TSTP Solution File: SET824-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET824-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:52:19 EDT 2022
% Result : Unsatisfiable 0.99s 1.43s
% Output : Refutation 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET824-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sat Jul 9 23:08:17 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.95/1.34 *** allocated 10000 integers for termspace/termends
% 0.95/1.34 *** allocated 10000 integers for clauses
% 0.95/1.34 *** allocated 10000 integers for justifications
% 0.95/1.34 *** allocated 15000 integers for termspace/termends
% 0.95/1.34 Bliksem 1.12
% 0.95/1.34
% 0.95/1.34
% 0.95/1.34 Automatic Strategy Selection
% 0.95/1.34
% 0.95/1.34 Clauses:
% 0.95/1.34 [
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 0.95/1.34 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 0.95/1.34 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 0.95/1.34 , Y ) ],
% 0.95/1.34 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.95/1.34 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.95/1.34 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.95/1.34 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 0.95/1.34 Z, Y ) ) ), =( X, Z ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.95/1.34 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.95/1.34 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.95/1.34 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.95/1.34 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.95/1.34 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 0.95/1.34 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.95/1.34 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 0.95/1.34 X, 'c_emptyset' ) ],
% 0.95/1.34 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 0.95/1.34 X, 'c_emptyset' ) ],
% 0.95/1.34 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 0.95/1.34 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 0.95/1.34 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 0.95/1.34 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 0.95/1.34 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.95/1.34 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.95/1.34 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.95/1.34 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 0.95/1.34 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 0.95/1.34 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.95/1.34 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 0.95/1.34 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 0.95/1.34 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.95/1.34 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 0.95/1.34 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.95/1.34 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.95/1.34 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 0.95/1.34 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 0.95/1.34 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 0.95/1.34 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.95/1.34 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.95/1.34 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.95/1.34 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.95/1.34 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.95/1.34 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.95/1.34 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 0.95/1.34 'c_List_Olist_ONil', X ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.95/1.34 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.95/1.34 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.95/1.34 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.95/1.34 Z ) ) ), =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.95/1.34 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.95/1.34 Z ) ) ), =( Y, U ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.95/1.34 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 0.95/1.34 'tc_List_Olist'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.95/1.34 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.95/1.34 'tc_List_Olist'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.95/1.34 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 0.95/1.34 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 0.95/1.34 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.95/1.34 =( X, Z ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.95/1.34 =( Y, T ) ],
% 0.95/1.34 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 0.95/1.34 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 0.95/1.34 , =( X, 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.95/1.34 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 0.95/1.34 Y ), X ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 0.95/1.34 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 0.95/1.34 'tc_List_Olist'( Y ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.95/1.34 ) ), =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.95/1.34 ) ), =( Y, U ) ],
% 0.95/1.34 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.95/1.34 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.95/1.34 'c_List_Olist_ONil', Y ), Y ) ) ],
% 0.95/1.34 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 0.95/1.34 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 0.95/1.34 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 0.95/1.34 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 0.95/1.34 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 0.95/1.34 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.34 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 0.95/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 0.95/1.34 'c_Suc'( Y ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 0.95/1.34 , 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 0.95/1.34 , 'tc_nat' ) ],
% 0.95/1.34 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 0.95/1.34 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 0.95/1.34 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 0.95/1.34 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 0.95/1.34 'tc_nat' ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 0.95/1.34 'tc_nat' ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 0.95/1.34 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.95/1.34 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 0.95/1.34 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.95/1.34 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.95/1.34 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.95/1.34 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 0.95/1.34 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 0.95/1.34 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 0.95/1.34 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.95/1.34 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 0.95/1.34 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.95/1.34 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.95/1.34 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 0.95/1.34 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.95/1.34 Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.95/1.34 ) ), =( X, Y ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 0.95/1.34 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.95/1.34 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.95/1.34 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.95/1.34 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 0.95/1.34 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.95/1.34 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 0.95/1.34 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 0.95/1.34 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.95/1.34 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.95/1.34 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.95/1.34 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 0.95/1.34 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.95/1.34 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 0.95/1.34 Z, X ), 'tc_set'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.95/1.34 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.95/1.34 ) ) ), =( Y, Z ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.95/1.34 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 0.95/1.34 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.95/1.34 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.95/1.34 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.95/1.34 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 0.95/1.34 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 0.95/1.34 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.95/1.34 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 0.95/1.34 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.95/1.34 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 0.95/1.34 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.95/1.34 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 0.95/1.34 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 0.95/1.34 Z ) ) ],
% 0.95/1.34 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 0.95/1.34 ), =( X, Z ) ],
% 0.95/1.34 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 0.95/1.34 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 0.95/1.34 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 0.95/1.34 , Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.95/1.34 , 'tc_set'( Z ) ), Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 0.95/1.34 T, Y, Z ), Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 0.95/1.34 ) ), 'c_in'( T, X, Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 0.95/1.34 , 'tc_set'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 0.95/1.34 , 'tc_set'( Z ) ) ],
% 0.95/1.34 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 0.95/1.34 X, Y, T ) ],
% 0.95/1.34 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 0.95/1.34 , 'c_Union'( T, Z ), Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.95/1.34 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 0.95/1.34 X, T ) ],
% 0.95/1.34 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 0.95/1.34 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.95/1.34 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 0.95/1.34 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 0.95/1.34 Z, X ) ],
% 0.95/1.34 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 0.95/1.34 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.95/1.34 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 0.95/1.34 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 0.95/1.34 , =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 0.95/1.34 , =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 0.95/1.34 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.95/1.34 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.95/1.34 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 0.95/1.34 T, Z ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.95/1.34 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.95/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.95/1.34 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 0.95/1.34 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.95/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.95/1.34 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.95/1.34 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.95/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.95/1.34 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 0.95/1.34 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.95/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 0.95/1.34 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.95/1.34 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 0.95/1.34 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 0.95/1.34 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.95/1.34 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.95/1.34 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 0.95/1.34 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 0.95/1.34 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 0.95/1.34 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.95/1.34 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.95/1.34 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.95/1.34 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.95/1.34 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.95/1.34 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 0.95/1.34 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 0.95/1.34 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.95/1.34 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.95/1.34 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.95/1.34 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.95/1.34 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.95/1.34 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.95/1.34 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.95/1.34 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.95/1.34 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.95/1.34 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.95/1.34 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.95/1.34 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.95/1.34 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.95/1.34 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.95/1.34 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.95/1.34 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.95/1.34 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.95/1.34 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.95/1.34 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.95/1.34 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.95/1.34 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.95/1.34 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 0.95/1.34 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 0.95/1.34 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 0.95/1.34 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.95/1.34 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.95/1.34 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 0.95/1.34 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.95/1.34 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 0.95/1.34 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 0.95/1.34 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.95/1.34 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.95/1.34 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.95/1.34 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.95/1.34 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 0.95/1.34 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.95/1.34 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 0.95/1.34 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.95/1.34 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 0.95/1.34 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 0.95/1.34 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 0.95/1.34 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.95/1.34 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.95/1.34 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.95/1.34 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.95/1.34 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 0.95/1.34 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.95/1.34 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 0.95/1.34 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 0.95/1.34 , 'tc_set'( Y ) ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.95/1.34 ) ), X, 'tc_nat' ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.95/1.34 ) ), Y, 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 0.95/1.34 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 0.95/1.34 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 0.95/1.34 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 0.95/1.34 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 0.95/1.34 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.95/1.34 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.95/1.34 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 0.95/1.34 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 0.95/1.34 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 0.95/1.34 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.95/1.34 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 0.95/1.34 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.95/1.34 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.95/1.34 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.95/1.34 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 0.95/1.34 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 0.95/1.34 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.95/1.34 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.95/1.34 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.95/1.34 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 0.95/1.34 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.95/1.34 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.95/1.34 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.95/1.34 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.95/1.34 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 0.95/1.34 'tc_prod'( Z, Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.95/1.34 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.95/1.34 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 0.95/1.34 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 0.95/1.34 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.95/1.34 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.95/1.34 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.95/1.34 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 0.95/1.34 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.95/1.34 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.95/1.34 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.95/1.34 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.95/1.34 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 0.95/1.34 'tc_prod'( T, T ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.95/1.34 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.95/1.34 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.95/1.34 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.95/1.34 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.95/1.34 'c_List_Olist_ONil' ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.95/1.34 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.95/1.34 'tc_List_Olist'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.95/1.34 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 0.95/1.34 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 0.95/1.34 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 0.95/1.34 Y ) ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.95/1.34 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 0.95/1.34 Y ) ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.95/1.34 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 0.95/1.34 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 0.95/1.34 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 0.95/1.34 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.95/1.34 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.95/1.34 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 0.95/1.34 T, U ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 0.95/1.34 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 0.95/1.34 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.95/1.34 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.95/1.34 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 0.95/1.34 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.95/1.34 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 0.95/1.34 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 0.95/1.34 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 0.95/1.34 , Z, Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.95/1.34 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 0.95/1.34 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.95/1.34 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 0.95/1.34 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.95/1.34 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.95/1.34 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.95/1.34 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.95/1.34 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 0.95/1.34 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 0.95/1.34 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 0.95/1.34 T ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 0.95/1.34 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 0.95/1.34 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 0.95/1.34 Z ), Y, 'tc_set'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 0.95/1.34 'c_Inter'( Y, Z ), Z ) ],
% 0.95/1.34 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.95/1.34 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 0.95/1.34 X, Y, Z ), Z ) ],
% 0.95/1.34 [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 0.95/1.34 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.95/1.34 'tc_set'( Z ) ) ) ],
% 0.95/1.34 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 0.95/1.34 Z ) ) ],
% 0.95/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'(
% 0.95/1.34 Z ) ), =( X, Y ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 0.95/1.34 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 0.95/1.34 ) ) ), =( X, Z ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 0.95/1.34 'c_in'( X, T, Z ) ],
% 0.95/1.34 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.95/1.34 , 'tc_set'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 0.95/1.34 X, Y, 'tc_set'( Z ) ) ],
% 0.95/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.95/1.34 'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.95/1.34 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ),
% 0.95/1.34 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ),
% 0.95/1.34 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.95/1.34 , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ),
% 0.95/1.34 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.95/1.34 , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 0.95/1.34 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.95/1.34 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 0.95/1.34 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 0.95/1.34 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.95/1.34 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 0.95/1.34 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 0.95/1.34 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.95/1.34 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.95/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.95/1.34 ), 'tc_prod'( Y, Y ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.95/1.34 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.95/1.34 'tc_prod'( Z, Z ) ) ],
% 0.95/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.95/1.34 , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.95/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.95/1.34 [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 0.95/1.34 [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ),
% 0.95/1.34 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 0.95/1.34 , 'tc_prod'( T, Y ) ) ],
% 0.95/1.34 [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 0.95/1.34 , 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 0.95/1.34 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 0.95/1.34 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~(
% 0.95/1.34 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.95/1.34 [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 0.95/1.34 ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 0.95/1.34 ) ],
% 0.95/1.34 [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 0.95/1.34 ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 0.95/1.34 ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 0.95/1.34 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.95/1.34 [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 0.95/1.34 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 0.95/1.34 [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.34 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 0.95/1.34 [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.95/1.34 ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 0.95/1.34 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 0.95/1.34 [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 0.95/1.34 [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 0.95/1.34 [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 0.95/1.34 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.95/1.34 [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 0.95/1.34 [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 0.95/1.34 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_HOL_Ominus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_HOL_Ominus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_HOL_Ominus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_HOL_Ominus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_Orderings_Olinorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_HOL_Ominus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.95/1.34 'class_HOL_Oone'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.95/1.34 'class_HOL_Ominus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 0.95/1.34 ],
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% 0.95/1.34 ],
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% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 0.95/1.34 ) ],
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% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 0.95/1.34 ) ],
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% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
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% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_HOL_Oone'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_HOL_Oone'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.34 'class_HOL_Oinverse'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oidom'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Orderings_Olinorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ofield'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_HOL_Oinverse'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oidom'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Orderings_Olinorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Orderings_Olinorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oidom'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Orderings_Olinorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Ominus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Orderings_Olinorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_Orderings_Olinorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_LOrder_Olorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_HOL_Ominus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.95/1.34 X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_Orderings_Oorder'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_Orderings_Oord'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Otimes'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Oplus'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_HOL_Ozero'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.34 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Oring'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_HOL_Otimes'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_HOL_Oplus'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_HOL_Ozero'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_HOL_Oone'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_HOL_Otimes'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_HOL_Ozero'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_HOL_Oplus'( X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.95/1.35 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.95/1.35 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.95/1.35 'class_Orderings_Oord'( X ) ],
% 0.95/1.35 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.95/1.35 'class_Orderings_Oorder'( X ) ],
% 0.95/1.35 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.95/1.35 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.95/1.35 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.95/1.35 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.95/1.35 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.95/1.35 'class_LOrder_Olorder'( X ) ],
% 0.95/1.35 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.95/1.35 'class_Orderings_Olinorder'( X ) ],
% 0.95/1.35 [ 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ]
% 0.95/1.35 ] .
% 0.95/1.35
% 0.95/1.35
% 0.95/1.35 percentage equality = 0.074668, percentage horn = 0.979351
% 0.95/1.35 This is a problem with some equality
% 0.95/1.35
% 0.95/1.35
% 0.95/1.35
% 0.95/1.35 Options Used:
% 0.95/1.35
% 0.95/1.35 useres = 1
% 0.95/1.35 useparamod = 1
% 0.95/1.35 useeqrefl = 1
% 0.95/1.35 useeqfact = 1
% 0.95/1.35 usefactor = 1
% 0.95/1.35 usesimpsplitting = 0
% 0.95/1.35 usesimpdemod = 5
% 0.95/1.35 usesimpres = 3
% 0.95/1.35
% 0.95/1.35 resimpinuse = 1000
% 0.95/1.35 resimpclauses = 20000
% 0.95/1.35 substype = eqrewr
% 0.95/1.35 backwardsubs = 1
% 0.95/1.35 selectoldest = 5
% 0.95/1.35
% 0.95/1.35 litorderings [0] = split
% 0.95/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.95/1.35
% 0.95/1.35 termordering = kbo
% 0.95/1.35
% 0.95/1.35 litapriori = 0
% 0.95/1.35 termapriori = 1
% 0.95/1.35 litaposteriori = 0
% 0.95/1.35 termaposteriori = 0
% 0.95/1.35 demodaposteriori = 0
% 0.95/1.35 ordereqreflfact = 0
% 0.95/1.35
% 0.95/1.35 litselect = negord
% 0.95/1.35
% 0.95/1.35 maxweight = 15
% 0.95/1.35 maxdepth = 30000
% 0.95/1.35 maxlength = 115
% 0.95/1.35 maxnrvars = 195
% 0.95/1.35 excuselevel = 1
% 0.95/1.35 increasemaxweight = 1
% 0.95/1.35
% 0.95/1.35 maxselected = 10000000
% 0.95/1.35 maxnrclauses = 10000000
% 0.95/1.35
% 0.95/1.35 showgenerated = 0
% 0.95/1.35 showkept = 0
% 0.95/1.35 showselected = 0
% 0.95/1.35 showdeleted = 0
% 0.95/1.35 showresimp = 1
% 0.95/1.35 showstatus = 2000
% 0.95/1.35
% 0.95/1.35 prologoutput = 1
% 0.95/1.35 nrgoals = 5000000
% 0.95/1.35 totalproof = 1
% 0.95/1.35
% 0.95/1.35 Symbols occurring in the translation:
% 0.95/1.35
% 0.95/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.95/1.35 . [1, 2] (w:1, o:164, a:1, s:1, b:0),
% 0.95/1.35 ! [4, 1] (w:0, o:81, a:1, s:1, b:0),
% 0.95/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.35 'c_Datatype_Oo2s' [42, 2] (w:1, o:189, a:1, s:1, b:0),
% 0.95/1.35 'c_in' [43, 3] (w:1, o:226, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype_Ooption_OSome' [44, 2] (w:1, o:190, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype_Ooption_ONone' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_Onot__None__eq__iff1__1' [46, 2] (w:1, o:201, a:1, s:1, b:0)
% 0.95/1.35 ,
% 0.95/1.35 'c_Main_Onot__Some__eq__iff1__1' [47, 2] (w:1, o:202, a:1, s:1, b:0)
% 0.95/1.35 ,
% 0.95/1.35 'c_Datatype__Universe_OAtom' [51, 3] (w:1, o:227, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype__Universe_OScons' [55, 4] (w:1, o:259, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype__Universe_OIn0' [56, 3] (w:1, o:228, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype__Universe_OIn1' [57, 3] (w:1, o:229, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype__Universe_OLeaf' [58, 3] (w:1, o:230, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype__Universe_ONumb' [60, 3] (w:1, o:231, a:1, s:1, b:0),
% 0.95/1.35 'c_0' [63, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.95/1.35 'tc_nat' [65, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.95/1.35 'c_Divides_Oop_Advd' [66, 3] (w:1, o:232, a:1, s:1, b:0),
% 0.95/1.35 'c_emptyset' [67, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.95/1.35 'c_Equiv__Relations_Oquotient' [70, 3] (w:1, o:234, a:1, s:1, b:0),
% 0.95/1.35 'c_Extraction_Osumbool_OLeft' [71, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.95/1.35 'c_Extraction_Osumbool_ORight' [72, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.95/1.35 'c_insert' [74, 3] (w:1, o:235, a:1, s:1, b:0),
% 0.95/1.35 'tc_set' [75, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.95/1.35 'c_minus' [76, 3] (w:1, o:238, a:1, s:1, b:0),
% 0.95/1.35 'c_Finite__Set_OFinites' [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.95/1.35 'c_Pow' [78, 2] (w:1, o:203, a:1, s:1, b:0),
% 0.95/1.35 'c_union' [81, 3] (w:1, o:240, a:1, s:1, b:0),
% 0.95/1.35 'c_Relation_Oconverse' [82, 3] (w:1, o:241, a:1, s:1, b:0),
% 0.95/1.35 'tc_prod' [83, 2] (w:1, o:204, a:1, s:1, b:0),
% 0.95/1.35 'c_Pair' [85, 4] (w:1, o:260, a:1, s:1, b:0),
% 0.95/1.35 'c_GCD_Ogcd' [86, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.95/1.35 'c_UNIV' [87, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.95/1.35 'c_IntDef_Oint' [88, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.95/1.35 'tc_IntDef_Oint' [91, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.95/1.35 'c_uminus' [92, 2] (w:1, o:205, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Olist_ONil' [94, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.95/1.35 'tc_List_Olist' [95, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Olex' [96, 2] (w:1, o:191, a:1, s:1, b:0),
% 0.95/1.35 'c_append' [98, 3] (w:1, o:242, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Orev' [99, 2] (w:1, o:192, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Olist_OCons' [100, 3] (w:1, o:243, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Olists' [102, 2] (w:1, o:194, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Ochar_OChar' [106, 2] (w:1, o:195, a:1, s:1, b:0),
% 0.95/1.35 'c_Nat_Osize' [109, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.95/1.35 'c_less' [110, 3] (w:1, o:236, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Oremdups' [111, 2] (w:1, o:196, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Oset' [114, 2] (w:1, o:197, a:1, s:1, b:0),
% 0.95/1.35 'c_Suc' [115, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.95/1.35 'c_lessequals' [116, 3] (w:1, o:237, a:1, s:1, b:0),
% 0.95/1.35 'c_plus' [117, 3] (w:1, o:244, a:1, s:1, b:0),
% 0.95/1.35 'c_1' [119, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.95/1.35 'c_Numeral_Obit_OB0' [121, 0] (w:1, o:56, a:1, s:1, b:0),
% 0.95/1.35 'c_Numeral_Obit_OB1' [122, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.95/1.35 'class_Orderings_Oorder' [123, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.95/1.35 'c_Relation_OId' [125, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.95/1.35 'c_Relation_OImage' [126, 4] (w:1, o:261, a:1, s:1, b:0),
% 0.95/1.35 'class_Orderings_Olinorder' [127, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.95/1.35 'c_SetInterval_OatLeast' [128, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.95/1.35 'class_Orderings_Oord' [129, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.95/1.35 'c_SetInterval_OatMost' [130, 2] (w:1, o:213, a:1, s:1, b:0),
% 0.95/1.35 'c_SetInterval_OgreaterThan' [131, 2] (w:1, o:214, a:1, s:1, b:0),
% 0.95/1.35 'c_SetInterval_OlessThan' [132, 2] (w:1, o:215, a:1, s:1, b:0),
% 0.95/1.35 'c_inter' [134, 3] (w:1, o:245, a:1, s:1, b:0),
% 0.95/1.35 'c_Inter' [137, 2] (w:1, o:216, a:1, s:1, b:0),
% 0.95/1.35 'c_Union' [138, 2] (w:1, o:219, a:1, s:1, b:0),
% 0.95/1.35 'c_Sum__Type_OInl' [139, 3] (w:1, o:248, a:1, s:1, b:0),
% 0.95/1.35 'c_Sum__Type_OInr' [140, 3] (w:1, o:249, a:1, s:1, b:0),
% 0.95/1.35 'c_Wellfounded__Recursion_Oacyclic' [141, 2] (w:1, o:220, a:1, s:1
% 0.95/1.35 , b:0),
% 0.95/1.35 'c_Transitive__Closure_Ortrancl' [142, 2] (w:1, o:217, a:1, s:1, b:0)
% 0.95/1.35 ,
% 0.95/1.35 'c_Wellfounded__Recursion_Owf' [143, 2] (w:1, o:221, a:1, s:1, b:0),
% 0.95/1.35
% 0.95/1.35 'c_Wellfounded__Relations_Oless__than' [144, 0] (w:1, o:63, a:1, s:1
% 0.95/1.35 , b:0),
% 0.95/1.35 'c_Datatype__Universe_Odprod' [146, 4] (w:1, o:262, a:1, s:1, b:0),
% 0.95/1.35 'tc_Datatype__Universe_Onode' [147, 2] (w:1, o:222, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OdprodE__1' [148, 5] (w:1, o:280, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OdprodE__2' [149, 5] (w:1, o:281, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OdprodE__3' [150, 5] (w:1, o:282, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OdprodE__4' [151, 5] (w:1, o:283, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype__Universe_Odsum' [152, 4] (w:1, o:263, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OdsumE__1' [153, 4] (w:1, o:266, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OdsumE__2' [154, 4] (w:1, o:267, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OdsumE__3' [155, 4] (w:1, o:268, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OdsumE__4' [156, 4] (w:1, o:269, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype__Universe_Ouprod' [157, 4] (w:1, o:270, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OuprodE__1' [158, 5] (w:1, o:284, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OuprodE__2' [159, 5] (w:1, o:285, a:1, s:1, b:0),
% 0.95/1.35 'c_Datatype__Universe_Ousum' [161, 4] (w:1, o:271, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OusumE__1' [162, 4] (w:1, o:272, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OusumE__2' [163, 4] (w:1, o:273, a:1, s:1, b:0),
% 0.95/1.35 'c_times' [164, 3] (w:1, o:239, a:1, s:1, b:0),
% 0.95/1.35 'c_Divides_Oop_Amod' [166, 3] (w:1, o:233, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_Omod__eq__0D__dest__1' [167, 2] (w:1, o:200, a:1, s:1, b:0),
% 0.95/1.35
% 0.95/1.35 'c_Main_Ofinite__Union__1' [168, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.95/1.35 'c_Infinite__Set_Oatmost__one' [170, 2] (w:1, o:223, a:1, s:1, b:0),
% 0.95/1.35
% 0.95/1.35 'c_Main_Ozmod__eq__0D__dest__1' [171, 2] (w:1, o:207, a:1, s:1, b:0)
% 0.95/1.35 ,
% 0.95/1.35 'c_List_Odistinct' [172, 2] (w:1, o:198, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_Oin__listsI__1' [174, 3] (w:1, o:250, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Olistrel' [175, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_Olistrel__Cons1__1' [176, 5] (w:1, o:286, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_Olistrel__Cons1__2' [177, 5] (w:1, o:287, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_Olistrel__Cons2__1' [178, 5] (w:1, o:288, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_Olistrel__Cons2__2' [179, 5] (w:1, o:289, a:1, s:1, b:0),
% 0.95/1.35 'c_List_Olenlex' [181, 2] (w:1, o:199, a:1, s:1, b:0),
% 0.95/1.35 'c_Relation_ODomain' [182, 3] (w:1, o:246, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_ODomainE__1' [183, 4] (w:1, o:274, a:1, s:1, b:0),
% 0.95/1.35 'c_Main_OIdE__1' [185, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_OImageE__1' [186, 5] (w:1, o:290, a:1, s:1, b:0),
% 0.99/1.38 'c_Relation_ORange' [187, 3] (w:1, o:247, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_ORangeE__1' [188, 4] (w:1, o:275, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_OconverseE__1' [190, 4] (w:1, o:264, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_OconverseE__2' [191, 4] (w:1, o:265, a:1, s:1, b:0),
% 0.99/1.38 'c_Relation_Odiag' [192, 2] (w:1, o:210, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_OdiagE__1' [193, 3] (w:1, o:251, a:1, s:1, b:0),
% 0.99/1.38 'c_Relation_Orel__comp' [196, 5] (w:1, o:291, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_Orel__compE__2' [197, 6] (w:1, o:293, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_Orel__compE__3' [198, 6] (w:1, o:294, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_Orel__compE__1' [199, 6] (w:1, o:292, a:1, s:1, b:0),
% 0.99/1.38 'c_SetInterval_OatLeastAtMost' [200, 3] (w:1, o:252, a:1, s:1, b:0),
% 0.99/1.38
% 0.99/1.38 'c_SetInterval_OatLeastLessThan' [201, 3] (w:1, o:253, a:1, s:1, b:0)
% 0.99/1.38 ,
% 0.99/1.38 'c_SetInterval_OgreaterThanAtMost' [202, 3] (w:1, o:254, a:1, s:1, b:
% 0.99/1.38 0),
% 0.99/1.38 'c_SetInterval_OgreaterThanLessThan' [203, 3] (w:1, o:255, a:1, s:1
% 0.99/1.38 , b:0),
% 0.99/1.38 'c_Main_OInterI__1' [204, 3] (w:1, o:256, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_OUnionE__1' [205, 3] (w:1, o:257, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_OsubsetI__1' [206, 3] (w:1, o:258, a:1, s:1, b:0),
% 0.99/1.38 'c_Sum__Type_OPlus' [207, 4] (w:1, o:276, a:1, s:1, b:0),
% 0.99/1.38 'tc_sum' [208, 2] (w:1, o:224, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_OPlusE__1' [209, 4] (w:1, o:277, a:1, s:1, b:0),
% 0.99/1.38 'c_Main_OPlusE__2' [210, 4] (w:1, o:278, a:1, s:1, b:0),
% 0.99/1.38 'c_Transitive__Closure_Otrancl' [211, 2] (w:1, o:218, a:1, s:1, b:0)
% 0.99/1.38 ,
% 0.99/1.38 'c_Relation_Otrans' [212, 2] (w:1, o:211, a:1, s:1, b:0),
% 0.99/1.38 'c_Wellfounded__Relations_Olex__prod' [215, 4] (w:1, o:279, a:1, s:1
% 0.99/1.38 , b:0),
% 0.99/1.38 'tc_Datatype_Ooption' [219, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.99/1.38 'class_Finite__Set_Ofinite' [220, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.99/1.38 'class_HOL_Ominus' [221, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.99/1.38 'class_HOL_Oone' [222, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.99/1.38 'class_Ring__and__Field_Osemiring' [223, 1] (w:1, o:103, a:1, s:1, b:
% 0.99/1.38 0),
% 0.99/1.38 'class_Ring__and__Field_Ocomm__semiring' [224, 1] (w:1, o:106, a:1
% 0.99/1.38 , s:1, b:0),
% 0.99/1.38 'class_OrderedGroup_Ocomm__monoid__add' [225, 1] (w:1, o:107, a:1, s:
% 0.99/1.38 1, b:0),
% 0.99/1.38 'class_Ring__and__Field_Osemiring__0' [226, 1] (w:1, o:108, a:1, s:1
% 0.99/1.38 , b:0),
% 0.99/1.38 'class_Ring__and__Field_Ocomm__semiring__0' [227, 1] (w:1, o:109, a:1
% 0.99/1.38 , s:1, b:0),
% 0.99/1.38 'class_OrderedGroup_Ocancel__semigroup__add' [228, 1] (w:1, o:110, a:
% 0.99/1.38 1, s:1, b:0),
% 0.99/1.38 'class_OrderedGroup_Ocancel__ab__semigroup__add' [229, 1] (w:1, o:111
% 0.99/1.38 , a:1, s:1, b:0),
% 0.99/1.38 'class_OrderedGroup_Oab__group__add' [230, 1] (w:1, o:112, a:1, s:1
% 0.99/1.38 , b:0),
% 0.99/1.38 'class_Ring__and__Field_Osemiring__0__cancel' [231, 1] (w:1, o:113
% 0.99/1.38 , a:1, s:1, b:0),
% 0.99/1.38 'class_Ring__and__Field_Oring' [232, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.99/1.38
% 0.99/1.38 'class_HOL_Oplus' [233, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.99/1.38 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [234, 1] (w:1, o:
% 0.99/1.38 115, a:1, s:1, b:0),
% 0.99/1.38 'class_Ring__and__Field_Ocomm__ring' [235, 1] (w:1, o:104, a:1, s:1
% 0.99/1.38 , b:0),
% 0.99/1.38 'class_Ring__and__Field_Oaxclass__0__neq__1' [236, 1] (w:1, o:116, a:
% 0.99/1.38 1, s:1, b:0),
% 0.99/1.38 'class_OrderedGroup_Omonoid__mult' [237, 1] (w:1, o:121, a:1, s:1, b:
% 0.99/1.38 0),
% 0.99/1.38 'class_OrderedGroup_Ocomm__monoid__mult' [238, 1] (w:1, o:122, a:1
% 0.99/1.38 , s:1, b:0),
% 0.99/1.38 'class_Ring__and__Field_Osemiring__1' [239, 1] (w:1, o:123, a:1, s:1
% 0.99/1.38 , b:0),
% 0.99/1.38 'class_Ring__and__Field_Ocomm__semiring__1' [240, 1] (w:1, o:124, a:1
% 0.99/1.38 , s:1, b:0),
% 0.99/1.38 'class_Ring__and__Field_Osemiring__1__cancel' [241, 1] (w:1, o:125
% 0.99/1.38 , a:1, s:1, b:0),
% 0.99/1.38 'class_Ring__and__Field_Oring__1' [242, 1] (w:1, o:102, a:1, s:1, b:0
% 0.99/1.38 ),
% 0.99/1.38 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [243, 1] (w:1, o:
% 0.99/1.38 126, a:1, s:1, b:0),
% 0.99/1.38 'class_HOL_Otimes' [244, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.99/1.38 'class_Ring__and__Field_Ocomm__ring__1' [245, 1] (w:1, o:105, a:1, s:
% 0.99/1.38 1, b:0),
% 0.99/1.38 'class_LOrder_Omeet__semilorder' [246, 1] (w:1, o:129, a:1, s:1, b:0)
% 0.99/1.43 ,
% 0.99/1.43 'class_LOrder_Ojoin__semilorder' [247, 1] (w:1, o:130, a:1, s:1, b:0)
% 0.99/1.43 ,
% 0.99/1.43 'class_LOrder_Olorder' [248, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add' [249, 1] (w:1, o:
% 0.99/1.43 132, a:1, s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [250, 1]
% 0.99/1.43 (w:1, o:133, a:1, s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [251, 1]
% 0.99/1.43 (w:1, o:134, a:1, s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [252, 1]
% 0.99/1.43 (w:1, o:131, a:1, s:1, b:0),
% 0.99/1.43 'class_HOL_Ozero' [253, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Opordered__semiring' [254, 1] (w:1, o:143, a:
% 0.99/1.43 1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Opordered__cancel__semiring' [255, 1] (w:1
% 0.99/1.43 , o:144, a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Oordered__semiring__strict' [256, 1] (w:1, o:
% 0.99/1.43 137, a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Opordered__comm__semiring' [257, 1] (w:1, o:
% 0.99/1.43 146, a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [258, 1]
% 0.99/1.43 (w:1, o:147, a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Oordered__comm__semiring__strict' [259, 1]
% 0.99/1.43 (w:1, o:138, a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Oaxclass__abs__if' [260, 1] (w:1, o:148, a:1
% 0.99/1.43 , s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__group__add' [261, 1] (w:1, o:149
% 0.99/1.43 , a:1, s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Olordered__ab__group' [262, 1] (w:1, o:117, a:1
% 0.99/1.43 , s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Opordered__ring' [263, 1] (w:1, o:142, a:1
% 0.99/1.43 , s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Olordered__ab__group__abs' [264, 1] (w:1, o:118
% 0.99/1.43 , a:1, s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Olordered__ab__group__meet' [265, 1] (w:1, o:119
% 0.99/1.43 , a:1, s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Olordered__ab__group__join' [266, 1] (w:1, o:120
% 0.99/1.43 , a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Olordered__ring' [267, 1] (w:1, o:150, a:1
% 0.99/1.43 , s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [268, 1] (w:1
% 0.99/1.43 , o:151, a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Oordered__ring__strict' [269, 1] (w:1, o:136
% 0.99/1.43 , a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Oordered__semidom' [270, 1] (w:1, o:139, a:1
% 0.99/1.43 , s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Oidom' [271, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.99/1.43
% 0.99/1.43 'class_Ring__and__Field_Oordered__idom' [272, 1] (w:1, o:140, a:1, s:
% 0.99/1.43 1, b:0),
% 0.99/1.43 'class_Numeral_Onumber' [273, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add' [274, 1] (w:1, o:153, a:1, s:1
% 0.99/1.43 , b:0),
% 0.99/1.43 'class_Numeral_Onumber__ring' [275, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.99/1.43 'class_Divides_Odiv' [276, 1] (w:1, o:154, a:1, s:1, b:0),
% 0.99/1.43 'class_Nat_Opower' [277, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.99/1.43 'class_Power_Orecpower' [278, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.99/1.43 'class_Parity_Oeven__odd' [279, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add' [280, 1] (w:1, o:155, a:1
% 0.99/1.43 , s:1, b:0),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__mult' [281, 1] (w:1, o:156, a:1, s:1
% 0.99/1.43 , b:0),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__mult' [282, 1] (w:1, o:157, a:1
% 0.99/1.43 , s:1, b:0),
% 0.99/1.43 'tc_Product__Type_Ounit' [283, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.99/1.43 'tc_bool' [284, 0] (w:1, o:77, a:1, s:1, b:0),
% 0.99/1.43 'tc_fun' [286, 2] (w:1, o:225, a:1, s:1, b:0),
% 0.99/1.43 'class_Wellfounded__Recursion_Owellorder' [287, 1] (w:1, o:160, a:1
% 0.99/1.43 , s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Odivision__by__zero' [289, 1] (w:1, o:161, a:
% 0.99/1.43 1, s:1, b:0),
% 0.99/1.43 'class_HOL_Oinverse' [290, 1] (w:1, o:162, a:1, s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Ofield' [291, 1] (w:1, o:163, a:1, s:1, b:0)
% 0.99/1.43 ,
% 0.99/1.43 'class_Ring__and__Field_Oordered__field' [292, 1] (w:1, o:141, a:1
% 0.99/1.43 , s:1, b:0),
% 0.99/1.43 'class_Ring__and__Field_Opordered__comm__ring' [293, 1] (w:1, o:145
% 0.99/1.43 , a:1, s:1, b:0),
% 0.99/1.43 'v_a' [294, 0] (w:1, o:80, a:1, s:1, b:0).
% 0.99/1.43
% 0.99/1.43
% 0.99/1.43 Starting Search:
% 0.99/1.43
% 0.99/1.43 Resimplifying inuse:
% 0.99/1.43 Done
% 0.99/1.43
% 0.99/1.43
% 0.99/1.43 Intermediate Status:
% 0.99/1.43 Generated: 3458
% 0.99/1.43 Kept: 2105
% 0.99/1.43 Inuse: 76
% 0.99/1.43 Deleted: 0
% 0.99/1.43 Deletedinuse: 0
% 0.99/1.43
% 0.99/1.43 Resimplifying inuse:
% 0.99/1.43 Done
% 0.99/1.43
% 0.99/1.43 Resimplifying inuse:
% 0.99/1.43 Done
% 0.99/1.43
% 0.99/1.43
% 0.99/1.43 Bliksems!, er is een bewijs:
% 0.99/1.43 % SZS status Unsatisfiable
% 0.99/1.43 % SZS output start Refutation
% 0.99/1.43
% 0.99/1.43 clause( 149, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.99/1.43 .
% 0.99/1.43 clause( 1327, [ 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 .
% 0.99/1.43 clause( 3720, [] )
% 0.99/1.43 .
% 0.99/1.43
% 0.99/1.43
% 0.99/1.43 % SZS output end Refutation
% 0.99/1.43 found a proof!
% 0.99/1.43
% 0.99/1.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.99/1.43
% 0.99/1.43 initialclauses(
% 0.99/1.43 [ clause( 3722, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 0.99/1.43 'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 0.99/1.43 , clause( 3723, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'(
% 0.99/1.43 X, Y ), Y ), Y ) ] )
% 0.99/1.43 , clause( 3724, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 0.99/1.43 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3725, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 0.99/1.43 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3726, [ ~( =( 'c_Datatype_Ooption_ONone',
% 0.99/1.43 'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 0.99/1.43 , clause( 3727, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 0.99/1.43 'c_Datatype_Ooption_ONone' ) ) ] )
% 0.99/1.43 , clause( 3728, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 0.99/1.43 'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 0.99/1.43 , clause( 3729, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3730, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 0.99/1.43 , clause( 3731, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3732, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 0.99/1.43 , clause( 3733, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3734, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 0.99/1.43 , clause( 3735, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 0.99/1.43 , clause( 3736, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 0.99/1.43 , clause( 3737, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 0.99/1.43 , clause( 3738, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 0.99/1.43 , clause( 3739, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.99/1.43 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 0.99/1.43 , clause( 3740, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.99/1.43 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 0.99/1.43 , clause( 3741, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.99/1.43 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 0.99/1.43 , clause( 3742, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.99/1.43 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 0.99/1.43 , clause( 3743, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.99/1.43 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 0.99/1.43 , clause( 3744, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X,
% 0.99/1.43 'c_0' ) ] )
% 0.99/1.43 , clause( 3745, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3746, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 0.99/1.43 , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 0.99/1.43 , clause( 3747, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'(
% 0.99/1.43 'c_emptyset', X, Y ) ) ] )
% 0.99/1.43 , clause( 3748, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ),
% 0.99/1.43 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 0.99/1.43 , clause( 3749, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ),
% 0.99/1.43 'c_emptyset' ) ] )
% 0.99/1.43 , clause( 3750, [ ~( =( 'c_Extraction_Osumbool_OLeft',
% 0.99/1.43 'c_Extraction_Osumbool_ORight' ) ) ] )
% 0.99/1.43 , clause( 3751, [ ~( =( 'c_Extraction_Osumbool_ORight',
% 0.99/1.43 'c_Extraction_Osumbool_OLeft' ) ) ] )
% 0.99/1.43 , clause( 3752, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'(
% 0.99/1.43 T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 0.99/1.43 , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 0.99/1.43 , clause( 3753, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 0.99/1.43 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X,
% 0.99/1.43 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites',
% 0.99/1.43 'tc_set'( Z ) ) ] )
% 0.99/1.43 , clause( 3754, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites',
% 0.99/1.43 'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites',
% 0.99/1.43 'tc_set'( Y ) ) ] )
% 0.99/1.43 , clause( 3755, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 0.99/1.43 , 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'(
% 0.99/1.43 Y ) ) ) ] )
% 0.99/1.43 , clause( 3756, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.99/1.43 , 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 3757, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.99/1.43 , 'tc_set'( Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 3758, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 0.99/1.43 , ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.99/1.43 'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 0.99/1.43 , clause( 3759, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 0.99/1.43 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X,
% 0.99/1.43 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 0.99/1.43 , clause( 3760, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 0.99/1.43 'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 0.99/1.43 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 0.99/1.43 , clause( 3761, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 0.99/1.43 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3762, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 0.99/1.43 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z,
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3763, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~(
% 0.99/1.43 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X,
% 0.99/1.43 'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3764, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'(
% 0.99/1.43 'tc_nat' ) ) ) ] )
% 0.99/1.43 , clause( 3765, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =(
% 0.99/1.43 X, Y ) ] )
% 0.99/1.43 , clause( 3766, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y,
% 0.99/1.43 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 3767, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.99/1.43 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 3768, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ),
% 0.99/1.43 =( X, 'c_0' ) ] )
% 0.99/1.43 , clause( 3769, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 3770, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 0.99/1.43 ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3771, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.99/1.43 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 3772, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 0.99/1.43 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 0.99/1.43 , clause( 3773, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =(
% 0.99/1.43 X, 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3774, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =(
% 0.99/1.43 Y, 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3775, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 0.99/1.43 'c_List_Olist_ONil', X ) ) ] )
% 0.99/1.43 , clause( 3776, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =(
% 0.99/1.43 X, 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3777, [ =( 'c_List_Olist_ONil', 'c_List_Orev'(
% 0.99/1.43 'c_List_Olist_ONil', X ) ) ] )
% 0.99/1.43 , clause( 3778, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 0.99/1.43 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 0.99/1.43 , clause( 3779, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 0.99/1.43 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 0.99/1.43 'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3780, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 0.99/1.43 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 0.99/1.43 'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 0.99/1.43 , clause( 3781, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z )
% 0.99/1.43 , 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 0.99/1.43 'tc_List_Olist'( Z ) ) ] )
% 0.99/1.43 , clause( 3782, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z )
% 0.99/1.43 , 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.99/1.43 'tc_List_Olist'( Z ) ) ] )
% 0.99/1.43 , clause( 3783, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 0.99/1.43 ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ),
% 0.99/1.43 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 0.99/1.43 Z ) ) ] )
% 0.99/1.43 , clause( 3784, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =(
% 0.99/1.43 X, 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3785, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =(
% 0.99/1.43 Y, 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3786, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil',
% 0.99/1.43 X ), 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3787, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ),
% 0.99/1.43 =( X, T ) ] )
% 0.99/1.43 , clause( 3788, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X,
% 0.99/1.43 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3789, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 0.99/1.43 , clause( 3790, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y,
% 0.99/1.43 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3791, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 0.99/1.43 , clause( 3792, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 0.99/1.43 Z, T ) ) ), =( X, Z ) ] )
% 0.99/1.43 , clause( 3793, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 0.99/1.43 Z, T ) ) ), =( Y, T ) ] )
% 0.99/1.43 , clause( 3794, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) )
% 0.99/1.43 , =( X, 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3795, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X
% 0.99/1.43 ) ), 'c_0' ) ] )
% 0.99/1.43 , clause( 3796, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 0.99/1.43 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 3797, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) )
% 0.99/1.43 , 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3798, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 0.99/1.43 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =(
% 0.99/1.43 'c_List_Oremdups'( X, Y ), X ) ] )
% 0.99/1.43 , clause( 3799, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 0.99/1.43 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 0.99/1.43 'tc_List_Olist'( Y ) ) ) ] )
% 0.99/1.43 , clause( 3800, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 0.99/1.43 ) ) ) ] )
% 0.99/1.43 , clause( 3801, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.99/1.43 'c_List_Olist_ONil' ) ) ] )
% 0.99/1.43 , clause( 3802, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.99/1.43 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3803, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.99/1.43 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 0.99/1.43 , clause( 3804, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T,
% 0.99/1.43 Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z
% 0.99/1.43 , 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 0.99/1.43 , clause( 3805, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 0.99/1.43 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 0.99/1.43 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 0.99/1.43 , clause( 3806, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =(
% 0.99/1.43 X, 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3807, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ),
% 0.99/1.43 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3808, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ),
% 0.99/1.43 =( X, Z ) ] )
% 0.99/1.43 , clause( 3809, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ),
% 0.99/1.43 =( Y, T ) ] )
% 0.99/1.43 , clause( 3810, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y,
% 0.99/1.43 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3811, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 0.99/1.43 , clause( 3812, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y,
% 0.99/1.43 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3813, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 0.99/1.43 , clause( 3814, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 0.99/1.43 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3815, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3816, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 0.99/1.43 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3817, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3818, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.99/1.43 , clause( 3819, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' )
% 0.99/1.43 ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3820, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 0.99/1.43 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3821, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 0.99/1.43 'c_less'( X, Y, 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3822, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ),
% 0.99/1.43 'c_Suc'( Y ), 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3823, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 0.99/1.43 , clause( 3824, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 0.99/1.43 , clause( 3825, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 0.99/1.43 ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3826, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 0.99/1.43 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3827, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 0.99/1.43 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3828, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3829, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3830, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 0.99/1.43 , clause( 3831, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 3832, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3833, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 0.99/1.43 'c_0' ) ] )
% 0.99/1.43 , clause( 3834, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3835, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 0.99/1.43 , clause( 3836, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3837, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 0.99/1.43 , clause( 3838, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 3839, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 3840, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 3841, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 3842, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ] )
% 0.99/1.43 , clause( 3843, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ] )
% 0.99/1.43 , clause( 3844, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 0.99/1.43 ) ) ] )
% 0.99/1.43 , clause( 3845, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 0.99/1.43 , =( X, U ) ] )
% 0.99/1.43 , clause( 3846, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 0.99/1.43 , =( Y, W ) ] )
% 0.99/1.43 , clause( 3847, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId',
% 0.99/1.43 'tc_prod'( Y, Y ) ) ] )
% 0.99/1.43 , clause( 3848, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z,
% 0.99/1.43 'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y,
% 0.99/1.43 'tc_prod'( T, U ) ) ] )
% 0.99/1.43 , clause( 3849, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 0.99/1.43 ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ),
% 0.99/1.43 Z, T ), T ) ] )
% 0.99/1.43 , clause( 3850, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'(
% 0.99/1.43 U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.99/1.43 'tc_prod'( T, Z ) ) ] )
% 0.99/1.43 , clause( 3851, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 0.99/1.43 ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ),
% 0.99/1.43 'tc_prod'( T, Z ) ) ] )
% 0.99/1.43 , clause( 3852, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 0.99/1.43 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 0.99/1.43 , clause( 3853, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.99/1.43 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ),
% 0.99/1.43 =( Y, Z ) ] )
% 0.99/1.43 , clause( 3854, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.99/1.43 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 0.99/1.43 , clause( 3855, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.99/1.43 , X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 0.99/1.43 , clause( 3856, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.99/1.43 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 0.99/1.43 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 0.99/1.43 , clause( 3857, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 0.99/1.43 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 0.99/1.43 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 0.99/1.43 , clause( 3858, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.99/1.43 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =(
% 0.99/1.43 Y, Z ) ] )
% 0.99/1.43 , clause( 3859, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.99/1.43 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 0.99/1.43 , clause( 3860, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.99/1.43 , X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 0.99/1.43 , clause( 3861, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.99/1.43 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 0.99/1.43 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 0.99/1.43 , clause( 3862, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 0.99/1.43 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ),
% 0.99/1.43 'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 0.99/1.43 , clause( 3863, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.99/1.43 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.99/1.43 ) ) ), =( Y, Z ) ] )
% 0.99/1.43 , clause( 3864, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.99/1.43 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 0.99/1.43 , clause( 3865, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 0.99/1.43 ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 0.99/1.43 , clause( 3866, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.99/1.43 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.99/1.43 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 0.99/1.43 , clause( 3867, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.99/1.43 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 0.99/1.43 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 0.99/1.43 , clause( 3868, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.99/1.43 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 0.99/1.43 , =( Y, Z ) ] )
% 0.99/1.43 , clause( 3869, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.99/1.43 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 0.99/1.43 , clause( 3870, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 0.99/1.43 ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 0.99/1.43 , clause( 3871, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.99/1.43 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 0.99/1.43 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 0.99/1.43 , clause( 3872, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.99/1.43 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 0.99/1.43 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 0.99/1.43 , clause( 3873, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 0.99/1.43 'tc_set'( Z ) ), Z ) ) ] )
% 0.99/1.43 , clause( 3874, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 0.99/1.43 ) ), Z ) ] )
% 0.99/1.43 , clause( 3875, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 0.99/1.43 'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 0.99/1.43 , clause( 3876, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ),
% 0.99/1.43 'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X,
% 0.99/1.43 'tc_set'( Y ) ) ] )
% 0.99/1.43 , clause( 3877, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 0.99/1.43 'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'(
% 0.99/1.43 Z ) ), 'tc_set'( Z ) ) ] )
% 0.99/1.43 , clause( 3878, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y,
% 0.99/1.43 'tc_set'( Z ) ), Z ) ) ] )
% 0.99/1.43 , clause( 3879, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ),
% 0.99/1.43 'c_in'( X, Y, T ) ] )
% 0.99/1.43 , clause( 3880, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 0.99/1.43 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 0.99/1.43 , clause( 3881, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 0.99/1.43 T ) ] )
% 0.99/1.43 , clause( 3882, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y,
% 0.99/1.43 T ) ] )
% 0.99/1.43 , clause( 3883, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X
% 0.99/1.43 , 'c_inter'( T, Y, Z ), Z ) ] )
% 0.99/1.43 , clause( 3884, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 0.99/1.43 'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 0.99/1.43 , clause( 3885, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 0.99/1.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.99/1.43 , clause( 3886, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 0.99/1.43 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.99/1.43 , clause( 3887, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 0.99/1.43 , clause( 3888, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ),
% 0.99/1.43 Z ) ] )
% 0.99/1.43 , clause( 3889, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ),
% 0.99/1.43 Z ) ] )
% 0.99/1.43 , clause( 3890, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 0.99/1.43 T ), 'c_in'( X, Y, T ) ] )
% 0.99/1.43 , clause( 3891, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X,
% 0.99/1.43 'c_emptyset' ) ] )
% 0.99/1.43 , clause( 3892, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y,
% 0.99/1.43 'c_emptyset' ) ] )
% 0.99/1.43 , clause( 3893, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ),
% 0.99/1.43 'c_emptyset' ) ] )
% 0.99/1.43 , clause( 3894, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 0.99/1.43 ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 0.99/1.43 , clause( 3895, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.99/1.43 , clause( 3896, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 0.99/1.43 , Z ) ] )
% 0.99/1.43 , clause( 3897, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.99/1.43 , clause( 3898, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 0.99/1.43 , T ), =( X, Y ) ] )
% 0.99/1.43 , clause( 3899, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 0.99/1.43 , clause( 3900, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 0.99/1.43 , Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3901, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 0.99/1.43 , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'(
% 0.99/1.43 Z ) ) ] )
% 0.99/1.43 , clause( 3902, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 0.99/1.43 'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 0.99/1.43 , Z ) ) ] )
% 0.99/1.43 , clause( 3903, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 0.99/1.43 , Y ) ) ), =( Z, X ) ] )
% 0.99/1.43 , clause( 3904, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 0.99/1.43 , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'(
% 0.99/1.43 Y ) ) ] )
% 0.99/1.43 , clause( 3905, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 0.99/1.43 'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 0.99/1.43 , Z ) ) ] )
% 0.99/1.43 , clause( 3906, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 0.99/1.43 T, Y, Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3907, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 0.99/1.43 T, Z, Y ) ) ) ] )
% 0.99/1.43 , clause( 3908, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 0.99/1.43 T, Y, Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3909, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 0.99/1.43 T, Z, Y ) ) ) ] )
% 0.99/1.43 , clause( 3910, [ ~( 'c_Wellfounded__Recursion_Oacyclic'(
% 0.99/1.43 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 0.99/1.43 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 0.99/1.43 , clause( 3911, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.99/1.43 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3912, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 0.99/1.43 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 0.99/1.43 'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 0.99/1.43 , clause( 3913, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 0.99/1.43 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'(
% 0.99/1.43 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.99/1.43 'tc_prod'( Z, Z ) ) ) ] )
% 0.99/1.43 , clause( 3914, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.99/1.43 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 0.99/1.43 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.99/1.43 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.99/1.43 , clause( 3915, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 0.99/1.43 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 0.99/1.43 'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 0.99/1.43 , clause( 3916, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 0.99/1.43 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 0.99/1.43 , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 3917, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.99/1.43 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 0.99/1.43 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.99/1.43 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.99/1.43 , clause( 3918, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 0.99/1.43 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.99/1.43 ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3919, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.99/1.43 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'(
% 0.99/1.43 'tc_nat', 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 3920, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3921, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.99/1.43 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 0.99/1.43 , clause( 3922, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 0.99/1.43 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.99/1.43 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 0.99/1.43 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 0.99/1.43 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 0.99/1.43 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 0.99/1.43 , clause( 3923, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 0.99/1.43 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.99/1.43 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.99/1.43 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 0.99/1.43 , clause( 3924, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 0.99/1.43 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.99/1.43 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.99/1.43 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 0.99/1.43 , clause( 3925, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.99/1.43 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.99/1.43 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 0.99/1.43 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 0.99/1.43 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.99/1.43 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 0.99/1.43 , clause( 3926, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 0.99/1.43 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.99/1.43 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.99/1.43 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.99/1.43 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.99/1.43 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.99/1.43 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.99/1.43 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 0.99/1.43 , clause( 3927, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 0.99/1.43 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.99/1.43 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.99/1.43 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.99/1.43 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.99/1.43 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.99/1.43 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 0.99/1.43 , clause( 3928, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 0.99/1.43 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.99/1.43 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.99/1.43 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.99/1.43 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.99/1.43 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.99/1.43 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 0.99/1.43 , clause( 3929, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 0.99/1.43 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.99/1.43 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.99/1.43 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 0.99/1.43 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.99/1.43 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 0.99/1.43 , clause( 3930, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.99/1.43 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.99/1.43 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.99/1.43 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.99/1.43 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 0.99/1.43 , clause( 3931, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.99/1.43 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.99/1.43 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.99/1.43 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.99/1.43 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 0.99/1.43 , clause( 3932, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 0.99/1.43 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.99/1.43 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 0.99/1.43 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 0.99/1.43 , clause( 3933, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 0.99/1.43 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 0.99/1.43 'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 0.99/1.43 , clause( 3934, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 0.99/1.43 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 0.99/1.43 'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 0.99/1.43 , clause( 3935, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 0.99/1.43 Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.99/1.43 , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 0.99/1.43 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 0.99/1.43 , clause( 3936, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 0.99/1.43 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.99/1.43 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 0.99/1.43 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.99/1.43 ) ) ] )
% 0.99/1.43 , clause( 3937, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 0.99/1.43 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 0.99/1.43 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 0.99/1.43 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 3938, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 0.99/1.43 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 0.99/1.43 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 0.99/1.43 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 3939, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 0.99/1.43 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 0.99/1.43 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 0.99/1.43 , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 0.99/1.43 , clause( 3940, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 0.99/1.43 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 0.99/1.43 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 0.99/1.43 , clause( 3941, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 0.99/1.43 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 0.99/1.43 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 0.99/1.43 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 0.99/1.43 , clause( 3942, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3943, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 3944, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ),
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3945, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ),
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3946, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ),
% 0.99/1.43 =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 3947, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'(
% 0.99/1.43 X ) ) ] )
% 0.99/1.43 , clause( 3948, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 0.99/1.43 , 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3949, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 0.99/1.43 , 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 3950, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 0.99/1.43 , 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 3951, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 0.99/1.43 'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X,
% 0.99/1.43 'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites',
% 0.99/1.43 'tc_set'( Y ) ) ] )
% 0.99/1.43 , clause( 3952, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 0.99/1.43 'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ),
% 0.99/1.43 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ),
% 0.99/1.43 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 0.99/1.43 , clause( 3953, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 0.99/1.43 'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3954, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 0.99/1.43 'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3955, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z
% 0.99/1.43 , X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 0.99/1.43 , clause( 3956, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ),
% 0.99/1.43 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 3957, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 0.99/1.43 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 3958, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 3959, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 3960, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y,
% 0.99/1.43 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 3961, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X,
% 0.99/1.43 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 3962, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ),
% 0.99/1.43 'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ),
% 0.99/1.43 'tc_IntDef_Oint' ) ) ] )
% 0.99/1.43 , clause( 3963, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 0.99/1.43 , clause( 3964, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites',
% 0.99/1.43 'tc_set'( Y ) ) ] )
% 0.99/1.43 , clause( 3965, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 0.99/1.43 ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 3966, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 0.99/1.43 ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3967, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ),
% 0.99/1.43 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 0.99/1.43 , clause( 3968, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 0.99/1.43 , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3969, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.99/1.43 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 0.99/1.43 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 0.99/1.43 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 0.99/1.43 , clause( 3970, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.99/1.43 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.99/1.43 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 0.99/1.43 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 0.99/1.43 , clause( 3971, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.99/1.43 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.99/1.43 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 0.99/1.43 'tc_prod'( Z, Z ) ) ] )
% 0.99/1.43 , clause( 3972, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.99/1.43 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 0.99/1.43 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 0.99/1.43 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 0.99/1.43 , clause( 3973, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.99/1.43 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.99/1.43 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 0.99/1.43 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 0.99/1.43 , clause( 3974, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.99/1.43 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.99/1.43 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 0.99/1.43 'tc_prod'( T, T ) ) ] )
% 0.99/1.43 , clause( 3975, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 0.99/1.43 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.99/1.43 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3976, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 0.99/1.43 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 0.99/1.43 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.99/1.43 'c_List_Olist_ONil' ) ] )
% 0.99/1.43 , clause( 3977, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.99/1.43 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y,
% 0.99/1.43 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 0.99/1.43 , clause( 3978, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.99/1.43 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 0.99/1.43 , clause( 3979, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 0.99/1.43 , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 0.99/1.43 , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 0.99/1.43 , clause( 3980, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ),
% 0.99/1.43 'tc_List_Olist'( Y ) ) ] )
% 0.99/1.43 , clause( 3981, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.99/1.43 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 0.99/1.43 Y ) ) ] )
% 0.99/1.43 , clause( 3982, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.99/1.43 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.99/1.43 ) ) ] )
% 0.99/1.43 , clause( 3983, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3984, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3985, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 3986, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 0.99/1.43 , clause( 3987, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 0.99/1.43 , X ) ] )
% 0.99/1.43 , clause( 3988, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ),
% 0.99/1.43 'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y,
% 0.99/1.43 'tc_prod'( Z, T ) ) ] )
% 0.99/1.43 , clause( 3989, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 0.99/1.43 ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 0.99/1.43 , clause( 3990, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ),
% 0.99/1.43 =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 0.99/1.43 ) ) ] )
% 0.99/1.43 , clause( 3991, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 0.99/1.43 'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 0.99/1.43 , clause( 3992, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 0.99/1.43 'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y,
% 0.99/1.43 'tc_prod'( T, U ) ) ] )
% 0.99/1.43 , clause( 3993, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U )
% 0.99/1.43 , W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U )
% 0.99/1.43 , U ) ] )
% 0.99/1.43 , clause( 3994, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ),
% 0.99/1.43 'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y,
% 0.99/1.43 'tc_prod'( Z, T ) ) ] )
% 0.99/1.43 , clause( 3995, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 0.99/1.43 ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 0.99/1.43 , clause( 3996, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 0.99/1.43 'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 0.99/1.43 , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 3997, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 0.99/1.43 'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 0.99/1.43 ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 0.99/1.43 , clause( 3998, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z
% 0.99/1.43 ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'(
% 0.99/1.43 Y, X, Z ), Z, Z ) ) ] )
% 0.99/1.43 , clause( 3999, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z
% 0.99/1.43 ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 0.99/1.43 , clause( 4000, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 0.99/1.43 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.99/1.43 , clause( 4001, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 0.99/1.43 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 0.99/1.43 , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y,
% 0.99/1.43 'tc_prod'( T, U ) ) ] )
% 0.99/1.43 , clause( 4002, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 0.99/1.43 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 0.99/1.43 , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z,
% 0.99/1.43 'tc_prod'( W, T ) ) ] )
% 0.99/1.43 , clause( 4003, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 0.99/1.43 'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X,
% 0.99/1.43 T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 0.99/1.43 , clause( 4004, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 0.99/1.43 ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ),
% 0.99/1.43 'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 0.99/1.43 ), 'tc_prod'( V0, T ) ) ] )
% 0.99/1.43 , clause( 4005, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 0.99/1.43 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 4006, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 0.99/1.43 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 0.99/1.43 ) ) ] )
% 0.99/1.43 , clause( 4007, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 0.99/1.43 ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 4008, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 0.99/1.43 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 0.99/1.43 ) ) ] )
% 0.99/1.43 , clause( 4009, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 0.99/1.43 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 4010, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 0.99/1.43 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 4011, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 0.99/1.43 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 0.99/1.43 ) ) ] )
% 0.99/1.43 , clause( 4012, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 0.99/1.43 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 4013, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 0.99/1.43 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 0.99/1.43 ) ) ] )
% 0.99/1.43 , clause( 4014, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 0.99/1.43 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 0.99/1.43 , clause( 4015, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'(
% 0.99/1.43 'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 0.99/1.43 , clause( 4016, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ),
% 0.99/1.43 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 0.99/1.43 , clause( 4017, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 0.99/1.43 , clause( 4018, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 0.99/1.43 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 0.99/1.43 , clause( 4019, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 0.99/1.43 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 0.99/1.43 , clause( 4020, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 0.99/1.43 , clause( 4021, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 0.99/1.43 Y, X, 'tc_set'( Z ) ) ) ] )
% 0.99/1.43 , clause( 4022, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X,
% 0.99/1.43 Y, 'tc_set'( Z ) ) ] )
% 0.99/1.43 , clause( 4023, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X,
% 0.99/1.43 Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 0.99/1.43 , clause( 4024, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ),
% 0.99/1.43 =( X, Y ) ] )
% 0.99/1.43 , clause( 4025, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 0.99/1.43 , clause( 4026, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z,
% 0.99/1.43 'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 0.99/1.43 , clause( 4027, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 0.99/1.43 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 0.99/1.43 , clause( 4028, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 0.99/1.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.99/1.43 , clause( 4029, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 0.99/1.43 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 0.99/1.43 , clause( 4030, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 0.99/1.43 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.99/1.43 , clause( 4031, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.99/1.43 , clause( 4032, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 0.99/1.43 , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 0.99/1.43 , clause( 4033, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 0.99/1.43 , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 0.99/1.43 , clause( 4034, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 0.99/1.43 T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T
% 0.99/1.43 , U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T
% 0.99/1.43 ) ) ] )
% 0.99/1.43 , clause( 4035, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 0.99/1.43 T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 0.99/1.43 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 0.99/1.43 , clause( 4036, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 0.99/1.43 T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 0.99/1.43 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 0.99/1.43 , clause( 4037, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 0.99/1.43 T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 0.99/1.43 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 0.99/1.43 , clause( 4038, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.99/1.43 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 0.99/1.43 , clause( 4039, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.99/1.43 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.99/1.43 , clause( 4040, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 0.99/1.43 ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.99/1.43 ), 'tc_prod'( Z, Z ) ) ] )
% 0.99/1.43 , clause( 4041, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.99/1.43 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.99/1.43 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.99/1.43 'tc_prod'( Z, Z ) ) ] )
% 0.99/1.43 , clause( 4042, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 0.99/1.43 , clause( 4043, [ 'c_Relation_Otrans'(
% 0.99/1.43 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4044, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'(
% 0.99/1.43 Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z,
% 0.99/1.43 X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 0.99/1.43 , clause( 4045, [ 'c_Wellfounded__Recursion_Owf'(
% 0.99/1.43 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4046, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 0.99/1.43 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 0.99/1.43 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4047, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) )
% 0.99/1.43 , ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 0.99/1.43 , clause( 4048, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4049, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4050, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4051, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4052, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint'
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 4053, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4054, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4055, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4056, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4057, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4058, [ 'class_Ring__and__Field_Osemiring__0__cancel'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4059, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4060, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4061, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4062, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4063, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4064, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4065, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4066, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4067, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4068, [ 'class_Ring__and__Field_Osemiring__1__cancel'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4069, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4070, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4071, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4072, [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint'
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 4073, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4074, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4075, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4076, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4077, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4078, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4079, [
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4080, [
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4081, [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4082, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4083, [ 'class_Ring__and__Field_Opordered__semiring'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4084, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4085, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4086, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4087, [
% 0.99/1.43 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4088, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4089, [ 'class_Ring__and__Field_Oaxclass__abs__if'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4090, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4091, [ 'class_OrderedGroup_Olordered__ab__group'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4092, [ 'class_Ring__and__Field_Opordered__ring'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4093, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4094, [ 'class_OrderedGroup_Olordered__ab__group__abs'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4095, [ 'class_OrderedGroup_Olordered__ab__group__meet'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4096, [ 'class_OrderedGroup_Olordered__ab__group__join'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4097, [ 'class_Ring__and__Field_Olordered__ring'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4098, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4099, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4100, [ 'class_Ring__and__Field_Oordered__semidom'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4101, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4102, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint'
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 4103, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4104, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4105, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4106, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4107, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4108, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4109, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4110, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4111, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4112, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 0.99/1.43 'tc_IntDef_Oint' ) ] )
% 0.99/1.43 , clause( 4113, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4114, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 0.99/1.43 , clause( 4115, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.43 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4116, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 0.99/1.43 , clause( 4117, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4118, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4119, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4120, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4121, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4122, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4123, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4124, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4125, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4126, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4127, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4128, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4129, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4130, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4131, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4132, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4133, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4134, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4135, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4136, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4137, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4138, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4139, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4140, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4141, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4142, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4143, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4144, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4145, [
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4146, [
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4147, [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4148, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4149, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4150, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4151, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4152, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4153, [
% 0.99/1.43 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4154, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.99/1.43 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4155, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4156, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4157, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4158, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4159, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4160, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4161, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4162, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4163, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 0.99/1.43 )
% 0.99/1.43 , clause( 4164, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 0.99/1.43 , clause( 4165, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 0.99/1.43 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4166, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 0.99/1.43 , clause( 4167, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 0.99/1.43 , clause( 4168, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 0.99/1.43 , clause( 4169, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 0.99/1.43 'class_Finite__Set_Ofinite'( X ) ) ] )
% 0.99/1.43 , clause( 4170, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 0.99/1.43 , clause( 4171, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 0.99/1.43 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4172, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 0.99/1.43 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4173, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 0.99/1.43 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4174, [ ~( 'class_LOrder_Olorder'( X ) ),
% 0.99/1.43 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4175, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'(
% 0.99/1.43 X ) ] )
% 0.99/1.43 , clause( 4176, [ ~( 'class_LOrder_Olorder'( X ) ),
% 0.99/1.43 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4177, [ ~( 'class_LOrder_Olorder'( X ) ),
% 0.99/1.43 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4178, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 0.99/1.43 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4179, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 0.99/1.43 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4180, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4181, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4182, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.43 , clause( 4183, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.43 , clause( 4184, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4185, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4186, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4187, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4188, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.43 , clause( 4189, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.43 , clause( 4190, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.43 , clause( 4191, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 0.99/1.43 , clause( 4192, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4193, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'(
% 0.99/1.43 X ) ] )
% 0.99/1.43 , clause( 4194, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.43 , clause( 4195, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.43 , clause( 4196, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.43 , clause( 4197, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.43 , clause( 4198, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 0.99/1.43 , clause( 4199, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.43 , clause( 4200, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Oring__1'( X ) ] )
% 0.99/1.43 , clause( 4201, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 0.99/1.43 , clause( 4202, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 0.99/1.43 , clause( 4203, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_HOL_Otimes'( X ) ] )
% 0.99/1.43 , clause( 4204, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Numeral_Onumber'( X ) ] )
% 0.99/1.43 , clause( 4205, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4206, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4207, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.43 , clause( 4208, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.43 , clause( 4209, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4210, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4211, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.99/1.43 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4212, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4213, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.99/1.43 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4214, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4215, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4216, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4217, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4218, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4219, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4220, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4221, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4222, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.99/1.43 'class_HOL_Otimes'( X ) ] )
% 0.99/1.43 , clause( 4223, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 0.99/1.43 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4224, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 0.99/1.43 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4225, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 0.99/1.43 ), 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4226, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 0.99/1.43 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4227, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4228, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4229, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.43 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4230, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4231, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4232, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4233, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.99/1.43 'class_HOL_Oone'( X ) ] )
% 0.99/1.43 , clause( 4234, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4235, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4236, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.99/1.43 'class_HOL_Otimes'( X ) ] )
% 0.99/1.43 , clause( 4237, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.43 , clause( 4238, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4239, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4240, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4241, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4242, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4243, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4244, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4245, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.43 , clause( 4246, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4247, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4248, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4249, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4250, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4251, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.43 , clause( 4252, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4253, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4254, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4255, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.99/1.43 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4256, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 0.99/1.43 , clause( 4257, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4258, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4259, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4260, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4261, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4262, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.43 , clause( 4263, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4264, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4265, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4266, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4267, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4268, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4269, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4270, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4271, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.43 , clause( 4272, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4273, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4274, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4275, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4276, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4277, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4278, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4279, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4280, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4281, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4282, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4283, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 0.99/1.43 , clause( 4284, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.43 , clause( 4285, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4286, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4287, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4288, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4289, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.43 , clause( 4290, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4291, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4292, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4293, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 0.99/1.43 , 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4294, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4295, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4296, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4297, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4298, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4299, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4300, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4301, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4302, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 0.99/1.43 , clause( 4303, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.43 , clause( 4304, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4305, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4306, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4307, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4308, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.43 , clause( 4309, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4310, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4311, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4312, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 0.99/1.43 , 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4313, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 0.99/1.43 'class_HOL_Oone'( X ) ] )
% 0.99/1.43 , clause( 4314, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4315, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 0.99/1.43 'class_HOL_Otimes'( X ) ] )
% 0.99/1.43 , clause( 4316, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4317, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4318, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.43 , clause( 4319, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4320, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4321, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.43 , clause( 4322, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4323, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4324, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4325, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4326, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4327, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4328, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4329, [ ~(
% 0.99/1.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_Orderings_Olinorder'( X ) ] )
% 0.99/1.43 , clause( 4330, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4331, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4332, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4333, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4334, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.43 , clause( 4335, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4336, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4337, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4338, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4339, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4340, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4341, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4342, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4343, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.99/1.43 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4344, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.99/1.43 ) ), 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4345, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.99/1.43 ) ), 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4346, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.99/1.43 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4347, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.99/1.43 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4348, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.99/1.43 ) ), 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4349, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4350, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4351, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.99/1.43 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4352, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.99/1.43 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4353, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4354, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4355, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4356, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4357, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4358, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4359, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4360, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4361, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4362, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4363, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4364, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4365, [ ~(
% 0.99/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4366, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4367, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ),
% 0.99/1.43 'class_HOL_Otimes'( X ) ] )
% 0.99/1.43 , clause( 4368, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.99/1.43 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.43 , clause( 4369, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.99/1.43 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4370, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.99/1.43 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.43 , clause( 4371, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.99/1.43 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4372, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.99/1.43 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.43 , clause( 4373, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.99/1.43 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4374, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 4375, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4376, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.43 , clause( 4377, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.43 , clause( 4378, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4379, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.43 , clause( 4380, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.43 , clause( 4381, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.43 , clause( 4382, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.43 , clause( 4383, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.43 , clause( 4384, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 0.99/1.43 , clause( 4385, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4386, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4387, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4388, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.43 , clause( 4389, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.43 , clause( 4390, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.43 , clause( 4391, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 0.99/1.43 , clause( 4392, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.43 , clause( 4393, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X )
% 0.99/1.43 ] )
% 0.99/1.43 , clause( 4394, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4395, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4396, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 0.99/1.43 ) ] )
% 0.99/1.43 , clause( 4397, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4398, [ ~( 'class_Power_Orecpower'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4399, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.99/1.43 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4400, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.99/1.43 'class_HOL_Oone'( X ) ] )
% 0.99/1.43 , clause( 4401, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.99/1.43 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4402, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.99/1.43 'class_Orderings_Oord'( X ) ] )
% 0.99/1.43 , clause( 4403, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.99/1.43 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4404, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 0.99/1.43 X ) ), 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4405, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 0.99/1.43 X ) ), 'class_HOL_Otimes'( X ) ] )
% 0.99/1.43 , clause( 4406, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.43 , clause( 4407, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.43 , clause( 4408, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4409, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4410, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4411, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4412, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4413, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4414, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.43 , clause( 4415, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.43 , clause( 4416, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.43 , clause( 4417, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4418, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.43 , clause( 4419, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.43 , clause( 4420, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4421, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_HOL_Otimes'( X ) ] )
% 0.99/1.43 , clause( 4422, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4423, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4424, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4425, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 0.99/1.43 , clause( 4426, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.43 , clause( 4427, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.43 , clause( 4428, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4429, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_HOL_Otimes'( X ) ] )
% 0.99/1.43 , clause( 4430, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.43 , clause( 4431, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_HOL_Ozero'( X ) ] )
% 0.99/1.43 , clause( 4432, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4433, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4434, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4435, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4436, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4437, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.43 , clause( 4438, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 0.99/1.43 , clause( 4439, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.43 , clause( 4440, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.43 , clause( 4441, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.43 , clause( 4442, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.43 , clause( 4443, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_HOL_Oone'( X ) ] )
% 0.99/1.43 , clause( 4444, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Oring__1'( X ) ] )
% 0.99/1.43 , clause( 4445, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.43 , clause( 4446, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 0.99/1.43 , clause( 4447, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_HOL_Ominus'( X ) ] )
% 0.99/1.43 , clause( 4448, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.43 , clause( 4449, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.43 , clause( 4450, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.43 , clause( 4451, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4452, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.43 , clause( 4453, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.43 , clause( 4454, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4455, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.43 , clause( 4456, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.99/1.43 'class_HOL_Oplus'( X ) ] )
% 0.99/1.43 , clause( 4457, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4458, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4459, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.99/1.43 'class_HOL_Otimes'( X ) ] )
% 0.99/1.43 , clause( 4460, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.43 , clause( 4461, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.43 , clause( 4462, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.43 , clause( 4463, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.43 , clause( 4464, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.43 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.43 , clause( 4465, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.43 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4466, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4467, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4468, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4469, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4470, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4471, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4472, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4473, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4474, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4475, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4476, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4477, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4478, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4479, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4480, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4481, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4482, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4483, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4484, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4485, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4486, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4487, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 4488, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4489, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4490, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4491, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4492, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4493, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4494, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4495, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.44 , clause( 4496, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 4497, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4498, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4499, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4500, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4501, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4502, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4503, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4504, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 0.99/1.44 , clause( 4505, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4506, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4507, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4508, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4509, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4510, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4511, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 4512, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4513, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4514, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4515, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4516, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4517, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4518, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4519, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4520, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4521, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4522, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.44 , clause( 4523, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 4524, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4525, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4526, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4527, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4528, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.44 'class_HOL_Oinverse'( X ) ] )
% 0.99/1.44 , clause( 4529, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 0.99/1.44 , clause( 4530, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 0.99/1.44 , clause( 4531, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.44 , clause( 4532, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 4533, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4534, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 4535, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4536, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4537, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4538, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4539, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4540, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4541, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring__1'( X ) ] )
% 0.99/1.44 , clause( 4542, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4543, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4544, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4545, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4546, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4547, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4548, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4549, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4550, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4551, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4552, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.44 , clause( 4553, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_HOL_Oinverse'( X ) ] )
% 0.99/1.44 , clause( 4554, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oidom'( X ) ] )
% 0.99/1.44 , clause( 4555, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 0.99/1.44 , clause( 4556, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4557, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 4558, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4559, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 0.99/1.44 , clause( 4560, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4561, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4562, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 0.99/1.44 , clause( 4563, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 0.99/1.44 , clause( 4564, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.44 , clause( 4565, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 4566, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4567, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 4568, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4569, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4570, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4571, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4572, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4573, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4574, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring__1'( X ) ] )
% 0.99/1.44 , clause( 4575, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4576, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4577, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4578, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4579, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4580, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4581, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4582, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4583, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4584, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4585, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.44 , clause( 4586, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 0.99/1.44 , clause( 4587, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4588, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 4589, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4590, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 0.99/1.44 , clause( 4591, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4592, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4593, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 0.99/1.44 , clause( 4594, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.44 , clause( 4595, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4596, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4597, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4598, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4599, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4600, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4601, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4602, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4603, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4604, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4605, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4606, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4607, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4608, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4609, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4610, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.99/1.44 , clause( 4611, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 0.99/1.44 , clause( 4612, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.44 , clause( 4613, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4614, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4615, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 0.99/1.44 , clause( 4616, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4617, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 0.99/1.44 , clause( 4618, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 4619, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.44 , clause( 4620, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4621, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.99/1.44 , clause( 4622, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4623, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4624, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4625, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4626, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Orderings_Olinorder'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_LOrder_Olorder'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_LOrder_Omeet__semilorder'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Orderings_Oorder'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Orderings_Oord'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
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% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 0.99/1.44 , clause( 4642, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.99/1.44 , clause( 4643, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4644, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4645, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4646, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4647, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4648, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4649, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4650, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4651, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4652, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4653, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4654, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.99/1.44 , clause( 4655, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_HOL_Oinverse'( X ) ] )
% 0.99/1.44 , clause( 4656, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 0.99/1.44 , clause( 4657, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4658, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4659, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.44 , clause( 4660, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 4661, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4662, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 4663, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4664, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4665, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4666, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oidom'( X ) ] )
% 0.99/1.44 , clause( 4667, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4668, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4669, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4670, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4671, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4672, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4673, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4674, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4675, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4676, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4677, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 0.99/1.44 , clause( 4678, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4679, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 0.99/1.44 , clause( 4680, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4681, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4682, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 0.99/1.44 , clause( 4683, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 0.99/1.44 , clause( 4684, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4685, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4686, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 0.99/1.44 , clause( 4687, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 0.99/1.44 , clause( 4688, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 0.99/1.44 , clause( 4689, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4690, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Orderings_Olinorder'( X ) ] )
% 0.99/1.44 , clause( 4691, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 0.99/1.44 , clause( 4692, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 0.99/1.44 , clause( 4693, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 0.99/1.44 , clause( 4694, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.99/1.44 , clause( 4695, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4696, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.99/1.44 , clause( 4697, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 0.99/1.44 , clause( 4698, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 0.99/1.44 , clause( 4699, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring__1'( X ) ] )
% 0.99/1.44 , clause( 4700, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 0.99/1.44 , clause( 4701, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.44 , clause( 4702, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4703, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4704, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4705, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.44 , clause( 4706, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4707, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4708, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4709, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4710, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.44 , clause( 4711, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 0.99/1.44 , clause( 4712, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4713, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 4714, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4715, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 0.99/1.44 , clause( 4716, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 0.99/1.44 , clause( 4717, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.44 , clause( 4718, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 4719, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4720, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 4721, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4722, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4723, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4724, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4725, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4726, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4727, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring__1'( X ) ] )
% 0.99/1.44 , clause( 4728, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4729, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4730, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4731, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4732, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4733, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4734, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4735, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4736, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4737, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4738, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.44 , clause( 4739, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 0.99/1.44 , clause( 4740, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 0.99/1.44 , clause( 4741, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4742, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Orderings_Olinorder'( X ) ] )
% 0.99/1.44 , clause( 4743, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.44 , clause( 4744, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4745, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4746, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.44 , clause( 4747, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4748, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4749, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4750, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.99/1.44 , clause( 4751, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4752, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4753, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4754, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4755, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4756, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 0.99/1.44 , clause( 4757, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 0.99/1.44 , clause( 4758, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 0.99/1.44 , clause( 4759, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 0.99/1.44 , clause( 4760, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 4761, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.99/1.44 , clause( 4762, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 0.99/1.44 , clause( 4763, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 0.99/1.44 , clause( 4764, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 0.99/1.44 , clause( 4765, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4766, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 0.99/1.44 , clause( 4767, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 0.99/1.44 , clause( 4768, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oidom'( X ) ] )
% 0.99/1.44 , clause( 4769, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4770, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 0.99/1.44 , clause( 4771, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4772, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4773, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.44 , clause( 4774, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4775, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4776, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4777, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4778, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4779, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4780, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 0.99/1.44 , clause( 4781, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4782, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Orderings_Olinorder'( X ) ] )
% 0.99/1.44 , clause( 4783, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.44 , clause( 4784, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4785, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 4786, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4787, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.44 , clause( 4788, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4789, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.99/1.44 , clause( 4790, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4791, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4792, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4793, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4794, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 0.99/1.44 , clause( 4795, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 0.99/1.44 , clause( 4796, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4797, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4798, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 0.99/1.44 , clause( 4799, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 0.99/1.44 , clause( 4800, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.99/1.44 , clause( 4801, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 0.99/1.44 , clause( 4802, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 0.99/1.44 , clause( 4803, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 0.99/1.44 , clause( 4804, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4805, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4806, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4807, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4808, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4809, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.99/1.44 , 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4810, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4811, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 0.99/1.44 , clause( 4812, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4813, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4814, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4815, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4816, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4817, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4818, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4819, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4820, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4821, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4822, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4823, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4824, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4825, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4826, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4827, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 0.99/1.44 , clause( 4828, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 0.99/1.44 , clause( 4829, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4830, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Orderings_Olinorder'( X ) ] )
% 0.99/1.44 , clause( 4831, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.44 , clause( 4832, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4833, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 4834, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4835, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.44 , clause( 4836, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4837, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4838, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.99/1.44 , clause( 4839, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4840, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4841, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4842, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4843, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4844, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.44 , clause( 4845, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 4846, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 4847, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 4848, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4849, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4850, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4851, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4852, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_Orderings_Olinorder'( X ) ] )
% 0.99/1.44 , clause( 4853, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.44 , clause( 4854, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4855, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.44 , clause( 4856, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 0.99/1.44 )
% 0.99/1.44 , clause( 4857, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 0.99/1.44 )
% 0.99/1.44 , clause( 4858, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4859, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4860, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4861, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4862, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4863, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4864, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4865, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.99/1.44 , clause( 4866, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4867, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4868, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4869, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4870, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4871, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4872, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4873, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4874, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4875, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4876, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4877, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4878, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4879, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4880, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4881, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4882, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4883, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4884, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4885, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.99/1.44 , clause( 4886, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4887, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4888, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4889, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4890, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4891, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4892, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4893, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4894, [ ~(
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4895, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4896, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4897, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4898, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4899, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4900, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4901, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4902, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4903, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4904, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4905, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4906, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4907, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4908, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4909, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4910, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.44 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4911, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 0.99/1.44 , clause( 4912, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.44 , clause( 4913, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4914, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4915, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4916, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4917, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4918, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4919, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4920, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4921, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4922, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4923, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4924, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4925, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4926, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4927, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4928, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4929, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 4930, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4931, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4932, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4933, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4934, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4935, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 0.99/1.44 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4936, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 0.99/1.44 , clause( 4937, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 0.99/1.44 , clause( 4938, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4939, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4940, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4941, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4942, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4943, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4944, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4945, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4946, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4947, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4948, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4949, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4950, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4951, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 0.99/1.44 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4952, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.44 , clause( 4953, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4954, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4955, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4956, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4957, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4958, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4959, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.99/1.44 , clause( 4960, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4961, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4962, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4963, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4964, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 4965, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 0.99/1.44 , clause( 4966, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4967, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 0.99/1.44 , clause( 4968, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4969, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4970, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4971, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4972, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4973, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4974, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4975, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4976, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4977, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 4978, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 4979, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4980, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4981, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 4982, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4983, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4984, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4985, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 4986, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4987, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 4988, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4989, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4990, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4991, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 4992, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 4993, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 4994, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 4995, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 4996, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 4997, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 4998, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 4999, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 5000, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 5001, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oring'( X ) ] )
% 0.99/1.44 , clause( 5002, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 0.99/1.44 , clause( 5003, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 5004, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5005, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5006, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 5007, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 5008, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.44 , clause( 5009, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 5010, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 5011, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 5012, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 0.99/1.44 , clause( 5013, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_HOL_Ominus'( X ) ] )
% 0.99/1.44 , clause( 5014, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 5015, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5016, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5017, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 5018, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 5019, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 5020, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 5021, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5022, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5023, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 5024, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 5025, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 5026, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 5027, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5028, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5029, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 5030, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 5031, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 5032, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 5033, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 5034, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 5035, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 5036, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5037, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 5038, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 5039, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 5040, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5041, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5042, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 5043, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 5044, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5045, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 5046, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 5047, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 5048, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 5049, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 5050, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 5051, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 5052, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 5053, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 5054, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 5055, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5056, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5057, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 0.99/1.44 , clause( 5058, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 0.99/1.44 , clause( 5059, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_HOL_Oone'( X ) ] )
% 0.99/1.44 , clause( 5060, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.99/1.44 , clause( 5061, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_HOL_Otimes'( X ) ] )
% 0.99/1.44 , clause( 5062, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5063, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5064, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 0.99/1.44 , clause( 5065, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 0.99/1.44 , clause( 5066, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_Ring__and__Field_Osemiring'( X ) ] )
% 0.99/1.44 , clause( 5067, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 0.99/1.44 , clause( 5068, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_HOL_Ozero'( X ) ] )
% 0.99/1.44 , clause( 5069, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5070, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 0.99/1.44 , clause( 5071, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_HOL_Oplus'( X ) ] )
% 0.99/1.44 , clause( 5072, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.99/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.99/1.44 , clause( 5073, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.99/1.44 'class_Orderings_Oord'( X ) ] )
% 0.99/1.44 , clause( 5074, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.99/1.44 'class_Orderings_Oorder'( X ) ] )
% 0.99/1.44 , clause( 5075, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.99/1.44 'class_LOrder_Omeet__semilorder'( X ) ] )
% 0.99/1.44 , clause( 5076, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.99/1.44 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 0.99/1.44 , clause( 5077, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.99/1.44 'class_LOrder_Olorder'( X ) ] )
% 0.99/1.44 , clause( 5078, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.99/1.44 'class_Orderings_Olinorder'( X ) ] )
% 0.99/1.44 , clause( 5079, [ 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.99/1.44 ] ).
% 0.99/1.44
% 0.99/1.44
% 0.99/1.44
% 0.99/1.44 subsumption(
% 0.99/1.44 clause( 149, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.99/1.44 , clause( 3895, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.99/1.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.99/1.44 )] ) ).
% 0.99/1.44
% 0.99/1.44
% 0.99/1.44 subsumption(
% 0.99/1.44 clause( 1327, [ 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.99/1.44 , clause( 5079, [ 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.99/1.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.99/1.44
% 0.99/1.44
% 0.99/1.44 resolution(
% 0.99/1.44 clause( 5437, [] )
% 0.99/1.44 , clause( 149, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.99/1.44 , 0, clause( 1327, [ 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.99/1.44 , 0, substitution( 0, [ :=( X, 'v_a' ), :=( Y, 'tc_IntDef_Oint' )] ),
% 0.99/1.44 substitution( 1, [ :=( X, 'c_emptyset' )] )).
% 0.99/1.44
% 0.99/1.44
% 0.99/1.44 subsumption(
% 0.99/1.44 clause( 3720, [] )
% 0.99/1.44 , clause( 5437, [] )
% 0.99/1.44 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.99/1.44
% 0.99/1.44
% 0.99/1.44 end.
% 0.99/1.44
% 0.99/1.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.99/1.44
% 0.99/1.44 Memory use:
% 0.99/1.44
% 0.99/1.44 space for terms: 74485
% 0.99/1.44 space for clauses: 200267
% 0.99/1.44
% 0.99/1.44
% 0.99/1.44 clauses generated: 7352
% 0.99/1.44 clauses kept: 3721
% 0.99/1.44 clauses selected: 157
% 0.99/1.44 clauses deleted: 1
% 0.99/1.44 clauses inuse deleted: 0
% 0.99/1.44
% 0.99/1.44 subsentry: 10396
% 0.99/1.44 literals s-matched: 6297
% 0.99/1.44 literals matched: 6297
% 0.99/1.44 full subsumption: 1544
% 0.99/1.44
% 0.99/1.44 checksum: 1741978869
% 0.99/1.44
% 0.99/1.44
% 0.99/1.44 Bliksem ended
%------------------------------------------------------------------------------