TSTP Solution File: SET819-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET819-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:52:14 EDT 2022
% Result : Unsatisfiable 13.01s 13.44s
% Output : Refutation 13.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET819-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 10 17:45:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.86/1.26 *** allocated 10000 integers for termspace/termends
% 0.86/1.26 *** allocated 10000 integers for clauses
% 0.86/1.26 *** allocated 10000 integers for justifications
% 0.86/1.26 *** allocated 15000 integers for termspace/termends
% 0.86/1.26 Bliksem 1.12
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Automatic Strategy Selection
% 0.86/1.26
% 0.86/1.26 Clauses:
% 0.86/1.26 [
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 0.86/1.26 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 0.86/1.26 , Y ) ],
% 0.86/1.26 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.86/1.26 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.86/1.26 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.86/1.26 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 0.86/1.26 Z, Y ) ) ), =( X, Z ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.86/1.26 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 0.86/1.26 X, 'c_emptyset' ) ],
% 0.86/1.26 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 0.86/1.26 X, 'c_emptyset' ) ],
% 0.86/1.26 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 0.86/1.26 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 0.86/1.26 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 0.86/1.26 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.86/1.26 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.86/1.26 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.86/1.26 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 0.86/1.26 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 0.86/1.26 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 0.86/1.26 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.86/1.26 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.86/1.26 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 0.86/1.26 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 0.86/1.26 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.86/1.26 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.86/1.26 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.86/1.26 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.86/1.26 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 0.86/1.26 'c_List_Olist_ONil', X ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.86/1.26 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.86/1.26 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.86/1.26 Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.86/1.26 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.86/1.26 Z ) ) ), =( Y, U ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.86/1.26 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 0.86/1.26 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 0.86/1.26 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.86/1.26 =( X, Z ) ],
% 0.86/1.26 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.86/1.26 =( Y, T ) ],
% 0.86/1.26 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 0.86/1.26 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 0.86/1.26 , =( X, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.86/1.26 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 0.86/1.26 Y ), X ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 0.86/1.26 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 0.86/1.26 'tc_List_Olist'( Y ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.26 ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.26 ) ), =( Y, U ) ],
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.86/1.26 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.86/1.26 'c_List_Olist_ONil', Y ), Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 0.86/1.26 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 0.86/1.26 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 0.86/1.26 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 0.86/1.26 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 0.86/1.26 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 0.86/1.26 'c_Suc'( Y ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 0.86/1.26 , 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 0.86/1.26 , 'tc_nat' ) ],
% 0.86/1.26 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 0.86/1.26 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 0.86/1.26 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 0.86/1.26 'tc_nat' ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 0.86/1.26 'tc_nat' ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.86/1.26 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 0.86/1.26 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.86/1.26 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 0.86/1.26 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.86/1.26 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.86/1.26 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.86/1.26 Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.86/1.26 ) ), =( X, Y ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 0.86/1.26 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.86/1.26 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.86/1.26 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 0.86/1.26 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.86/1.26 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 0.86/1.26 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 0.86/1.26 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.86/1.26 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.86/1.26 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 0.86/1.26 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.86/1.26 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 0.86/1.26 Z, X ), 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.86/1.26 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.86/1.26 ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.86/1.26 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 0.86/1.26 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.86/1.26 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.26 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 0.86/1.26 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 0.86/1.26 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.86/1.26 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 0.86/1.26 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 0.86/1.26 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.26 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 0.86/1.26 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 0.86/1.26 Z ) ) ],
% 0.86/1.26 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 0.86/1.26 ), =( X, Z ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 0.86/1.26 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 0.86/1.26 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 0.86/1.26 , Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.86/1.26 , 'tc_set'( Z ) ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 0.86/1.26 T, Y, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 0.86/1.26 ) ), 'c_in'( T, X, Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 0.86/1.26 , 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 0.86/1.26 , 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 0.86/1.26 X, Y, T ) ],
% 0.86/1.26 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 0.86/1.26 , 'c_Union'( T, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 0.86/1.26 X, T ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 0.86/1.26 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.86/1.26 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 0.86/1.26 Z, X ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 0.86/1.26 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.86/1.26 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 0.86/1.26 , =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 0.86/1.26 , =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 0.86/1.26 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.86/1.26 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 0.86/1.26 T, Z ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.86/1.26 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 0.86/1.26 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.86/1.26 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.86/1.26 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 0.86/1.26 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 0.86/1.26 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.86/1.26 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 0.86/1.26 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 0.86/1.26 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 0.86/1.26 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 0.86/1.26 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.86/1.26 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.86/1.26 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.86/1.26 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 0.86/1.26 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.86/1.26 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.86/1.26 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.86/1.26 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.86/1.26 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.86/1.26 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.86/1.26 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.86/1.26 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.86/1.26 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.86/1.26 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 0.86/1.26 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 0.86/1.26 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 0.86/1.26 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.26 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.26 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 0.86/1.26 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 0.86/1.26 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.86/1.26 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.86/1.26 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.86/1.26 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.86/1.26 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 0.86/1.26 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.26 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.26 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 0.86/1.26 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.86/1.26 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.86/1.26 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.86/1.26 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.86/1.26 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 0.86/1.26 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.86/1.26 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( Y ) ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.86/1.26 ) ), X, 'tc_nat' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.86/1.26 ) ), Y, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 0.86/1.26 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 0.86/1.26 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 0.86/1.26 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 0.86/1.26 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.86/1.26 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.86/1.26 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 0.86/1.26 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 0.86/1.26 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.86/1.26 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.86/1.26 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 0.86/1.26 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 0.86/1.26 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.86/1.26 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.86/1.26 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 0.86/1.26 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.86/1.26 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 0.86/1.26 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.86/1.26 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 0.86/1.26 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.86/1.26 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 0.86/1.26 'tc_prod'( T, T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.86/1.26 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.86/1.26 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 0.86/1.26 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 0.86/1.26 Y ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 0.86/1.26 Y ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 0.86/1.26 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 0.86/1.26 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.86/1.26 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 0.86/1.26 T, U ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 0.86/1.26 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.86/1.26 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.86/1.26 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 0.86/1.26 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.86/1.26 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 0.86/1.26 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 0.86/1.26 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 0.86/1.26 , Z, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.86/1.26 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 0.86/1.26 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.86/1.26 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 0.86/1.26 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.86/1.26 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.86/1.26 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.86/1.26 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.86/1.26 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 0.86/1.26 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 0.86/1.26 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 0.86/1.26 T ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 0.86/1.26 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 0.86/1.26 Z ), Y, 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 0.86/1.26 'c_Inter'( Y, Z ), Z ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.86/1.26 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 0.86/1.26 X, Y, Z ), Z ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.86/1.26 'tc_set'( Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 0.86/1.26 Z ) ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'(
% 0.86/1.26 Z ) ), =( X, Y ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 0.86/1.26 ) ) ), =( X, Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 0.86/1.26 'c_in'( X, T, Z ) ],
% 0.86/1.26 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.86/1.26 , 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 0.86/1.26 X, Y, 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.86/1.26 'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.86/1.26 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ),
% 0.86/1.26 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ),
% 0.86/1.26 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.26 , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ),
% 0.86/1.26 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.26 , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 0.86/1.26 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.26 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 0.86/1.26 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.26 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 0.86/1.26 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.86/1.26 ), 'tc_prod'( Y, Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.86/1.26 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.86/1.26 , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 0.86/1.26 [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ),
% 0.86/1.26 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 0.86/1.26 , 'tc_prod'( T, Y ) ) ],
% 0.86/1.26 [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 0.86/1.26 , 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 0.86/1.26 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 0.86/1.26 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.86/1.26 [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 0.86/1.26 [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 0.86/1.26 [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 0.86/1.26 [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.86/1.26 [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_HOL_Ominus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_HOL_Ominus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_HOL_Ominus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_HOL_Ominus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_HOL_Ominus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.27 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.27 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.27 , 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.27 , 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.27 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.27 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.27 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.27 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.27 , 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.86/1.27 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.86/1.27 'class_HOL_Ominus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.27 'class_HOL_Oinverse'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oidom'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ofield'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_HOL_Oinverse'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oidom'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oidom'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Ominus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_HOL_Ominus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ 'c_in'( 'v_D', 'v_F', 'tc_set'( 't_a' ) ) ],
% 0.86/1.27 [ 'c_in'( 'v_x'( X ), X, 'tc_set'( 't_a' ) ) ],
% 0.86/1.27 [ ~( 'c_lessequals'( 'v_x'( X ), Y, 'tc_set'( 't_a' ) ) ), ~( 'c_in'( Y
% 0.86/1.27 , 'v_F', 'tc_set'( 't_a' ) ) ) ]
% 0.86/1.27 ] .
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 percentage equality = 0.074580, percentage horn = 0.979381
% 0.86/1.27 This is a problem with some equality
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Options Used:
% 0.86/1.27
% 0.86/1.27 useres = 1
% 0.86/1.27 useparamod = 1
% 0.86/1.27 useeqrefl = 1
% 0.86/1.27 useeqfact = 1
% 0.86/1.27 usefactor = 1
% 0.86/1.27 usesimpsplitting = 0
% 0.86/1.27 usesimpdemod = 5
% 0.86/1.27 usesimpres = 3
% 0.86/1.27
% 0.86/1.27 resimpinuse = 1000
% 0.86/1.27 resimpclauses = 20000
% 0.86/1.27 substype = eqrewr
% 0.86/1.27 backwardsubs = 1
% 0.86/1.27 selectoldest = 5
% 0.86/1.27
% 0.86/1.27 litorderings [0] = split
% 0.86/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.27
% 0.86/1.27 termordering = kbo
% 0.86/1.27
% 0.86/1.27 litapriori = 0
% 0.86/1.27 termapriori = 1
% 0.86/1.27 litaposteriori = 0
% 0.86/1.27 termaposteriori = 0
% 0.86/1.27 demodaposteriori = 0
% 0.86/1.27 ordereqreflfact = 0
% 0.86/1.27
% 0.86/1.27 litselect = negord
% 0.86/1.27
% 0.86/1.27 maxweight = 15
% 0.86/1.27 maxdepth = 30000
% 0.86/1.27 maxlength = 115
% 0.86/1.27 maxnrvars = 195
% 0.86/1.27 excuselevel = 1
% 0.86/1.27 increasemaxweight = 1
% 0.86/1.27
% 0.86/1.27 maxselected = 10000000
% 0.86/1.27 maxnrclauses = 10000000
% 0.86/1.27
% 0.86/1.27 showgenerated = 0
% 0.86/1.27 showkept = 0
% 0.86/1.27 showselected = 0
% 0.86/1.27 showdeleted = 0
% 0.86/1.27 showresimp = 1
% 0.86/1.27 showstatus = 2000
% 0.86/1.27
% 0.86/1.27 prologoutput = 1
% 0.86/1.27 nrgoals = 5000000
% 0.86/1.27 totalproof = 1
% 0.86/1.27
% 0.86/1.27 Symbols occurring in the translation:
% 0.86/1.27
% 0.86/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.27 . [1, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.86/1.27 ! [4, 1] (w:0, o:84, a:1, s:1, b:0),
% 0.86/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.27 'c_Datatype_Oo2s' [42, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.86/1.27 'c_in' [43, 3] (w:1, o:230, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype_Ooption_OSome' [44, 2] (w:1, o:194, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype_Ooption_ONone' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Onot__None__eq__iff1__1' [46, 2] (w:1, o:205, a:1, s:1, b:0)
% 0.86/1.27 ,
% 0.86/1.27 'c_Main_Onot__Some__eq__iff1__1' [47, 2] (w:1, o:206, a:1, s:1, b:0)
% 0.86/1.27 ,
% 0.86/1.27 'c_Datatype__Universe_OAtom' [51, 3] (w:1, o:231, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype__Universe_OScons' [55, 4] (w:1, o:263, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype__Universe_OIn0' [56, 3] (w:1, o:232, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype__Universe_OIn1' [57, 3] (w:1, o:233, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype__Universe_OLeaf' [58, 3] (w:1, o:234, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype__Universe_ONumb' [60, 3] (w:1, o:235, a:1, s:1, b:0),
% 0.86/1.27 'c_0' [63, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.86/1.27 'tc_nat' [65, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.86/1.27 'c_Divides_Oop_Advd' [66, 3] (w:1, o:236, a:1, s:1, b:0),
% 0.86/1.27 'c_emptyset' [67, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.86/1.27 'c_Equiv__Relations_Oquotient' [70, 3] (w:1, o:238, a:1, s:1, b:0),
% 0.86/1.27 'c_Extraction_Osumbool_OLeft' [71, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.86/1.27 'c_Extraction_Osumbool_ORight' [72, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.86/1.27 'c_insert' [74, 3] (w:1, o:239, a:1, s:1, b:0),
% 0.86/1.27 'tc_set' [75, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.86/1.27 'c_minus' [76, 3] (w:1, o:242, a:1, s:1, b:0),
% 0.86/1.27 'c_Finite__Set_OFinites' [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.86/1.27 'c_Pow' [78, 2] (w:1, o:207, a:1, s:1, b:0),
% 0.86/1.27 'c_union' [81, 3] (w:1, o:244, a:1, s:1, b:0),
% 0.86/1.27 'c_Relation_Oconverse' [82, 3] (w:1, o:245, a:1, s:1, b:0),
% 0.86/1.27 'tc_prod' [83, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.86/1.27 'c_Pair' [85, 4] (w:1, o:264, a:1, s:1, b:0),
% 0.86/1.27 'c_GCD_Ogcd' [86, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.86/1.27 'c_UNIV' [87, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.86/1.27 'c_IntDef_Oint' [88, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.86/1.27 'tc_IntDef_Oint' [91, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.86/1.27 'c_uminus' [92, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Olist_ONil' [94, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.86/1.27 'tc_List_Olist' [95, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Olex' [96, 2] (w:1, o:195, a:1, s:1, b:0),
% 0.86/1.27 'c_append' [98, 3] (w:1, o:246, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Orev' [99, 2] (w:1, o:196, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Olist_OCons' [100, 3] (w:1, o:247, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Olists' [102, 2] (w:1, o:198, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Ochar_OChar' [106, 2] (w:1, o:199, a:1, s:1, b:0),
% 0.86/1.27 'c_Nat_Osize' [109, 2] (w:1, o:213, a:1, s:1, b:0),
% 0.86/1.27 'c_less' [110, 3] (w:1, o:240, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Oremdups' [111, 2] (w:1, o:200, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Oset' [114, 2] (w:1, o:201, a:1, s:1, b:0),
% 0.86/1.27 'c_Suc' [115, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.86/1.27 'c_lessequals' [116, 3] (w:1, o:241, a:1, s:1, b:0),
% 0.86/1.27 'c_plus' [117, 3] (w:1, o:248, a:1, s:1, b:0),
% 0.86/1.27 'c_1' [119, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.86/1.27 'c_Numeral_Obit_OB0' [121, 0] (w:1, o:56, a:1, s:1, b:0),
% 0.86/1.27 'c_Numeral_Obit_OB1' [122, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.86/1.27 'class_Orderings_Oorder' [123, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.86/1.27 'c_Relation_OId' [125, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.86/1.27 'c_Relation_OImage' [126, 4] (w:1, o:265, a:1, s:1, b:0),
% 0.86/1.27 'class_Orderings_Olinorder' [127, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.86/1.27 'c_SetInterval_OatLeast' [128, 2] (w:1, o:216, a:1, s:1, b:0),
% 0.86/1.27 'class_Orderings_Oord' [129, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.86/1.27 'c_SetInterval_OatMost' [130, 2] (w:1, o:217, a:1, s:1, b:0),
% 0.86/1.27 'c_SetInterval_OgreaterThan' [131, 2] (w:1, o:218, a:1, s:1, b:0),
% 0.86/1.27 'c_SetInterval_OlessThan' [132, 2] (w:1, o:219, a:1, s:1, b:0),
% 0.86/1.27 'c_inter' [134, 3] (w:1, o:249, a:1, s:1, b:0),
% 0.86/1.27 'c_Inter' [137, 2] (w:1, o:220, a:1, s:1, b:0),
% 0.86/1.27 'c_Union' [138, 2] (w:1, o:223, a:1, s:1, b:0),
% 0.86/1.27 'c_Sum__Type_OInl' [139, 3] (w:1, o:252, a:1, s:1, b:0),
% 0.86/1.27 'c_Sum__Type_OInr' [140, 3] (w:1, o:253, a:1, s:1, b:0),
% 0.86/1.27 'c_Wellfounded__Recursion_Oacyclic' [141, 2] (w:1, o:224, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 'c_Transitive__Closure_Ortrancl' [142, 2] (w:1, o:221, a:1, s:1, b:0)
% 0.86/1.27 ,
% 0.86/1.27 'c_Wellfounded__Recursion_Owf' [143, 2] (w:1, o:225, a:1, s:1, b:0),
% 0.86/1.27
% 0.86/1.27 'c_Wellfounded__Relations_Oless__than' [144, 0] (w:1, o:63, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 'c_Datatype__Universe_Odprod' [146, 4] (w:1, o:266, a:1, s:1, b:0),
% 0.86/1.27 'tc_Datatype__Universe_Onode' [147, 2] (w:1, o:226, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OdprodE__1' [148, 5] (w:1, o:284, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OdprodE__2' [149, 5] (w:1, o:285, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OdprodE__3' [150, 5] (w:1, o:286, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OdprodE__4' [151, 5] (w:1, o:287, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype__Universe_Odsum' [152, 4] (w:1, o:267, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OdsumE__1' [153, 4] (w:1, o:270, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OdsumE__2' [154, 4] (w:1, o:271, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OdsumE__3' [155, 4] (w:1, o:272, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OdsumE__4' [156, 4] (w:1, o:273, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype__Universe_Ouprod' [157, 4] (w:1, o:274, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OuprodE__1' [158, 5] (w:1, o:288, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OuprodE__2' [159, 5] (w:1, o:289, a:1, s:1, b:0),
% 0.86/1.27 'c_Datatype__Universe_Ousum' [161, 4] (w:1, o:275, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OusumE__1' [162, 4] (w:1, o:276, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OusumE__2' [163, 4] (w:1, o:277, a:1, s:1, b:0),
% 0.86/1.27 'c_times' [164, 3] (w:1, o:243, a:1, s:1, b:0),
% 0.86/1.27 'c_Divides_Oop_Amod' [166, 3] (w:1, o:237, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Omod__eq__0D__dest__1' [167, 2] (w:1, o:204, a:1, s:1, b:0),
% 0.86/1.27
% 0.86/1.27 'c_Main_Ofinite__Union__1' [168, 2] (w:1, o:210, a:1, s:1, b:0),
% 0.86/1.27 'c_Infinite__Set_Oatmost__one' [170, 2] (w:1, o:227, a:1, s:1, b:0),
% 0.86/1.27
% 0.86/1.27 'c_Main_Ozmod__eq__0D__dest__1' [171, 2] (w:1, o:211, a:1, s:1, b:0)
% 0.86/1.27 ,
% 0.86/1.27 'c_List_Odistinct' [172, 2] (w:1, o:202, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Oin__listsI__1' [174, 3] (w:1, o:254, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Olistrel' [175, 2] (w:1, o:197, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Olistrel__Cons1__1' [176, 5] (w:1, o:290, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Olistrel__Cons1__2' [177, 5] (w:1, o:291, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Olistrel__Cons2__1' [178, 5] (w:1, o:292, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Olistrel__Cons2__2' [179, 5] (w:1, o:293, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Olenlex' [181, 2] (w:1, o:203, a:1, s:1, b:0),
% 0.86/1.27 'c_Relation_ODomain' [182, 3] (w:1, o:250, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_ODomainE__1' [183, 4] (w:1, o:278, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OIdE__1' [185, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OImageE__1' [186, 5] (w:1, o:294, a:1, s:1, b:0),
% 0.86/1.27 'c_Relation_ORange' [187, 3] (w:1, o:251, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_ORangeE__1' [188, 4] (w:1, o:279, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OconverseE__1' [190, 4] (w:1, o:268, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OconverseE__2' [191, 4] (w:1, o:269, a:1, s:1, b:0),
% 0.86/1.27 'c_Relation_Odiag' [192, 2] (w:1, o:214, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OdiagE__1' [193, 3] (w:1, o:255, a:1, s:1, b:0),
% 0.86/1.27 'c_Relation_Orel__comp' [196, 5] (w:1, o:295, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Orel__compE__2' [197, 6] (w:1, o:297, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Orel__compE__3' [198, 6] (w:1, o:298, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_Orel__compE__1' [199, 6] (w:1, o:296, a:1, s:1, b:0),
% 0.86/1.27 'c_SetInterval_OatLeastAtMost' [200, 3] (w:1, o:256, a:1, s:1, b:0),
% 0.86/1.27
% 0.86/1.27 'c_SetInterval_OatLeastLessThan' [201, 3] (w:1, o:257, a:1, s:1, b:0)
% 0.86/1.27 ,
% 0.86/1.27 'c_SetInterval_OgreaterThanAtMost' [202, 3] (w:1, o:258, a:1, s:1, b:
% 0.86/1.27 0),
% 0.86/1.27 'c_SetInterval_OgreaterThanLessThan' [203, 3] (w:1, o:259, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 'c_Main_OInterI__1' [204, 3] (w:1, o:260, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OUnionE__1' [205, 3] (w:1, o:261, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OsubsetI__1' [206, 3] (w:1, o:262, a:1, s:1, b:0),
% 0.86/1.27 'c_Sum__Type_OPlus' [207, 4] (w:1, o:280, a:1, s:1, b:0),
% 0.86/1.27 'tc_sum' [208, 2] (w:1, o:228, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OPlusE__1' [209, 4] (w:1, o:281, a:1, s:1, b:0),
% 0.86/1.27 'c_Main_OPlusE__2' [210, 4] (w:1, o:282, a:1, s:1, b:0),
% 0.86/1.27 'c_Transitive__Closure_Otrancl' [211, 2] (w:1, o:222, a:1, s:1, b:0)
% 0.86/1.27 ,
% 0.86/1.27 'c_Relation_Otrans' [212, 2] (w:1, o:215, a:1, s:1, b:0),
% 0.86/1.27 'c_Wellfounded__Relations_Olex__prod' [215, 4] (w:1, o:283, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 'tc_Datatype_Ooption' [219, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.86/1.27 'class_Finite__Set_Ofinite' [220, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.86/1.27 'class_HOL_Ominus' [221, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.86/1.27 'class_HOL_Oone' [222, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Osemiring' [223, 1] (w:1, o:106, a:1, s:1, b:
% 0.86/1.27 0),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring' [224, 1] (w:1, o:109, a:1
% 0.86/1.27 , s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add' [225, 1] (w:1, o:110, a:1, s:
% 0.86/1.27 1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0' [226, 1] (w:1, o:111, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0' [227, 1] (w:1, o:112, a:1
% 0.86/1.27 , s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add' [228, 1] (w:1, o:113, a:
% 0.86/1.27 1, s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add' [229, 1] (w:1, o:114
% 0.86/1.27 , a:1, s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add' [230, 1] (w:1, o:115, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel' [231, 1] (w:1, o:116
% 0.86/1.27 , a:1, s:1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Oring' [232, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.86/1.27
% 0.86/1.27 'class_HOL_Oplus' [233, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [234, 1] (w:1, o:
% 0.86/1.27 118, a:1, s:1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring' [235, 1] (w:1, o:107, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1' [236, 1] (w:1, o:119, a:
% 0.86/1.27 1, s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult' [237, 1] (w:1, o:124, a:1, s:1, b:
% 0.86/1.27 0),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult' [238, 1] (w:1, o:125, a:1
% 0.86/1.27 , s:1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1' [239, 1] (w:1, o:126, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1' [240, 1] (w:1, o:127, a:1
% 0.86/1.27 , s:1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel' [241, 1] (w:1, o:128
% 0.86/1.27 , a:1, s:1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Oring__1' [242, 1] (w:1, o:105, a:1, s:1, b:0
% 0.86/1.27 ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [243, 1] (w:1, o:
% 0.86/1.27 129, a:1, s:1, b:0),
% 0.86/1.27 'class_HOL_Otimes' [244, 1] (w:1, o:130, a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Ocomm__ring__1' [245, 1] (w:1, o:108, a:1, s:
% 5.25/5.63 1, b:0),
% 5.25/5.63 'class_LOrder_Omeet__semilorder' [246, 1] (w:1, o:132, a:1, s:1, b:0)
% 5.25/5.63 ,
% 5.25/5.63 'class_LOrder_Ojoin__semilorder' [247, 1] (w:1, o:133, a:1, s:1, b:0)
% 5.25/5.63 ,
% 5.25/5.63 'class_LOrder_Olorder' [248, 1] (w:1, o:131, a:1, s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Opordered__ab__semigroup__add' [249, 1] (w:1, o:
% 5.25/5.63 135, a:1, s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [250, 1]
% 5.25/5.63 (w:1, o:136, a:1, s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [251, 1]
% 5.25/5.63 (w:1, o:137, a:1, s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [252, 1]
% 5.25/5.63 (w:1, o:134, a:1, s:1, b:0),
% 5.25/5.63 'class_HOL_Ozero' [253, 1] (w:1, o:138, a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Opordered__semiring' [254, 1] (w:1, o:146, a:
% 5.25/5.63 1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Opordered__cancel__semiring' [255, 1] (w:1
% 5.25/5.63 , o:147, a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Oordered__semiring__strict' [256, 1] (w:1, o:
% 5.25/5.63 140, a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Opordered__comm__semiring' [257, 1] (w:1, o:
% 5.25/5.63 149, a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [258, 1]
% 5.25/5.63 (w:1, o:150, a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Oordered__comm__semiring__strict' [259, 1]
% 5.25/5.63 (w:1, o:141, a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Oaxclass__abs__if' [260, 1] (w:1, o:151, a:1
% 5.25/5.63 , s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Opordered__ab__group__add' [261, 1] (w:1, o:152
% 5.25/5.63 , a:1, s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Olordered__ab__group' [262, 1] (w:1, o:120, a:1
% 5.25/5.63 , s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Opordered__ring' [263, 1] (w:1, o:145, a:1
% 5.25/5.63 , s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Olordered__ab__group__abs' [264, 1] (w:1, o:121
% 5.25/5.63 , a:1, s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Olordered__ab__group__meet' [265, 1] (w:1, o:122
% 5.25/5.63 , a:1, s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Olordered__ab__group__join' [266, 1] (w:1, o:123
% 5.25/5.63 , a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Olordered__ring' [267, 1] (w:1, o:153, a:1
% 5.25/5.63 , s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [268, 1] (w:1
% 5.25/5.63 , o:154, a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Oordered__ring__strict' [269, 1] (w:1, o:139
% 5.25/5.63 , a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Oordered__semidom' [270, 1] (w:1, o:142, a:1
% 5.25/5.63 , s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Oidom' [271, 1] (w:1, o:155, a:1, s:1, b:0),
% 5.25/5.63
% 5.25/5.63 'class_Ring__and__Field_Oordered__idom' [272, 1] (w:1, o:143, a:1, s:
% 5.25/5.63 1, b:0),
% 5.25/5.63 'class_Numeral_Onumber' [273, 1] (w:1, o:94, a:1, s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Osemigroup__add' [274, 1] (w:1, o:156, a:1, s:1
% 5.25/5.63 , b:0),
% 5.25/5.63 'class_Numeral_Onumber__ring' [275, 1] (w:1, o:95, a:1, s:1, b:0),
% 5.25/5.63 'class_Divides_Odiv' [276, 1] (w:1, o:157, a:1, s:1, b:0),
% 5.25/5.63 'class_Nat_Opower' [277, 1] (w:1, o:96, a:1, s:1, b:0),
% 5.25/5.63 'class_Power_Orecpower' [278, 1] (w:1, o:161, a:1, s:1, b:0),
% 5.25/5.63 'class_Parity_Oeven__odd' [279, 1] (w:1, o:162, a:1, s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Oab__semigroup__add' [280, 1] (w:1, o:158, a:1
% 5.25/5.63 , s:1, b:0),
% 5.25/5.63 'class_OrderedGroup_Osemigroup__mult' [281, 1] (w:1, o:159, a:1, s:1
% 5.25/5.63 , b:0),
% 5.25/5.63 'class_OrderedGroup_Oab__semigroup__mult' [282, 1] (w:1, o:160, a:1
% 5.25/5.63 , s:1, b:0),
% 5.25/5.63 'tc_Product__Type_Ounit' [283, 0] (w:1, o:76, a:1, s:1, b:0),
% 5.25/5.63 'tc_bool' [284, 0] (w:1, o:77, a:1, s:1, b:0),
% 5.25/5.63 'tc_fun' [286, 2] (w:1, o:229, a:1, s:1, b:0),
% 5.25/5.63 'class_Wellfounded__Recursion_Owellorder' [287, 1] (w:1, o:163, a:1
% 5.25/5.63 , s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Odivision__by__zero' [289, 1] (w:1, o:164, a:
% 5.25/5.63 1, s:1, b:0),
% 5.25/5.63 'class_HOL_Oinverse' [290, 1] (w:1, o:165, a:1, s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Ofield' [291, 1] (w:1, o:166, a:1, s:1, b:0)
% 5.25/5.63 ,
% 5.25/5.63 'class_Ring__and__Field_Oordered__field' [292, 1] (w:1, o:144, a:1
% 5.25/5.63 , s:1, b:0),
% 5.25/5.63 'class_Ring__and__Field_Opordered__comm__ring' [293, 1] (w:1, o:148
% 5.25/5.63 , a:1, s:1, b:0),
% 5.25/5.63 'v_D' [294, 0] (w:1, o:80, a:1, s:1, b:0),
% 13.01/13.44 'v_F' [295, 0] (w:1, o:81, a:1, s:1, b:0),
% 13.01/13.44 't_a' [296, 0] (w:1, o:82, a:1, s:1, b:0),
% 13.01/13.44 'v_x' [297, 1] (w:1, o:167, a:1, s:1, b:0).
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Starting Search:
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 3093
% 13.01/13.44 Kept: 2000
% 13.01/13.44 Inuse: 75
% 13.01/13.44 Deleted: 0
% 13.01/13.44 Deletedinuse: 0
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 8166
% 13.01/13.44 Kept: 4034
% 13.01/13.44 Inuse: 167
% 13.01/13.44 Deleted: 4
% 13.01/13.44 Deletedinuse: 0
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 13032
% 13.01/13.44 Kept: 6055
% 13.01/13.44 Inuse: 236
% 13.01/13.44 Deleted: 5
% 13.01/13.44 Deletedinuse: 0
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 19834
% 13.01/13.44 Kept: 8247
% 13.01/13.44 Inuse: 291
% 13.01/13.44 Deleted: 5
% 13.01/13.44 Deletedinuse: 0
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 25322
% 13.01/13.44 Kept: 10393
% 13.01/13.44 Inuse: 336
% 13.01/13.44 Deleted: 5
% 13.01/13.44 Deletedinuse: 0
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 31588
% 13.01/13.44 Kept: 12423
% 13.01/13.44 Inuse: 386
% 13.01/13.44 Deleted: 5
% 13.01/13.44 Deletedinuse: 0
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 36633
% 13.01/13.44 Kept: 14681
% 13.01/13.44 Inuse: 431
% 13.01/13.44 Deleted: 5
% 13.01/13.44 Deletedinuse: 0
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 42359
% 13.01/13.44 Kept: 16748
% 13.01/13.44 Inuse: 475
% 13.01/13.44 Deleted: 7
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 47289
% 13.01/13.44 Kept: 19014
% 13.01/13.44 Inuse: 505
% 13.01/13.44 Deleted: 7
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying clauses:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 52970
% 13.01/13.44 Kept: 21070
% 13.01/13.44 Inuse: 565
% 13.01/13.44 Deleted: 145
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 59257
% 13.01/13.44 Kept: 23286
% 13.01/13.44 Inuse: 615
% 13.01/13.44 Deleted: 145
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 64271
% 13.01/13.44 Kept: 25616
% 13.01/13.44 Inuse: 690
% 13.01/13.44 Deleted: 145
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 68075
% 13.01/13.44 Kept: 27638
% 13.01/13.44 Inuse: 720
% 13.01/13.44 Deleted: 145
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 74887
% 13.01/13.44 Kept: 30075
% 13.01/13.44 Inuse: 745
% 13.01/13.44 Deleted: 145
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 80422
% 13.01/13.44 Kept: 32145
% 13.01/13.44 Inuse: 790
% 13.01/13.44 Deleted: 145
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 87416
% 13.01/13.44 Kept: 34239
% 13.01/13.44 Inuse: 815
% 13.01/13.44 Deleted: 145
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 96614
% 13.01/13.44 Kept: 36312
% 13.01/13.44 Inuse: 835
% 13.01/13.44 Deleted: 145
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 104886
% 13.01/13.44 Kept: 38668
% 13.01/13.44 Inuse: 850
% 13.01/13.44 Deleted: 145
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying clauses:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 114033
% 13.01/13.44 Kept: 40933
% 13.01/13.44 Inuse: 875
% 13.01/13.44 Deleted: 169
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 120069
% 13.01/13.44 Kept: 43084
% 13.01/13.44 Inuse: 905
% 13.01/13.44 Deleted: 169
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 126707
% 13.01/13.44 Kept: 45399
% 13.01/13.44 Inuse: 960
% 13.01/13.44 Deleted: 169
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 133821
% 13.01/13.44 Kept: 47415
% 13.01/13.44 Inuse: 990
% 13.01/13.44 Deleted: 169
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 139264
% 13.01/13.44 Kept: 49541
% 13.01/13.44 Inuse: 1040
% 13.01/13.44 Deleted: 169
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 146598
% 13.01/13.44 Kept: 51855
% 13.01/13.44 Inuse: 1065
% 13.01/13.44 Deleted: 169
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 151225
% 13.01/13.44 Kept: 54008
% 13.01/13.44 Inuse: 1075
% 13.01/13.44 Deleted: 169
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 155823
% 13.01/13.44 Kept: 56013
% 13.01/13.44 Inuse: 1125
% 13.01/13.44 Deleted: 169
% 13.01/13.44 Deletedinuse: 1
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 160603
% 13.01/13.44 Kept: 58423
% 13.01/13.44 Inuse: 1165
% 13.01/13.44 Deleted: 170
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying clauses:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 165401
% 13.01/13.44 Kept: 60717
% 13.01/13.44 Inuse: 1200
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 170937
% 13.01/13.44 Kept: 62838
% 13.01/13.44 Inuse: 1235
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 175743
% 13.01/13.44 Kept: 64863
% 13.01/13.44 Inuse: 1280
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 179617
% 13.01/13.44 Kept: 67025
% 13.01/13.44 Inuse: 1295
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 183220
% 13.01/13.44 Kept: 69165
% 13.01/13.44 Inuse: 1300
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 187433
% 13.01/13.44 Kept: 71222
% 13.01/13.44 Inuse: 1318
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 194010
% 13.01/13.44 Kept: 73313
% 13.01/13.44 Inuse: 1325
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 198332
% 13.01/13.44 Kept: 75377
% 13.01/13.44 Inuse: 1336
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 202389
% 13.01/13.44 Kept: 77432
% 13.01/13.44 Inuse: 1346
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 206929
% 13.01/13.44 Kept: 79512
% 13.01/13.44 Inuse: 1355
% 13.01/13.44 Deleted: 305
% 13.01/13.44 Deletedinuse: 2
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying clauses:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Intermediate Status:
% 13.01/13.44 Generated: 211558
% 13.01/13.44 Kept: 81531
% 13.01/13.44 Inuse: 1365
% 13.01/13.44 Deleted: 513
% 13.01/13.44 Deletedinuse: 3
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44 Resimplifying inuse:
% 13.01/13.44 Done
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 Bliksems!, er is een bewijs:
% 13.01/13.44 % SZS status Unsatisfiable
% 13.01/13.44 % SZS output start Refutation
% 13.01/13.44
% 13.01/13.44 clause( 149, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 13.01/13.44 .
% 13.01/13.44 clause( 1328, [ 'c_in'( 'v_x'( X ), X, 'tc_set'( 't_a' ) ) ] )
% 13.01/13.44 .
% 13.01/13.44 clause( 83479, [] )
% 13.01/13.44 .
% 13.01/13.44
% 13.01/13.44
% 13.01/13.44 % SZS output end Refutation
% 13.01/13.44 found a proof!
% 13.01/13.44
% 13.01/13.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 13.01/13.44
% 13.01/13.44 initialclauses(
% 13.01/13.44 [ clause( 83481, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 13.01/13.44 'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 13.01/13.44 , clause( 83482, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'(
% 13.01/13.44 X, Y ), Y ), Y ) ] )
% 13.01/13.44 , clause( 83483, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 13.01/13.44 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83484, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 13.01/13.44 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83485, [ ~( =( 'c_Datatype_Ooption_ONone',
% 13.01/13.44 'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 13.01/13.44 , clause( 83486, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 13.01/13.44 'c_Datatype_Ooption_ONone' ) ) ] )
% 13.01/13.44 , clause( 83487, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 13.01/13.44 'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 13.01/13.44 , clause( 83488, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83489, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 13.01/13.44 , clause( 83490, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83491, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 13.01/13.44 , clause( 83492, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83493, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 13.01/13.44 , clause( 83494, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 13.01/13.44 , clause( 83495, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 13.01/13.44 , clause( 83496, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 13.01/13.44 , clause( 83497, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 13.01/13.44 , clause( 83498, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.01/13.44 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 13.01/13.44 , clause( 83499, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.01/13.44 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 13.01/13.44 , clause( 83500, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.01/13.44 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 13.01/13.44 , clause( 83501, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.01/13.44 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 13.01/13.44 , clause( 83502, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.01/13.44 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 13.01/13.44 , clause( 83503, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X,
% 13.01/13.44 'c_0' ) ] )
% 13.01/13.44 , clause( 83504, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83505, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 13.01/13.44 , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 13.01/13.44 , clause( 83506, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'(
% 13.01/13.44 'c_emptyset', X, Y ) ) ] )
% 13.01/13.44 , clause( 83507, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ),
% 13.01/13.44 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 13.01/13.44 , clause( 83508, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 13.01/13.44 , 'c_emptyset' ) ] )
% 13.01/13.44 , clause( 83509, [ ~( =( 'c_Extraction_Osumbool_OLeft',
% 13.01/13.44 'c_Extraction_Osumbool_ORight' ) ) ] )
% 13.01/13.44 , clause( 83510, [ ~( =( 'c_Extraction_Osumbool_ORight',
% 13.01/13.44 'c_Extraction_Osumbool_OLeft' ) ) ] )
% 13.01/13.44 , clause( 83511, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'(
% 13.01/13.44 T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 13.01/13.44 , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 13.01/13.44 , clause( 83512, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X,
% 13.01/13.44 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites',
% 13.01/13.44 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83513, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites',
% 13.01/13.44 'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites',
% 13.01/13.44 'tc_set'( Y ) ) ] )
% 13.01/13.44 , clause( 83514, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.01/13.44 ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'(
% 13.01/13.44 Y ) ) ) ] )
% 13.01/13.44 , clause( 83515, [ ~( 'c_in'( 'c_union'( X, Y, Z ),
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X,
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83516, [ ~( 'c_in'( 'c_union'( X, Y, Z ),
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y,
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83517, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.01/13.44 ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 13.01/13.44 'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 13.01/13.44 , clause( 83518, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X,
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 13.01/13.44 , clause( 83519, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 13.01/13.44 'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 13.01/13.44 , clause( 83520, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 13.01/13.44 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83521, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 13.01/13.44 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z,
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83522, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~(
% 13.01/13.44 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X,
% 13.01/13.44 'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83523, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'(
% 13.01/13.44 'tc_nat' ) ) ) ] )
% 13.01/13.44 , clause( 83524, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ),
% 13.01/13.44 =( X, Y ) ] )
% 13.01/13.44 , clause( 83525, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y,
% 13.01/13.44 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83526, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 13.01/13.44 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83527, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 13.01/13.44 , =( X, 'c_0' ) ] )
% 13.01/13.44 , clause( 83528, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83529, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 13.01/13.44 ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83530, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 13.01/13.44 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83531, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 13.01/13.44 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 13.01/13.44 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 13.01/13.44 , clause( 83532, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ),
% 13.01/13.44 =( X, 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83533, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ),
% 13.01/13.44 =( Y, 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83534, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 13.01/13.44 , 'c_List_Olist_ONil', X ) ) ] )
% 13.01/13.44 , clause( 83535, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ),
% 13.01/13.44 =( X, 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83536, [ =( 'c_List_Olist_ONil', 'c_List_Orev'(
% 13.01/13.44 'c_List_Olist_ONil', X ) ) ] )
% 13.01/13.44 , clause( 83537, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 13.01/13.44 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 13.01/13.44 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 13.01/13.44 , clause( 83538, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 13.01/13.44 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 13.01/13.44 'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83539, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 13.01/13.44 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 13.01/13.44 'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 13.01/13.44 , clause( 83540, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 13.01/13.44 ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 13.01/13.44 'tc_List_Olist'( Z ) ) ] )
% 13.01/13.44 , clause( 83541, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 13.01/13.44 ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 13.01/13.44 'tc_List_Olist'( Z ) ) ] )
% 13.01/13.44 , clause( 83542, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 13.01/13.44 Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 13.01/13.44 , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 13.01/13.44 Z ) ) ] )
% 13.01/13.44 , clause( 83543, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 13.01/13.44 =( X, 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83544, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 13.01/13.44 =( Y, 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83545, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 13.01/13.44 , X ), 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83546, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ),
% 13.01/13.44 =( X, T ) ] )
% 13.01/13.44 , clause( 83547, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X,
% 13.01/13.44 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83548, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 13.01/13.44 , clause( 83549, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y,
% 13.01/13.44 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83550, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 13.01/13.44 , clause( 83551, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 13.01/13.44 Z, T ) ) ), =( X, Z ) ] )
% 13.01/13.44 , clause( 83552, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 13.01/13.44 Z, T ) ) ), =( Y, T ) ] )
% 13.01/13.44 , clause( 83553, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 13.01/13.44 ), =( X, 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83554, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'(
% 13.01/13.44 X ) ), 'c_0' ) ] )
% 13.01/13.44 , clause( 83555, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 13.01/13.44 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83556, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 13.01/13.44 ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83557, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 13.01/13.44 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =(
% 13.01/13.44 'c_List_Oremdups'( X, Y ), X ) ] )
% 13.01/13.44 , clause( 83558, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 13.01/13.44 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 13.01/13.44 'tc_List_Olist'( Y ) ) ) ] )
% 13.01/13.44 , clause( 83559, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 13.01/13.44 ) ) ) ] )
% 13.01/13.44 , clause( 83560, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.01/13.44 'c_List_Olist_ONil' ) ) ] )
% 13.01/13.44 , clause( 83561, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.01/13.44 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83562, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.01/13.44 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 13.01/13.44 , clause( 83563, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 13.01/13.44 , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'(
% 13.01/13.44 Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 13.01/13.44 , clause( 83564, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 13.01/13.44 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 13.01/13.44 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 13.01/13.44 , clause( 83565, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ),
% 13.01/13.44 =( X, 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83566, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ),
% 13.01/13.44 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83567, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ),
% 13.01/13.44 =( X, Z ) ] )
% 13.01/13.44 , clause( 83568, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ),
% 13.01/13.44 =( Y, T ) ] )
% 13.01/13.44 , clause( 83569, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y,
% 13.01/13.44 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83570, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 13.01/13.44 , clause( 83571, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y,
% 13.01/13.44 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83572, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 13.01/13.44 , clause( 83573, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 13.01/13.44 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83574, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83575, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 13.01/13.44 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83576, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83577, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 13.01/13.44 , clause( 83578, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 13.01/13.44 ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83579, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 13.01/13.44 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83580, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 13.01/13.44 'c_less'( X, Y, 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83581, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 13.01/13.44 , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83582, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 13.01/13.44 , clause( 83583, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 13.01/13.44 , clause( 83584, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 13.01/13.44 ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83585, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 13.01/13.44 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83586, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 13.01/13.44 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83587, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83588, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83589, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 13.01/13.44 , clause( 83590, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83591, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83592, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 13.01/13.44 'c_0' ) ] )
% 13.01/13.44 , clause( 83593, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83594, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 13.01/13.44 , clause( 83595, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83596, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 13.01/13.44 , clause( 83597, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83598, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83599, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83600, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83601, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83602, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83603, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 13.01/13.44 ) ) ] )
% 13.01/13.44 , clause( 83604, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 13.01/13.44 , =( X, U ) ] )
% 13.01/13.44 , clause( 83605, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 13.01/13.44 , =( Y, W ) ] )
% 13.01/13.44 , clause( 83606, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId',
% 13.01/13.44 'tc_prod'( Y, Y ) ) ] )
% 13.01/13.44 , clause( 83607, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z,
% 13.01/13.44 'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y,
% 13.01/13.44 'tc_prod'( T, U ) ) ] )
% 13.01/13.44 , clause( 83608, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.01/13.44 ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 13.01/13.44 , Z, T ), T ) ] )
% 13.01/13.44 , clause( 83609, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ),
% 13.01/13.44 'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'(
% 13.01/13.44 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 13.01/13.44 , clause( 83610, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.01/13.44 ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ),
% 13.01/13.44 'tc_prod'( T, Z ) ) ] )
% 13.01/13.44 , clause( 83611, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 13.01/13.44 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 13.01/13.44 , clause( 83612, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 13.01/13.44 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ),
% 13.01/13.44 =( Y, Z ) ] )
% 13.01/13.44 , clause( 83613, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 13.01/13.44 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 13.01/13.44 , clause( 83614, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y,
% 13.01/13.44 Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 13.01/13.44 , clause( 83615, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 13.01/13.44 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 13.01/13.44 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 13.01/13.44 , clause( 83616, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 13.01/13.44 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 13.01/13.44 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 13.01/13.44 , clause( 83617, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 13.01/13.44 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =(
% 13.01/13.44 Y, Z ) ] )
% 13.01/13.44 , clause( 83618, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 13.01/13.44 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 13.01/13.44 , clause( 83619, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y,
% 13.01/13.44 Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 13.01/13.44 , clause( 83620, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 13.01/13.44 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 13.01/13.44 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 13.01/13.44 , clause( 83621, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 13.01/13.44 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ),
% 13.01/13.44 'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 13.01/13.44 , clause( 83622, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 13.01/13.44 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 13.01/13.44 ) ) ), =( Y, Z ) ] )
% 13.01/13.44 , clause( 83623, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 13.01/13.44 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 13.01/13.44 , clause( 83624, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 13.01/13.44 ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 13.01/13.44 , clause( 83625, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 13.01/13.44 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 13.01/13.44 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 13.01/13.44 , clause( 83626, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 13.01/13.44 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 13.01/13.44 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 13.01/13.44 , clause( 83627, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 13.01/13.44 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 13.01/13.44 , =( Y, Z ) ] )
% 13.01/13.44 , clause( 83628, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 13.01/13.44 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 13.01/13.44 , clause( 83629, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 13.01/13.44 ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 13.01/13.44 , clause( 83630, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 13.01/13.44 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 13.01/13.44 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 13.01/13.44 , clause( 83631, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 13.01/13.44 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 13.01/13.44 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 13.01/13.44 , clause( 83632, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 13.01/13.44 'tc_set'( Z ) ), Z ) ) ] )
% 13.01/13.44 , clause( 83633, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 13.01/13.44 ) ), Z ) ] )
% 13.01/13.44 , clause( 83634, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 13.01/13.44 'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 13.01/13.44 , clause( 83635, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ),
% 13.01/13.44 'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X,
% 13.01/13.44 'tc_set'( Y ) ) ] )
% 13.01/13.44 , clause( 83636, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 13.01/13.44 'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'(
% 13.01/13.44 Z ) ), 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83637, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y,
% 13.01/13.44 'tc_set'( Z ) ), Z ) ) ] )
% 13.01/13.44 , clause( 83638, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ),
% 13.01/13.44 'c_in'( X, Y, T ) ] )
% 13.01/13.44 , clause( 83639, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 13.01/13.44 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 13.01/13.44 , clause( 83640, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 13.01/13.44 , T ) ] )
% 13.01/13.44 , clause( 83641, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 13.01/13.44 , T ) ] )
% 13.01/13.44 , clause( 83642, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'(
% 13.01/13.44 X, 'c_inter'( T, Y, Z ), Z ) ] )
% 13.01/13.44 , clause( 83643, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 13.01/13.44 'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 13.01/13.44 , clause( 83644, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 13.01/13.44 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83645, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 13.01/13.44 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83646, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 13.01/13.44 , clause( 83647, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 13.01/13.44 , Z ) ] )
% 13.01/13.44 , clause( 83648, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 13.01/13.44 , Z ) ] )
% 13.01/13.44 , clause( 83649, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 13.01/13.44 , T ), 'c_in'( X, Y, T ) ] )
% 13.01/13.44 , clause( 83650, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X,
% 13.01/13.44 'c_emptyset' ) ] )
% 13.01/13.44 , clause( 83651, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y,
% 13.01/13.44 'c_emptyset' ) ] )
% 13.01/13.44 , clause( 83652, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ),
% 13.01/13.44 'c_emptyset' ) ] )
% 13.01/13.44 , clause( 83653, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 13.01/13.44 ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 13.01/13.44 , clause( 83654, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 13.01/13.44 , clause( 83655, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 13.01/13.44 , Z ) ] )
% 13.01/13.44 , clause( 83656, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 13.01/13.44 , clause( 83657, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 13.01/13.44 , T ), =( X, Y ) ] )
% 13.01/13.44 , clause( 83658, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 13.01/13.44 , clause( 83659, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 13.01/13.44 , Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83660, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 13.01/13.44 , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'(
% 13.01/13.44 Z ) ) ] )
% 13.01/13.44 , clause( 83661, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 13.01/13.44 'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 13.01/13.44 , Z ) ) ] )
% 13.01/13.44 , clause( 83662, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 13.01/13.44 , Y ) ) ), =( Z, X ) ] )
% 13.01/13.44 , clause( 83663, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 13.01/13.44 , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'(
% 13.01/13.44 Y ) ) ] )
% 13.01/13.44 , clause( 83664, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 13.01/13.44 'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 13.01/13.44 , Z ) ) ] )
% 13.01/13.44 , clause( 83665, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 13.01/13.44 T, Y, Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83666, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 13.01/13.44 T, Z, Y ) ) ) ] )
% 13.01/13.44 , clause( 83667, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 13.01/13.44 T, Y, Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83668, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 13.01/13.44 T, Z, Y ) ) ) ] )
% 13.01/13.44 , clause( 83669, [ ~( 'c_Wellfounded__Recursion_Oacyclic'(
% 13.01/13.44 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 13.01/13.44 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 13.01/13.44 , clause( 83670, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 13.01/13.44 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83671, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 13.01/13.44 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 13.01/13.44 'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 13.01/13.44 , clause( 83672, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 13.01/13.44 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'(
% 13.01/13.44 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 13.01/13.44 'tc_prod'( Z, Z ) ) ) ] )
% 13.01/13.44 , clause( 83673, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 13.01/13.44 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 13.01/13.44 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 13.01/13.44 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 13.01/13.44 , clause( 83674, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 13.01/13.44 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 13.01/13.44 'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 13.01/13.44 , clause( 83675, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 13.01/13.44 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 13.01/13.44 , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83676, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 13.01/13.44 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 13.01/13.44 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 13.01/13.44 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 13.01/13.44 , clause( 83677, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 13.01/13.44 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 13.01/13.44 ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83678, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 13.01/13.44 , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'(
% 13.01/13.44 'tc_nat', 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83679, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83680, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 13.01/13.44 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.01/13.44 , clause( 83681, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 13.01/13.44 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 13.01/13.44 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 13.01/13.44 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 13.01/13.44 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 13.01/13.44 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.01/13.44 , clause( 83682, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 13.01/13.44 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.01/13.44 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 13.01/13.44 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.01/13.44 , clause( 83683, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 13.01/13.44 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.01/13.44 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 13.01/13.44 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.01/13.44 , clause( 83684, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 13.01/13.44 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.01/13.44 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 13.01/13.44 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 13.01/13.44 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 13.01/13.44 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 13.01/13.44 , clause( 83685, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 13.01/13.44 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 13.01/13.44 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 13.01/13.44 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 13.01/13.44 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 13.01/13.44 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.01/13.44 , clause( 83686, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 13.01/13.44 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.01/13.44 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 13.01/13.44 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 13.01/13.44 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.01/13.44 , clause( 83687, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 13.01/13.44 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.01/13.44 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 13.01/13.44 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 13.01/13.44 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.01/13.44 , clause( 83688, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 13.01/13.44 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.01/13.44 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 13.01/13.44 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 13.01/13.44 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.01/13.44 , clause( 83689, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.01/13.44 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 13.01/13.44 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 13.01/13.44 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 13.01/13.44 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 13.01/13.44 , clause( 83690, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.01/13.44 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 13.01/13.44 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 13.01/13.44 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 13.01/13.44 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 13.01/13.44 , clause( 83691, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 13.01/13.44 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 13.01/13.44 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 13.01/13.44 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 13.01/13.44 , clause( 83692, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 13.01/13.44 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.01/13.44 'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 13.01/13.44 , clause( 83693, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 13.01/13.44 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.01/13.44 'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 13.01/13.44 , clause( 83694, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 13.01/13.44 Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 13.01/13.44 , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 13.01/13.44 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 13.01/13.44 , clause( 83695, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 13.01/13.44 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 13.01/13.44 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 13.01/13.44 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 13.01/13.44 ) ) ] )
% 13.01/13.44 , clause( 83696, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 13.01/13.44 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.01/13.44 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 13.01/13.44 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83697, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 13.01/13.44 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.01/13.44 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 13.01/13.44 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83698, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 13.01/13.44 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.01/13.44 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 13.01/13.44 , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 13.01/13.44 , clause( 83699, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 13.01/13.44 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 13.01/13.44 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 13.01/13.44 , clause( 83700, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 13.01/13.44 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 13.01/13.44 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 13.01/13.44 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 13.01/13.44 , clause( 83701, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83702, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83703, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ),
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83704, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ),
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83705, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 13.01/13.44 , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83706, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'(
% 13.01/13.44 X ) ) ] )
% 13.01/13.44 , clause( 83707, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.01/13.44 ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 13.01/13.44 ) ) ] )
% 13.01/13.44 , clause( 83708, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.01/13.44 ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83709, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.01/13.44 ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83710, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 13.01/13.44 'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X,
% 13.01/13.44 'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites',
% 13.01/13.44 'tc_set'( Y ) ) ] )
% 13.01/13.44 , clause( 83711, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 13.01/13.44 'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ),
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ),
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 13.01/13.44 , clause( 83712, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 13.01/13.44 'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83713, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 13.01/13.44 'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83714, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'(
% 13.01/13.44 Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 13.01/13.44 , clause( 83715, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ),
% 13.01/13.44 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83716, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 13.01/13.44 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83717, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83718, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83719, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y,
% 13.01/13.44 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83720, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X,
% 13.01/13.44 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83721, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ),
% 13.01/13.44 'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ),
% 13.01/13.44 'tc_IntDef_Oint' ) ) ] )
% 13.01/13.44 , clause( 83722, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 13.01/13.44 , clause( 83723, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 13.01/13.44 , 'tc_set'( Y ) ) ] )
% 13.01/13.44 , clause( 83724, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 13.01/13.44 Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83725, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 13.01/13.44 ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83726, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 13.01/13.44 , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 13.01/13.44 , clause( 83727, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 13.01/13.44 , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83728, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 13.01/13.44 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 13.01/13.44 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 13.01/13.44 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 13.01/13.44 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 13.01/13.44 , clause( 83729, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 13.01/13.44 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 13.01/13.44 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 13.01/13.44 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 13.01/13.44 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 13.01/13.44 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 13.01/13.44 , clause( 83730, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 13.01/13.44 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 13.01/13.44 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 13.01/13.44 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 13.01/13.44 'tc_prod'( Z, Z ) ) ] )
% 13.01/13.44 , clause( 83731, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 13.01/13.44 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 13.01/13.44 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 13.01/13.44 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 13.01/13.44 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 13.01/13.44 , clause( 83732, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 13.01/13.44 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 13.01/13.44 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 13.01/13.44 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 13.01/13.44 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 13.01/13.44 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 13.01/13.44 , clause( 83733, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 13.01/13.44 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 13.01/13.44 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 13.01/13.44 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 13.01/13.44 'tc_prod'( T, T ) ) ] )
% 13.01/13.44 , clause( 83734, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 13.01/13.44 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 13.01/13.44 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 13.01/13.44 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83735, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 13.01/13.44 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 13.01/13.44 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 13.01/13.44 'c_List_Olist_ONil' ) ] )
% 13.01/13.44 , clause( 83736, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.01/13.44 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y,
% 13.01/13.44 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 13.01/13.44 , clause( 83737, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.01/13.44 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 13.01/13.44 , clause( 83738, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 13.01/13.44 , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 13.01/13.44 , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 13.01/13.44 , clause( 83739, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ),
% 13.01/13.44 'tc_List_Olist'( Y ) ) ] )
% 13.01/13.44 , clause( 83740, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 13.01/13.44 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 13.01/13.44 Y ) ) ] )
% 13.01/13.44 , clause( 83741, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 13.01/13.44 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 13.01/13.44 ) ) ] )
% 13.01/13.44 , clause( 83742, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83743, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83744, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83745, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83746, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 13.01/13.44 , X ) ] )
% 13.01/13.44 , clause( 83747, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ),
% 13.01/13.44 'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y,
% 13.01/13.44 'tc_prod'( Z, T ) ) ] )
% 13.01/13.44 , clause( 83748, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.01/13.44 ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 13.01/13.44 , clause( 83749, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ),
% 13.01/13.44 =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 13.01/13.44 ) ) ] )
% 13.01/13.44 , clause( 83750, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 13.01/13.44 'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 13.01/13.44 , clause( 83751, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 13.01/13.44 'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y,
% 13.01/13.44 'tc_prod'( T, U ) ) ] )
% 13.01/13.44 , clause( 83752, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 13.01/13.44 ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 13.01/13.44 ), U ) ] )
% 13.01/13.44 , clause( 83753, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ),
% 13.01/13.44 'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y,
% 13.01/13.44 'tc_prod'( Z, T ) ) ] )
% 13.01/13.44 , clause( 83754, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.01/13.44 ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 13.01/13.44 , clause( 83755, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 13.01/13.44 'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 13.01/13.44 , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83756, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 13.01/13.44 'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 13.01/13.44 ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 13.01/13.44 , clause( 83757, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z,
% 13.01/13.44 Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ),
% 13.01/13.44 'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 13.01/13.44 , clause( 83758, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z,
% 13.01/13.44 Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 13.01/13.44 , clause( 83759, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 13.01/13.44 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 13.01/13.44 , clause( 83760, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 13.01/13.44 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 13.01/13.44 , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y,
% 13.01/13.44 'tc_prod'( T, U ) ) ] )
% 13.01/13.44 , clause( 83761, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 13.01/13.44 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 13.01/13.44 , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z,
% 13.01/13.44 'tc_prod'( W, T ) ) ] )
% 13.01/13.44 , clause( 83762, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 13.01/13.44 'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X,
% 13.01/13.44 T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 13.01/13.44 , clause( 83763, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.01/13.44 ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ),
% 13.01/13.44 'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 13.01/13.44 ), 'tc_prod'( V0, T ) ) ] )
% 13.01/13.44 , clause( 83764, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 13.01/13.44 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83765, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 13.01/13.44 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 13.01/13.44 ) ) ] )
% 13.01/13.44 , clause( 83766, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 13.01/13.44 ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83767, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 13.01/13.44 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 13.01/13.44 ) ) ] )
% 13.01/13.44 , clause( 83768, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83769, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 13.01/13.44 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83770, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 13.01/13.44 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 13.01/13.44 ) ) ] )
% 13.01/13.44 , clause( 83771, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 13.01/13.44 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83772, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 13.01/13.44 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 13.01/13.44 ) ) ] )
% 13.01/13.44 , clause( 83773, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 13.01/13.44 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.01/13.44 , clause( 83774, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'(
% 13.01/13.44 'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83775, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ),
% 13.01/13.44 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 13.01/13.44 , clause( 83776, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 13.01/13.44 , clause( 83777, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 13.01/13.44 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83778, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 13.01/13.44 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 13.01/13.44 , clause( 83779, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 13.01/13.44 , clause( 83780, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 13.01/13.44 Y, X, 'tc_set'( Z ) ) ) ] )
% 13.01/13.44 , clause( 83781, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 13.01/13.44 , Y, 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83782, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 13.01/13.44 , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 13.01/13.44 , clause( 83783, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ),
% 13.01/13.44 =( X, Y ) ] )
% 13.01/13.44 , clause( 83784, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 13.01/13.44 , clause( 83785, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z,
% 13.01/13.44 'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 13.01/13.44 , clause( 83786, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T,
% 13.01/13.44 'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 13.01/13.44 , clause( 83787, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 13.01/13.44 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83788, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 13.01/13.44 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 13.01/13.44 , clause( 83789, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 13.01/13.44 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 13.01/13.44 , clause( 83790, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 13.01/13.44 , clause( 83791, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 13.01/13.44 , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 13.01/13.44 , clause( 83792, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 13.01/13.44 , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 13.01/13.44 , clause( 83793, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 13.01/13.44 'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 13.01/13.44 , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 13.01/13.44 , T ), U, T ) ) ] )
% 13.01/13.44 , clause( 83794, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 13.01/13.44 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ),
% 13.01/13.44 =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 13.01/13.44 , clause( 83795, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 13.01/13.44 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ),
% 13.01/13.44 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 13.01/13.44 , clause( 83796, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 13.01/13.44 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ),
% 13.01/13.44 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 13.01/13.44 , clause( 83797, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 13.01/13.44 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 13.01/13.44 , clause( 83798, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 13.01/13.44 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 13.01/13.44 , clause( 83799, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 13.01/13.44 ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 13.01/13.44 , Z ), 'tc_prod'( Z, Z ) ) ] )
% 13.01/13.44 , clause( 83800, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 13.01/13.44 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 13.01/13.44 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 13.01/13.44 'tc_prod'( Z, Z ) ) ] )
% 13.01/13.44 , clause( 83801, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 13.01/13.44 , clause( 83802, [ 'c_Relation_Otrans'(
% 13.01/13.44 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83803, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'(
% 13.01/13.44 Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z,
% 13.01/13.44 X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 13.01/13.44 , clause( 83804, [ 'c_Wellfounded__Recursion_Owf'(
% 13.01/13.44 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83805, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 13.01/13.44 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 13.01/13.44 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83806, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 13.01/13.44 ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 13.01/13.44 , clause( 83807, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83808, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83809, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83810, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83811, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83812, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83813, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83814, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83815, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83816, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83817, [ 'class_Ring__and__Field_Osemiring__0__cancel'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83818, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83819, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83820, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83821, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83822, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83823, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83824, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83825, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83826, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83827, [ 'class_Ring__and__Field_Osemiring__1__cancel'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83828, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83829, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83830, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83831, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83832, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83833, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83834, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83835, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83836, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83837, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83838, [
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83839, [
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83840, [
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83841, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83842, [ 'class_Ring__and__Field_Opordered__semiring'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83843, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83844, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83845, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83846, [
% 13.01/13.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83847, [
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83848, [ 'class_Ring__and__Field_Oaxclass__abs__if'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83849, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83850, [ 'class_OrderedGroup_Olordered__ab__group'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83851, [ 'class_Ring__and__Field_Opordered__ring'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83852, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83853, [ 'class_OrderedGroup_Olordered__ab__group__abs'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83854, [ 'class_OrderedGroup_Olordered__ab__group__meet'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83855, [ 'class_OrderedGroup_Olordered__ab__group__join'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83856, [ 'class_Ring__and__Field_Olordered__ring'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83857, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83858, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83859, [ 'class_Ring__and__Field_Oordered__semidom'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83860, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83861, [ 'class_Ring__and__Field_Oordered__idom'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83862, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83863, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83864, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83865, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83866, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83867, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83868, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83869, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83870, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83871, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 13.01/13.44 'tc_IntDef_Oint' ) ] )
% 13.01/13.44 , clause( 83872, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83873, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 13.01/13.44 , clause( 83874, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 13.01/13.44 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83875, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 13.01/13.44 , clause( 83876, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83877, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83878, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83879, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83880, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83881, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83882, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83883, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83884, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83885, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83886, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83887, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83888, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83889, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83890, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83891, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83892, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83893, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83894, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83895, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83896, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83897, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83898, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83899, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83900, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 83901, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83902, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83903, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83904, [
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83905, [
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83906, [
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83907, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83908, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83909, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83910, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83911, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 13.01/13.44 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83912, [
% 13.01/13.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83913, [
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83914, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83915, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83916, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83917, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83918, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83919, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83920, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83921, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83922, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 13.01/13.44 )
% 13.01/13.44 , clause( 83923, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 13.01/13.44 , clause( 83924, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 13.01/13.44 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83925, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 13.01/13.44 , clause( 83926, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 13.01/13.44 , clause( 83927, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 13.01/13.44 , clause( 83928, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 13.01/13.44 'class_Finite__Set_Ofinite'( X ) ) ] )
% 13.01/13.44 , clause( 83929, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 13.01/13.44 , clause( 83930, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 13.01/13.44 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 83931, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 83932, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 83933, [ ~( 'class_LOrder_Olorder'( X ) ),
% 13.01/13.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.44 , clause( 83934, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'(
% 13.01/13.44 X ) ] )
% 13.01/13.44 , clause( 83935, [ ~( 'class_LOrder_Olorder'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 83936, [ ~( 'class_LOrder_Olorder'( X ) ),
% 13.01/13.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.44 , clause( 83937, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 83938, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 83939, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 83940, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83941, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 83942, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 83943, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 83944, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83945, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83946, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 83947, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 83948, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.44 , clause( 83949, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 83950, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.01/13.44 , clause( 83951, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83952, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 83953, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.44 , clause( 83954, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.44 , clause( 83955, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.44 , clause( 83956, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.44 , clause( 83957, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.01/13.44 , clause( 83958, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 83959, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.01/13.44 , clause( 83960, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 83961, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.01/13.44 , clause( 83962, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 83963, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Numeral_Onumber'( X ) ] )
% 13.01/13.44 , clause( 83964, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 83965, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 83966, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 83967, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 83968, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 83969, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 83970, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.01/13.44 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 83971, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 83972, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 83973, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83974, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83975, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 83976, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83977, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83978, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83979, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 83980, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 83981, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 83982, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83983, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83984, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 13.01/13.44 ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 83985, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83986, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83987, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 83988, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 83989, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83990, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 83991, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 83992, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.01/13.44 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 83993, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 83994, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 83995, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 83996, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.44 , clause( 83997, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.01/13.44 , clause( 83998, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 83999, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84000, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84001, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84002, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84003, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84004, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.44 , clause( 84005, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84006, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84007, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84008, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84009, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84010, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.44 , clause( 84011, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84012, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84013, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84014, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84015, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.01/13.44 , clause( 84016, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84017, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84018, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84019, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84020, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84021, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.44 , clause( 84022, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84023, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84024, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84025, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84026, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84027, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84028, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84029, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84030, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.44 , clause( 84031, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84032, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84033, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84034, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84035, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84036, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84037, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84038, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84039, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84040, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84041, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84042, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.01/13.44 , clause( 84043, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.44 , clause( 84044, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84045, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84046, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84047, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84048, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.44 , clause( 84049, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84050, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84051, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84052, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.01/13.44 ), 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84053, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84054, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84055, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84056, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84057, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84058, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84059, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84060, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84061, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.01/13.44 , clause( 84062, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.44 , clause( 84063, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84064, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84065, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84066, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84067, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.44 , clause( 84068, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84069, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84070, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84071, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.01/13.44 ), 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84072, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 13.01/13.44 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 84073, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84074, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84075, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84076, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84077, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.44 , clause( 84078, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84079, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84080, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.44 , clause( 84081, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84082, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84083, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84084, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84085, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84086, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84087, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84088, [ ~(
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_Orderings_Olinorder'( X ) ] )
% 13.01/13.44 , clause( 84089, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84090, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84091, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84092, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84093, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.44 , clause( 84094, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84095, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84096, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84097, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84098, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84099, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84100, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84101, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84102, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.01/13.44 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84103, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.01/13.44 ) ), 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84104, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.01/13.44 ) ), 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84105, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.01/13.44 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84106, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.01/13.44 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84107, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.01/13.44 ) ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84108, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84109, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84110, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84111, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84112, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84113, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84114, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84115, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84116, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84117, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84118, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84119, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84120, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84121, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84122, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84123, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84124, [ ~(
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84125, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84126, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84127, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.01/13.44 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.44 , clause( 84128, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.01/13.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84129, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.01/13.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84130, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84131, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84132, [ ~( 'class_Orderings_Oorder'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84133, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 84134, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 84135, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84136, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84137, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84138, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84139, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84140, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84141, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84142, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.44 , clause( 84143, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.01/13.44 , clause( 84144, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84145, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 13.01/13.44 ] )
% 13.01/13.44 , clause( 84146, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84147, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84148, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84149, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84150, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84151, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.44 , clause( 84152, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 84153, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84154, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84155, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 13.01/13.44 ) ] )
% 13.01/13.44 , clause( 84156, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84157, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84158, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84159, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 13.01/13.44 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 84160, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 13.01/13.44 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84161, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84162, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84163, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 13.01/13.44 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84164, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 13.01/13.44 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84165, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84166, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84167, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84168, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84169, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84170, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84171, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84172, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84173, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.44 , clause( 84174, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84175, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84176, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84177, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84178, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84179, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84180, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84181, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84182, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84183, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84184, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.01/13.44 , clause( 84185, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.44 , clause( 84186, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84187, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84188, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84189, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84190, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84191, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84192, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84193, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84194, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84195, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84196, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84197, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.01/13.44 , clause( 84198, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84199, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.44 , clause( 84200, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.44 , clause( 84201, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84202, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 84203, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.01/13.44 , clause( 84204, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84205, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84206, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84207, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84208, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84209, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84210, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84211, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84212, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84213, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84214, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84215, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84216, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84217, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84218, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84219, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84220, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84221, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84222, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84223, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84224, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84225, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84226, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84227, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84228, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84229, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84230, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84231, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84232, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84233, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84234, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84235, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84236, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84237, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84238, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84239, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84240, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84241, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84242, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84243, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84244, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84245, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84246, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.44 , clause( 84247, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84248, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84249, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84250, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84251, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84252, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84253, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84254, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.44 , clause( 84255, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 84256, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84257, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84258, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84259, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84260, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84261, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84262, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84263, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.01/13.44 , clause( 84264, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84265, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84266, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84267, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84268, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84269, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84270, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 84271, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84272, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84273, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84274, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84275, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84276, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84277, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84278, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84279, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84280, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84281, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.44 , clause( 84282, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.44 , clause( 84283, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84284, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84285, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.01/13.44 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84286, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84287, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 13.01/13.44 'class_HOL_Oinverse'( X ) ] )
% 13.01/13.44 , clause( 84288, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.01/13.44 , clause( 84289, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.01/13.44 , clause( 84290, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.44 , clause( 84291, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.44 , clause( 84292, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84293, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 84294, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84295, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84296, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84297, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84298, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84299, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84300, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.01/13.44 , clause( 84301, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84302, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84303, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84304, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84305, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84306, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84307, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84308, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84309, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84310, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84311, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.44 , clause( 84312, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_HOL_Oinverse'( X ) ] )
% 13.01/13.44 , clause( 84313, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oidom'( X ) ] )
% 13.01/13.44 , clause( 84314, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.01/13.44 , clause( 84315, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84316, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84317, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84318, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.01/13.44 , clause( 84319, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84320, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84321, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.01/13.44 , clause( 84322, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.01/13.44 , clause( 84323, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.44 , clause( 84324, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.44 , clause( 84325, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84326, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 84327, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84328, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84329, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84330, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84331, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84332, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84333, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.01/13.44 , clause( 84334, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84335, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84336, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84337, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84338, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84339, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84340, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84341, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84342, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84343, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84344, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.44 , clause( 84345, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.01/13.44 , clause( 84346, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84347, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84348, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84349, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.01/13.44 , clause( 84350, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84351, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84352, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 13.01/13.44 , clause( 84353, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.44 , clause( 84354, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84355, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84356, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84357, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84358, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84359, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84360, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84361, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84362, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84363, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84364, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84365, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84366, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84367, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84368, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84369, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 13.01/13.44 , clause( 84370, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.01/13.44 , clause( 84371, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.44 , clause( 84372, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84373, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84374, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 13.01/13.44 , clause( 84375, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.44 , clause( 84376, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 13.01/13.44 , clause( 84377, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_HOL_Ominus'( X ) ] )
% 13.01/13.44 , clause( 84378, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.44 , clause( 84379, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84380, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.01/13.44 , clause( 84381, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.44 , clause( 84382, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84383, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84384, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84385, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_HOL_Oplus'( X ) ] )
% 13.01/13.44 , clause( 84386, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_HOL_Ozero'( X ) ] )
% 13.01/13.44 , clause( 84387, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84388, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Orderings_Olinorder'( X ) ] )
% 13.01/13.44 , clause( 84389, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.44 , clause( 84390, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84391, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.44 , clause( 84392, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.44 , clause( 84393, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84394, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84395, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84396, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.44 , clause( 84397, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Orderings_Oord'( X ) ] )
% 13.01/13.44 , clause( 84398, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84399, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84400, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.01/13.44 , clause( 84401, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.01/13.44 , clause( 84402, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84403, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.44 , clause( 84404, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84405, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84406, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84407, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84408, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84409, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_HOL_Otimes'( X ) ] )
% 13.01/13.44 , clause( 84410, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84411, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84412, [ ~(
% 13.01/13.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.44 , clause( 84413, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ofield'( X ) ] )
% 13.01/13.44 , clause( 84414, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_HOL_Oinverse'( X ) ] )
% 13.01/13.44 , clause( 84415, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.01/13.44 , clause( 84416, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84417, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.44 , clause( 84418, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.44 , clause( 84419, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.44 , clause( 84420, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.44 , clause( 84421, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_HOL_Oone'( X ) ] )
% 13.01/13.44 , clause( 84422, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84423, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.44 , clause( 84424, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.44 , clause( 84425, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Oidom'( X ) ] )
% 13.01/13.44 , clause( 84426, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84427, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.44 , clause( 84428, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.44 , clause( 84429, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.44 , clause( 84430, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.44 , clause( 84431, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.44 , clause( 84432, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84433, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84434, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84435, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84436, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.01/13.45 , clause( 84437, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84438, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.01/13.45 , clause( 84439, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84440, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84441, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 13.01/13.45 , clause( 84442, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 13.01/13.45 , clause( 84443, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84444, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84445, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 13.01/13.45 , clause( 84446, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.01/13.45 , clause( 84447, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.01/13.45 , clause( 84448, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84449, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Orderings_Olinorder'( X ) ] )
% 13.01/13.45 , clause( 84450, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 13.01/13.45 , clause( 84451, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 13.01/13.45 , clause( 84452, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 13.01/13.45 , clause( 84453, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.01/13.45 , clause( 84454, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84455, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 13.01/13.45 , clause( 84456, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 13.01/13.45 , clause( 84457, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 13.01/13.45 , clause( 84458, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.01/13.45 , clause( 84459, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.01/13.45 , clause( 84460, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.45 , clause( 84461, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84462, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84463, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84464, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.45 , clause( 84465, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84466, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84467, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84468, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84469, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.45 , clause( 84470, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 13.01/13.45 , clause( 84471, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84472, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_HOL_Ominus'( X ) ] )
% 13.01/13.45 , clause( 84473, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.01/13.45 , clause( 84474, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.01/13.45 , clause( 84475, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.01/13.45 , clause( 84476, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.45 , clause( 84477, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.45 , clause( 84478, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.45 , clause( 84479, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_HOL_Oone'( X ) ] )
% 13.01/13.45 , clause( 84480, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84481, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.45 , clause( 84482, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84483, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84484, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84485, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84486, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.01/13.45 , clause( 84487, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84488, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84489, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84490, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84491, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84492, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84493, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84494, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84495, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84496, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84497, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.45 , clause( 84498, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 13.01/13.45 , clause( 84499, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.01/13.45 , clause( 84500, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84501, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Orderings_Olinorder'( X ) ] )
% 13.01/13.45 , clause( 84502, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.45 , clause( 84503, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84504, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84505, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.45 , clause( 84506, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84507, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84508, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84509, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.01/13.45 , clause( 84510, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84511, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84512, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84513, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84514, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84515, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 13.01/13.45 , clause( 84516, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 13.01/13.45 , clause( 84517, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 13.01/13.45 , clause( 84518, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 13.01/13.45 , clause( 84519, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_HOL_Ominus'( X ) ] )
% 13.01/13.45 , clause( 84520, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 13.01/13.45 , clause( 84521, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 13.01/13.45 , clause( 84522, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 13.01/13.45 , clause( 84523, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.01/13.45 , clause( 84524, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84525, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 13.01/13.45 , clause( 84526, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.01/13.45 , clause( 84527, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oidom'( X ) ] )
% 13.01/13.45 , clause( 84528, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.01/13.45 , clause( 84529, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.01/13.45 , clause( 84530, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.45 , clause( 84531, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.45 , clause( 84532, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.45 , clause( 84533, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84534, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84535, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84536, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84537, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84538, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84539, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.01/13.45 , clause( 84540, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84541, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Orderings_Olinorder'( X ) ] )
% 13.01/13.45 , clause( 84542, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.45 , clause( 84543, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84544, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_HOL_Ominus'( X ) ] )
% 13.01/13.45 , clause( 84545, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84546, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.45 , clause( 84547, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84548, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.01/13.45 , clause( 84549, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84550, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84551, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84552, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84553, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 13.01/13.45 , clause( 84554, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.01/13.45 , clause( 84555, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84556, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84557, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 13.01/13.45 , clause( 84558, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 13.01/13.45 , clause( 84559, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 13.01/13.45 , clause( 84560, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 13.01/13.45 , clause( 84561, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 13.01/13.45 , clause( 84562, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.01/13.45 , clause( 84563, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84564, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84565, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84566, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84567, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84568, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.01/13.45 ), 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84569, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.01/13.45 , clause( 84570, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.01/13.45 , clause( 84571, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84572, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84573, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84574, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84575, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84576, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84577, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84578, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84579, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84580, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84581, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.01/13.45 , clause( 84582, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84583, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84584, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84585, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84586, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 13.01/13.45 , clause( 84587, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.01/13.45 , clause( 84588, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84589, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Orderings_Olinorder'( X ) ] )
% 13.01/13.45 , clause( 84590, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.45 , clause( 84591, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84592, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.45 , clause( 84593, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84594, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.45 , clause( 84595, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84596, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84597, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.01/13.45 , clause( 84598, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84599, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84600, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84601, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84602, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84603, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.45 , clause( 84604, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.45 , clause( 84605, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.45 , clause( 84606, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_HOL_Oone'( X ) ] )
% 13.01/13.45 , clause( 84607, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84608, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.45 , clause( 84609, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84610, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84611, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 13.01/13.45 , clause( 84612, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.45 , clause( 84613, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84614, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84615, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 13.01/13.45 )
% 13.01/13.45 , clause( 84616, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 13.01/13.45 )
% 13.01/13.45 , clause( 84617, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84618, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84619, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84620, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84621, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84622, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84623, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84624, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.01/13.45 , clause( 84625, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84626, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84627, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84628, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84629, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84630, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84631, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84632, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 13.01/13.45 )
% 13.01/13.45 , clause( 84633, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84634, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.45 , clause( 84635, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84636, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84637, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84638, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84639, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84640, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84641, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84642, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84643, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84644, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.01/13.45 , clause( 84645, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84646, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84647, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84648, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84649, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84650, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84651, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84652, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84653, [ ~(
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84654, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84655, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84656, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84657, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84658, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84659, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84660, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84661, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84662, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84663, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84664, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84665, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84666, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84667, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84668, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84669, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.01/13.45 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84670, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.01/13.45 , clause( 84671, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.45 , clause( 84672, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84673, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84674, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84675, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84676, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84677, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84678, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84679, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84680, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84681, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84682, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84683, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84684, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84685, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84686, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84687, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84688, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_HOL_Ominus'( X ) ] )
% 13.01/13.45 , clause( 84689, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84690, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.45 , clause( 84691, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84692, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84693, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84694, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84695, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.01/13.45 , clause( 84696, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.01/13.45 , clause( 84697, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84698, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84699, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84700, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84701, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84702, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84703, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84704, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84705, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84706, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84707, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84708, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84709, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84710, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.01/13.45 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84711, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.45 , clause( 84712, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84713, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84714, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84715, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84716, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84717, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84718, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.01/13.45 , clause( 84719, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84720, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84721, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84722, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84723, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_HOL_Ominus'( X ) ] )
% 13.01/13.45 , clause( 84724, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.01/13.45 , clause( 84725, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84726, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.01/13.45 , clause( 84727, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84728, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84729, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84730, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84731, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84732, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84733, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84734, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84735, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84736, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84737, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84738, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84739, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84740, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84741, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84742, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84743, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84744, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84745, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84746, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84747, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84748, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84749, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84750, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84751, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84752, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84753, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84754, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84755, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84756, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84757, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_HOL_Ominus'( X ) ] )
% 13.01/13.45 , clause( 84758, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84759, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84760, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oring'( X ) ] )
% 13.01/13.45 , clause( 84761, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.01/13.45 , clause( 84762, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84763, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84764, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84765, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84766, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84767, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.45 , clause( 84768, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.45 , clause( 84769, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.45 , clause( 84770, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_HOL_Oone'( X ) ] )
% 13.01/13.45 , clause( 84771, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.01/13.45 , clause( 84772, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_HOL_Ominus'( X ) ] )
% 13.01/13.45 , clause( 84773, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84774, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84775, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84776, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84777, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84778, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84779, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84780, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84781, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84782, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84783, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84784, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84785, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84786, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84787, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84788, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84789, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84790, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84791, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84792, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84793, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84794, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84795, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84796, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84797, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84798, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84799, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84800, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84801, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84802, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84803, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84804, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.45 , clause( 84805, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84806, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84807, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.45 , clause( 84808, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_HOL_Oone'( X ) ] )
% 13.01/13.45 , clause( 84809, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84810, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84811, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84812, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84813, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84814, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84815, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.01/13.45 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84816, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.01/13.45 , clause( 84817, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.01/13.45 , clause( 84818, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_HOL_Oone'( X ) ] )
% 13.01/13.45 , clause( 84819, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.01/13.45 , clause( 84820, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_HOL_Otimes'( X ) ] )
% 13.01/13.45 , clause( 84821, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84822, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84823, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.01/13.45 , clause( 84824, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.01/13.45 , clause( 84825, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.01/13.45 , clause( 84826, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.01/13.45 , clause( 84827, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_HOL_Ozero'( X ) ] )
% 13.01/13.45 , clause( 84828, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84829, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.01/13.45 , clause( 84830, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_HOL_Oplus'( X ) ] )
% 13.01/13.45 , clause( 84831, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.01/13.45 , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.01/13.45 , clause( 84832, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.01/13.45 'class_Orderings_Oord'( X ) ] )
% 13.01/13.45 , clause( 84833, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.01/13.45 'class_Orderings_Oorder'( X ) ] )
% 13.01/13.45 , clause( 84834, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.01/13.45 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84835, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.01/13.45 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.01/13.45 , clause( 84836, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.01/13.45 'class_LOrder_Olorder'( X ) ] )
% 13.01/13.45 , clause( 84837, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.01/13.45 'class_Orderings_Olinorder'( X ) ] )
% 13.01/13.45 , clause( 84838, [ 'c_in'( 'v_D', 'v_F', 'tc_set'( 't_a' ) ) ] )
% 13.01/13.45 , clause( 84839, [ 'c_in'( 'v_x'( X ), X, 'tc_set'( 't_a' ) ) ] )
% 13.01/13.45 , clause( 84840, [ ~( 'c_lessequals'( 'v_x'( X ), Y, 'tc_set'( 't_a' ) ) )
% 13.01/13.45 , ~( 'c_in'( Y, 'v_F', 'tc_set'( 't_a' ) ) ) ] )
% 13.01/13.45 ] ).
% 13.01/13.45
% 13.01/13.45
% 13.01/13.45
% 13.01/13.45 subsumption(
% 13.01/13.45 clause( 149, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 13.01/13.45 , clause( 83654, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 13.01/13.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 13.01/13.45 )] ) ).
% 13.01/13.45
% 13.01/13.45
% 13.01/13.45 subsumption(
% 13.01/13.45 clause( 1328, [ 'c_in'( 'v_x'( X ), X, 'tc_set'( 't_a' ) ) ] )
% 13.01/13.45 , clause( 84839, [ 'c_in'( 'v_x'( X ), X, 'tc_set'( 't_a' ) ) ] )
% 13.01/13.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.01/13.45
% 13.01/13.45
% 13.01/13.45 resolution(
% 13.01/13.45 clause( 85198, [] )
% 13.01/13.45 , clause( 149, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 13.01/13.45 , 0, clause( 1328, [ 'c_in'( 'v_x'( X ), X, 'tc_set'( 't_a' ) ) ] )
% 13.01/13.45 , 0, substitution( 0, [ :=( X, 'v_x'( 'c_emptyset' ) ), :=( Y, 'tc_set'(
% 13.01/13.45 't_a' ) )] ), substitution( 1, [ :=( X, 'c_emptyset' )] )).
% 13.01/13.45
% 13.01/13.45
% 13.01/13.45 subsumption(
% 13.01/13.45 clause( 83479, [] )
% 13.01/13.45 , clause( 85198, [] )
% 13.01/13.45 , substitution( 0, [] ), permutation( 0, [] ) ).
% 13.01/13.45
% 13.01/13.45
% 13.01/13.45 end.
% 13.01/13.45
% 13.01/13.45 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 13.01/13.45
% 13.01/13.45 Memory use:
% 13.01/13.45
% 13.01/13.45 space for terms: 2373939
% 13.01/13.45 space for clauses: 4694009
% 13.01/13.45
% 13.01/13.45
% 13.01/13.45 clauses generated: 216334
% 13.01/13.45 clauses kept: 83480
% 13.01/13.45 clauses selected: 1400
% 13.01/13.45 clauses deleted: 513
% 13.01/13.45 clauses inuse deleted: 3
% 13.01/13.45
% 13.01/13.45 subsentry: 696809
% 13.01/13.45 literals s-matched: 446436
% 13.01/13.45 literals matched: 400557
% 13.01/13.45 full subsumption: 221039
% 13.01/13.45
% 13.01/13.45 checksum: 742419776
% 13.01/13.45
% 13.01/13.45
% 13.01/13.45 Bliksem ended
%------------------------------------------------------------------------------