TSTP Solution File: SET851-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET851-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 22:52:47 EDT 2022
% Result : Unsatisfiable 15.78s 16.18s
% Output : Refutation 15.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET851-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 10 16:39:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.86/1.26 *** allocated 10000 integers for termspace/termends
% 0.86/1.26 *** allocated 10000 integers for clauses
% 0.86/1.26 *** allocated 10000 integers for justifications
% 0.86/1.26 *** allocated 15000 integers for termspace/termends
% 0.86/1.26 Bliksem 1.12
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Automatic Strategy Selection
% 0.86/1.26
% 0.86/1.26 Clauses:
% 0.86/1.26 [
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 0.86/1.26 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 0.86/1.26 , Y ) ],
% 0.86/1.26 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.86/1.26 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.86/1.26 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.86/1.26 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 0.86/1.26 Z, Y ) ) ), =( X, Z ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.86/1.26 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 0.86/1.26 X, 'c_emptyset' ) ],
% 0.86/1.26 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 0.86/1.26 X, 'c_emptyset' ) ],
% 0.86/1.26 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 0.86/1.26 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 0.86/1.26 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 0.86/1.26 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.86/1.26 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.86/1.26 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.86/1.26 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 0.86/1.26 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 0.86/1.26 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 0.86/1.26 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.86/1.26 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.86/1.26 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 0.86/1.26 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 0.86/1.26 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.86/1.26 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.86/1.26 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.86/1.26 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.86/1.26 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 0.86/1.26 'c_List_Olist_ONil', X ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.86/1.26 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.86/1.26 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.86/1.26 Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.86/1.26 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.86/1.26 Z ) ) ), =( Y, U ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.86/1.26 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 0.86/1.26 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 0.86/1.26 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.86/1.26 =( X, Z ) ],
% 0.86/1.26 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.86/1.26 =( Y, T ) ],
% 0.86/1.26 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 0.86/1.26 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 0.86/1.26 , =( X, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.86/1.26 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 0.86/1.26 Y ), X ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 0.86/1.26 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 0.86/1.26 'tc_List_Olist'( Y ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.26 ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.26 ) ), =( Y, U ) ],
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.86/1.26 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.86/1.26 'c_List_Olist_ONil', Y ), Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 0.86/1.26 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 0.86/1.26 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 0.86/1.26 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 0.86/1.26 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 0.86/1.26 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 0.86/1.26 'c_Suc'( Y ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 0.86/1.26 , 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 0.86/1.26 , 'tc_nat' ) ],
% 0.86/1.26 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 0.86/1.26 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 0.86/1.26 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 0.86/1.26 'tc_nat' ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 0.86/1.26 'tc_nat' ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.86/1.26 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 0.86/1.26 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.86/1.26 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 0.86/1.26 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.86/1.26 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.86/1.26 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.86/1.26 Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.86/1.26 ) ), =( X, Y ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 0.86/1.26 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.86/1.26 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.86/1.26 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 0.86/1.26 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.86/1.26 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 0.86/1.26 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 0.86/1.26 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.86/1.26 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.86/1.26 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 0.86/1.26 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.86/1.26 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 0.86/1.26 Z, X ), 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.86/1.26 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.86/1.26 ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.86/1.26 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 0.86/1.26 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.86/1.26 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.26 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 0.86/1.26 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 0.86/1.26 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.86/1.26 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 0.86/1.26 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 0.86/1.26 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.26 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 0.86/1.26 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 0.86/1.26 Z ) ) ],
% 0.86/1.26 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 0.86/1.26 ), =( X, Z ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 0.86/1.26 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 0.86/1.26 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 0.86/1.26 , Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.86/1.26 , 'tc_set'( Z ) ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 0.86/1.26 T, Y, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 0.86/1.26 ) ), 'c_in'( T, X, Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 0.86/1.26 , 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 0.86/1.26 , 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 0.86/1.26 X, Y, T ) ],
% 0.86/1.26 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 0.86/1.26 , 'c_Union'( T, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 0.86/1.26 X, T ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 0.86/1.26 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.86/1.26 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 0.86/1.26 Z, X ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 0.86/1.26 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.86/1.26 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 0.86/1.26 , =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 0.86/1.26 , =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 0.86/1.26 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.86/1.26 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 0.86/1.26 T, Z ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.86/1.26 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 0.86/1.26 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.86/1.26 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.86/1.26 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 0.86/1.26 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 0.86/1.26 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.86/1.26 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 0.86/1.26 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 0.86/1.26 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.86/1.26 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 0.86/1.26 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 0.86/1.26 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.86/1.26 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.86/1.26 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.86/1.26 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 0.86/1.26 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.86/1.26 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.86/1.26 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.86/1.26 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.86/1.26 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.86/1.26 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.86/1.26 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.86/1.26 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.86/1.26 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.86/1.26 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.86/1.26 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.86/1.26 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.86/1.26 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 0.86/1.26 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 0.86/1.26 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 0.86/1.26 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.26 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.26 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.86/1.26 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 0.86/1.26 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 0.86/1.26 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.86/1.26 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.86/1.26 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.86/1.26 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.86/1.26 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 0.86/1.26 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.26 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.86/1.26 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 0.86/1.26 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 0.86/1.26 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 0.86/1.26 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.86/1.26 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.86/1.26 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.86/1.26 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.86/1.26 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 0.86/1.26 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.86/1.26 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 0.86/1.26 , 'tc_set'( Y ) ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.86/1.26 ) ), X, 'tc_nat' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.86/1.26 ) ), Y, 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 0.86/1.26 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 0.86/1.26 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 0.86/1.26 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 0.86/1.26 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.86/1.26 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.86/1.26 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 0.86/1.26 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 0.86/1.26 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.86/1.26 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.86/1.26 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 0.86/1.26 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 0.86/1.26 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.86/1.26 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.86/1.26 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 0.86/1.26 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.86/1.26 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 0.86/1.26 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.86/1.26 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 0.86/1.26 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.86/1.26 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.86/1.26 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 0.86/1.26 'tc_prod'( T, T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.86/1.26 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.86/1.26 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil' ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 0.86/1.26 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 0.86/1.26 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 0.86/1.26 Y ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 0.86/1.26 Y ) ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.86/1.26 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 0.86/1.26 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 0.86/1.26 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 0.86/1.26 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.86/1.26 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 0.86/1.26 T, U ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 0.86/1.26 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 0.86/1.26 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.86/1.26 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.86/1.26 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 0.86/1.26 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.86/1.26 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 0.86/1.26 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 0.86/1.26 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 0.86/1.26 , Z, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.86/1.26 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 0.86/1.26 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.86/1.26 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 0.86/1.26 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.86/1.26 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.86/1.26 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.86/1.26 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.86/1.26 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 0.86/1.26 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 0.86/1.26 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 0.86/1.26 T ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 0.86/1.26 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 0.86/1.26 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 0.86/1.26 Z ), Y, 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 0.86/1.26 'c_Inter'( Y, Z ), Z ) ],
% 0.86/1.26 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.86/1.26 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 0.86/1.26 X, Y, Z ), Z ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.86/1.26 'tc_set'( Z ) ) ) ],
% 0.86/1.26 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 0.86/1.26 Z ) ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'(
% 0.86/1.26 Z ) ), =( X, Y ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 0.86/1.26 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 0.86/1.26 ) ) ), =( X, Z ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 0.86/1.26 'c_in'( X, T, Z ) ],
% 0.86/1.26 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.86/1.26 , 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 0.86/1.26 X, Y, 'tc_set'( Z ) ) ],
% 0.86/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.86/1.26 'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.86/1.26 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ),
% 0.86/1.26 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ),
% 0.86/1.26 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.26 , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ),
% 0.86/1.26 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.26 , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 0.86/1.26 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.26 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 0.86/1.26 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 0.86/1.26 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.86/1.26 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 0.86/1.26 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 0.86/1.26 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.86/1.26 ), 'tc_prod'( Y, Y ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.86/1.26 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.86/1.26 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.86/1.26 , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.86/1.26 [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 0.86/1.26 [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ),
% 0.86/1.26 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 0.86/1.26 , 'tc_prod'( T, Y ) ) ],
% 0.86/1.26 [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 0.86/1.26 , 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 0.86/1.26 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 0.86/1.26 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.86/1.26 [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 0.86/1.26 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 0.86/1.26 [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 0.86/1.26 [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 0.86/1.26 [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.86/1.26 [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 0.86/1.26 [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 0.86/1.26 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.86/1.26 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.86/1.26 'class_HOL_Otimes'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.86/1.26 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_LOrder_Olorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_HOL_Ominus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.86/1.26 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_LOrder_Olorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_HOL_Ominus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_HOL_Ozero'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_LOrder_Olorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_HOL_Ominus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_HOL_Ozero'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.86/1.26 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_LOrder_Olorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_HOL_Ominus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_HOL_Ozero'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.86/1.26 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_LOrder_Olorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_HOL_Ominus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_HOL_Ozero'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_Orderings_Oorder'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_Orderings_Oord'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_HOL_Oplus'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.86/1.27 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.86/1.27 'class_HOL_Ominus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 0.86/1.27 ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.27 'class_HOL_Oinverse'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oidom'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Oplus'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Ozero'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Olorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Oorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Orderings_Oord'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_HOL_Otimes'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ofield'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_HOL_Oinverse'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oidom'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 0.86/1.27 X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.86/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.27 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_LOrder_Olorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 0.90/1.27 ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_LOrder_Olorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oidom'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_HOL_Oplus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_HOL_Ozero'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_LOrder_Olorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_HOL_Ominus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_HOL_Ozero'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_HOL_Oplus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_LOrder_Olorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_LOrder_Olorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_HOL_Oplus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_HOL_Ozero'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_HOL_Oplus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
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% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 0.90/1.27 'class_HOL_Ozero'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
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% 0.90/1.27 'class_HOL_Oplus'( X ) ],
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% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
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% 0.90/1.27 'class_Orderings_Oord'( X ) ],
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% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 0.90/1.27 'class_HOL_Ozero'( X ) ],
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% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 0.90/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_HOL_Ozero'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_HOL_Oplus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
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% 0.90/1.27 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_HOL_Ominus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_HOL_Oplus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_HOL_Ozero'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.90/1.27 X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_HOL_Oplus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_HOL_Ozero'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.90/1.27 ,
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 0.90/1.27 ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 0.90/1.27 ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 0.90/1.27 ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 0.90/1.27 ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_HOL_Oplus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_HOL_Ozero'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 0.90/1.27 ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 0.90/1.27 ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 0.90/1.27 ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 0.90/1.27 ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_HOL_Oone'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_HOL_Otimes'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_HOL_Ozero'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_HOL_Oplus'( X ) ],
% 0.90/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.90/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.90/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.90/1.27 'class_Orderings_Oord'( X ) ],
% 0.90/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.90/1.27 'class_Orderings_Oorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.90/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.90/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.90/1.27 'class_LOrder_Olorder'( X ) ],
% 0.90/1.27 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.90/1.27 'class_Orderings_Olinorder'( X ) ],
% 0.90/1.27 [ 'c_in'( 'c_Zorn_OUnion__lemma0__1'( X, Y, Z, T ), Z, 'tc_set'( T ) ),
% 0.90/1.27 'c_lessequals'( Y, 'c_Union'( Z, T ), 'tc_set'( T ) ), 'c_lessequals'(
% 0.90/1.27 'c_Union'( Z, T ), X, 'tc_set'( T ) ) ],
% 0.90/1.27 [ ~( 'c_lessequals'( 'c_Zorn_OUnion__lemma0__1'( X, Y, Z, T ), X,
% 0.90/1.27 'tc_set'( T ) ) ), 'c_lessequals'( Y, 'c_Union'( Z, T ), 'tc_set'( T ) )
% 0.90/1.27 , 'c_lessequals'( 'c_Union'( Z, T ), X, 'tc_set'( T ) ) ],
% 0.90/1.27 [ ~( 'c_lessequals'( X, 'c_Zorn_OUnion__lemma0__1'( Y, X, Z, T ),
% 0.90/1.27 'tc_set'( T ) ) ), 'c_lessequals'( X, 'c_Union'( Z, T ), 'tc_set'( T ) )
% 0.90/1.27 , 'c_lessequals'( 'c_Union'( Z, T ), Y, 'tc_set'( T ) ) ],
% 0.90/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'(
% 0.90/1.27 X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ],
% 0.90/1.27 [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.90/1.27 't_a' ) ) ) ],
% 0.90/1.27 [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.90/1.27 't_a' ) ) ) ],
% 0.90/1.27 [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_m',
% 0.90/1.27 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 0.90/1.27 [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 0.90/1.27 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 0.90/1.27 ],
% 0.90/1.27 [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_x', 'tc_set'(
% 0.90/1.27 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'(
% 0.90/1.27 't_a' ) ) ) ],
% 0.90/1.27 [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 0.90/1.27 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X, 'v_m',
% 0.90/1.27 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 0.90/1.27 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 0.90/1.27 ] .
% 0.90/1.27
% 0.90/1.27
% 0.90/1.27 percentage equality = 0.074476, percentage horn = 0.975824
% 0.90/1.27 This is a problem with some equality
% 0.90/1.27
% 0.90/1.27
% 0.90/1.27
% 0.90/1.27 Options Used:
% 0.90/1.27
% 0.90/1.27 useres = 1
% 0.90/1.27 useparamod = 1
% 0.90/1.27 useeqrefl = 1
% 0.90/1.27 useeqfact = 1
% 0.90/1.27 usefactor = 1
% 0.90/1.27 usesimpsplitting = 0
% 0.90/1.27 usesimpdemod = 5
% 0.90/1.27 usesimpres = 3
% 0.90/1.27
% 0.90/1.27 resimpinuse = 1000
% 0.90/1.27 resimpclauses = 20000
% 0.90/1.27 substype = eqrewr
% 0.90/1.27 backwardsubs = 1
% 0.90/1.27 selectoldest = 5
% 0.90/1.27
% 0.90/1.27 litorderings [0] = split
% 0.90/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.27
% 0.90/1.27 termordering = kbo
% 0.90/1.27
% 0.90/1.27 litapriori = 0
% 0.90/1.27 termapriori = 1
% 0.90/1.27 litaposteriori = 0
% 0.90/1.27 termaposteriori = 0
% 0.90/1.27 demodaposteriori = 0
% 0.90/1.27 ordereqreflfact = 0
% 0.90/1.27
% 0.90/1.27 litselect = negord
% 0.90/1.27
% 0.90/1.27 maxweight = 15
% 0.90/1.27 maxdepth = 30000
% 0.90/1.27 maxlength = 115
% 0.90/1.27 maxnrvars = 195
% 0.90/1.27 excuselevel = 1
% 0.90/1.27 increasemaxweight = 1
% 0.90/1.27
% 0.90/1.27 maxselected = 10000000
% 0.90/1.27 maxnrclauses = 10000000
% 0.90/1.27
% 0.90/1.27 showgenerated = 0
% 0.90/1.27 showkept = 0
% 0.90/1.27 showselected = 0
% 0.90/1.27 showdeleted = 0
% 0.90/1.27 showresimp = 1
% 0.90/1.27 showstatus = 2000
% 0.90/1.27
% 0.90/1.27 prologoutput = 1
% 0.90/1.27 nrgoals = 5000000
% 0.90/1.27 totalproof = 1
% 0.90/1.27
% 0.90/1.27 Symbols occurring in the translation:
% 0.90/1.27
% 0.90/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.27 . [1, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.90/1.27 ! [4, 1] (w:0, o:84, a:1, s:1, b:0),
% 0.90/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.27 'c_Datatype_Oo2s' [42, 2] (w:1, o:192, a:1, s:1, b:0),
% 0.90/1.27 'c_in' [43, 3] (w:1, o:230, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype_Ooption_OSome' [44, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype_Ooption_ONone' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Onot__None__eq__iff1__1' [46, 2] (w:1, o:204, a:1, s:1, b:0)
% 0.90/1.27 ,
% 0.90/1.27 'c_Main_Onot__Some__eq__iff1__1' [47, 2] (w:1, o:205, a:1, s:1, b:0)
% 0.90/1.27 ,
% 0.90/1.27 'c_Datatype__Universe_OAtom' [51, 3] (w:1, o:231, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype__Universe_OScons' [55, 4] (w:1, o:264, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype__Universe_OIn0' [56, 3] (w:1, o:232, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype__Universe_OIn1' [57, 3] (w:1, o:233, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype__Universe_OLeaf' [58, 3] (w:1, o:234, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype__Universe_ONumb' [60, 3] (w:1, o:235, a:1, s:1, b:0),
% 0.90/1.27 'c_0' [63, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.90/1.27 'tc_nat' [65, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.90/1.27 'c_Divides_Oop_Advd' [66, 3] (w:1, o:236, a:1, s:1, b:0),
% 0.90/1.27 'c_emptyset' [67, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.90/1.27 'c_Equiv__Relations_Oquotient' [70, 3] (w:1, o:238, a:1, s:1, b:0),
% 0.90/1.27 'c_Extraction_Osumbool_OLeft' [71, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.90/1.27 'c_Extraction_Osumbool_ORight' [72, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.90/1.27 'c_insert' [74, 3] (w:1, o:239, a:1, s:1, b:0),
% 0.90/1.27 'tc_set' [75, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.90/1.27 'c_minus' [76, 3] (w:1, o:242, a:1, s:1, b:0),
% 0.90/1.27 'c_Finite__Set_OFinites' [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.90/1.27 'c_Pow' [78, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.90/1.27 'c_union' [81, 3] (w:1, o:244, a:1, s:1, b:0),
% 0.90/1.27 'c_Relation_Oconverse' [82, 3] (w:1, o:245, a:1, s:1, b:0),
% 0.90/1.27 'tc_prod' [83, 2] (w:1, o:207, a:1, s:1, b:0),
% 0.90/1.27 'c_Pair' [85, 4] (w:1, o:265, a:1, s:1, b:0),
% 0.90/1.27 'c_GCD_Ogcd' [86, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.90/1.27 'c_UNIV' [87, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.90/1.27 'c_IntDef_Oint' [88, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.90/1.27 'tc_IntDef_Oint' [91, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.90/1.27 'c_uminus' [92, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Olist_ONil' [94, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.90/1.27 'tc_List_Olist' [95, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Olex' [96, 2] (w:1, o:194, a:1, s:1, b:0),
% 0.90/1.27 'c_append' [98, 3] (w:1, o:246, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Orev' [99, 2] (w:1, o:195, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Olist_OCons' [100, 3] (w:1, o:247, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Olists' [102, 2] (w:1, o:197, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Ochar_OChar' [106, 2] (w:1, o:198, a:1, s:1, b:0),
% 0.90/1.27 'c_Nat_Osize' [109, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.90/1.27 'c_less' [110, 3] (w:1, o:240, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Oremdups' [111, 2] (w:1, o:199, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Oset' [114, 2] (w:1, o:200, a:1, s:1, b:0),
% 0.90/1.27 'c_Suc' [115, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.90/1.27 'c_lessequals' [116, 3] (w:1, o:241, a:1, s:1, b:0),
% 0.90/1.27 'c_plus' [117, 3] (w:1, o:248, a:1, s:1, b:0),
% 0.90/1.27 'c_1' [119, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.90/1.27 'c_Numeral_Obit_OB0' [121, 0] (w:1, o:56, a:1, s:1, b:0),
% 0.90/1.27 'c_Numeral_Obit_OB1' [122, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.90/1.27 'class_Orderings_Oorder' [123, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.90/1.27 'c_Relation_OId' [125, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.90/1.27 'c_Relation_OImage' [126, 4] (w:1, o:266, a:1, s:1, b:0),
% 0.90/1.27 'class_Orderings_Olinorder' [127, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.90/1.27 'c_SetInterval_OatLeast' [128, 2] (w:1, o:215, a:1, s:1, b:0),
% 0.90/1.27 'class_Orderings_Oord' [129, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.90/1.27 'c_SetInterval_OatMost' [130, 2] (w:1, o:216, a:1, s:1, b:0),
% 0.90/1.27 'c_SetInterval_OgreaterThan' [131, 2] (w:1, o:217, a:1, s:1, b:0),
% 0.90/1.27 'c_SetInterval_OlessThan' [132, 2] (w:1, o:218, a:1, s:1, b:0),
% 0.90/1.27 'c_inter' [134, 3] (w:1, o:249, a:1, s:1, b:0),
% 0.90/1.27 'c_Inter' [137, 2] (w:1, o:219, a:1, s:1, b:0),
% 0.90/1.27 'c_Union' [138, 2] (w:1, o:222, a:1, s:1, b:0),
% 0.90/1.27 'c_Sum__Type_OInl' [139, 3] (w:1, o:252, a:1, s:1, b:0),
% 0.90/1.27 'c_Sum__Type_OInr' [140, 3] (w:1, o:253, a:1, s:1, b:0),
% 0.90/1.27 'c_Wellfounded__Recursion_Oacyclic' [141, 2] (w:1, o:223, a:1, s:1
% 0.90/1.27 , b:0),
% 0.90/1.27 'c_Transitive__Closure_Ortrancl' [142, 2] (w:1, o:220, a:1, s:1, b:0)
% 0.90/1.27 ,
% 0.90/1.27 'c_Wellfounded__Recursion_Owf' [143, 2] (w:1, o:224, a:1, s:1, b:0),
% 0.90/1.27
% 0.90/1.27 'c_Wellfounded__Relations_Oless__than' [144, 0] (w:1, o:63, a:1, s:1
% 0.90/1.27 , b:0),
% 0.90/1.27 'c_Datatype__Universe_Odprod' [146, 4] (w:1, o:267, a:1, s:1, b:0),
% 0.90/1.27 'tc_Datatype__Universe_Onode' [147, 2] (w:1, o:225, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OdprodE__1' [148, 5] (w:1, o:286, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OdprodE__2' [149, 5] (w:1, o:287, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OdprodE__3' [150, 5] (w:1, o:288, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OdprodE__4' [151, 5] (w:1, o:289, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype__Universe_Odsum' [152, 4] (w:1, o:268, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OdsumE__1' [153, 4] (w:1, o:271, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OdsumE__2' [154, 4] (w:1, o:272, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OdsumE__3' [155, 4] (w:1, o:273, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OdsumE__4' [156, 4] (w:1, o:274, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype__Universe_Ouprod' [157, 4] (w:1, o:275, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OuprodE__1' [158, 5] (w:1, o:290, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OuprodE__2' [159, 5] (w:1, o:291, a:1, s:1, b:0),
% 0.90/1.27 'c_Datatype__Universe_Ousum' [161, 4] (w:1, o:276, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OusumE__1' [162, 4] (w:1, o:277, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OusumE__2' [163, 4] (w:1, o:278, a:1, s:1, b:0),
% 0.90/1.27 'c_times' [164, 3] (w:1, o:243, a:1, s:1, b:0),
% 0.90/1.27 'c_Divides_Oop_Amod' [166, 3] (w:1, o:237, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Omod__eq__0D__dest__1' [167, 2] (w:1, o:203, a:1, s:1, b:0),
% 0.90/1.27
% 0.90/1.27 'c_Main_Ofinite__Union__1' [168, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.90/1.27 'c_Infinite__Set_Oatmost__one' [170, 2] (w:1, o:226, a:1, s:1, b:0),
% 0.90/1.27
% 0.90/1.27 'c_Main_Ozmod__eq__0D__dest__1' [171, 2] (w:1, o:210, a:1, s:1, b:0)
% 0.90/1.27 ,
% 0.90/1.27 'c_List_Odistinct' [172, 2] (w:1, o:201, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Oin__listsI__1' [174, 3] (w:1, o:254, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Olistrel' [175, 2] (w:1, o:196, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Olistrel__Cons1__1' [176, 5] (w:1, o:292, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Olistrel__Cons1__2' [177, 5] (w:1, o:293, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Olistrel__Cons2__1' [178, 5] (w:1, o:294, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Olistrel__Cons2__2' [179, 5] (w:1, o:295, a:1, s:1, b:0),
% 0.90/1.27 'c_List_Olenlex' [181, 2] (w:1, o:202, a:1, s:1, b:0),
% 0.90/1.27 'c_Relation_ODomain' [182, 3] (w:1, o:250, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_ODomainE__1' [183, 4] (w:1, o:279, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OIdE__1' [185, 2] (w:1, o:211, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OImageE__1' [186, 5] (w:1, o:296, a:1, s:1, b:0),
% 0.90/1.27 'c_Relation_ORange' [187, 3] (w:1, o:251, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_ORangeE__1' [188, 4] (w:1, o:280, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OconverseE__1' [190, 4] (w:1, o:269, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OconverseE__2' [191, 4] (w:1, o:270, a:1, s:1, b:0),
% 0.90/1.27 'c_Relation_Odiag' [192, 2] (w:1, o:213, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OdiagE__1' [193, 3] (w:1, o:255, a:1, s:1, b:0),
% 0.90/1.27 'c_Relation_Orel__comp' [196, 5] (w:1, o:297, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Orel__compE__2' [197, 6] (w:1, o:299, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Orel__compE__3' [198, 6] (w:1, o:300, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_Orel__compE__1' [199, 6] (w:1, o:298, a:1, s:1, b:0),
% 0.90/1.27 'c_SetInterval_OatLeastAtMost' [200, 3] (w:1, o:256, a:1, s:1, b:0),
% 0.90/1.27
% 0.90/1.27 'c_SetInterval_OatLeastLessThan' [201, 3] (w:1, o:257, a:1, s:1, b:0)
% 0.90/1.27 ,
% 0.90/1.27 'c_SetInterval_OgreaterThanAtMost' [202, 3] (w:1, o:258, a:1, s:1, b:
% 0.90/1.27 0),
% 0.90/1.27 'c_SetInterval_OgreaterThanLessThan' [203, 3] (w:1, o:259, a:1, s:1
% 0.90/1.27 , b:0),
% 0.90/1.27 'c_Main_OInterI__1' [204, 3] (w:1, o:260, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OUnionE__1' [205, 3] (w:1, o:261, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OsubsetI__1' [206, 3] (w:1, o:262, a:1, s:1, b:0),
% 0.90/1.27 'c_Sum__Type_OPlus' [207, 4] (w:1, o:281, a:1, s:1, b:0),
% 0.90/1.27 'tc_sum' [208, 2] (w:1, o:227, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OPlusE__1' [209, 4] (w:1, o:282, a:1, s:1, b:0),
% 0.90/1.27 'c_Main_OPlusE__2' [210, 4] (w:1, o:283, a:1, s:1, b:0),
% 0.90/1.27 'c_Transitive__Closure_Otrancl' [211, 2] (w:1, o:221, a:1, s:1, b:0)
% 0.90/1.27 ,
% 0.90/1.27 'c_Relation_Otrans' [212, 2] (w:1, o:214, a:1, s:1, b:0),
% 0.90/1.27 'c_Wellfounded__Relations_Olex__prod' [215, 4] (w:1, o:284, a:1, s:1
% 0.90/1.27 , b:0),
% 0.90/1.27 'tc_Datatype_Ooption' [219, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.90/1.27 'class_Finite__Set_Ofinite' [220, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.90/1.27 'class_HOL_Ominus' [221, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.90/1.27 'class_HOL_Oone' [222, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.90/1.27 'class_Ring__and__Field_Osemiring' [223, 1] (w:1, o:106, a:1, s:1, b:
% 0.90/1.27 0),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring' [224, 1] (w:1, o:109, a:1
% 0.90/1.27 , s:1, b:0),
% 0.90/1.27 'class_OrderedGroup_Ocomm__monoid__add' [225, 1] (w:1, o:110, a:1, s:
% 0.90/1.27 1, b:0),
% 0.90/1.27 'class_Ring__and__Field_Osemiring__0' [226, 1] (w:1, o:111, a:1, s:1
% 0.90/1.27 , b:0),
% 0.90/1.27 'class_Ring__and__Field_Ocomm__semiring__0' [227, 1] (w:1, o:112, a:1
% 0.90/1.27 , s:1, b:0),
% 0.90/1.27 'class_OrderedGroup_Ocancel__semigroup__add' [228, 1] (w:1, o:113, a:
% 2.04/2.43 1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Ocancel__ab__semigroup__add' [229, 1] (w:1, o:114
% 2.04/2.43 , a:1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Oab__group__add' [230, 1] (w:1, o:115, a:1, s:1
% 2.04/2.43 , b:0),
% 2.04/2.43 'class_Ring__and__Field_Osemiring__0__cancel' [231, 1] (w:1, o:116
% 2.04/2.43 , a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Oring' [232, 1] (w:1, o:104, a:1, s:1, b:0),
% 2.04/2.43
% 2.04/2.43 'class_HOL_Oplus' [233, 1] (w:1, o:117, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [234, 1] (w:1, o:
% 2.04/2.43 118, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Ocomm__ring' [235, 1] (w:1, o:107, a:1, s:1
% 2.04/2.43 , b:0),
% 2.04/2.43 'class_Ring__and__Field_Oaxclass__0__neq__1' [236, 1] (w:1, o:119, a:
% 2.04/2.43 1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Omonoid__mult' [237, 1] (w:1, o:124, a:1, s:1, b:
% 2.04/2.43 0),
% 2.04/2.43 'class_OrderedGroup_Ocomm__monoid__mult' [238, 1] (w:1, o:125, a:1
% 2.04/2.43 , s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Osemiring__1' [239, 1] (w:1, o:126, a:1, s:1
% 2.04/2.43 , b:0),
% 2.04/2.43 'class_Ring__and__Field_Ocomm__semiring__1' [240, 1] (w:1, o:127, a:1
% 2.04/2.43 , s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Osemiring__1__cancel' [241, 1] (w:1, o:128
% 2.04/2.43 , a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Oring__1' [242, 1] (w:1, o:105, a:1, s:1, b:0
% 2.04/2.43 ),
% 2.04/2.43 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [243, 1] (w:1, o:
% 2.04/2.43 129, a:1, s:1, b:0),
% 2.04/2.43 'class_HOL_Otimes' [244, 1] (w:1, o:130, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Ocomm__ring__1' [245, 1] (w:1, o:108, a:1, s:
% 2.04/2.43 1, b:0),
% 2.04/2.43 'class_LOrder_Omeet__semilorder' [246, 1] (w:1, o:132, a:1, s:1, b:0)
% 2.04/2.43 ,
% 2.04/2.43 'class_LOrder_Ojoin__semilorder' [247, 1] (w:1, o:133, a:1, s:1, b:0)
% 2.04/2.43 ,
% 2.04/2.43 'class_LOrder_Olorder' [248, 1] (w:1, o:131, a:1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Opordered__ab__semigroup__add' [249, 1] (w:1, o:
% 2.04/2.43 135, a:1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [250, 1]
% 2.04/2.43 (w:1, o:136, a:1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [251, 1]
% 2.04/2.43 (w:1, o:137, a:1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [252, 1]
% 2.04/2.43 (w:1, o:134, a:1, s:1, b:0),
% 2.04/2.43 'class_HOL_Ozero' [253, 1] (w:1, o:138, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Opordered__semiring' [254, 1] (w:1, o:146, a:
% 2.04/2.43 1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Opordered__cancel__semiring' [255, 1] (w:1
% 2.04/2.43 , o:147, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Oordered__semiring__strict' [256, 1] (w:1, o:
% 2.04/2.43 140, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Opordered__comm__semiring' [257, 1] (w:1, o:
% 2.04/2.43 149, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [258, 1]
% 2.04/2.43 (w:1, o:150, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Oordered__comm__semiring__strict' [259, 1]
% 2.04/2.43 (w:1, o:141, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Oaxclass__abs__if' [260, 1] (w:1, o:151, a:1
% 2.04/2.43 , s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Opordered__ab__group__add' [261, 1] (w:1, o:152
% 2.04/2.43 , a:1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Olordered__ab__group' [262, 1] (w:1, o:120, a:1
% 2.04/2.43 , s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Opordered__ring' [263, 1] (w:1, o:145, a:1
% 2.04/2.43 , s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Olordered__ab__group__abs' [264, 1] (w:1, o:121
% 2.04/2.43 , a:1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Olordered__ab__group__meet' [265, 1] (w:1, o:122
% 2.04/2.43 , a:1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Olordered__ab__group__join' [266, 1] (w:1, o:123
% 2.04/2.43 , a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Olordered__ring' [267, 1] (w:1, o:153, a:1
% 2.04/2.43 , s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [268, 1] (w:1
% 2.04/2.43 , o:154, a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Oordered__ring__strict' [269, 1] (w:1, o:139
% 2.04/2.43 , a:1, s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Oordered__semidom' [270, 1] (w:1, o:142, a:1
% 2.04/2.43 , s:1, b:0),
% 2.04/2.43 'class_Ring__and__Field_Oidom' [271, 1] (w:1, o:155, a:1, s:1, b:0),
% 2.04/2.43
% 2.04/2.43 'class_Ring__and__Field_Oordered__idom' [272, 1] (w:1, o:143, a:1, s:
% 2.04/2.43 1, b:0),
% 2.04/2.43 'class_Numeral_Onumber' [273, 1] (w:1, o:94, a:1, s:1, b:0),
% 2.04/2.43 'class_OrderedGroup_Osemigroup__add' [274, 1] (w:1, o:156, a:1, s:1
% 12.40/12.77 , b:0),
% 12.40/12.77 'class_Numeral_Onumber__ring' [275, 1] (w:1, o:95, a:1, s:1, b:0),
% 12.40/12.77 'class_Divides_Odiv' [276, 1] (w:1, o:157, a:1, s:1, b:0),
% 12.40/12.77 'class_Nat_Opower' [277, 1] (w:1, o:96, a:1, s:1, b:0),
% 12.40/12.77 'class_Power_Orecpower' [278, 1] (w:1, o:161, a:1, s:1, b:0),
% 12.40/12.77 'class_Parity_Oeven__odd' [279, 1] (w:1, o:162, a:1, s:1, b:0),
% 12.40/12.77 'class_OrderedGroup_Oab__semigroup__add' [280, 1] (w:1, o:158, a:1
% 12.40/12.77 , s:1, b:0),
% 12.40/12.77 'class_OrderedGroup_Osemigroup__mult' [281, 1] (w:1, o:159, a:1, s:1
% 12.40/12.77 , b:0),
% 12.40/12.77 'class_OrderedGroup_Oab__semigroup__mult' [282, 1] (w:1, o:160, a:1
% 12.40/12.77 , s:1, b:0),
% 12.40/12.77 'tc_Product__Type_Ounit' [283, 0] (w:1, o:76, a:1, s:1, b:0),
% 12.40/12.77 'tc_bool' [284, 0] (w:1, o:77, a:1, s:1, b:0),
% 12.40/12.77 'tc_fun' [286, 2] (w:1, o:228, a:1, s:1, b:0),
% 12.40/12.77 'class_Wellfounded__Recursion_Owellorder' [287, 1] (w:1, o:163, a:1
% 12.40/12.77 , s:1, b:0),
% 12.40/12.77 'class_Ring__and__Field_Odivision__by__zero' [289, 1] (w:1, o:164, a:
% 12.40/12.77 1, s:1, b:0),
% 12.40/12.77 'class_HOL_Oinverse' [290, 1] (w:1, o:165, a:1, s:1, b:0),
% 12.40/12.77 'class_Ring__and__Field_Ofield' [291, 1] (w:1, o:166, a:1, s:1, b:0)
% 12.40/12.77 ,
% 12.40/12.77 'class_Ring__and__Field_Oordered__field' [292, 1] (w:1, o:144, a:1
% 12.40/12.77 , s:1, b:0),
% 12.40/12.77 'class_Ring__and__Field_Opordered__comm__ring' [293, 1] (w:1, o:148
% 12.40/12.77 , a:1, s:1, b:0),
% 12.40/12.77 'c_Zorn_OUnion__lemma0__1' [294, 4] (w:1, o:285, a:1, s:1, b:0),
% 12.40/12.77 'c_Zorn_Osucc' [295, 3] (w:1, o:263, a:1, s:1, b:0),
% 12.40/12.77 'v_m' [296, 0] (w:1, o:80, a:1, s:1, b:0),
% 12.40/12.77 'v_S' [297, 0] (w:1, o:81, a:1, s:1, b:0),
% 12.40/12.77 't_a' [298, 0] (w:1, o:82, a:1, s:1, b:0),
% 12.40/12.77 'c_Zorn_OTFin' [299, 2] (w:1, o:229, a:1, s:1, b:0),
% 12.40/12.77 'v_x' [300, 0] (w:1, o:83, a:1, s:1, b:0).
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Starting Search:
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 3088
% 12.40/12.77 Kept: 2000
% 12.40/12.77 Inuse: 74
% 12.40/12.77 Deleted: 0
% 12.40/12.77 Deletedinuse: 0
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 8176
% 12.40/12.77 Kept: 4041
% 12.40/12.77 Inuse: 167
% 12.40/12.77 Deleted: 4
% 12.40/12.77 Deletedinuse: 0
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 13042
% 12.40/12.77 Kept: 6062
% 12.40/12.77 Inuse: 236
% 12.40/12.77 Deleted: 5
% 12.40/12.77 Deletedinuse: 0
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 19844
% 12.40/12.77 Kept: 8254
% 12.40/12.77 Inuse: 291
% 12.40/12.77 Deleted: 5
% 12.40/12.77 Deletedinuse: 0
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 25332
% 12.40/12.77 Kept: 10400
% 12.40/12.77 Inuse: 336
% 12.40/12.77 Deleted: 5
% 12.40/12.77 Deletedinuse: 0
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 31598
% 12.40/12.77 Kept: 12430
% 12.40/12.77 Inuse: 386
% 12.40/12.77 Deleted: 5
% 12.40/12.77 Deletedinuse: 0
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 36643
% 12.40/12.77 Kept: 14688
% 12.40/12.77 Inuse: 431
% 12.40/12.77 Deleted: 5
% 12.40/12.77 Deletedinuse: 0
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 42369
% 12.40/12.77 Kept: 16755
% 12.40/12.77 Inuse: 475
% 12.40/12.77 Deleted: 7
% 12.40/12.77 Deletedinuse: 1
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 47299
% 12.40/12.77 Kept: 19021
% 12.40/12.77 Inuse: 505
% 12.40/12.77 Deleted: 7
% 12.40/12.77 Deletedinuse: 1
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying clauses:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 52980
% 12.40/12.77 Kept: 21077
% 12.40/12.77 Inuse: 565
% 12.40/12.77 Deleted: 145
% 12.40/12.77 Deletedinuse: 1
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 59267
% 12.40/12.77 Kept: 23293
% 12.40/12.77 Inuse: 615
% 12.40/12.77 Deleted: 145
% 12.40/12.77 Deletedinuse: 1
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 64281
% 12.40/12.77 Kept: 25623
% 12.40/12.77 Inuse: 690
% 12.40/12.77 Deleted: 145
% 12.40/12.77 Deletedinuse: 1
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 68085
% 12.40/12.77 Kept: 27645
% 12.40/12.77 Inuse: 720
% 12.40/12.77 Deleted: 145
% 12.40/12.77 Deletedinuse: 1
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77
% 12.40/12.77 Intermediate Status:
% 12.40/12.77 Generated: 74897
% 12.40/12.77 Kept: 30082
% 12.40/12.77 Inuse: 745
% 12.40/12.77 Deleted: 145
% 12.40/12.77 Deletedinuse: 1
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 12.40/12.77
% 12.40/12.77 Resimplifying inuse:
% 12.40/12.77 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 80432
% 15.78/16.18 Kept: 32152
% 15.78/16.18 Inuse: 790
% 15.78/16.18 Deleted: 145
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 87426
% 15.78/16.18 Kept: 34246
% 15.78/16.18 Inuse: 815
% 15.78/16.18 Deleted: 145
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 96624
% 15.78/16.18 Kept: 36319
% 15.78/16.18 Inuse: 835
% 15.78/16.18 Deleted: 145
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 104896
% 15.78/16.18 Kept: 38675
% 15.78/16.18 Inuse: 850
% 15.78/16.18 Deleted: 145
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying clauses:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 114043
% 15.78/16.18 Kept: 40940
% 15.78/16.18 Inuse: 875
% 15.78/16.18 Deleted: 169
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 120079
% 15.78/16.18 Kept: 43091
% 15.78/16.18 Inuse: 905
% 15.78/16.18 Deleted: 169
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 126717
% 15.78/16.18 Kept: 45406
% 15.78/16.18 Inuse: 960
% 15.78/16.18 Deleted: 169
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 133831
% 15.78/16.18 Kept: 47422
% 15.78/16.18 Inuse: 990
% 15.78/16.18 Deleted: 169
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 139274
% 15.78/16.18 Kept: 49548
% 15.78/16.18 Inuse: 1040
% 15.78/16.18 Deleted: 169
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 146608
% 15.78/16.18 Kept: 51862
% 15.78/16.18 Inuse: 1065
% 15.78/16.18 Deleted: 169
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 151235
% 15.78/16.18 Kept: 54015
% 15.78/16.18 Inuse: 1075
% 15.78/16.18 Deleted: 169
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 155833
% 15.78/16.18 Kept: 56020
% 15.78/16.18 Inuse: 1125
% 15.78/16.18 Deleted: 169
% 15.78/16.18 Deletedinuse: 1
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 160613
% 15.78/16.18 Kept: 58430
% 15.78/16.18 Inuse: 1165
% 15.78/16.18 Deleted: 170
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying clauses:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 165411
% 15.78/16.18 Kept: 60724
% 15.78/16.18 Inuse: 1200
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 170947
% 15.78/16.18 Kept: 62845
% 15.78/16.18 Inuse: 1235
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 175753
% 15.78/16.18 Kept: 64870
% 15.78/16.18 Inuse: 1280
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 179627
% 15.78/16.18 Kept: 67032
% 15.78/16.18 Inuse: 1295
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 183230
% 15.78/16.18 Kept: 69172
% 15.78/16.18 Inuse: 1300
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 187443
% 15.78/16.18 Kept: 71229
% 15.78/16.18 Inuse: 1318
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 194020
% 15.78/16.18 Kept: 73320
% 15.78/16.18 Inuse: 1325
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 198451
% 15.78/16.18 Kept: 75420
% 15.78/16.18 Inuse: 1338
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 202722
% 15.78/16.18 Kept: 77539
% 15.78/16.18 Inuse: 1347
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 207365
% 15.78/16.18 Kept: 79647
% 15.78/16.18 Inuse: 1356
% 15.78/16.18 Deleted: 305
% 15.78/16.18 Deletedinuse: 2
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying clauses:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 211994
% 15.78/16.18 Kept: 81666
% 15.78/16.18 Inuse: 1366
% 15.78/16.18 Deleted: 513
% 15.78/16.18 Deletedinuse: 3
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 217840
% 15.78/16.18 Kept: 83681
% 15.78/16.18 Inuse: 1405
% 15.78/16.18 Deleted: 513
% 15.78/16.18 Deletedinuse: 3
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 223903
% 15.78/16.18 Kept: 86027
% 15.78/16.18 Inuse: 1435
% 15.78/16.18 Deleted: 513
% 15.78/16.18 Deletedinuse: 3
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 231679
% 15.78/16.18 Kept: 88485
% 15.78/16.18 Inuse: 1444
% 15.78/16.18 Deleted: 514
% 15.78/16.18 Deletedinuse: 3
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 248701
% 15.78/16.18 Kept: 90486
% 15.78/16.18 Inuse: 1491
% 15.78/16.18 Deleted: 514
% 15.78/16.18 Deletedinuse: 3
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 266159
% 15.78/16.18 Kept: 92545
% 15.78/16.18 Inuse: 1524
% 15.78/16.18 Deleted: 514
% 15.78/16.18 Deletedinuse: 3
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 278098
% 15.78/16.18 Kept: 94570
% 15.78/16.18 Inuse: 1563
% 15.78/16.18 Deleted: 514
% 15.78/16.18 Deletedinuse: 3
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 288943
% 15.78/16.18 Kept: 96658
% 15.78/16.18 Inuse: 1593
% 15.78/16.18 Deleted: 514
% 15.78/16.18 Deletedinuse: 3
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 Intermediate Status:
% 15.78/16.18 Generated: 300769
% 15.78/16.18 Kept: 98682
% 15.78/16.18 Inuse: 1607
% 15.78/16.18 Deleted: 514
% 15.78/16.18 Deletedinuse: 3
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying inuse:
% 15.78/16.18 Done
% 15.78/16.18
% 15.78/16.18 Resimplifying clauses:
% 15.78/16.18
% 15.78/16.18 Bliksems!, er is een bewijs:
% 15.78/16.18 % SZS status Unsatisfiable
% 15.78/16.18 % SZS output start Refutation
% 15.78/16.18
% 15.78/16.18 clause( 139, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 15.78/16.18 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 140, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 15.78/16.18 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 237, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X
% 15.78/16.18 ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 416, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 1330, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 15.78/16.18 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 15.78/16.18 ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 1332, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 15.78/16.18 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 1333, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 15.78/16.18 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 1334, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.18 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 15.78/16.18 ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 1335, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.18 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m',
% 15.78/16.18 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 1336, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m',
% 15.78/16.18 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X,
% 15.78/16.18 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 15.78/16.18 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 55572, [ 'c_in'( Y, 'c_Pow'( Y, X ), 'tc_set'( X ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 85498, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.18 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 85502, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'c_Pow'(
% 15.78/16.18 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 't_a' ) ), 'tc_set'(
% 15.78/16.18 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 86780, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 15.78/16.18 ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 86986, [ =( 'v_x', 'v_m' ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S'
% 15.78/16.18 , 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 100515, [ =( 'v_x', 'v_m' ) ] )
% 15.78/16.18 .
% 15.78/16.18 clause( 100529, [] )
% 15.78/16.18 .
% 15.78/16.18
% 15.78/16.18
% 15.78/16.18 % SZS output end Refutation
% 15.78/16.18 found a proof!
% 15.78/16.18
% 15.78/16.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 15.78/16.18
% 15.78/16.18 initialclauses(
% 15.78/16.18 [ clause( 100531, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 15.78/16.18 'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 15.78/16.18 , clause( 100532, [ 'c_in'( X, 'c_Datatype_Oo2s'(
% 15.78/16.18 'c_Datatype_Ooption_OSome'( X, Y ), Y ), Y ) ] )
% 15.78/16.18 , clause( 100533, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 15.78/16.18 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100534, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 15.78/16.18 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100535, [ ~( =( 'c_Datatype_Ooption_ONone',
% 15.78/16.18 'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 15.78/16.18 , clause( 100536, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 15.78/16.18 'c_Datatype_Ooption_ONone' ) ) ] )
% 15.78/16.18 , clause( 100537, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 15.78/16.18 'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 15.78/16.18 , clause( 100538, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100539, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 15.78/16.18 , clause( 100540, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100541, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 15.78/16.18 , clause( 100542, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100543, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 15.78/16.18 , clause( 100544, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 15.78/16.18 , clause( 100545, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 15.78/16.18 , clause( 100546, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 15.78/16.18 , clause( 100547, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 15.78/16.18 , clause( 100548, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 15.78/16.18 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 15.78/16.18 , clause( 100549, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 15.78/16.18 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 15.78/16.18 , clause( 100550, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 15.78/16.18 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 15.78/16.18 , clause( 100551, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 15.78/16.18 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 15.78/16.18 , clause( 100552, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 15.78/16.18 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 15.78/16.18 , clause( 100553, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X,
% 15.78/16.18 'c_0' ) ] )
% 15.78/16.18 , clause( 100554, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100555, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X,
% 15.78/16.18 Y, Z ) ) ), =( X, 'c_emptyset' ) ] )
% 15.78/16.18 , clause( 100556, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'(
% 15.78/16.18 'c_emptyset', X, Y ) ) ] )
% 15.78/16.18 , clause( 100557, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ),
% 15.78/16.18 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 15.78/16.18 , clause( 100558, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 15.78/16.18 , 'c_emptyset' ) ] )
% 15.78/16.18 , clause( 100559, [ ~( =( 'c_Extraction_Osumbool_OLeft',
% 15.78/16.18 'c_Extraction_Osumbool_ORight' ) ) ] )
% 15.78/16.18 , clause( 100560, [ ~( =( 'c_Extraction_Osumbool_ORight',
% 15.78/16.18 'c_Extraction_Osumbool_OLeft' ) ) ] )
% 15.78/16.18 , clause( 100561, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ),
% 15.78/16.18 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'(
% 15.78/16.18 'c_minus'( X, Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T )
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100562, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X,
% 15.78/16.18 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites',
% 15.78/16.18 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100563, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites',
% 15.78/16.18 'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites',
% 15.78/16.18 'tc_set'( Y ) ) ] )
% 15.78/16.18 , clause( 100564, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 15.78/16.18 ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'(
% 15.78/16.18 Y ) ) ) ] )
% 15.78/16.18 , clause( 100565, [ ~( 'c_in'( 'c_union'( X, Y, Z ),
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X,
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100566, [ ~( 'c_in'( 'c_union'( X, Y, Z ),
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y,
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100567, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 15.78/16.18 ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 15.78/16.18 'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 15.78/16.18 , clause( 100568, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X,
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 15.78/16.18 , clause( 100569, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 15.78/16.18 'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 15.78/16.18 , clause( 100570, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y,
% 15.78/16.18 Z, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 15.78/16.18 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100571, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y,
% 15.78/16.18 Z, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z,
% 15.78/16.18 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100572, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~(
% 15.78/16.18 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X,
% 15.78/16.18 'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100573, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'(
% 15.78/16.18 'tc_nat' ) ) ) ] )
% 15.78/16.18 , clause( 100574, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ),
% 15.78/16.18 =( X, Y ) ] )
% 15.78/16.18 , clause( 100575, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y,
% 15.78/16.18 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100576, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 15.78/16.18 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100577, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 15.78/16.18 , =( X, 'c_0' ) ] )
% 15.78/16.18 , clause( 100578, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' )
% 15.78/16.18 ] )
% 15.78/16.18 , clause( 100579, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X,
% 15.78/16.18 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100580, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 15.78/16.18 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100581, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 15.78/16.18 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 15.78/16.18 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 15.78/16.18 , clause( 100582, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ),
% 15.78/16.18 =( X, 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100583, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ),
% 15.78/16.18 =( Y, 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100584, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 15.78/16.18 , 'c_List_Olist_ONil', X ) ) ] )
% 15.78/16.18 , clause( 100585, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ),
% 15.78/16.18 =( X, 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100586, [ =( 'c_List_Olist_ONil', 'c_List_Orev'(
% 15.78/16.18 'c_List_Olist_ONil', X ) ) ] )
% 15.78/16.18 , clause( 100587, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 15.78/16.18 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 15.78/16.18 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 15.78/16.18 , clause( 100588, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 15.78/16.18 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 15.78/16.18 'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100589, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 15.78/16.18 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 15.78/16.18 'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 15.78/16.18 , clause( 100590, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 15.78/16.18 ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 15.78/16.18 'tc_List_Olist'( Z ) ) ] )
% 15.78/16.18 , clause( 100591, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 15.78/16.18 ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 15.78/16.18 'tc_List_Olist'( Z ) ) ] )
% 15.78/16.18 , clause( 100592, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 15.78/16.18 Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 15.78/16.18 , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 15.78/16.18 Z ) ) ] )
% 15.78/16.18 , clause( 100593, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 15.78/16.18 =( X, 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100594, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 15.78/16.18 =( Y, 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100595, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 15.78/16.18 , X ), 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100596, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) )
% 15.78/16.18 , =( X, T ) ] )
% 15.78/16.18 , clause( 100597, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X,
% 15.78/16.18 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100598, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 15.78/16.18 , clause( 100599, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y,
% 15.78/16.18 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100600, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 15.78/16.18 , clause( 100601, [ ~( =( 'c_List_Ochar_OChar'( X, Y ),
% 15.78/16.18 'c_List_Ochar_OChar'( Z, T ) ) ), =( X, Z ) ] )
% 15.78/16.18 , clause( 100602, [ ~( =( 'c_List_Ochar_OChar'( X, Y ),
% 15.78/16.18 'c_List_Ochar_OChar'( Z, T ) ) ), =( Y, T ) ] )
% 15.78/16.18 , clause( 100603, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 15.78/16.18 ), =( X, 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100604, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'(
% 15.78/16.18 X ) ), 'c_0' ) ] )
% 15.78/16.18 , clause( 100605, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil'
% 15.78/16.18 , 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100606, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 15.78/16.18 ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100607, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 15.78/16.18 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =(
% 15.78/16.18 'c_List_Oremdups'( X, Y ), X ) ] )
% 15.78/16.18 , clause( 100608, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =(
% 15.78/16.18 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ),
% 15.78/16.18 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 15.78/16.18 , clause( 100609, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y,
% 15.78/16.18 Z ) ) ) ] )
% 15.78/16.18 , clause( 100610, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 15.78/16.18 'c_List_Olist_ONil' ) ) ] )
% 15.78/16.18 , clause( 100611, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 15.78/16.18 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100612, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 15.78/16.18 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 15.78/16.18 , clause( 100613, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 15.78/16.18 , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'(
% 15.78/16.18 Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 15.78/16.18 , clause( 100614, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 15.78/16.18 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 15.78/16.18 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 15.78/16.18 , clause( 100615, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ),
% 15.78/16.18 =( X, 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100616, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ),
% 15.78/16.18 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100617, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) )
% 15.78/16.18 , =( X, Z ) ] )
% 15.78/16.18 , clause( 100618, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) )
% 15.78/16.18 , =( Y, T ) ] )
% 15.78/16.18 , clause( 100619, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y,
% 15.78/16.18 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100620, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 15.78/16.18 , clause( 100621, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y,
% 15.78/16.18 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100622, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 15.78/16.18 , clause( 100623, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 15.78/16.18 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100624, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X
% 15.78/16.18 ) ) ] )
% 15.78/16.18 , clause( 100625, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 15.78/16.18 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100626, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ),
% 15.78/16.18 'c_emptyset' ) ] )
% 15.78/16.18 , clause( 100627, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 15.78/16.18 , clause( 100628, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 15.78/16.18 ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100629, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 15.78/16.18 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100630, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 15.78/16.18 'c_less'( X, Y, 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100631, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 15.78/16.18 , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100632, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 15.78/16.18 , clause( 100633, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 15.78/16.18 , clause( 100634, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ),
% 15.78/16.18 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X,
% 15.78/16.18 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100635, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 15.78/16.18 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100636, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 15.78/16.18 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100637, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 15.78/16.18 'c_0' ) ] )
% 15.78/16.18 , clause( 100638, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y,
% 15.78/16.18 'c_0' ) ] )
% 15.78/16.18 , clause( 100639, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 15.78/16.18 , clause( 100640, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0'
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100641, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100642, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 15.78/16.18 'c_0' ) ] )
% 15.78/16.18 , clause( 100643, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100644, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 15.78/16.18 , clause( 100645, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100646, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 15.78/16.18 , clause( 100647, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100648, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' )
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100649, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' )
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100650, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100651, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100652, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100653, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y,
% 15.78/16.18 X ) ) ] )
% 15.78/16.18 , clause( 100654, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) )
% 15.78/16.18 ), =( X, U ) ] )
% 15.78/16.18 , clause( 100655, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) )
% 15.78/16.18 ), =( Y, W ) ] )
% 15.78/16.18 , clause( 100656, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId',
% 15.78/16.18 'tc_prod'( Y, Y ) ) ] )
% 15.78/16.18 , clause( 100657, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z,
% 15.78/16.18 'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y,
% 15.78/16.18 'tc_prod'( T, U ) ) ] )
% 15.78/16.18 , clause( 100658, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 15.78/16.18 ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 15.78/16.18 , Z, T ), T ) ] )
% 15.78/16.18 , clause( 100659, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ),
% 15.78/16.18 'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'(
% 15.78/16.18 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 15.78/16.18 , clause( 100660, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 15.78/16.18 ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ),
% 15.78/16.18 'tc_prod'( T, Z ) ) ] )
% 15.78/16.18 , clause( 100661, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 15.78/16.18 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 15.78/16.18 , clause( 100662, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 15.78/16.18 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ),
% 15.78/16.18 =( Y, Z ) ] )
% 15.78/16.18 , clause( 100663, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 15.78/16.18 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 15.78/16.18 , clause( 100664, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y
% 15.78/16.18 , Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 15.78/16.18 , clause( 100665, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 15.78/16.18 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 15.78/16.18 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 15.78/16.18 , clause( 100666, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 15.78/16.18 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 15.78/16.18 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 15.78/16.18 , clause( 100667, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 15.78/16.18 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =(
% 15.78/16.18 Y, Z ) ] )
% 15.78/16.18 , clause( 100668, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 15.78/16.18 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 15.78/16.18 , clause( 100669, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y
% 15.78/16.18 , Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 15.78/16.18 , clause( 100670, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 15.78/16.18 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 15.78/16.18 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 15.78/16.18 , clause( 100671, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 15.78/16.18 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ),
% 15.78/16.18 'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 15.78/16.18 , clause( 100672, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 15.78/16.18 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 15.78/16.18 ) ) ), =( Y, Z ) ] )
% 15.78/16.18 , clause( 100673, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 15.78/16.18 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 15.78/16.18 , clause( 100674, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X
% 15.78/16.18 ) ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 15.78/16.18 , clause( 100675, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 15.78/16.18 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Y, X ),
% 15.78/16.18 'c_SetInterval_OgreaterThan'( Z, X ), 'tc_set'( X ) ) ), 'c_lessequals'(
% 15.78/16.18 Z, Y, X ) ] )
% 15.78/16.18 , clause( 100676, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 15.78/16.18 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'(
% 15.78/16.18 Z, X ), 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 15.78/16.18 , clause( 100677, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 15.78/16.18 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 15.78/16.18 , =( Y, Z ) ] )
% 15.78/16.18 , clause( 100678, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 15.78/16.18 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 15.78/16.18 , clause( 100679, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X
% 15.78/16.18 ) ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 15.78/16.18 , clause( 100680, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 15.78/16.18 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 15.78/16.18 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ), 'c_lessequals'( Y,
% 15.78/16.18 Z, X ) ] )
% 15.78/16.18 , clause( 100681, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 15.78/16.18 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y
% 15.78/16.18 , X ), 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 15.78/16.18 , clause( 100682, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 15.78/16.18 'tc_set'( Z ) ), Z ) ) ] )
% 15.78/16.18 , clause( 100683, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'(
% 15.78/16.18 Z ) ), Z ) ] )
% 15.78/16.18 , clause( 100684, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 15.78/16.18 'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 15.78/16.18 , clause( 100685, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ),
% 15.78/16.18 'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X,
% 15.78/16.18 'tc_set'( Y ) ) ] )
% 15.78/16.18 , clause( 100686, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 15.78/16.18 'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'(
% 15.78/16.18 Z ) ), 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100687, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y,
% 15.78/16.18 'tc_set'( Z ) ), Z ) ) ] )
% 15.78/16.18 , clause( 100688, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ),
% 15.78/16.18 'c_in'( X, Y, T ) ] )
% 15.78/16.18 , clause( 100689, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 15.78/16.18 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 15.78/16.18 , clause( 100690, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 15.78/16.18 , T ) ] )
% 15.78/16.18 , clause( 100691, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 15.78/16.18 , T ) ] )
% 15.78/16.18 , clause( 100692, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'(
% 15.78/16.18 X, 'c_inter'( T, Y, Z ), Z ) ] )
% 15.78/16.18 , clause( 100693, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 15.78/16.18 'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 15.78/16.18 , clause( 100694, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 15.78/16.18 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100695, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 15.78/16.18 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100696, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 15.78/16.18 , clause( 100697, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 15.78/16.18 , Z ) ] )
% 15.78/16.18 , clause( 100698, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 15.78/16.18 , Z ) ] )
% 15.78/16.18 , clause( 100699, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 15.78/16.18 , T ), 'c_in'( X, Y, T ) ] )
% 15.78/16.18 , clause( 100700, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X,
% 15.78/16.18 'c_emptyset' ) ] )
% 15.78/16.18 , clause( 100701, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y,
% 15.78/16.18 'c_emptyset' ) ] )
% 15.78/16.18 , clause( 100702, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ),
% 15.78/16.18 'c_emptyset' ) ] )
% 15.78/16.18 , clause( 100703, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z )
% 15.78/16.18 ) ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 15.78/16.18 , clause( 100704, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 15.78/16.18 , clause( 100705, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z
% 15.78/16.18 ), Z ) ] )
% 15.78/16.18 , clause( 100706, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 15.78/16.18 , clause( 100707, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X,
% 15.78/16.18 Z, T ), =( X, Y ) ] )
% 15.78/16.18 , clause( 100708, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 15.78/16.18 , clause( 100709, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T,
% 15.78/16.18 'c_emptyset', Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100710, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T,
% 15.78/16.18 'c_emptyset', Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z
% 15.78/16.18 ), 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100711, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z )
% 15.78/16.18 , 'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y,
% 15.78/16.18 'c_emptyset', Z ) ) ] )
% 15.78/16.18 , clause( 100712, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z,
% 15.78/16.18 T, Y ) ) ), =( Z, X ) ] )
% 15.78/16.18 , clause( 100713, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z,
% 15.78/16.18 T, Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'(
% 15.78/16.18 Y ) ) ] )
% 15.78/16.18 , clause( 100714, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z )
% 15.78/16.18 , 'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y,
% 15.78/16.18 X, Z ) ) ] )
% 15.78/16.18 , clause( 100715, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 15.78/16.18 T, Y, Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100716, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 15.78/16.18 T, Z, Y ) ) ) ] )
% 15.78/16.18 , clause( 100717, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 15.78/16.18 T, Y, Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100718, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 15.78/16.18 T, Z, Y ) ) ) ] )
% 15.78/16.18 , clause( 100719, [ ~( 'c_Wellfounded__Recursion_Oacyclic'(
% 15.78/16.18 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 15.78/16.18 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 15.78/16.18 , clause( 100720, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 15.78/16.18 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100721, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 15.78/16.18 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 15.78/16.18 'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 15.78/16.18 , clause( 100722, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 15.78/16.18 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'(
% 15.78/16.18 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 15.78/16.18 'tc_prod'( Z, Z ) ) ) ] )
% 15.78/16.18 , clause( 100723, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 15.78/16.18 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 15.78/16.18 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 15.78/16.18 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 15.78/16.18 , clause( 100724, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 15.78/16.18 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 15.78/16.18 'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 15.78/16.18 , clause( 100725, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 15.78/16.18 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 15.78/16.18 , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100726, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 15.78/16.18 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 15.78/16.18 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 15.78/16.18 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 15.78/16.18 , clause( 100727, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 15.78/16.18 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 15.78/16.18 ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100728, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 15.78/16.18 , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'(
% 15.78/16.18 'tc_nat', 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100729, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100730, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 15.78/16.18 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 15.78/16.18 , clause( 100731, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 15.78/16.18 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 15.78/16.18 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 15.78/16.18 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 15.78/16.18 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 15.78/16.18 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 15.78/16.18 , clause( 100732, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 15.78/16.18 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 15.78/16.18 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 15.78/16.18 , clause( 100733, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 15.78/16.18 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 15.78/16.18 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 15.78/16.18 , clause( 100734, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 15.78/16.18 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 15.78/16.18 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 15.78/16.18 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 15.78/16.18 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 15.78/16.18 , clause( 100735, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U
% 15.78/16.18 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 15.78/16.18 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 15.78/16.18 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 15.78/16.18 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 15.78/16.18 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 15.78/16.18 , clause( 100736, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U
% 15.78/16.18 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 15.78/16.18 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 15.78/16.18 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 15.78/16.18 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 15.78/16.18 , clause( 100737, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U
% 15.78/16.18 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 15.78/16.18 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 15.78/16.18 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 15.78/16.18 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 15.78/16.18 , clause( 100738, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U
% 15.78/16.18 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 15.78/16.18 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 15.78/16.18 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 15.78/16.18 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 15.78/16.18 , clause( 100739, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 15.78/16.18 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 15.78/16.18 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 15.78/16.18 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 15.78/16.18 , clause( 100740, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 15.78/16.18 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 15.78/16.18 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 15.78/16.18 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 15.78/16.18 , clause( 100741, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 15.78/16.18 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 15.78/16.18 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 15.78/16.18 , clause( 100742, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 15.78/16.18 , clause( 100743, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 15.78/16.18 , clause( 100744, [ ~( 'c_in'( X, Y, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 15.78/16.18 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 15.78/16.18 , clause( 100745, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 15.78/16.18 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 15.78/16.18 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 15.78/16.18 ) ) ] )
% 15.78/16.18 , clause( 100746, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 15.78/16.18 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100747, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 15.78/16.18 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100748, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U
% 15.78/16.18 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 15.78/16.18 , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 15.78/16.18 , clause( 100749, [ ~( 'c_in'( X, Y, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_Ousum'( Y,
% 15.78/16.18 U, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 15.78/16.18 , clause( 100750, [ ~( 'c_in'( X, Y, 'tc_set'(
% 15.78/16.18 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_Ousum'( U,
% 15.78/16.18 Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 15.78/16.18 , clause( 100751, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100752, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100753, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ),
% 15.78/16.18 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100754, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ),
% 15.78/16.18 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100755, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 15.78/16.18 , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100756, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites',
% 15.78/16.18 'tc_set'( X ) ) ] )
% 15.78/16.18 , clause( 100757, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 15.78/16.18 ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 15.78/16.18 ) ) ] )
% 15.78/16.18 , clause( 100758, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 15.78/16.18 ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100759, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 15.78/16.18 ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100760, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 15.78/16.18 'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X,
% 15.78/16.18 'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites',
% 15.78/16.18 'tc_set'( Y ) ) ] )
% 15.78/16.18 , clause( 100761, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 15.78/16.18 'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ),
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ),
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 15.78/16.18 , clause( 100762, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 15.78/16.18 'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100763, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 15.78/16.18 'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100764, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'(
% 15.78/16.18 Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 15.78/16.18 , clause( 100765, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ),
% 15.78/16.18 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100766, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 15.78/16.18 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100767, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100768, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100769, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y,
% 15.78/16.18 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100770, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X,
% 15.78/16.18 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100771, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ),
% 15.78/16.18 'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ),
% 15.78/16.18 'tc_IntDef_Oint' ) ) ] )
% 15.78/16.18 , clause( 100772, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 15.78/16.18 , clause( 100773, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 15.78/16.18 , 'tc_set'( Y ) ) ] )
% 15.78/16.18 , clause( 100774, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 15.78/16.18 Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100775, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 15.78/16.18 ) ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ),
% 15.78/16.18 Z ) ] )
% 15.78/16.18 , clause( 100776, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 15.78/16.18 , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 15.78/16.18 , clause( 100777, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y
% 15.78/16.18 ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 15.78/16.18 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100778, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 15.78/16.18 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 15.78/16.18 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 15.78/16.18 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 15.78/16.18 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 15.78/16.18 , clause( 100779, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 15.78/16.18 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 15.78/16.18 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 15.78/16.18 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 15.78/16.18 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 15.78/16.18 , clause( 100780, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 15.78/16.18 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 15.78/16.18 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 15.78/16.18 'tc_prod'( Z, Z ) ) ] )
% 15.78/16.18 , clause( 100781, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 15.78/16.18 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 15.78/16.18 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 15.78/16.18 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 15.78/16.18 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 15.78/16.18 , clause( 100782, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 15.78/16.18 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 15.78/16.18 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 15.78/16.18 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 15.78/16.18 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 15.78/16.18 , clause( 100783, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 15.78/16.18 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 15.78/16.18 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 15.78/16.18 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 15.78/16.18 'tc_prod'( T, T ) ) ] )
% 15.78/16.18 , clause( 100784, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 15.78/16.18 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 15.78/16.18 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 15.78/16.18 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100785, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 15.78/16.18 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 15.78/16.18 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 15.78/16.18 'c_List_Olist_ONil' ) ] )
% 15.78/16.18 , clause( 100786, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 15.78/16.18 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y,
% 15.78/16.18 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 15.78/16.18 , clause( 100787, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 15.78/16.18 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 15.78/16.18 , clause( 100788, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'(
% 15.78/16.18 Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 15.78/16.18 , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 15.78/16.18 , clause( 100789, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ),
% 15.78/16.18 'tc_List_Olist'( Y ) ) ] )
% 15.78/16.18 , clause( 100790, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 15.78/16.18 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 15.78/16.18 Y ) ) ] )
% 15.78/16.18 , clause( 100791, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 15.78/16.18 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 15.78/16.18 ) ) ] )
% 15.78/16.18 , clause( 100792, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100793, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100794, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100795, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100796, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 15.78/16.18 Y, X ) ] )
% 15.78/16.18 , clause( 100797, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ),
% 15.78/16.18 'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y,
% 15.78/16.18 'tc_prod'( Z, T ) ) ] )
% 15.78/16.18 , clause( 100798, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 15.78/16.18 ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 15.78/16.18 , clause( 100799, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ),
% 15.78/16.18 =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 15.78/16.18 ) ) ] )
% 15.78/16.18 , clause( 100800, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) )
% 15.78/16.18 , 'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 15.78/16.18 , clause( 100801, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) )
% 15.78/16.18 , 'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y,
% 15.78/16.18 'tc_prod'( T, U ) ) ] )
% 15.78/16.18 , clause( 100802, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 15.78/16.18 ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 15.78/16.18 ), U ) ] )
% 15.78/16.18 , clause( 100803, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ),
% 15.78/16.18 'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y,
% 15.78/16.18 'tc_prod'( Z, T ) ) ] )
% 15.78/16.18 , clause( 100804, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 15.78/16.18 ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 15.78/16.18 , clause( 100805, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 15.78/16.18 'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 15.78/16.18 , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100806, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 15.78/16.18 'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 15.78/16.18 ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 15.78/16.18 , clause( 100807, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z
% 15.78/16.18 , Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ),
% 15.78/16.18 'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 15.78/16.18 , clause( 100808, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z
% 15.78/16.18 , Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 15.78/16.18 , clause( 100809, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z )
% 15.78/16.18 , 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 15.78/16.18 , clause( 100810, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W )
% 15.78/16.18 , 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z
% 15.78/16.18 , X, T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y,
% 15.78/16.18 'tc_prod'( T, U ) ) ] )
% 15.78/16.18 , clause( 100811, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W )
% 15.78/16.18 , 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z
% 15.78/16.18 , X, T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z,
% 15.78/16.18 'tc_prod'( W, T ) ) ] )
% 15.78/16.18 , clause( 100812, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W )
% 15.78/16.18 , 'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 15.78/16.18 , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 15.78/16.18 , clause( 100813, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 15.78/16.18 ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ),
% 15.78/16.18 'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 15.78/16.18 ), 'tc_prod'( V0, T ) ) ] )
% 15.78/16.18 , clause( 100814, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat'
% 15.78/16.18 ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100815, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 15.78/16.18 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ) ] )
% 15.78/16.18 , clause( 100816, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 15.78/16.18 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100817, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 15.78/16.18 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ) ] )
% 15.78/16.18 , clause( 100818, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100819, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 15.78/16.18 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100820, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 15.78/16.18 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ) ] )
% 15.78/16.18 , clause( 100821, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 15.78/16.18 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100822, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 15.78/16.18 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ) ] )
% 15.78/16.18 , clause( 100823, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 15.78/16.18 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 15.78/16.18 , clause( 100824, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'(
% 15.78/16.18 'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100825, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ),
% 15.78/16.18 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 15.78/16.18 , clause( 100826, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 15.78/16.18 , clause( 100827, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 15.78/16.18 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100828, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 15.78/16.18 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 15.78/16.18 , clause( 100829, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 15.78/16.18 , clause( 100830, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 15.78/16.18 Y, X, 'tc_set'( Z ) ) ) ] )
% 15.78/16.18 , clause( 100831, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 15.78/16.18 , Y, 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100832, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 15.78/16.18 , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 15.78/16.18 , clause( 100833, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ),
% 15.78/16.18 =( X, Y ) ] )
% 15.78/16.18 , clause( 100834, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 15.78/16.18 , clause( 100835, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z,
% 15.78/16.18 'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 15.78/16.18 , clause( 100836, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T,
% 15.78/16.18 'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 15.78/16.18 , clause( 100837, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 15.78/16.18 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100838, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 15.78/16.18 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 15.78/16.18 , clause( 100839, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 15.78/16.18 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 15.78/16.18 , clause( 100840, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 15.78/16.18 , clause( 100841, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X,
% 15.78/16.18 Z, T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 15.78/16.18 , clause( 100842, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X,
% 15.78/16.18 Z, T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 15.78/16.18 , clause( 100843, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 15.78/16.18 'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 15.78/16.18 , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 15.78/16.18 , T ), U, T ) ) ] )
% 15.78/16.18 , clause( 100844, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 15.78/16.18 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ),
% 15.78/16.18 =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 15.78/16.18 , clause( 100845, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 15.78/16.18 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ),
% 15.78/16.18 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 15.78/16.18 , clause( 100846, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 15.78/16.18 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ),
% 15.78/16.18 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 15.78/16.18 , clause( 100847, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 15.78/16.18 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 15.78/16.18 , clause( 100848, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 15.78/16.18 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 15.78/16.18 , clause( 100849, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 15.78/16.18 ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 15.78/16.18 , Z ), 'tc_prod'( Z, Z ) ) ] )
% 15.78/16.18 , clause( 100850, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 15.78/16.18 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 15.78/16.18 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 15.78/16.18 'tc_prod'( Z, Z ) ) ] )
% 15.78/16.18 , clause( 100851, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 15.78/16.18 , clause( 100852, [ 'c_Relation_Otrans'(
% 15.78/16.18 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100853, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~(
% 15.78/16.18 'c_Relation_Otrans'( Z, T ) ), 'c_Relation_Otrans'(
% 15.78/16.18 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 15.78/16.18 ] )
% 15.78/16.18 , clause( 100854, [ 'c_Wellfounded__Recursion_Owf'(
% 15.78/16.18 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 15.78/16.18 , clause( 100855, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 15.78/16.18 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 15.78/16.18 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 15.78/16.18 ] )
% 15.78/16.18 , clause( 100856, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 15.78/16.18 ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 15.78/16.18 , clause( 100857, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100858, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100859, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' )
% 15.78/16.18 ] )
% 15.78/16.18 , clause( 100860, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100861, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100862, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100863, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100864, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100865, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100866, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100867, [ 'class_Ring__and__Field_Osemiring__0__cancel'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100868, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100869, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100870, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100871, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100872, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100873, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' )
% 15.78/16.18 ] )
% 15.78/16.18 , clause( 100874, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100875, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100876, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100877, [ 'class_Ring__and__Field_Osemiring__1__cancel'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100878, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100879, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100880, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100881, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100882, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100883, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100884, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 15.78/16.18 )
% 15.78/16.18 , clause( 100885, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100886, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100887, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100888, [
% 15.78/16.18 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100889, [
% 15.78/16.18 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100890, [
% 15.78/16.18 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100891, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100892, [ 'class_Ring__and__Field_Opordered__semiring'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100893, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100894, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100895, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100896, [
% 15.78/16.18 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100897, [
% 15.78/16.18 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100898, [ 'class_Ring__and__Field_Oaxclass__abs__if'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100899, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100900, [ 'class_OrderedGroup_Olordered__ab__group'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100901, [ 'class_Ring__and__Field_Opordered__ring'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100902, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100903, [ 'class_OrderedGroup_Olordered__ab__group__abs'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100904, [ 'class_OrderedGroup_Olordered__ab__group__meet'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100905, [ 'class_OrderedGroup_Olordered__ab__group__join'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100906, [ 'class_Ring__and__Field_Olordered__ring'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100907, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100908, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100909, [ 'class_Ring__and__Field_Oordered__semidom'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100910, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100911, [ 'class_Ring__and__Field_Oordered__idom'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100912, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100913, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100914, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100915, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100916, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100917, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100918, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100919, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100920, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 15.78/16.18 ) ] )
% 15.78/16.18 , clause( 100921, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 15.78/16.18 'tc_IntDef_Oint' ) ] )
% 15.78/16.18 , clause( 100922, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 15.78/16.18 ] )
% 15.78/16.18 , clause( 100923, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 15.78/16.18 , clause( 100924, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 15.78/16.18 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 15.78/16.18 ] )
% 15.78/16.18 , clause( 100925, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 15.78/16.19 , clause( 100926, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100927, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100928, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100929, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100930, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100931, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat'
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 100932, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100933, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100934, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100935, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100936, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100937, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100938, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100939, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100940, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100941, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 15.78/16.19 ] )
% 15.78/16.19 , clause( 100942, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100943, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100944, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100945, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 15.78/16.19 ] )
% 15.78/16.19 , clause( 100946, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 100947, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 15.78/16.19 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100948, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 100949, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100950, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 100951, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100952, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100953, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 15.78/16.19 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100954, [
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100955, [
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100956, [
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100957, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat'
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 100958, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100959, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100960, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100961, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100962, [
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100963, [
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100964, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 15.78/16.19 ] )
% 15.78/16.19 , clause( 100965, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100966, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100967, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100968, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100969, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100970, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100971, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100972, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 100973, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 15.78/16.19 , clause( 100974, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 15.78/16.19 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 15.78/16.19 ] )
% 15.78/16.19 , clause( 100975, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 15.78/16.19 , clause( 100976, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 15.78/16.19 , clause( 100977, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 15.78/16.19 , clause( 100978, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 15.78/16.19 'class_Finite__Set_Ofinite'( X ) ) ] )
% 15.78/16.19 , clause( 100979, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 15.78/16.19 , clause( 100980, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 15.78/16.19 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 15.78/16.19 ] )
% 15.78/16.19 , clause( 100981, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 100982, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 100983, [ ~( 'class_LOrder_Olorder'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 100984, [ ~( 'class_LOrder_Olorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 100985, [ ~( 'class_LOrder_Olorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 100986, [ ~( 'class_LOrder_Olorder'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 100987, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 100988, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 100989, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 100990, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 100991, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 100992, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 100993, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 100994, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 100995, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 100996, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 100997, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 100998, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 100999, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101000, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 15.78/16.19 , clause( 101001, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101002, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101003, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101004, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101005, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101006, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101007, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 15.78/16.19 , clause( 101008, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101009, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring__1'( X ) ] )
% 15.78/16.19 , clause( 101010, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101011, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 15.78/16.19 , clause( 101012, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101013, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Numeral_Onumber'( X ) ] )
% 15.78/16.19 , clause( 101014, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101015, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101016, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101017, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101018, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101019, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101020, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101021, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101022, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101023, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101024, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101025, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101026, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101027, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101028, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101029, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101030, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101031, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101032, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 15.78/16.19 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101033, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 15.78/16.19 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101034, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 15.78/16.19 ) ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101035, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 15.78/16.19 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101036, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101037, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 15.78/16.19 , 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101038, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101039, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101040, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101041, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101042, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101043, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101044, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101045, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101046, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101047, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101048, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101049, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101050, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101051, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101052, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101053, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101054, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101055, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101056, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101057, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101058, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101059, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101060, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101061, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101062, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101063, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101064, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101065, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 15.78/16.19 , clause( 101066, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101067, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101068, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101069, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101070, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101071, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101072, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101073, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101074, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101075, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101076, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101077, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101078, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101079, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101080, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101081, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101082, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101083, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101084, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101085, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101086, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101087, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101088, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101089, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101090, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101091, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101092, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 15.78/16.19 , clause( 101093, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101094, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101095, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101096, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101097, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101098, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101099, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101100, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101101, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101102, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 15.78/16.19 ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101103, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101104, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101105, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101106, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101107, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101108, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101109, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101110, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101111, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 15.78/16.19 , clause( 101112, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101113, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101114, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101115, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101116, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101117, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101118, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101119, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101120, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101121, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 15.78/16.19 ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101122, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101123, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101124, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101125, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101126, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101127, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101128, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101129, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101130, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101131, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101132, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101133, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101134, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101135, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101136, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101137, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101138, [ ~(
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_Orderings_Olinorder'( X ) ] )
% 15.78/16.19 , clause( 101139, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101140, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101141, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101142, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101143, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101144, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101145, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101146, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101147, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101148, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101149, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101150, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101151, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101152, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101153, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 15.78/16.19 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101154, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 15.78/16.19 X ) ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101155, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101156, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101157, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 15.78/16.19 X ) ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101158, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101159, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101160, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101161, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101162, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101163, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101164, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101165, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101166, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101167, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101168, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101169, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101170, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101171, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101172, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101173, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101174, [ ~(
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101175, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101176, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101177, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.78/16.19 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101178, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101179, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101180, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101181, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101182, [ ~( 'class_Orderings_Oorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101183, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'(
% 15.78/16.19 X ) ] )
% 15.78/16.19 , clause( 101184, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 101185, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101186, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101187, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101188, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101189, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101190, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101191, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101192, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101193, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 15.78/16.19 , clause( 101194, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101195, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 101196, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101197, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101198, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101199, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101200, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101201, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101202, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 101203, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101204, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101205, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'(
% 15.78/16.19 X ) ] )
% 15.78/16.19 , clause( 101206, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101207, [ ~( 'class_Power_Orecpower'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101208, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) )
% 15.78/16.19 , 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101209, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) )
% 15.78/16.19 , 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101210, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101211, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101212, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101213, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101214, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101215, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101216, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101217, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101218, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101219, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101220, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101221, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101222, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101223, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101224, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101225, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101226, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101227, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101228, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101229, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101230, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101231, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101232, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101233, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101234, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 15.78/16.19 , clause( 101235, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101236, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101237, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101238, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101239, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101240, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101241, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101242, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101243, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101244, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101245, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101246, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101247, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 15.78/16.19 , clause( 101248, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101249, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101250, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101251, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101252, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101253, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring__1'( X ) ] )
% 15.78/16.19 , clause( 101254, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101255, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101256, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101257, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101258, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101259, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101260, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101261, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101262, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101263, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101264, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101265, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101266, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101267, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101268, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101269, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101270, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101271, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101272, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101273, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101274, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101275, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101276, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101277, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101278, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101279, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101280, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101281, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101282, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101283, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101284, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101285, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101286, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101287, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101288, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101289, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101290, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101291, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101292, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101293, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101294, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101295, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101296, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101297, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101298, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101299, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101300, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101301, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101302, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101303, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101304, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101305, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101306, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101307, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101308, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101309, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101310, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101311, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101312, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101313, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 15.78/16.19 , clause( 101314, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101315, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101316, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101317, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101318, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101319, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101320, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101321, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101322, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101323, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101324, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101325, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101326, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101327, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101328, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101329, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101330, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101331, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101332, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101333, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101334, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101335, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101336, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 15.78/16.19 , 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101337, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 15.78/16.19 , 'class_HOL_Oinverse'( X ) ] )
% 15.78/16.19 , clause( 101338, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 15.78/16.19 , clause( 101339, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 15.78/16.19 , clause( 101340, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101341, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101342, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101343, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101344, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101345, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101346, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101347, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101348, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101349, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101350, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring__1'( X ) ] )
% 15.78/16.19 , clause( 101351, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101352, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101353, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101354, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101355, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101356, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101357, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101358, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101359, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101360, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101361, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101362, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_HOL_Oinverse'( X ) ] )
% 15.78/16.19 , clause( 101363, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oidom'( X ) ] )
% 15.78/16.19 , clause( 101364, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 15.78/16.19 , clause( 101365, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101366, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101367, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101368, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 15.78/16.19 , clause( 101369, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101370, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101371, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 15.78/16.19 , clause( 101372, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 15.78/16.19 , clause( 101373, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101374, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101375, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101376, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101377, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101378, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101379, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101380, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101381, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101382, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101383, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring__1'( X ) ] )
% 15.78/16.19 , clause( 101384, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101385, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101386, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101387, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101388, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101389, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101390, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101391, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101392, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101393, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101394, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101395, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 15.78/16.19 , clause( 101396, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101397, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101398, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101399, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 15.78/16.19 , clause( 101400, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101401, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101402, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 15.78/16.19 , clause( 101403, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101404, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101405, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101406, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101407, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101408, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101409, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101410, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101411, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101412, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101413, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101414, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101415, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101416, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101417, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101418, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101419, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 15.78/16.19 , clause( 101420, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 15.78/16.19 , clause( 101421, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101422, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101423, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101424, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 15.78/16.19 , clause( 101425, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101426, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 15.78/16.19 , clause( 101427, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101428, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101429, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101430, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 15.78/16.19 , clause( 101431, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101432, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101433, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101434, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101435, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101436, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101437, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101438, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Orderings_Olinorder'( X ) ] )
% 15.78/16.19 , clause( 101439, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101440, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101441, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101442, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101443, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101444, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101445, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101446, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101447, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101448, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101449, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101450, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 15.78/16.19 , clause( 101451, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 15.78/16.19 , clause( 101452, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101453, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101454, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101455, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101456, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101457, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101458, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101459, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101460, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101461, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101462, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101463, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ofield'( X ) ] )
% 15.78/16.19 , clause( 101464, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_HOL_Oinverse'( X ) ] )
% 15.78/16.19 , clause( 101465, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 15.78/16.19 , clause( 101466, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101467, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101468, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101469, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101470, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101471, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101472, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101473, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101474, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101475, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oidom'( X ) ] )
% 15.78/16.19 , clause( 101476, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101477, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101478, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101479, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101480, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101481, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101482, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101483, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101484, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101485, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101486, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 15.78/16.19 , clause( 101487, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101488, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 15.78/16.19 , clause( 101489, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101490, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101491, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 15.78/16.19 , clause( 101492, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 15.78/16.19 , clause( 101493, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101494, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101495, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 15.78/16.19 , clause( 101496, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 15.78/16.19 , clause( 101497, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 15.78/16.19 , clause( 101498, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101499, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Orderings_Olinorder'( X ) ] )
% 15.78/16.19 , clause( 101500, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 15.78/16.19 , clause( 101501, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 15.78/16.19 , clause( 101502, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 15.78/16.19 , clause( 101503, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 15.78/16.19 , clause( 101504, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101505, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 15.78/16.19 , clause( 101506, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 15.78/16.19 , clause( 101507, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 15.78/16.19 , clause( 101508, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring__1'( X ) ] )
% 15.78/16.19 , clause( 101509, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 15.78/16.19 , clause( 101510, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101511, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101512, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101513, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101514, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101515, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101516, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101517, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101518, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101519, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101520, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 15.78/16.19 , clause( 101521, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101522, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101523, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101524, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 15.78/16.19 , clause( 101525, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 15.78/16.19 , clause( 101526, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101527, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101528, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101529, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101530, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101531, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101532, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101533, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101534, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101535, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101536, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring__1'( X ) ] )
% 15.78/16.19 , clause( 101537, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101538, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101539, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101540, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101541, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101542, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101543, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101544, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101545, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101546, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101547, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101548, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 15.78/16.19 , clause( 101549, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 15.78/16.19 , clause( 101550, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101551, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Orderings_Olinorder'( X ) ] )
% 15.78/16.19 , clause( 101552, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101553, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101554, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101555, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101556, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101557, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101558, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101559, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 15.78/16.19 , clause( 101560, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101561, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101562, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101563, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101564, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101565, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 15.78/16.19 , clause( 101566, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 15.78/16.19 , clause( 101567, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 15.78/16.19 , clause( 101568, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 15.78/16.19 , clause( 101569, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101570, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 15.78/16.19 , clause( 101571, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 15.78/16.19 , clause( 101572, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 15.78/16.19 , clause( 101573, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 15.78/16.19 , clause( 101574, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101575, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 15.78/16.19 , clause( 101576, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 15.78/16.19 , clause( 101577, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oidom'( X ) ] )
% 15.78/16.19 , clause( 101578, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101579, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 15.78/16.19 , clause( 101580, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101581, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101582, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101583, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101584, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101585, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101586, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101587, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101588, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101589, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 15.78/16.19 , clause( 101590, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101591, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Orderings_Olinorder'( X ) ] )
% 15.78/16.19 , clause( 101592, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101593, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101594, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101595, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101596, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101597, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101598, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 15.78/16.19 , clause( 101599, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101600, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101601, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101602, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101603, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 15.78/16.19 , clause( 101604, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 15.78/16.19 , clause( 101605, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101606, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101607, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 15.78/16.19 , clause( 101608, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 15.78/16.19 , clause( 101609, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 15.78/16.19 , clause( 101610, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 15.78/16.19 , clause( 101611, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 15.78/16.19 , clause( 101612, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 15.78/16.19 , clause( 101613, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101614, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101615, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101616, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101617, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101618, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.78/16.19 ), 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101619, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101620, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 15.78/16.19 , clause( 101621, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101622, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101623, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101624, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101625, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101626, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101627, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101628, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101629, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101630, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101631, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101632, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101633, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101634, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101635, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101636, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 15.78/16.19 , clause( 101637, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 15.78/16.19 , clause( 101638, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101639, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Orderings_Olinorder'( X ) ] )
% 15.78/16.19 , clause( 101640, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101641, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101642, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101643, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101644, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101645, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101646, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101647, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 15.78/16.19 , clause( 101648, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101649, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101650, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101651, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101652, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101653, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101654, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101655, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101656, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101657, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101658, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101659, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101660, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101661, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 15.78/16.19 , clause( 101662, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101663, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101664, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101665, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 101666, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 101667, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101668, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101669, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101670, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101671, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101672, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101673, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101674, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 15.78/16.19 , clause( 101675, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101676, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101677, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101678, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101679, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101680, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101681, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101682, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 101683, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101684, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101685, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101686, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101687, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101688, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101689, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101690, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101691, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101692, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101693, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101694, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 15.78/16.19 , clause( 101695, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101696, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101697, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101698, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101699, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101700, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101701, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101702, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101703, [ ~(
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101704, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101705, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101706, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101707, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101708, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101709, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101710, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101711, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101712, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101713, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101714, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101715, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101716, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101717, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101718, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101719, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101720, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 15.78/16.19 , clause( 101721, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101722, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101723, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101724, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101725, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101726, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101727, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101728, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101729, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101730, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101731, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101732, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101733, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101734, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101735, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101736, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101737, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101738, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101739, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101740, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101741, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101742, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101743, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101744, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X )
% 15.78/16.19 ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101745, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 15.78/16.19 , clause( 101746, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 15.78/16.19 , clause( 101747, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101748, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101749, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101750, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101751, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101752, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101753, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101754, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101755, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101756, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101757, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101758, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101759, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101760, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'(
% 15.78/16.19 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101761, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101762, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101763, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101764, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101765, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101766, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101767, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101768, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 15.78/16.19 , clause( 101769, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101770, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101771, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101772, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101773, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101774, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 15.78/16.19 , clause( 101775, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101776, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 15.78/16.19 , clause( 101777, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101778, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101779, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101780, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101781, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101782, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101783, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101784, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101785, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101786, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101787, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101788, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101789, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101790, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101791, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101792, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101793, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101794, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101795, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101796, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101797, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101798, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101799, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101800, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101801, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101802, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101803, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101804, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101805, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101806, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101807, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101808, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101809, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101810, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oring'( X ) ] )
% 15.78/16.19 , clause( 101811, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 15.78/16.19 , clause( 101812, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101813, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101814, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101815, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101816, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101817, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101818, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101819, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101820, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101821, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 15.78/16.19 , clause( 101822, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_HOL_Ominus'( X ) ] )
% 15.78/16.19 , clause( 101823, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101824, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101825, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101826, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101827, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101828, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101829, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101830, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101831, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101832, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101833, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101834, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101835, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101836, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101837, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101838, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101839, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101840, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101841, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101842, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101843, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101844, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101845, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101846, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101847, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101848, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101849, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101850, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101851, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101852, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101853, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101854, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101855, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101856, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101857, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101858, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101859, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101860, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101861, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101862, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101863, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101864, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101865, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 15.78/16.19 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101866, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 15.78/16.19 , clause( 101867, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 15.78/16.19 , clause( 101868, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_HOL_Oone'( X ) ] )
% 15.78/16.19 , clause( 101869, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 15.78/16.19 , clause( 101870, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_HOL_Otimes'( X ) ] )
% 15.78/16.19 , clause( 101871, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101872, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101873, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 15.78/16.19 , clause( 101874, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 15.78/16.19 , clause( 101875, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 15.78/16.19 , clause( 101876, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 15.78/16.19 , clause( 101877, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_HOL_Ozero'( X ) ] )
% 15.78/16.19 , clause( 101878, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101879, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 15.78/16.19 , clause( 101880, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_HOL_Oplus'( X ) ] )
% 15.78/16.19 , clause( 101881, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 15.78/16.19 , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 15.78/16.19 , clause( 101882, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oord'( X ) ] )
% 15.78/16.19 , clause( 101883, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 15.78/16.19 'class_Orderings_Oorder'( X ) ] )
% 15.78/16.19 , clause( 101884, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 15.78/16.19 'class_LOrder_Omeet__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101885, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 15.78/16.19 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 15.78/16.19 , clause( 101886, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 15.78/16.19 'class_LOrder_Olorder'( X ) ] )
% 15.78/16.19 , clause( 101887, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 15.78/16.19 'class_Orderings_Olinorder'( X ) ] )
% 15.78/16.19 , clause( 101888, [ 'c_in'( 'c_Zorn_OUnion__lemma0__1'( X, Y, Z, T ), Z,
% 15.78/16.19 'tc_set'( T ) ), 'c_lessequals'( Y, 'c_Union'( Z, T ), 'tc_set'( T ) ),
% 15.78/16.19 'c_lessequals'( 'c_Union'( Z, T ), X, 'tc_set'( T ) ) ] )
% 15.78/16.19 , clause( 101889, [ ~( 'c_lessequals'( 'c_Zorn_OUnion__lemma0__1'( X, Y, Z
% 15.78/16.19 , T ), X, 'tc_set'( T ) ) ), 'c_lessequals'( Y, 'c_Union'( Z, T ),
% 15.78/16.19 'tc_set'( T ) ), 'c_lessequals'( 'c_Union'( Z, T ), X, 'tc_set'( T ) ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 101890, [ ~( 'c_lessequals'( X, 'c_Zorn_OUnion__lemma0__1'( Y, X
% 15.78/16.19 , Z, T ), 'tc_set'( T ) ) ), 'c_lessequals'( X, 'c_Union'( Z, T ),
% 15.78/16.19 'tc_set'( T ) ), 'c_lessequals'( 'c_Union'( Z, T ), Y, 'tc_set'( T ) ) ]
% 15.78/16.19 )
% 15.78/16.19 , clause( 101891, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) )
% 15.78/16.19 , 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 101892, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 15.78/16.19 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.19 , clause( 101893, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 15.78/16.19 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.19 , clause( 101894, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a'
% 15.78/16.19 ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 101895, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a'
% 15.78/16.19 ), 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 15.78/16.19 ) ) ] )
% 15.78/16.19 , clause( 101896, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.19 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m',
% 15.78/16.19 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.19 , clause( 101897, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ),
% 15.78/16.19 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'(
% 15.78/16.19 X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 15.78/16.19 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 ] ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 139, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 15.78/16.19 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 15.78/16.19 , clause( 100694, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 15.78/16.19 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 15.78/16.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 15.78/16.19 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 140, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 15.78/16.19 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 15.78/16.19 , clause( 100695, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 15.78/16.19 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 15.78/16.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 15.78/16.19 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 237, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X
% 15.78/16.19 ) ] )
% 15.78/16.19 , clause( 100796, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 15.78/16.19 Y, X ) ] )
% 15.78/16.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 15.78/16.19 ), ==>( 1, 1 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 416, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 15.78/16.19 , clause( 100977, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 15.78/16.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 1330, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 15.78/16.19 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 15.78/16.19 ] )
% 15.78/16.19 , clause( 101891, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) )
% 15.78/16.19 , 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 15.78/16.19 ) ] )
% 15.78/16.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 15.78/16.19 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 1332, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 15.78/16.19 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.19 , clause( 101893, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 15.78/16.19 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 1333, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ),
% 15.78/16.19 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 101894, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a'
% 15.78/16.19 ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 1334, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.19 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) )
% 15.78/16.19 ] )
% 15.78/16.19 , clause( 101895, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a'
% 15.78/16.19 ), 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 15.78/16.19 ) ) ] )
% 15.78/16.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 1335, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.19 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m',
% 15.78/16.19 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.19 , clause( 101896, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.19 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m',
% 15.78/16.19 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 15.78/16.19 ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 1336, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m',
% 15.78/16.19 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X,
% 15.78/16.19 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 15.78/16.19 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 101897, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ),
% 15.78/16.19 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'(
% 15.78/16.19 X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 15.78/16.19 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 15.78/16.19 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 resolution(
% 15.78/16.19 clause( 103847, [ 'c_in'( X, 'c_Pow'( X, Y ), 'tc_set'( Y ) ), ~(
% 15.78/16.19 'class_Orderings_Oorder'( 'tc_set'( Y ) ) ) ] )
% 15.78/16.19 , clause( 140, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 15.78/16.19 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 15.78/16.19 , 0, clause( 237, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 15.78/16.19 Y, X ) ] )
% 15.78/16.19 , 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ),
% 15.78/16.19 substitution( 1, [ :=( X, 'tc_set'( Y ) ), :=( Y, X )] )).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 resolution(
% 15.78/16.19 clause( 103848, [ 'c_in'( X, 'c_Pow'( X, Y ), 'tc_set'( Y ) ) ] )
% 15.78/16.19 , clause( 103847, [ 'c_in'( X, 'c_Pow'( X, Y ), 'tc_set'( Y ) ), ~(
% 15.78/16.19 'class_Orderings_Oorder'( 'tc_set'( Y ) ) ) ] )
% 15.78/16.19 , 1, clause( 416, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 15.78/16.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 15.78/16.19 , Y )] )).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 55572, [ 'c_in'( Y, 'c_Pow'( Y, X ), 'tc_set'( X ) ) ] )
% 15.78/16.19 , clause( 103848, [ 'c_in'( X, 'c_Pow'( X, Y ), 'tc_set'( Y ) ) ] )
% 15.78/16.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 15.78/16.19 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 resolution(
% 15.78/16.19 clause( 103849, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' )
% 15.78/16.19 , 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 1334, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' )
% 15.78/16.19 , 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 15.78/16.19 ) ] )
% 15.78/16.19 , 0, clause( 1330, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) )
% 15.78/16.19 , 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 15.78/16.19 ) ] )
% 15.78/16.19 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Zorn_Osucc'( 'v_S'
% 15.78/16.19 , 'v_m', 't_a' ) ), :=( Y, 'v_x' ), :=( Z, 't_a' ), :=( T, 'v_S' )] )
% 15.78/16.19 ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 85498, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.19 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 103849, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a'
% 15.78/16.19 ), 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 resolution(
% 15.78/16.19 clause( 103850, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'c_Pow'(
% 15.78/16.19 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 't_a' ) ), 'tc_set'(
% 15.78/16.19 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 1334, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' )
% 15.78/16.19 , 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 15.78/16.19 ) ] )
% 15.78/16.19 , 0, clause( 139, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 15.78/16.19 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 15.78/16.19 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Zorn_Osucc'( 'v_S'
% 15.78/16.19 , 'v_m', 't_a' ) ), :=( Y, 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ) ), :=( Z
% 15.78/16.19 , 'tc_set'( 't_a' ) )] )).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 85502, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'c_Pow'(
% 15.78/16.19 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 't_a' ) ), 'tc_set'(
% 15.78/16.19 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 103850, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.19 'c_Pow'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 't_a' ) ),
% 15.78/16.19 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 resolution(
% 15.78/16.19 clause( 103851, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 15.78/16.19 ) ) ] )
% 15.78/16.19 , clause( 85498, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' )
% 15.78/16.19 , 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , 0, clause( 1335, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' )
% 15.78/16.19 , 'v_x', 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'v_x', 'v_m',
% 15.78/16.19 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.19 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 subsumption(
% 15.78/16.19 clause( 86780, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 15.78/16.19 ) ) ] )
% 15.78/16.19 , clause( 103851, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a'
% 15.78/16.19 ) ) ) ] )
% 15.78/16.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 eqswap(
% 15.78/16.19 clause( 103852, [ =( 'v_m', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X,
% 15.78/16.19 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'( X,
% 15.78/16.19 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 15.78/16.19 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 1336, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m'
% 15.78/16.19 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_m' ), ~( 'c_lessequals'( X,
% 15.78/16.19 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 15.78/16.19 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , 1, substitution( 0, [ :=( X, X )] )).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 resolution(
% 15.78/16.19 clause( 103853, [ =( 'v_m', 'v_x' ), ~( 'c_lessequals'( 'v_x', 'v_m',
% 15.78/16.19 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'(
% 15.78/16.19 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 1333, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' )
% 15.78/16.19 , 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , 0, clause( 103852, [ =( 'v_m', X ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S'
% 15.78/16.19 , X, 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), ~( 'c_lessequals'(
% 15.78/16.19 X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'(
% 15.78/16.19 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' )] )).
% 15.78/16.19
% 15.78/16.19
% 15.78/16.19 resolution(
% 15.78/16.19 clause( 103854, [ =( 'v_m', 'v_x' ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'(
% 15.78/16.19 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , clause( 103853, [ =( 'v_m', 'v_x' ), ~( 'c_lessequals'( 'v_x', 'v_m',
% 15.78/16.19 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'(
% 15.78/16.19 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.19 , 1, clause( 86780, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'(
% 15.78/16.19 't_a' ) ) ) ] )
% 15.78/16.19 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 eqswap(
% 15.78/16.20 clause( 103855, [ =( 'v_x', 'v_m' ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'(
% 15.78/16.20 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.20 , clause( 103854, [ =( 'v_m', 'v_x' ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'(
% 15.78/16.20 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.20 , 0, substitution( 0, [] )).
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 subsumption(
% 15.78/16.20 clause( 86986, [ =( 'v_x', 'v_m' ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S'
% 15.78/16.20 , 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.20 , clause( 103855, [ =( 'v_x', 'v_m' ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'(
% 15.78/16.20 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 15.78/16.20 ).
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 resolution(
% 15.78/16.20 clause( 103857, [ =( 'v_x', 'v_m' ) ] )
% 15.78/16.20 , clause( 86986, [ =( 'v_x', 'v_m' ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'(
% 15.78/16.20 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.20 , 1, clause( 1332, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 15.78/16.20 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 15.78/16.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 subsumption(
% 15.78/16.20 clause( 100515, [ =( 'v_x', 'v_m' ) ] )
% 15.78/16.20 , clause( 103857, [ =( 'v_x', 'v_m' ) ] )
% 15.78/16.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 paramod(
% 15.78/16.20 clause( 103860, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'c_Pow'(
% 15.78/16.20 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'tc_set'( 't_a' ) ), 'tc_set'(
% 15.78/16.20 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.20 , clause( 100515, [ =( 'v_x', 'v_m' ) ] )
% 15.78/16.20 , 0, clause( 85502, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.20 'c_Pow'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'tc_set'( 't_a' ) ),
% 15.78/16.20 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.20 , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 resolution(
% 15.78/16.20 clause( 103861, [] )
% 15.78/16.20 , clause( 103860, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ),
% 15.78/16.20 'c_Pow'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'tc_set'( 't_a' ) ),
% 15.78/16.20 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 15.78/16.20 , 0, clause( 55572, [ 'c_in'( Y, 'c_Pow'( Y, X ), 'tc_set'( X ) ) ] )
% 15.78/16.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'tc_set'( 't_a' ) ),
% 15.78/16.20 :=( Y, 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) )] )).
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 subsumption(
% 15.78/16.20 clause( 100529, [] )
% 15.78/16.20 , clause( 103861, [] )
% 15.78/16.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 end.
% 15.78/16.20
% 15.78/16.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 15.78/16.20
% 15.78/16.20 Memory use:
% 15.78/16.20
% 15.78/16.20 space for terms: 2681757
% 15.78/16.20 space for clauses: 5482980
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 clauses generated: 312882
% 15.78/16.20 clauses kept: 100530
% 15.78/16.20 clauses selected: 1628
% 15.78/16.20 clauses deleted: 801
% 15.78/16.20 clauses inuse deleted: 3
% 15.78/16.20
% 15.78/16.20 subsentry: 821211
% 15.78/16.20 literals s-matched: 517754
% 15.78/16.20 literals matched: 469087
% 15.78/16.20 full subsumption: 231626
% 15.78/16.20
% 15.78/16.20 checksum: -1296284504
% 15.78/16.20
% 15.78/16.20
% 15.78/16.20 Bliksem ended
%------------------------------------------------------------------------------