776, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88777, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 88778, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88779, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 88780, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88781, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88782, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88783, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 88784, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.94/13.38  , clause( 88785, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 88786, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88787, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 88788, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 88789, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 88790, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88791, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88792, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88793, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88794, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 88795, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.38  , clause( 88796, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_HOL_Oinverse'( X ) ] )
% 12.94/13.38  , clause( 88797, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oidom'( X ) ] )
% 12.94/13.38  , clause( 88798, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.94/13.38  , clause( 88799, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 88800, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 88801, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 88802, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.94/13.38  , clause( 88803, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88804, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 88805, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.94/13.38  , clause( 88806, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.94/13.38  , clause( 88807, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.38  , clause( 88808, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.38  , clause( 88809, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88810, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 88811, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88812, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 88813, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88814, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88815, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88816, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 88817, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.94/13.38  , clause( 88818, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 88819, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88820, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 88821, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 88822, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 88823, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88824, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88825, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88826, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88827, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 88828, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.38  , clause( 88829, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.94/13.38  , clause( 88830, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 88831, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 88832, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 88833, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.94/13.38  , clause( 88834, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88835, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 88836, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 12.94/13.38  , clause( 88837, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.38  , clause( 88838, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 88839, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 88840, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88841, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 88842, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 88843, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88844, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 88845, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 88846, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 88847, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88848, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.94/13.38  , clause( 88849, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88850, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88851, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88852, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 88853, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 12.94/13.38  , clause( 88854, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.94/13.38  , clause( 88855, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_LOrder_Olorder'( X ) ] )
% 12.94/13.38  , clause( 88856, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.38  , clause( 88857, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.38  , clause( 88858, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 12.94/13.38  , clause( 88859, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 88860, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 12.94/13.38  , clause( 88861, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 88862, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.38  , clause( 88863, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88864, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.94/13.38  , clause( 88865, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 88866, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88867, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 88868, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88869, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 88870, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 88871, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88872, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Orderings_Olinorder'( X ) ] )
% 12.94/13.38  , clause( 88873, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_LOrder_Olorder'( X ) ] )
% 12.94/13.38  , clause( 88874, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.38  , clause( 88875, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.38  , clause( 88876, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.38  , clause( 88877, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88878, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88879, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88880, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 88881, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 88882, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88883, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88884, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.94/13.38  , clause( 88885, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.94/13.38  , clause( 88886, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88887, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 88888, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88889, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88890, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 88891, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 88892, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88893, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 88894, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 88895, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88896, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88897, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ofield'( X ) ] )
% 12.94/13.38  , clause( 88898, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_HOL_Oinverse'( X ) ] )
% 12.94/13.38  , clause( 88899, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.94/13.38  , clause( 88900, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88901, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 88902, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.38  , clause( 88903, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.38  , clause( 88904, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88905, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 88906, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88907, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 88908, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88909, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oidom'( X ) ] )
% 12.94/13.38  , clause( 88910, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88911, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88912, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 88913, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 88914, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88915, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 88916, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88917, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88918, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88919, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88920, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.94/13.38  , clause( 88921, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 88922, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.94/13.38  , clause( 88923, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 88924, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 88925, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 12.94/13.38  , clause( 88926, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 12.94/13.38  , clause( 88927, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88928, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88929, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 12.94/13.38  , clause( 88930, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.94/13.38  , clause( 88931, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.94/13.38  , clause( 88932, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88933, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Orderings_Olinorder'( X ) ] )
% 12.94/13.38  , clause( 88934, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 12.94/13.38  , clause( 88935, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 12.94/13.38  , clause( 88936, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 12.94/13.38  , clause( 88937, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.94/13.38  , clause( 88938, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 88939, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 12.94/13.38  , clause( 88940, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 12.94/13.38  , clause( 88941, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 12.94/13.38  , clause( 88942, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.94/13.38  , clause( 88943, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.94/13.38  , clause( 88944, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_LOrder_Olorder'( X ) ] )
% 12.94/13.38  , clause( 88945, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.38  , clause( 88946, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.38  , clause( 88947, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.94/13.38  , clause( 88948, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.38  , clause( 88949, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88950, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88951, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 88952, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 88953, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.38  , clause( 88954, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 12.94/13.38  , clause( 88955, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 88956, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 88957, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 88958, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 12.94/13.38  , clause( 88959, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.94/13.38  , clause( 88960, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.38  , clause( 88961, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.38  , clause( 88962, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 88963, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 88964, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88965, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 88966, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88967, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88968, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 88969, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 88970, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring__1'( X ) ] )
% 12.94/13.38  , clause( 88971, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 88972, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 88973, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 88974, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 88975, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 88976, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88977, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88978, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88979, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88980, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 88981, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.38  , clause( 88982, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 12.94/13.38  , clause( 88983, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.94/13.38  , clause( 88984, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88985, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Orderings_Olinorder'( X ) ] )
% 12.94/13.38  , clause( 88986, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_LOrder_Olorder'( X ) ] )
% 12.94/13.38  , clause( 88987, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.38  , clause( 88988, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.38  , clause( 88989, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.38  , clause( 88990, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88991, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88992, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 88993, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.94/13.38  , clause( 88994, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 88995, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 88996, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 88997, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 88998, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 88999, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 12.94/13.38  , clause( 89000, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 12.94/13.38  , clause( 89001, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 12.94/13.38  , clause( 89002, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 12.94/13.38  , clause( 89003, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 89004, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 12.94/13.38  , clause( 89005, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 12.94/13.38  , clause( 89006, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 12.94/13.38  , clause( 89007, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.94/13.38  , clause( 89008, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.94/13.38  , clause( 89009, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 12.94/13.38  , clause( 89010, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.94/13.38  , clause( 89011, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oidom'( X ) ] )
% 12.94/13.38  , clause( 89012, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 89013, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.94/13.38  , clause( 89014, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.38  , clause( 89015, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 89016, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.38  , clause( 89017, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 89018, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89019, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89020, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89021, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89022, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89023, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.94/13.38  , clause( 89024, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89025, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Orderings_Olinorder'( X ) ] )
% 12.94/13.38  , clause( 89026, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_LOrder_Olorder'( X ) ] )
% 12.94/13.38  , clause( 89027, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.38  , clause( 89028, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 89029, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.38  , clause( 89030, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.38  , clause( 89031, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89032, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.94/13.38  , clause( 89033, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 89034, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89035, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89036, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89037, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 12.94/13.38  , clause( 89038, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 12.94/13.38  , clause( 89039, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89040, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.94/13.38  , clause( 89041, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 12.94/13.38  , clause( 89042, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 12.94/13.38  , clause( 89043, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 12.94/13.38  , clause( 89044, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 12.94/13.38  , clause( 89045, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 12.94/13.38  , clause( 89046, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 12.94/13.38  , clause( 89047, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89048, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89049, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89050, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89051, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89052, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 12.94/13.38     ), 'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89053, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 89054, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 12.94/13.38  , clause( 89055, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 89056, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89057, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89058, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89059, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89060, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89061, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89062, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89063, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89064, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89065, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 12.94/13.38  , clause( 89066, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89067, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89068, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89069, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89070, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 12.94/13.38  , clause( 89071, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 12.94/13.38  , clause( 89072, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89073, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Orderings_Olinorder'( X ) ] )
% 12.94/13.38  , clause( 89074, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_LOrder_Olorder'( X ) ] )
% 12.94/13.38  , clause( 89075, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.38  , clause( 89076, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 89077, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.38  , clause( 89078, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.38  , clause( 89079, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89080, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 89081, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.94/13.38  , clause( 89082, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 89083, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 89084, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89085, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89086, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89087, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.38  , clause( 89088, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.38  , clause( 89089, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 89090, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 89091, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89092, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 89093, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89094, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89095, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 12.94/13.38  , clause( 89096, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_LOrder_Olorder'( X ) ] )
% 12.94/13.38  , clause( 89097, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.38  , clause( 89098, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.38  , clause( 89099, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 12.94/13.38     )
% 12.94/13.38  , clause( 89100, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 12.94/13.38     )
% 12.94/13.38  , clause( 89101, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89102, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89103, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89104, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89105, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89106, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89107, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89108, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.94/13.38  , clause( 89109, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 89110, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89111, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89112, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89113, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89114, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89115, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89116, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 12.94/13.38     )
% 12.94/13.38  , clause( 89117, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 89118, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 89119, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89120, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89121, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89122, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89123, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89124, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89125, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89126, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89127, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 89128, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.94/13.38  , clause( 89129, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 89130, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89131, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89132, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89133, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89134, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89135, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89136, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89137, [ ~( 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89138, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 89139, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89140, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89141, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89142, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89143, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89144, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89145, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89146, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89147, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89148, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89149, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89150, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89151, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89152, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89153, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 12.94/13.38    X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89154, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 12.94/13.38  , clause( 89155, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.38  , clause( 89156, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89157, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89158, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89159, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89160, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89161, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89162, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89163, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89164, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89165, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89166, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 89167, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 12.94/13.38  , clause( 89168, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 89169, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89170, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89171, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89172, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 89173, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89174, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 89175, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 89176, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89177, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89178, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89179, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 12.94/13.38  , clause( 89180, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 12.94/13.38  , clause( 89181, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89182, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89183, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89184, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89185, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89186, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 89187, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89188, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89189, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89190, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89191, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89192, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89193, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89194, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 12.94/13.38     ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89195, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.38  , clause( 89196, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 89197, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89198, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89199, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89200, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89201, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89202, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 12.94/13.38  , clause( 89203, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89204, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89205, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89206, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 12.94/13.38  , clause( 89207, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 89208, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 12.94/13.38  , clause( 89209, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89210, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 12.94/13.38  , clause( 89211, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89212, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89213, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89214, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89215, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89216, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89217, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89218, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89219, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89220, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89221, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89222, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89223, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89224, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89225, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89226, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89227, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89228, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89229, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89230, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89231, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89232, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89233, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89234, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89235, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89236, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89237, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89238, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89239, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89240, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 89241, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 89242, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89243, [ ~( 'class_Ring__and__Field_Oring'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89244, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oring'( X ) ] )
% 12.94/13.38  , clause( 89245, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 12.94/13.38  , clause( 89246, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89247, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89248, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89249, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89250, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89251, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.38  , clause( 89252, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.38  , clause( 89253, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 89254, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 89255, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 12.94/13.38  , clause( 89256, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Ominus'( X ) ] )
% 12.94/13.38  , clause( 89257, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89258, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89259, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89260, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89261, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89262, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89263, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89264, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89265, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89266, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89267, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89268, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89269, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89270, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89271, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89272, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89273, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89274, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89275, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89276, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89277, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89278, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89279, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89280, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89281, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89282, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89283, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89284, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89285, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89286, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89287, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89288, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.38  , clause( 89289, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89290, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89291, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 89292, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 89293, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89294, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89295, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89296, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89297, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89298, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89299, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 
% 12.94/13.38    'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89300, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 12.94/13.38  , clause( 89301, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 12.94/13.38  , clause( 89302, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_HOL_Oone'( X ) ] )
% 12.94/13.38  , clause( 89303, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 12.94/13.38  , clause( 89304, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_HOL_Otimes'( X ) ] )
% 12.94/13.38  , clause( 89305, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89306, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89307, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 12.94/13.38  , clause( 89308, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 12.94/13.38  , clause( 89309, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 12.94/13.38  , clause( 89310, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 12.94/13.38  , clause( 89311, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_HOL_Ozero'( X ) ] )
% 12.94/13.38  , clause( 89312, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89313, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 12.94/13.38  , clause( 89314, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_HOL_Oplus'( X ) ] )
% 12.94/13.38  , clause( 89315, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 12.94/13.38    , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 12.94/13.38  , clause( 89316, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.94/13.38    'class_Orderings_Oord'( X ) ] )
% 12.94/13.38  , clause( 89317, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.94/13.38    'class_Orderings_Oorder'( X ) ] )
% 12.94/13.38  , clause( 89318, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.94/13.38    'class_LOrder_Omeet__semilorder'( X ) ] )
% 12.94/13.38  , clause( 89319, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.94/13.38    'class_LOrder_Ojoin__semilorder'( X ) ] )
% 12.94/13.38  , clause( 89320, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.94/13.38    'class_LOrder_Olorder'( X ) ] )
% 12.94/13.38  , clause( 89321, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ), 
% 12.94/13.38    'class_Orderings_Olinorder'( X ) ] )
% 12.94/13.38  , clause( 89322, [ ~( 'c_PropLog_Osat'( 'c_emptyset', X, Y ) ), 'c_in'( X, 
% 12.94/13.38    'c_PropLog_Othms'( 'c_emptyset', Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 12.94/13.38  , clause( 89323, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 
% 12.94/13.38    'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( 
% 12.94/13.38    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 12.94/13.38    'tc_PropLog_Opl'( T ) ) ] )
% 12.94/13.38  , clause( 89324, [ ~( 'c_PropLog_Osat'( 'c_insert'( X, Y, 'tc_PropLog_Opl'( 
% 12.94/13.38    Z ) ), T, Z ) ), 'c_PropLog_Osat'( Y, 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z
% 12.94/13.38     ), Z ) ] )
% 12.94/13.38  , clause( 89325, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 12.94/13.38    'tc_PropLog_Opl'( Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z
% 12.94/13.38     ), 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 12.94/13.38    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 12.94/13.38  , clause( 89326, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 12.94/13.38    'tc_PropLog_Opl'( Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z
% 12.94/13.38     ), Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 
% 12.94/13.38    'tc_PropLog_Opl'( Z ) ) ] )
% 12.94/13.38  , clause( 89327, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 12.94/13.38    'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y
% 12.94/13.38    , 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 12.94/13.38  , clause( 89328, [ 'c_PropLog_Osat'( 'c_emptyset', 'v_x', 't_a' ) ] )
% 12.94/13.38  , clause( 89329, [ ~( 'c_in'( 'v_x', 'c_PropLog_Othms'( 'c_emptyset', 't_a'
% 12.94/13.38     ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 12.94/13.38  ] ).
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  subsumption(
% 12.94/13.38  clause( 1334, [ ~( 'c_PropLog_Osat'( 'c_emptyset', X, Y ) ), 'c_in'( X, 
% 12.94/13.38    'c_PropLog_Othms'( 'c_emptyset', Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 12.94/13.38  , clause( 89322, [ ~( 'c_PropLog_Osat'( 'c_emptyset', X, Y ) ), 'c_in'( X, 
% 12.94/13.38    'c_PropLog_Othms'( 'c_emptyset', Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 12.94/13.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.94/13.38     ), ==>( 1, 1 )] ) ).
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  subsumption(
% 12.94/13.38  clause( 1340, [ 'c_PropLog_Osat'( 'c_emptyset', 'v_x', 't_a' ) ] )
% 12.94/13.38  , clause( 89328, [ 'c_PropLog_Osat'( 'c_emptyset', 'v_x', 't_a' ) ] )
% 12.94/13.38  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  subsumption(
% 12.94/13.38  clause( 1341, [ ~( 'c_in'( 'v_x', 'c_PropLog_Othms'( 'c_emptyset', 't_a' )
% 12.94/13.38    , 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 12.94/13.38  , clause( 89329, [ ~( 'c_in'( 'v_x', 'c_PropLog_Othms'( 'c_emptyset', 't_a'
% 12.94/13.38     ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 12.94/13.38  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  resolution(
% 12.94/13.38  clause( 89984, [ 'c_in'( 'v_x', 'c_PropLog_Othms'( 'c_emptyset', 't_a' ), 
% 12.94/13.38    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 12.94/13.38  , clause( 1334, [ ~( 'c_PropLog_Osat'( 'c_emptyset', X, Y ) ), 'c_in'( X, 
% 12.94/13.38    'c_PropLog_Othms'( 'c_emptyset', Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 12.94/13.38  , 0, clause( 1340, [ 'c_PropLog_Osat'( 'c_emptyset', 'v_x', 't_a' ) ] )
% 12.94/13.38  , 0, substitution( 0, [ :=( X, 'v_x' ), :=( Y, 't_a' )] ), substitution( 1
% 12.94/13.38    , [] )).
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  resolution(
% 12.94/13.38  clause( 89985, [] )
% 12.94/13.38  , clause( 1341, [ ~( 'c_in'( 'v_x', 'c_PropLog_Othms'( 'c_emptyset', 't_a'
% 12.94/13.38     ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 12.94/13.38  , 0, clause( 89984, [ 'c_in'( 'v_x', 'c_PropLog_Othms'( 'c_emptyset', 't_a'
% 12.94/13.38     ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 12.94/13.38  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  subsumption(
% 12.94/13.38  clause( 87953, [] )
% 12.94/13.38  , clause( 89985, [] )
% 12.94/13.38  , substitution( 0, [] ), permutation( 0, [] ) ).
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  end.
% 12.94/13.38  
% 12.94/13.38  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.94/13.38  
% 12.94/13.38  Memory use:
% 12.94/13.38  
% 12.94/13.38  space for terms:        2486649
% 12.94/13.38  space for clauses:      4925782
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  clauses generated:      232414
% 12.94/13.38  clauses kept:           87954
% 12.94/13.38  clauses selected:       1430
% 12.94/13.38  clauses deleted:        500
% 12.94/13.38  clauses inuse deleted:  3
% 12.94/13.38  
% 12.94/13.38  subsentry:          726503
% 12.94/13.38  literals s-matched: 473518
% 12.94/13.38  literals matched:   427303
% 12.94/13.38  full subsumption:   237679
% 12.94/13.38  
% 12.94/13.38  checksum:           -1213135307
% 12.94/13.38  
% 12.94/13.38  
% 12.94/13.38  Bliksem ended
%------------------------------------------------------------------------------