TSTP Solution File: SET855-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET855-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 22:52:51 EDT 2022
% Result : Unsatisfiable 13.40s 13.80s
% Output : Refutation 13.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET855-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 14:06:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.94/1.32 *** allocated 10000 integers for termspace/termends
% 0.94/1.32 *** allocated 10000 integers for clauses
% 0.94/1.32 *** allocated 10000 integers for justifications
% 0.94/1.32 *** allocated 15000 integers for termspace/termends
% 0.94/1.32 Bliksem 1.12
% 0.94/1.32
% 0.94/1.32
% 0.94/1.32 Automatic Strategy Selection
% 0.94/1.32
% 0.94/1.32 Clauses:
% 0.94/1.32 [
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 0.94/1.32 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 0.94/1.32 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 0.94/1.32 , Y ) ],
% 0.94/1.32 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.94/1.32 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.94/1.32 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.94/1.32 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 0.94/1.32 Z, Y ) ) ), =( X, Z ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.94/1.32 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.94/1.32 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.94/1.32 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.94/1.32 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.94/1.32 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 0.94/1.32 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.94/1.32 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 0.94/1.32 X, 'c_emptyset' ) ],
% 0.94/1.32 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 0.94/1.32 X, 'c_emptyset' ) ],
% 0.94/1.32 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 0.94/1.32 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 0.94/1.32 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 0.94/1.32 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 0.94/1.32 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.94/1.32 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.94/1.32 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.94/1.32 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 0.94/1.32 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 0.94/1.32 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.94/1.32 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 0.94/1.32 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 0.94/1.32 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.94/1.32 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 0.94/1.32 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.94/1.32 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.94/1.32 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 0.94/1.32 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 0.94/1.32 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 0.94/1.32 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.94/1.32 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.94/1.32 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 0.94/1.32 ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.94/1.32 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.94/1.32 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.94/1.32 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.94/1.32 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 0.94/1.32 'c_List_Olist_ONil', X ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.94/1.32 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.94/1.32 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.94/1.32 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.94/1.32 Z ) ) ), =( X, T ) ],
% 0.94/1.32 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.94/1.32 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.94/1.32 Z ) ) ), =( Y, U ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.94/1.32 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 0.94/1.32 'tc_List_Olist'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.94/1.32 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.94/1.32 'tc_List_Olist'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.94/1.32 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 0.94/1.32 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 0.94/1.32 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 0.94/1.32 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.94/1.32 =( X, Z ) ],
% 0.94/1.32 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.94/1.32 =( Y, T ) ],
% 0.94/1.32 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 0.94/1.32 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 0.94/1.32 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 0.94/1.32 , =( X, 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.94/1.32 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 0.94/1.32 Y ), X ) ],
% 0.94/1.32 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 0.94/1.32 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 0.94/1.32 'tc_List_Olist'( Y ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.94/1.32 ) ), =( X, T ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.94/1.32 ) ), =( Y, U ) ],
% 0.94/1.32 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.94/1.32 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.94/1.32 'c_List_Olist_ONil', Y ), Y ) ) ],
% 0.94/1.32 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 0.94/1.32 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 0.94/1.32 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 0.94/1.32 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 0.94/1.32 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 0.94/1.32 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.94/1.32 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 0.94/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 0.94/1.32 'c_Suc'( Y ), 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 0.94/1.32 , 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 0.94/1.32 , 'tc_nat' ) ],
% 0.94/1.32 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 0.94/1.32 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 0.94/1.32 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 0.94/1.32 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 0.94/1.32 'tc_nat' ), 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 0.94/1.32 'tc_nat' ), 'tc_nat' ) ],
% 0.94/1.32 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 0.94/1.32 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.94/1.32 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 0.94/1.32 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.94/1.32 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.94/1.32 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.94/1.32 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 0.94/1.32 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 0.94/1.32 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 0.94/1.32 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.94/1.32 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.32 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 0.94/1.32 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 0.94/1.32 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.94/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 0.94/1.32 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.94/1.32 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.94/1.32 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 0.94/1.32 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.94/1.32 Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.94/1.32 ) ), =( X, Y ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 0.94/1.32 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.94/1.32 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.94/1.32 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.94/1.32 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 0.94/1.32 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.94/1.32 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 0.94/1.32 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 0.94/1.32 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.94/1.32 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.94/1.32 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.94/1.32 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 0.94/1.32 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.94/1.32 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 0.94/1.32 Z, X ), 'tc_set'( X ) ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.94/1.32 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.94/1.32 ) ) ), =( Y, Z ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.94/1.32 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 0.94/1.32 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.94/1.32 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.94/1.32 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.32 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 0.94/1.32 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 0.94/1.32 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.94/1.32 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 0.94/1.32 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.94/1.32 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 0.94/1.32 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.32 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 0.94/1.32 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 0.94/1.32 Z ) ) ],
% 0.94/1.32 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 0.94/1.32 ), =( X, Z ) ],
% 0.94/1.32 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 0.94/1.32 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 0.94/1.32 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 0.94/1.32 , Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.94/1.32 , 'tc_set'( Z ) ), Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 0.94/1.32 T, Y, Z ), Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 0.94/1.32 ) ), 'c_in'( T, X, Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 0.94/1.32 , 'tc_set'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 0.94/1.32 , 'tc_set'( Z ) ) ],
% 0.94/1.32 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 0.94/1.32 X, Y, T ) ],
% 0.94/1.32 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 0.94/1.32 , 'c_Union'( T, Z ), Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.94/1.32 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 0.94/1.32 X, T ) ],
% 0.94/1.32 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 0.94/1.32 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.94/1.32 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 0.94/1.32 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 0.94/1.32 Z, X ) ],
% 0.94/1.32 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 0.94/1.32 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.94/1.32 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 0.94/1.32 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 0.94/1.32 , =( X, T ) ],
% 0.94/1.32 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 0.94/1.32 , =( X, T ) ],
% 0.94/1.32 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 0.94/1.32 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.94/1.32 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.94/1.32 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 0.94/1.32 T, Z ) ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.94/1.32 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.94/1.32 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 0.94/1.32 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.94/1.32 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.94/1.32 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.94/1.32 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 0.94/1.32 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 0.94/1.32 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.94/1.32 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 0.94/1.32 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 0.94/1.32 'tc_nat' ) ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 0.94/1.32 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.94/1.32 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.94/1.32 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 0.94/1.32 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 0.94/1.32 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 0.94/1.32 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.94/1.32 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.94/1.32 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.94/1.32 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.94/1.32 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.94/1.32 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 0.94/1.32 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 0.94/1.32 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.94/1.32 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.94/1.32 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.94/1.32 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.94/1.32 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.94/1.32 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.94/1.32 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.94/1.32 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.94/1.32 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.94/1.32 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.94/1.32 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.94/1.32 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.94/1.32 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.94/1.32 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.94/1.32 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.94/1.32 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.94/1.32 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.94/1.32 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.94/1.32 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.94/1.32 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.94/1.32 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.94/1.32 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 0.94/1.32 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 0.94/1.32 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 0.94/1.32 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.94/1.32 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.94/1.32 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 0.94/1.32 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.94/1.32 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 0.94/1.32 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 0.94/1.32 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.94/1.32 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.94/1.32 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.94/1.32 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.94/1.32 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 0.94/1.32 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.94/1.32 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 0.94/1.32 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.94/1.32 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 0.94/1.32 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 0.94/1.32 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 0.94/1.32 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.94/1.32 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.94/1.32 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.94/1.32 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.94/1.32 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 0.94/1.32 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.94/1.32 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 0.94/1.32 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 0.94/1.32 , 'tc_set'( Y ) ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.94/1.32 ) ), X, 'tc_nat' ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.94/1.32 ) ), Y, 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 0.94/1.32 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 0.94/1.32 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 0.94/1.32 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 0.94/1.32 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 0.94/1.32 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.94/1.32 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.94/1.32 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 0.94/1.32 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 0.94/1.32 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 0.94/1.32 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.94/1.32 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 0.94/1.32 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.94/1.32 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.94/1.32 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.94/1.32 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 0.94/1.32 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 0.94/1.32 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.94/1.32 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.94/1.32 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.94/1.32 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 0.94/1.32 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.94/1.32 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.94/1.32 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.94/1.32 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.94/1.32 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 0.94/1.32 'tc_prod'( Z, Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.94/1.32 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.94/1.32 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 0.94/1.32 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 0.94/1.32 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.94/1.32 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.94/1.32 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.94/1.32 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 0.94/1.32 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.94/1.32 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.94/1.32 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.94/1.32 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.94/1.32 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 0.94/1.32 'tc_prod'( T, T ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.94/1.32 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.94/1.32 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.94/1.32 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.94/1.32 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.94/1.32 'c_List_Olist_ONil' ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.94/1.32 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.94/1.32 'tc_List_Olist'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.94/1.32 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 0.94/1.32 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 0.94/1.32 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 0.94/1.32 Y ) ) ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.94/1.32 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 0.94/1.32 Y ) ) ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.94/1.32 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 0.94/1.32 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 0.94/1.32 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 0.94/1.32 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 0.94/1.32 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.94/1.32 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.94/1.32 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 0.94/1.32 T, U ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 0.94/1.32 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.94/1.32 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.94/1.32 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 0.94/1.32 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.94/1.32 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 0.94/1.32 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 0.94/1.32 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 0.94/1.32 , Z, Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.94/1.32 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 0.94/1.32 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.94/1.32 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 0.94/1.32 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.94/1.32 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.94/1.32 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.94/1.32 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.94/1.32 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 0.94/1.32 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 0.94/1.32 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 0.94/1.32 T ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 0.94/1.32 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 0.94/1.32 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.94/1.32 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 0.94/1.32 Z ), Y, 'tc_set'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 0.94/1.32 'c_Inter'( Y, Z ), Z ) ],
% 0.94/1.32 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.94/1.32 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 0.94/1.32 X, Y, Z ), Z ) ],
% 0.94/1.32 [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 0.94/1.32 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.94/1.32 'tc_set'( Z ) ) ) ],
% 0.94/1.32 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 0.94/1.32 Z ) ) ],
% 0.94/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'(
% 0.94/1.32 Z ) ), =( X, Y ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 0.94/1.32 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 0.94/1.32 ) ) ), =( X, Z ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 0.94/1.32 'c_in'( X, T, Z ) ],
% 0.94/1.32 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.94/1.32 , 'tc_set'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 0.94/1.32 X, Y, 'tc_set'( Z ) ) ],
% 0.94/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.94/1.32 'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.94/1.32 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ),
% 0.94/1.32 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ),
% 0.94/1.32 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.94/1.32 , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ),
% 0.94/1.32 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.94/1.32 , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 0.94/1.32 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.94/1.32 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 0.94/1.32 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 0.94/1.32 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.94/1.32 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 0.94/1.32 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 0.94/1.32 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.94/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.94/1.32 ), 'tc_prod'( Y, Y ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.94/1.32 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.32 'tc_prod'( Z, Z ) ) ],
% 0.94/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.94/1.32 , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.94/1.32 [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ),
% 0.94/1.32 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 0.94/1.32 , 'tc_prod'( T, Y ) ) ],
% 0.94/1.32 [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 0.94/1.32 , 'tc_nat' ) ],
% 0.94/1.32 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 0.94/1.32 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 0.94/1.32 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 0.94/1.32 ],
% 0.94/1.32 [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~(
% 0.94/1.32 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.94/1.32 [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 0.94/1.32 ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 0.94/1.32 ) ],
% 0.94/1.32 [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 0.94/1.32 ],
% 0.94/1.32 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 0.94/1.32 ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 0.94/1.32 ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 0.94/1.32 ],
% 0.94/1.32 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 0.94/1.32 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.94/1.32 [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 0.94/1.32 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.32 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.94/1.32 ],
% 0.94/1.32 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 0.94/1.32 [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.94/1.32 ],
% 0.94/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.94/1.32 ) ],
% 0.94/1.32 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.94/1.32 ],
% 0.94/1.32 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 0.94/1.32 ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.94/1.32 ],
% 0.94/1.32 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.94/1.32 [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 0.94/1.32 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.94/1.32 ],
% 0.94/1.32 [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 0.94/1.32 [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 0.94/1.32 [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 0.94/1.32 [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 0.94/1.32 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.94/1.32 [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 0.94/1.32 [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 0.94/1.32 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_HOL_Ominus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_HOL_Ominus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_HOL_Ominus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_HOL_Ominus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_Orderings_Olinorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_HOL_Ominus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.32 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.32 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.32 , 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.32 , 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.32 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.32 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.32 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.32 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.32 , 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.94/1.32 'class_HOL_Oone'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.94/1.32 'class_HOL_Ominus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_HOL_Oone'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_HOL_Oone'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.32 'class_HOL_Oinverse'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oidom'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Orderings_Olinorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ofield'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_HOL_Oinverse'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oidom'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Orderings_Olinorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Orderings_Olinorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oidom'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Orderings_Olinorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Ominus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Orderings_Olinorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_Orderings_Olinorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_LOrder_Olorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_HOL_Ominus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.94/1.32 X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_Orderings_Oorder'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_Orderings_Oord'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Otimes'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Oplus'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_HOL_Ozero'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.32 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.32 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 0.94/1.33 ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_HOL_Otimes'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_HOL_Oplus'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_HOL_Ozero'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 0.94/1.33 ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_HOL_Oone'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_HOL_Otimes'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_HOL_Ozero'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_HOL_Oplus'( X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.94/1.33 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.33 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.94/1.33 'class_Orderings_Oord'( X ) ],
% 0.94/1.33 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.94/1.33 'class_Orderings_Oorder'( X ) ],
% 0.94/1.33 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.94/1.33 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.94/1.33 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.94/1.33 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.94/1.33 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.94/1.33 'class_LOrder_Olorder'( X ) ],
% 0.94/1.33 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.94/1.33 'class_Orderings_Olinorder'( X ) ],
% 0.94/1.33 [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 'tc_set'( Z )
% 0.94/1.33 ) ) ],
% 0.94/1.33 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.94/1.33 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.94/1.33 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'( Y,
% 0.94/1.33 Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 0.94/1.33 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 0.94/1.33 'tc_set'( Z ) ) ) ],
% 0.94/1.33 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.94/1.33 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.94/1.33 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 0.94/1.33 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 0.94/1.33 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 0.94/1.33 ) ) ) ],
% 0.94/1.33 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.94/1.33 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.94/1.33 =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ), 'c_lessequals'( T
% 0.94/1.33 , X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z
% 0.94/1.33 ), T, 'tc_set'( 'tc_set'( Z ) ) ) ],
% 0.94/1.33 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 0.94/1.33 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 0.94/1.33 'c_lessequals'( 'c_Zorn_Osucc'( Y, 'c_Zorn_OTFin__linear__lemma1__1'( Y,
% 0.94/1.33 X, Z ), Z ), X, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T, X,
% 0.94/1.33 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T
% 0.94/1.33 , 'tc_set'( 'tc_set'( Z ) ) ) ],
% 0.94/1.33 [ 'c_in'( 'c_Zorn_OUnion__lemma0__1'( X, Y, Z, T ), Z, 'tc_set'( T ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_Union'( Z, T ), 'tc_set'( T ) ), 'c_lessequals'(
% 0.94/1.33 'c_Union'( Z, T ), X, 'tc_set'( T ) ) ],
% 0.94/1.33 [ ~( 'c_lessequals'( 'c_Zorn_OUnion__lemma0__1'( X, Y, Z, T ), X,
% 0.94/1.33 'tc_set'( T ) ) ), 'c_lessequals'( Y, 'c_Union'( Z, T ), 'tc_set'( T ) )
% 0.94/1.33 , 'c_lessequals'( 'c_Union'( Z, T ), X, 'tc_set'( T ) ) ],
% 0.94/1.33 [ ~( 'c_lessequals'( X, 'c_Zorn_OUnion__lemma0__1'( Y, X, Z, T ),
% 0.94/1.33 'tc_set'( T ) ) ), 'c_lessequals'( X, 'c_Union'( Z, T ), 'tc_set'( T ) )
% 0.94/1.33 , 'c_lessequals'( 'c_Union'( Z, T ), Y, 'tc_set'( T ) ) ],
% 0.94/1.33 [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'(
% 0.94/1.33 X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ],
% 0.94/1.33 [ 'c_lessequals'( 'v_Y', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 0.94/1.33 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 0.94/1.33 [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 0.94/1.33 't_a' ) ) ) ],
% 0.94/1.33 [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'tc_set'(
% 0.94/1.33 'tc_set'( 't_a' ) ) ) ],
% 0.94/1.33 [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n', 'tc_set'(
% 0.94/1.33 'tc_set'( 't_a' ) ) ) ],
% 0.94/1.33 [ ~( =( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ) ) ) ],
% 0.94/1.33 [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'c_Union'(
% 0.94/1.33 'v_Y', 'tc_set'( 't_a' ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ],
% 0.94/1.33 [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), Y, 'tc_set'(
% 0.94/1.33 'tc_set'( 't_a' ) ) ), =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_set'(
% 0.94/1.33 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 0.94/1.33 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 0.94/1.33 'tc_set'( 't_a' ) ) ) ) ]
% 0.94/1.33 ] .
% 0.94/1.33
% 0.94/1.33
% 0.94/1.33 percentage equality = 0.074615, percentage horn = 0.973742
% 0.94/1.33 This is a problem with some equality
% 0.94/1.33
% 0.94/1.33
% 0.94/1.33
% 0.94/1.33 Options Used:
% 0.94/1.33
% 0.94/1.33 useres = 1
% 0.94/1.33 useparamod = 1
% 0.94/1.33 useeqrefl = 1
% 0.94/1.33 useeqfact = 1
% 0.94/1.33 usefactor = 1
% 0.94/1.33 usesimpsplitting = 0
% 0.94/1.33 usesimpdemod = 5
% 0.94/1.33 usesimpres = 3
% 0.94/1.33
% 0.94/1.33 resimpinuse = 1000
% 0.94/1.33 resimpclauses = 20000
% 0.94/1.33 substype = eqrewr
% 0.94/1.33 backwardsubs = 1
% 0.94/1.33 selectoldest = 5
% 0.94/1.33
% 0.94/1.33 litorderings [0] = split
% 0.94/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.33
% 0.94/1.33 termordering = kbo
% 0.94/1.33
% 0.94/1.33 litapriori = 0
% 0.94/1.33 termapriori = 1
% 0.94/1.33 litaposteriori = 0
% 0.94/1.33 termaposteriori = 0
% 0.94/1.33 demodaposteriori = 0
% 0.94/1.33 ordereqreflfact = 0
% 0.94/1.33
% 0.94/1.33 litselect = negord
% 0.94/1.33
% 0.94/1.33 maxweight = 15
% 0.94/1.33 maxdepth = 30000
% 0.94/1.33 maxlength = 115
% 0.94/1.33 maxnrvars = 195
% 0.94/1.33 excuselevel = 1
% 0.94/1.33 increasemaxweight = 1
% 0.94/1.33
% 0.94/1.33 maxselected = 10000000
% 0.94/1.33 maxnrclauses = 10000000
% 0.94/1.33
% 0.94/1.33 showgenerated = 0
% 0.94/1.33 showkept = 0
% 0.94/1.33 showselected = 0
% 0.94/1.33 showdeleted = 0
% 0.94/1.33 showresimp = 1
% 0.94/1.33 showstatus = 2000
% 0.94/1.33
% 0.94/1.33 prologoutput = 1
% 0.94/1.33 nrgoals = 5000000
% 0.94/1.33 totalproof = 1
% 0.94/1.33
% 0.94/1.33 Symbols occurring in the translation:
% 0.94/1.33
% 0.94/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.33 . [1, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.94/1.33 ! [4, 1] (w:0, o:85, a:1, s:1, b:0),
% 0.94/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.33 'c_Datatype_Oo2s' [42, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.94/1.33 'c_in' [43, 3] (w:1, o:231, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype_Ooption_OSome' [44, 2] (w:1, o:194, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype_Ooption_ONone' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Onot__None__eq__iff1__1' [46, 2] (w:1, o:205, a:1, s:1, b:0)
% 0.94/1.33 ,
% 0.94/1.33 'c_Main_Onot__Some__eq__iff1__1' [47, 2] (w:1, o:206, a:1, s:1, b:0)
% 0.94/1.33 ,
% 0.94/1.33 'c_Datatype__Universe_OAtom' [51, 3] (w:1, o:232, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype__Universe_OScons' [55, 4] (w:1, o:266, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype__Universe_OIn0' [56, 3] (w:1, o:233, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype__Universe_OIn1' [57, 3] (w:1, o:234, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype__Universe_OLeaf' [58, 3] (w:1, o:235, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype__Universe_ONumb' [60, 3] (w:1, o:236, a:1, s:1, b:0),
% 0.94/1.33 'c_0' [63, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.94/1.33 'tc_nat' [65, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.94/1.33 'c_Divides_Oop_Advd' [66, 3] (w:1, o:237, a:1, s:1, b:0),
% 0.94/1.33 'c_emptyset' [67, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.94/1.33 'c_Equiv__Relations_Oquotient' [70, 3] (w:1, o:239, a:1, s:1, b:0),
% 0.94/1.33 'c_Extraction_Osumbool_OLeft' [71, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.94/1.33 'c_Extraction_Osumbool_ORight' [72, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.94/1.33 'c_insert' [74, 3] (w:1, o:240, a:1, s:1, b:0),
% 0.94/1.33 'tc_set' [75, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.94/1.33 'c_minus' [76, 3] (w:1, o:243, a:1, s:1, b:0),
% 0.94/1.33 'c_Finite__Set_OFinites' [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.94/1.33 'c_Pow' [78, 2] (w:1, o:207, a:1, s:1, b:0),
% 0.94/1.33 'c_union' [81, 3] (w:1, o:245, a:1, s:1, b:0),
% 0.94/1.33 'c_Relation_Oconverse' [82, 3] (w:1, o:246, a:1, s:1, b:0),
% 0.94/1.33 'tc_prod' [83, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.94/1.33 'c_Pair' [85, 4] (w:1, o:267, a:1, s:1, b:0),
% 0.94/1.33 'c_GCD_Ogcd' [86, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.94/1.33 'c_UNIV' [87, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.94/1.33 'c_IntDef_Oint' [88, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.94/1.33 'tc_IntDef_Oint' [91, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.94/1.33 'c_uminus' [92, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Olist_ONil' [94, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.94/1.33 'tc_List_Olist' [95, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Olex' [96, 2] (w:1, o:195, a:1, s:1, b:0),
% 0.94/1.33 'c_append' [98, 3] (w:1, o:247, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Orev' [99, 2] (w:1, o:196, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Olist_OCons' [100, 3] (w:1, o:248, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Olists' [102, 2] (w:1, o:198, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Ochar_OChar' [106, 2] (w:1, o:199, a:1, s:1, b:0),
% 0.94/1.33 'c_Nat_Osize' [109, 2] (w:1, o:213, a:1, s:1, b:0),
% 0.94/1.33 'c_less' [110, 3] (w:1, o:241, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Oremdups' [111, 2] (w:1, o:200, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Oset' [114, 2] (w:1, o:201, a:1, s:1, b:0),
% 0.94/1.33 'c_Suc' [115, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.94/1.33 'c_lessequals' [116, 3] (w:1, o:242, a:1, s:1, b:0),
% 0.94/1.33 'c_plus' [117, 3] (w:1, o:249, a:1, s:1, b:0),
% 0.94/1.33 'c_1' [119, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.94/1.33 'c_Numeral_Obit_OB0' [121, 0] (w:1, o:56, a:1, s:1, b:0),
% 0.94/1.33 'c_Numeral_Obit_OB1' [122, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.94/1.33 'class_Orderings_Oorder' [123, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.94/1.33 'c_Relation_OId' [125, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.94/1.33 'c_Relation_OImage' [126, 4] (w:1, o:268, a:1, s:1, b:0),
% 0.94/1.33 'class_Orderings_Olinorder' [127, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.94/1.33 'c_SetInterval_OatLeast' [128, 2] (w:1, o:216, a:1, s:1, b:0),
% 0.94/1.33 'class_Orderings_Oord' [129, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.94/1.33 'c_SetInterval_OatMost' [130, 2] (w:1, o:217, a:1, s:1, b:0),
% 0.94/1.33 'c_SetInterval_OgreaterThan' [131, 2] (w:1, o:218, a:1, s:1, b:0),
% 0.94/1.33 'c_SetInterval_OlessThan' [132, 2] (w:1, o:219, a:1, s:1, b:0),
% 0.94/1.33 'c_inter' [134, 3] (w:1, o:250, a:1, s:1, b:0),
% 0.94/1.33 'c_Inter' [137, 2] (w:1, o:220, a:1, s:1, b:0),
% 0.94/1.33 'c_Union' [138, 2] (w:1, o:223, a:1, s:1, b:0),
% 0.94/1.33 'c_Sum__Type_OInl' [139, 3] (w:1, o:253, a:1, s:1, b:0),
% 0.94/1.33 'c_Sum__Type_OInr' [140, 3] (w:1, o:254, a:1, s:1, b:0),
% 0.94/1.33 'c_Wellfounded__Recursion_Oacyclic' [141, 2] (w:1, o:224, a:1, s:1
% 0.94/1.33 , b:0),
% 0.94/1.33 'c_Transitive__Closure_Ortrancl' [142, 2] (w:1, o:221, a:1, s:1, b:0)
% 0.94/1.33 ,
% 0.94/1.33 'c_Wellfounded__Recursion_Owf' [143, 2] (w:1, o:225, a:1, s:1, b:0),
% 0.94/1.33
% 0.94/1.33 'c_Wellfounded__Relations_Oless__than' [144, 0] (w:1, o:63, a:1, s:1
% 0.94/1.33 , b:0),
% 0.94/1.33 'c_Datatype__Universe_Odprod' [146, 4] (w:1, o:269, a:1, s:1, b:0),
% 0.94/1.33 'tc_Datatype__Universe_Onode' [147, 2] (w:1, o:226, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OdprodE__1' [148, 5] (w:1, o:288, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OdprodE__2' [149, 5] (w:1, o:289, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OdprodE__3' [150, 5] (w:1, o:290, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OdprodE__4' [151, 5] (w:1, o:291, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype__Universe_Odsum' [152, 4] (w:1, o:270, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OdsumE__1' [153, 4] (w:1, o:273, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OdsumE__2' [154, 4] (w:1, o:274, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OdsumE__3' [155, 4] (w:1, o:275, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OdsumE__4' [156, 4] (w:1, o:276, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype__Universe_Ouprod' [157, 4] (w:1, o:277, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OuprodE__1' [158, 5] (w:1, o:292, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OuprodE__2' [159, 5] (w:1, o:293, a:1, s:1, b:0),
% 0.94/1.33 'c_Datatype__Universe_Ousum' [161, 4] (w:1, o:278, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OusumE__1' [162, 4] (w:1, o:279, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OusumE__2' [163, 4] (w:1, o:280, a:1, s:1, b:0),
% 0.94/1.33 'c_times' [164, 3] (w:1, o:244, a:1, s:1, b:0),
% 0.94/1.33 'c_Divides_Oop_Amod' [166, 3] (w:1, o:238, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Omod__eq__0D__dest__1' [167, 2] (w:1, o:204, a:1, s:1, b:0),
% 0.94/1.33
% 0.94/1.33 'c_Main_Ofinite__Union__1' [168, 2] (w:1, o:210, a:1, s:1, b:0),
% 0.94/1.33 'c_Infinite__Set_Oatmost__one' [170, 2] (w:1, o:227, a:1, s:1, b:0),
% 0.94/1.33
% 0.94/1.33 'c_Main_Ozmod__eq__0D__dest__1' [171, 2] (w:1, o:211, a:1, s:1, b:0)
% 0.94/1.33 ,
% 0.94/1.33 'c_List_Odistinct' [172, 2] (w:1, o:202, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Oin__listsI__1' [174, 3] (w:1, o:255, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Olistrel' [175, 2] (w:1, o:197, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Olistrel__Cons1__1' [176, 5] (w:1, o:294, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Olistrel__Cons1__2' [177, 5] (w:1, o:295, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Olistrel__Cons2__1' [178, 5] (w:1, o:296, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Olistrel__Cons2__2' [179, 5] (w:1, o:297, a:1, s:1, b:0),
% 0.94/1.33 'c_List_Olenlex' [181, 2] (w:1, o:203, a:1, s:1, b:0),
% 0.94/1.33 'c_Relation_ODomain' [182, 3] (w:1, o:251, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_ODomainE__1' [183, 4] (w:1, o:281, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OIdE__1' [185, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OImageE__1' [186, 5] (w:1, o:298, a:1, s:1, b:0),
% 0.94/1.33 'c_Relation_ORange' [187, 3] (w:1, o:252, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_ORangeE__1' [188, 4] (w:1, o:282, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OconverseE__1' [190, 4] (w:1, o:271, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OconverseE__2' [191, 4] (w:1, o:272, a:1, s:1, b:0),
% 0.94/1.33 'c_Relation_Odiag' [192, 2] (w:1, o:214, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_OdiagE__1' [193, 3] (w:1, o:256, a:1, s:1, b:0),
% 0.94/1.33 'c_Relation_Orel__comp' [196, 5] (w:1, o:299, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Orel__compE__2' [197, 6] (w:1, o:301, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Orel__compE__3' [198, 6] (w:1, o:302, a:1, s:1, b:0),
% 0.94/1.33 'c_Main_Orel__compE__1' [199, 6] (w:1, o:300, a:1, s:1, b:0),
% 0.94/1.33 'c_SetInterval_OatLeastAtMost' [200, 3] (w:1, o:257, a:1, s:1, b:0),
% 0.94/1.33
% 0.94/1.33 'c_SetInterval_OatLeastLessThan' [201, 3] (w:1, o:258, a:1, s:1, b:0)
% 0.97/1.54 ,
% 0.97/1.54 'c_SetInterval_OgreaterThanAtMost' [202, 3] (w:1, o:259, a:1, s:1, b:
% 0.97/1.54 0),
% 0.97/1.54 'c_SetInterval_OgreaterThanLessThan' [203, 3] (w:1, o:260, a:1, s:1
% 0.97/1.54 , b:0),
% 0.97/1.54 'c_Main_OInterI__1' [204, 3] (w:1, o:261, a:1, s:1, b:0),
% 0.97/1.54 'c_Main_OUnionE__1' [205, 3] (w:1, o:262, a:1, s:1, b:0),
% 0.97/1.54 'c_Main_OsubsetI__1' [206, 3] (w:1, o:263, a:1, s:1, b:0),
% 0.97/1.54 'c_Sum__Type_OPlus' [207, 4] (w:1, o:283, a:1, s:1, b:0),
% 0.97/1.54 'tc_sum' [208, 2] (w:1, o:228, a:1, s:1, b:0),
% 0.97/1.54 'c_Main_OPlusE__1' [209, 4] (w:1, o:284, a:1, s:1, b:0),
% 0.97/1.54 'c_Main_OPlusE__2' [210, 4] (w:1, o:285, a:1, s:1, b:0),
% 0.97/1.54 'c_Transitive__Closure_Otrancl' [211, 2] (w:1, o:222, a:1, s:1, b:0)
% 0.97/1.54 ,
% 0.97/1.54 'c_Relation_Otrans' [212, 2] (w:1, o:215, a:1, s:1, b:0),
% 0.97/1.54 'c_Wellfounded__Relations_Olex__prod' [215, 4] (w:1, o:286, a:1, s:1
% 0.97/1.54 , b:0),
% 0.97/1.54 'tc_Datatype_Ooption' [219, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.97/1.54 'class_Finite__Set_Ofinite' [220, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.97/1.54 'class_HOL_Ominus' [221, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.97/1.54 'class_HOL_Oone' [222, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Osemiring' [223, 1] (w:1, o:107, a:1, s:1, b:
% 0.97/1.54 0),
% 0.97/1.54 'class_Ring__and__Field_Ocomm__semiring' [224, 1] (w:1, o:110, a:1
% 0.97/1.54 , s:1, b:0),
% 0.97/1.54 'class_OrderedGroup_Ocomm__monoid__add' [225, 1] (w:1, o:111, a:1, s:
% 0.97/1.54 1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Osemiring__0' [226, 1] (w:1, o:112, a:1, s:1
% 0.97/1.54 , b:0),
% 0.97/1.54 'class_Ring__and__Field_Ocomm__semiring__0' [227, 1] (w:1, o:113, a:1
% 0.97/1.54 , s:1, b:0),
% 0.97/1.54 'class_OrderedGroup_Ocancel__semigroup__add' [228, 1] (w:1, o:114, a:
% 0.97/1.54 1, s:1, b:0),
% 0.97/1.54 'class_OrderedGroup_Ocancel__ab__semigroup__add' [229, 1] (w:1, o:115
% 0.97/1.54 , a:1, s:1, b:0),
% 0.97/1.54 'class_OrderedGroup_Oab__group__add' [230, 1] (w:1, o:116, a:1, s:1
% 0.97/1.54 , b:0),
% 0.97/1.54 'class_Ring__and__Field_Osemiring__0__cancel' [231, 1] (w:1, o:117
% 0.97/1.54 , a:1, s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Oring' [232, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.97/1.54
% 0.97/1.54 'class_HOL_Oplus' [233, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [234, 1] (w:1, o:
% 0.97/1.54 119, a:1, s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Ocomm__ring' [235, 1] (w:1, o:108, a:1, s:1
% 0.97/1.54 , b:0),
% 0.97/1.54 'class_Ring__and__Field_Oaxclass__0__neq__1' [236, 1] (w:1, o:120, a:
% 0.97/1.54 1, s:1, b:0),
% 0.97/1.54 'class_OrderedGroup_Omonoid__mult' [237, 1] (w:1, o:125, a:1, s:1, b:
% 0.97/1.54 0),
% 0.97/1.54 'class_OrderedGroup_Ocomm__monoid__mult' [238, 1] (w:1, o:126, a:1
% 0.97/1.54 , s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Osemiring__1' [239, 1] (w:1, o:127, a:1, s:1
% 0.97/1.54 , b:0),
% 0.97/1.54 'class_Ring__and__Field_Ocomm__semiring__1' [240, 1] (w:1, o:128, a:1
% 0.97/1.54 , s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Osemiring__1__cancel' [241, 1] (w:1, o:129
% 0.97/1.54 , a:1, s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Oring__1' [242, 1] (w:1, o:106, a:1, s:1, b:0
% 0.97/1.54 ),
% 0.97/1.54 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [243, 1] (w:1, o:
% 0.97/1.54 130, a:1, s:1, b:0),
% 0.97/1.54 'class_HOL_Otimes' [244, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Ocomm__ring__1' [245, 1] (w:1, o:109, a:1, s:
% 0.97/1.54 1, b:0),
% 0.97/1.54 'class_LOrder_Omeet__semilorder' [246, 1] (w:1, o:133, a:1, s:1, b:0)
% 0.97/1.54 ,
% 0.97/1.54 'class_LOrder_Ojoin__semilorder' [247, 1] (w:1, o:134, a:1, s:1, b:0)
% 0.97/1.54 ,
% 0.97/1.54 'class_LOrder_Olorder' [248, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.97/1.54 'class_OrderedGroup_Opordered__ab__semigroup__add' [249, 1] (w:1, o:
% 0.97/1.54 136, a:1, s:1, b:0),
% 0.97/1.54 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [250, 1]
% 0.97/1.54 (w:1, o:137, a:1, s:1, b:0),
% 0.97/1.54 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [251, 1]
% 0.97/1.54 (w:1, o:138, a:1, s:1, b:0),
% 0.97/1.54 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [252, 1]
% 0.97/1.54 (w:1, o:135, a:1, s:1, b:0),
% 0.97/1.54 'class_HOL_Ozero' [253, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Opordered__semiring' [254, 1] (w:1, o:147, a:
% 0.97/1.54 1, s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Opordered__cancel__semiring' [255, 1] (w:1
% 0.97/1.54 , o:148, a:1, s:1, b:0),
% 0.97/1.54 'class_Ring__and__Field_Oordered__semiring__strict' [256, 1] (w:1, o:
% 7.79/8.15 141, a:1, s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Opordered__comm__semiring' [257, 1] (w:1, o:
% 7.79/8.15 150, a:1, s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [258, 1]
% 7.79/8.15 (w:1, o:151, a:1, s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Oordered__comm__semiring__strict' [259, 1]
% 7.79/8.15 (w:1, o:142, a:1, s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Oaxclass__abs__if' [260, 1] (w:1, o:152, a:1
% 7.79/8.15 , s:1, b:0),
% 7.79/8.15 'class_OrderedGroup_Opordered__ab__group__add' [261, 1] (w:1, o:153
% 7.79/8.15 , a:1, s:1, b:0),
% 7.79/8.15 'class_OrderedGroup_Olordered__ab__group' [262, 1] (w:1, o:121, a:1
% 7.79/8.15 , s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Opordered__ring' [263, 1] (w:1, o:146, a:1
% 7.79/8.15 , s:1, b:0),
% 7.79/8.15 'class_OrderedGroup_Olordered__ab__group__abs' [264, 1] (w:1, o:122
% 7.79/8.15 , a:1, s:1, b:0),
% 7.79/8.15 'class_OrderedGroup_Olordered__ab__group__meet' [265, 1] (w:1, o:123
% 7.79/8.15 , a:1, s:1, b:0),
% 7.79/8.15 'class_OrderedGroup_Olordered__ab__group__join' [266, 1] (w:1, o:124
% 7.79/8.15 , a:1, s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Olordered__ring' [267, 1] (w:1, o:154, a:1
% 7.79/8.15 , s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [268, 1] (w:1
% 7.79/8.15 , o:155, a:1, s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Oordered__ring__strict' [269, 1] (w:1, o:140
% 7.79/8.15 , a:1, s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Oordered__semidom' [270, 1] (w:1, o:143, a:1
% 7.79/8.15 , s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Oidom' [271, 1] (w:1, o:156, a:1, s:1, b:0),
% 7.79/8.15
% 7.79/8.15 'class_Ring__and__Field_Oordered__idom' [272, 1] (w:1, o:144, a:1, s:
% 7.79/8.15 1, b:0),
% 7.79/8.15 'class_Numeral_Onumber' [273, 1] (w:1, o:95, a:1, s:1, b:0),
% 7.79/8.15 'class_OrderedGroup_Osemigroup__add' [274, 1] (w:1, o:157, a:1, s:1
% 7.79/8.15 , b:0),
% 7.79/8.15 'class_Numeral_Onumber__ring' [275, 1] (w:1, o:96, a:1, s:1, b:0),
% 7.79/8.15 'class_Divides_Odiv' [276, 1] (w:1, o:158, a:1, s:1, b:0),
% 7.79/8.15 'class_Nat_Opower' [277, 1] (w:1, o:97, a:1, s:1, b:0),
% 7.79/8.15 'class_Power_Orecpower' [278, 1] (w:1, o:162, a:1, s:1, b:0),
% 7.79/8.15 'class_Parity_Oeven__odd' [279, 1] (w:1, o:163, a:1, s:1, b:0),
% 7.79/8.15 'class_OrderedGroup_Oab__semigroup__add' [280, 1] (w:1, o:159, a:1
% 7.79/8.15 , s:1, b:0),
% 7.79/8.15 'class_OrderedGroup_Osemigroup__mult' [281, 1] (w:1, o:160, a:1, s:1
% 7.79/8.15 , b:0),
% 7.79/8.15 'class_OrderedGroup_Oab__semigroup__mult' [282, 1] (w:1, o:161, a:1
% 7.79/8.15 , s:1, b:0),
% 7.79/8.15 'tc_Product__Type_Ounit' [283, 0] (w:1, o:76, a:1, s:1, b:0),
% 7.79/8.15 'tc_bool' [284, 0] (w:1, o:77, a:1, s:1, b:0),
% 7.79/8.15 'tc_fun' [286, 2] (w:1, o:229, a:1, s:1, b:0),
% 7.79/8.15 'class_Wellfounded__Recursion_Owellorder' [287, 1] (w:1, o:164, a:1
% 7.79/8.15 , s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Odivision__by__zero' [289, 1] (w:1, o:165, a:
% 7.79/8.15 1, s:1, b:0),
% 7.79/8.15 'class_HOL_Oinverse' [290, 1] (w:1, o:166, a:1, s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Ofield' [291, 1] (w:1, o:167, a:1, s:1, b:0)
% 7.79/8.15 ,
% 7.79/8.15 'class_Ring__and__Field_Oordered__field' [292, 1] (w:1, o:145, a:1
% 7.79/8.15 , s:1, b:0),
% 7.79/8.15 'class_Ring__and__Field_Opordered__comm__ring' [293, 1] (w:1, o:149
% 7.79/8.15 , a:1, s:1, b:0),
% 7.79/8.15 'c_Zorn_Osucc' [294, 3] (w:1, o:264, a:1, s:1, b:0),
% 7.79/8.15 'c_Zorn_OTFin' [295, 2] (w:1, o:230, a:1, s:1, b:0),
% 7.79/8.15 'c_Zorn_OTFin__linear__lemma1__1' [296, 3] (w:1, o:265, a:1, s:1, b:0
% 7.79/8.15 ),
% 7.79/8.15 'c_Zorn_OUnion__lemma0__1' [297, 4] (w:1, o:287, a:1, s:1, b:0),
% 7.79/8.15 'v_Y' [298, 0] (w:1, o:80, a:1, s:1, b:0),
% 7.79/8.15 'v_S' [299, 0] (w:1, o:81, a:1, s:1, b:0),
% 7.79/8.15 't_a' [300, 0] (w:1, o:82, a:1, s:1, b:0),
% 7.79/8.15 'v_n' [301, 0] (w:1, o:83, a:1, s:1, b:0).
% 7.79/8.15
% 7.79/8.15
% 7.79/8.15 Starting Search:
% 7.79/8.15
% 7.79/8.15 Resimplifying inuse:
% 7.79/8.15 Done
% 7.79/8.15
% 7.79/8.15
% 7.79/8.15 Intermediate Status:
% 7.79/8.15 Generated: 3084
% 7.79/8.15 Kept: 2000
% 7.79/8.15 Inuse: 73
% 7.79/8.15 Deleted: 0
% 7.79/8.15 Deletedinuse: 0
% 7.79/8.15
% 7.79/8.15 Resimplifying inuse:
% 7.79/8.15 Done
% 7.79/8.15
% 7.79/8.15 Resimplifying inuse:
% 7.79/8.15 Done
% 7.79/8.15
% 7.79/8.15
% 7.79/8.15 Intermediate Status:
% 7.79/8.15 Generated: 8092
% 7.79/8.15 Kept: 4003
% 7.79/8.15 Inuse: 166
% 7.79/8.15 Deleted: 1
% 7.79/8.15 Deletedinuse: 0
% 7.79/8.15
% 7.79/8.15 Resimplifying inuse:
% 7.79/8.15 Done
% 7.79/8.15
% 7.79/8.15 Resimplifying inuse:
% 7.79/8.15 Done
% 7.79/8.15
% 7.79/8.15
% 7.79/8.15 Intermediate Status:
% 7.79/8.15 Generated: 13053
% 7.79/8.15 Kept: 6069
% 7.79/8.15 Inuse: 236
% 7.79/8.15 Deleted: 5
% 7.79/8.15 Deletedinuse: 0
% 7.79/8.15
% 7.79/8.15 Resimplifying inuse:
% 7.79/8.15 Done
% 7.79/8.15
% 7.79/8.15 Resimplifying inuse:
% 7.79/8.15 Done
% 7.79/8.15
% 7.79/8.15
% 7.79/8.15 Intermediate Status:
% 7.79/8.15 Generated: 19855
% 7.79/8.15 Kept: 8261
% 13.40/13.80 Inuse: 291
% 13.40/13.80 Deleted: 5
% 13.40/13.80 Deletedinuse: 0
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 25343
% 13.40/13.80 Kept: 10407
% 13.40/13.80 Inuse: 336
% 13.40/13.80 Deleted: 5
% 13.40/13.80 Deletedinuse: 0
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 31609
% 13.40/13.80 Kept: 12437
% 13.40/13.80 Inuse: 386
% 13.40/13.80 Deleted: 5
% 13.40/13.80 Deletedinuse: 0
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 36654
% 13.40/13.80 Kept: 14695
% 13.40/13.80 Inuse: 431
% 13.40/13.80 Deleted: 5
% 13.40/13.80 Deletedinuse: 0
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 42380
% 13.40/13.80 Kept: 16762
% 13.40/13.80 Inuse: 475
% 13.40/13.80 Deleted: 7
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 47310
% 13.40/13.80 Kept: 19028
% 13.40/13.80 Inuse: 505
% 13.40/13.80 Deleted: 7
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying clauses:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 52991
% 13.40/13.80 Kept: 21084
% 13.40/13.80 Inuse: 565
% 13.40/13.80 Deleted: 145
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 59278
% 13.40/13.80 Kept: 23300
% 13.40/13.80 Inuse: 615
% 13.40/13.80 Deleted: 145
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 64292
% 13.40/13.80 Kept: 25630
% 13.40/13.80 Inuse: 690
% 13.40/13.80 Deleted: 145
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 68096
% 13.40/13.80 Kept: 27652
% 13.40/13.80 Inuse: 720
% 13.40/13.80 Deleted: 145
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 74908
% 13.40/13.80 Kept: 30089
% 13.40/13.80 Inuse: 745
% 13.40/13.80 Deleted: 145
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 80443
% 13.40/13.80 Kept: 32159
% 13.40/13.80 Inuse: 790
% 13.40/13.80 Deleted: 145
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 87437
% 13.40/13.80 Kept: 34253
% 13.40/13.80 Inuse: 815
% 13.40/13.80 Deleted: 145
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 96635
% 13.40/13.80 Kept: 36326
% 13.40/13.80 Inuse: 835
% 13.40/13.80 Deleted: 145
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 104907
% 13.40/13.80 Kept: 38682
% 13.40/13.80 Inuse: 850
% 13.40/13.80 Deleted: 145
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying clauses:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 114054
% 13.40/13.80 Kept: 40947
% 13.40/13.80 Inuse: 875
% 13.40/13.80 Deleted: 169
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 120090
% 13.40/13.80 Kept: 43098
% 13.40/13.80 Inuse: 905
% 13.40/13.80 Deleted: 169
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 126728
% 13.40/13.80 Kept: 45413
% 13.40/13.80 Inuse: 960
% 13.40/13.80 Deleted: 169
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 133842
% 13.40/13.80 Kept: 47429
% 13.40/13.80 Inuse: 990
% 13.40/13.80 Deleted: 169
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 139285
% 13.40/13.80 Kept: 49555
% 13.40/13.80 Inuse: 1040
% 13.40/13.80 Deleted: 169
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 146619
% 13.40/13.80 Kept: 51869
% 13.40/13.80 Inuse: 1065
% 13.40/13.80 Deleted: 169
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 151246
% 13.40/13.80 Kept: 54022
% 13.40/13.80 Inuse: 1075
% 13.40/13.80 Deleted: 169
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 155844
% 13.40/13.80 Kept: 56027
% 13.40/13.80 Inuse: 1125
% 13.40/13.80 Deleted: 169
% 13.40/13.80 Deletedinuse: 1
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 160624
% 13.40/13.80 Kept: 58437
% 13.40/13.80 Inuse: 1165
% 13.40/13.80 Deleted: 170
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying clauses:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 165422
% 13.40/13.80 Kept: 60731
% 13.40/13.80 Inuse: 1200
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 170958
% 13.40/13.80 Kept: 62852
% 13.40/13.80 Inuse: 1235
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 175764
% 13.40/13.80 Kept: 64877
% 13.40/13.80 Inuse: 1280
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 179638
% 13.40/13.80 Kept: 67039
% 13.40/13.80 Inuse: 1295
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 183241
% 13.40/13.80 Kept: 69179
% 13.40/13.80 Inuse: 1300
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 187454
% 13.40/13.80 Kept: 71236
% 13.40/13.80 Inuse: 1318
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 194031
% 13.40/13.80 Kept: 73327
% 13.40/13.80 Inuse: 1325
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 198462
% 13.40/13.80 Kept: 75427
% 13.40/13.80 Inuse: 1338
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 202733
% 13.40/13.80 Kept: 77546
% 13.40/13.80 Inuse: 1347
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 207376
% 13.40/13.80 Kept: 79654
% 13.40/13.80 Inuse: 1356
% 13.40/13.80 Deleted: 305
% 13.40/13.80 Deletedinuse: 2
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying clauses:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 212005
% 13.40/13.80 Kept: 81673
% 13.40/13.80 Inuse: 1366
% 13.40/13.80 Deleted: 513
% 13.40/13.80 Deletedinuse: 3
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 218474
% 13.40/13.80 Kept: 83799
% 13.40/13.80 Inuse: 1405
% 13.40/13.80 Deleted: 513
% 13.40/13.80 Deletedinuse: 3
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 228452
% 13.40/13.80 Kept: 85892
% 13.40/13.80 Inuse: 1435
% 13.40/13.80 Deleted: 513
% 13.40/13.80 Deletedinuse: 3
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Intermediate Status:
% 13.40/13.80 Generated: 236078
% 13.40/13.80 Kept: 88167
% 13.40/13.80 Inuse: 1450
% 13.40/13.80 Deleted: 513
% 13.40/13.80 Deletedinuse: 3
% 13.40/13.80
% 13.40/13.80 Resimplifying inuse:
% 13.40/13.80 Done
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 Bliksems!, er is een bewijs:
% 13.40/13.80 % SZS status Unsatisfiable
% 13.40/13.80 % SZS output start Refutation
% 13.40/13.80
% 13.40/13.80 clause( 278, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 13.40/13.80 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 13.40/13.80 .
% 13.40/13.80 clause( 1338, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' )
% 13.40/13.80 ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.80 .
% 13.40/13.80 clause( 1339, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 13.40/13.80 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.80 .
% 13.40/13.80 clause( 1340, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ) ] )
% 13.40/13.80 .
% 13.40/13.80 clause( 88372, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 13.40/13.80 .
% 13.40/13.80 clause( 89071, [] )
% 13.40/13.80 .
% 13.40/13.80
% 13.40/13.80
% 13.40/13.80 % SZS output end Refutation
% 13.40/13.80 found a proof!
% 13.40/13.80
% 13.40/13.80 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 13.40/13.80
% 13.40/13.80 initialclauses(
% 13.40/13.80 [ clause( 89073, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 13.40/13.80 'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 13.40/13.80 , clause( 89074, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'(
% 13.40/13.80 X, Y ), Y ), Y ) ] )
% 13.40/13.80 , clause( 89075, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 13.40/13.80 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89076, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 13.40/13.80 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89077, [ ~( =( 'c_Datatype_Ooption_ONone',
% 13.40/13.80 'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 13.40/13.80 , clause( 89078, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 13.40/13.80 'c_Datatype_Ooption_ONone' ) ) ] )
% 13.40/13.80 , clause( 89079, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 13.40/13.80 'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 13.40/13.80 , clause( 89080, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89081, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 13.40/13.80 , clause( 89082, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89083, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 13.40/13.80 , clause( 89084, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89085, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 13.40/13.80 , clause( 89086, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 13.40/13.80 , clause( 89087, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 13.40/13.80 , clause( 89088, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 13.40/13.80 , clause( 89089, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 13.40/13.80 , clause( 89090, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.40/13.80 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 13.40/13.80 , clause( 89091, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.40/13.80 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 13.40/13.80 , clause( 89092, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.40/13.80 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 13.40/13.80 , clause( 89093, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.40/13.80 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 13.40/13.80 , clause( 89094, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 13.40/13.80 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 13.40/13.80 , clause( 89095, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X,
% 13.40/13.80 'c_0' ) ] )
% 13.40/13.80 , clause( 89096, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89097, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 13.40/13.80 , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 13.40/13.80 , clause( 89098, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'(
% 13.40/13.80 'c_emptyset', X, Y ) ) ] )
% 13.40/13.80 , clause( 89099, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ),
% 13.40/13.80 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 13.40/13.80 , clause( 89100, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 13.40/13.80 , 'c_emptyset' ) ] )
% 13.40/13.80 , clause( 89101, [ ~( =( 'c_Extraction_Osumbool_OLeft',
% 13.40/13.80 'c_Extraction_Osumbool_ORight' ) ) ] )
% 13.40/13.80 , clause( 89102, [ ~( =( 'c_Extraction_Osumbool_ORight',
% 13.40/13.80 'c_Extraction_Osumbool_OLeft' ) ) ] )
% 13.40/13.80 , clause( 89103, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'(
% 13.40/13.80 T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 13.40/13.80 , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 13.40/13.80 , clause( 89104, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X,
% 13.40/13.80 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites',
% 13.40/13.80 'tc_set'( Z ) ) ] )
% 13.40/13.80 , clause( 89105, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites',
% 13.40/13.80 'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites',
% 13.40/13.80 'tc_set'( Y ) ) ] )
% 13.40/13.80 , clause( 89106, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.40/13.80 ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'(
% 13.40/13.80 Y ) ) ) ] )
% 13.40/13.80 , clause( 89107, [ ~( 'c_in'( 'c_union'( X, Y, Z ),
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X,
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 13.40/13.80 , clause( 89108, [ ~( 'c_in'( 'c_union'( X, Y, Z ),
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y,
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 13.40/13.80 , clause( 89109, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.40/13.80 ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 13.40/13.80 'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 13.40/13.80 , clause( 89110, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X,
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 13.40/13.80 , clause( 89111, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 13.40/13.80 'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 13.40/13.80 , clause( 89112, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 13.40/13.80 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 13.40/13.80 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89113, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 13.40/13.80 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z,
% 13.40/13.80 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89114, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~(
% 13.40/13.80 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X,
% 13.40/13.80 'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89115, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'(
% 13.40/13.80 'tc_nat' ) ) ) ] )
% 13.40/13.80 , clause( 89116, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ),
% 13.40/13.80 =( X, Y ) ] )
% 13.40/13.80 , clause( 89117, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y,
% 13.40/13.80 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 13.40/13.80 'tc_IntDef_Oint' ) ] )
% 13.40/13.80 , clause( 89118, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 13.40/13.80 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 13.40/13.80 'tc_IntDef_Oint' ) ] )
% 13.40/13.80 , clause( 89119, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 13.40/13.80 , =( X, 'c_0' ) ] )
% 13.40/13.80 , clause( 89120, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 13.40/13.80 )
% 13.40/13.80 , clause( 89121, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 13.40/13.80 ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89122, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 13.40/13.80 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 13.40/13.80 'tc_IntDef_Oint' ) ] )
% 13.40/13.80 , clause( 89123, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 13.40/13.80 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 13.40/13.80 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 13.40/13.80 , clause( 89124, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ),
% 13.40/13.80 =( X, 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89125, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ),
% 13.40/13.80 =( Y, 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89126, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 13.40/13.80 , 'c_List_Olist_ONil', X ) ) ] )
% 13.40/13.80 , clause( 89127, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ),
% 13.40/13.80 =( X, 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89128, [ =( 'c_List_Olist_ONil', 'c_List_Orev'(
% 13.40/13.80 'c_List_Olist_ONil', X ) ) ] )
% 13.40/13.80 , clause( 89129, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 13.40/13.80 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 13.40/13.80 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 13.40/13.80 , clause( 89130, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 13.40/13.80 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 13.40/13.80 'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89131, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 13.40/13.80 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 13.40/13.80 'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 13.40/13.80 , clause( 89132, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 13.40/13.80 ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 13.40/13.80 'tc_List_Olist'( Z ) ) ] )
% 13.40/13.80 , clause( 89133, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 13.40/13.80 ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 13.40/13.80 'tc_List_Olist'( Z ) ) ] )
% 13.40/13.80 , clause( 89134, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 13.40/13.80 Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 13.40/13.80 , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 13.40/13.80 Z ) ) ] )
% 13.40/13.80 , clause( 89135, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 13.40/13.80 =( X, 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89136, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 13.40/13.80 =( Y, 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89137, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 13.40/13.80 , X ), 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89138, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ),
% 13.40/13.80 =( X, T ) ] )
% 13.40/13.80 , clause( 89139, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X,
% 13.40/13.80 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89140, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 13.40/13.80 , clause( 89141, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y,
% 13.40/13.80 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89142, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 13.40/13.80 , clause( 89143, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 13.40/13.80 Z, T ) ) ), =( X, Z ) ] )
% 13.40/13.80 , clause( 89144, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 13.40/13.80 Z, T ) ) ), =( Y, T ) ] )
% 13.40/13.80 , clause( 89145, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 13.40/13.80 ), =( X, 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89146, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'(
% 13.40/13.80 X ) ), 'c_0' ) ] )
% 13.40/13.80 , clause( 89147, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 13.40/13.80 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 13.40/13.80 , clause( 89148, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 13.40/13.80 ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89149, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 13.40/13.80 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =(
% 13.40/13.80 'c_List_Oremdups'( X, Y ), X ) ] )
% 13.40/13.80 , clause( 89150, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 13.40/13.80 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 13.40/13.80 'tc_List_Olist'( Y ) ) ) ] )
% 13.40/13.80 , clause( 89151, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 13.40/13.80 ) ) ) ] )
% 13.40/13.80 , clause( 89152, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.40/13.80 'c_List_Olist_ONil' ) ) ] )
% 13.40/13.80 , clause( 89153, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.40/13.80 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89154, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.40/13.80 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 13.40/13.80 , clause( 89155, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 13.40/13.80 , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'(
% 13.40/13.80 Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 13.40/13.80 , clause( 89156, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 13.40/13.80 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 13.40/13.80 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 13.40/13.80 , clause( 89157, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ),
% 13.40/13.80 =( X, 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89158, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ),
% 13.40/13.80 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89159, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ),
% 13.40/13.80 =( X, Z ) ] )
% 13.40/13.80 , clause( 89160, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ),
% 13.40/13.80 =( Y, T ) ] )
% 13.40/13.80 , clause( 89161, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y,
% 13.40/13.80 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89162, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 13.40/13.80 , clause( 89163, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y,
% 13.40/13.80 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89164, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 13.40/13.80 , clause( 89165, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 13.40/13.80 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89166, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89167, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 13.40/13.80 'c_List_Olist_ONil' ) ] )
% 13.40/13.80 , clause( 89168, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89169, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 13.40/13.80 , clause( 89170, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 13.40/13.80 ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89171, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 13.40/13.80 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89172, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 13.40/13.80 'c_less'( X, Y, 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89173, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 13.40/13.80 , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89174, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 13.40/13.80 , clause( 89175, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 13.40/13.80 , clause( 89176, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 13.40/13.80 ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89177, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 13.40/13.80 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89178, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 13.40/13.80 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89179, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89180, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89181, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 13.40/13.80 , clause( 89182, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 13.40/13.80 ] )
% 13.40/13.80 , clause( 89183, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89184, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 13.40/13.80 'c_0' ) ] )
% 13.40/13.80 , clause( 89185, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89186, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 13.40/13.80 , clause( 89187, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89188, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 13.40/13.80 , clause( 89189, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 13.40/13.80 , clause( 89190, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 13.40/13.80 ] )
% 13.40/13.80 , clause( 89191, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 13.40/13.80 ] )
% 13.40/13.80 , clause( 89192, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 13.40/13.80 , clause( 89193, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 13.40/13.80 )
% 13.40/13.80 , clause( 89194, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 13.40/13.80 )
% 13.40/13.80 , clause( 89195, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 13.40/13.80 ) ) ] )
% 13.40/13.80 , clause( 89196, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 13.40/13.80 , =( X, U ) ] )
% 13.40/13.80 , clause( 89197, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 13.40/13.80 , =( Y, W ) ] )
% 13.40/13.80 , clause( 89198, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId',
% 13.40/13.80 'tc_prod'( Y, Y ) ) ] )
% 13.40/13.80 , clause( 89199, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z,
% 13.40/13.80 'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y,
% 13.40/13.80 'tc_prod'( T, U ) ) ] )
% 13.40/13.80 , clause( 89200, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.40/13.80 ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 13.40/13.80 , Z, T ), T ) ] )
% 13.40/13.80 , clause( 89201, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ),
% 13.40/13.80 'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'(
% 13.40/13.80 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 13.40/13.80 , clause( 89202, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.40/13.80 ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ),
% 13.40/13.80 'tc_prod'( T, Z ) ) ] )
% 13.40/13.80 , clause( 89203, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 13.40/13.80 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 13.40/13.80 , clause( 89204, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 13.40/13.80 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ),
% 13.40/13.80 =( Y, Z ) ] )
% 13.40/13.80 , clause( 89205, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 13.40/13.80 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 13.40/13.80 , clause( 89206, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y,
% 13.40/13.80 Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 13.40/13.80 , clause( 89207, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 13.40/13.80 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 13.40/13.80 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 13.40/13.80 , clause( 89208, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 13.40/13.80 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 13.40/13.80 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 13.40/13.80 , clause( 89209, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 13.40/13.80 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =(
% 13.40/13.80 Y, Z ) ] )
% 13.40/13.80 , clause( 89210, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 13.40/13.80 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 13.40/13.80 , clause( 89211, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y,
% 13.40/13.80 Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 13.40/13.80 , clause( 89212, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 13.40/13.80 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 13.40/13.80 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 13.40/13.80 , clause( 89213, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 13.40/13.80 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ),
% 13.40/13.80 'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 13.40/13.80 , clause( 89214, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 13.40/13.80 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 13.40/13.80 ) ) ), =( Y, Z ) ] )
% 13.40/13.80 , clause( 89215, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 13.40/13.80 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 13.40/13.80 , clause( 89216, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 13.40/13.80 ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 13.40/13.80 , clause( 89217, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 13.40/13.80 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 13.40/13.80 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 13.40/13.80 , clause( 89218, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 13.40/13.80 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 13.40/13.80 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 13.40/13.80 , clause( 89219, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 13.40/13.80 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 13.40/13.80 , =( Y, Z ) ] )
% 13.40/13.80 , clause( 89220, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 13.40/13.80 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 13.40/13.80 , clause( 89221, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 13.40/13.80 ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 13.40/13.80 , clause( 89222, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 13.40/13.80 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 13.40/13.80 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 13.40/13.80 , clause( 89223, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 13.40/13.80 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 13.40/13.80 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 13.40/13.80 , clause( 89224, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 13.40/13.80 'tc_set'( Z ) ), Z ) ) ] )
% 13.40/13.80 , clause( 89225, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 13.40/13.80 ) ), Z ) ] )
% 13.40/13.80 , clause( 89226, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 13.40/13.80 'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 13.40/13.80 , clause( 89227, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ),
% 13.40/13.80 'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X,
% 13.40/13.80 'tc_set'( Y ) ) ] )
% 13.40/13.80 , clause( 89228, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 13.40/13.80 'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'(
% 13.40/13.80 Z ) ), 'tc_set'( Z ) ) ] )
% 13.40/13.80 , clause( 89229, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y,
% 13.40/13.80 'tc_set'( Z ) ), Z ) ) ] )
% 13.40/13.80 , clause( 89230, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ),
% 13.40/13.80 'c_in'( X, Y, T ) ] )
% 13.40/13.80 , clause( 89231, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 13.40/13.80 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 13.40/13.80 , clause( 89232, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 13.40/13.80 , T ) ] )
% 13.40/13.80 , clause( 89233, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 13.40/13.80 , T ) ] )
% 13.40/13.80 , clause( 89234, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'(
% 13.40/13.80 X, 'c_inter'( T, Y, Z ), Z ) ] )
% 13.40/13.80 , clause( 89235, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 13.40/13.80 'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 13.40/13.80 , clause( 89236, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 13.40/13.80 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 13.40/13.80 , clause( 89237, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 13.40/13.80 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 13.40/13.80 , clause( 89238, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 13.40/13.80 , clause( 89239, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 13.40/13.80 , Z ) ] )
% 13.40/13.80 , clause( 89240, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 13.40/13.80 , Z ) ] )
% 13.40/13.80 , clause( 89241, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 13.40/13.80 , T ), 'c_in'( X, Y, T ) ] )
% 13.40/13.80 , clause( 89242, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X,
% 13.40/13.80 'c_emptyset' ) ] )
% 13.40/13.80 , clause( 89243, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y,
% 13.40/13.80 'c_emptyset' ) ] )
% 13.40/13.80 , clause( 89244, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ),
% 13.40/13.80 'c_emptyset' ) ] )
% 13.40/13.80 , clause( 89245, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 13.40/13.80 ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 13.40/13.80 , clause( 89246, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 13.40/13.80 , clause( 89247, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 13.40/13.80 , Z ) ] )
% 13.40/13.80 , clause( 89248, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 13.40/13.80 , clause( 89249, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 13.40/13.80 , T ), =( X, Y ) ] )
% 13.40/13.80 , clause( 89250, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 13.40/13.80 , clause( 89251, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 13.40/13.80 , Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89252, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 13.40/13.80 , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'(
% 13.40/13.80 Z ) ) ] )
% 13.40/13.80 , clause( 89253, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 13.40/13.80 'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 13.40/13.80 , Z ) ) ] )
% 13.40/13.80 , clause( 89254, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 13.40/13.80 , Y ) ) ), =( Z, X ) ] )
% 13.40/13.80 , clause( 89255, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 13.40/13.80 , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'(
% 13.40/13.80 Y ) ) ] )
% 13.40/13.80 , clause( 89256, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 13.40/13.80 'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 13.40/13.80 , Z ) ) ] )
% 13.40/13.80 , clause( 89257, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 13.40/13.80 T, Y, Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89258, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 13.40/13.80 T, Z, Y ) ) ) ] )
% 13.40/13.80 , clause( 89259, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 13.40/13.80 T, Y, Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89260, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 13.40/13.80 T, Z, Y ) ) ) ] )
% 13.40/13.80 , clause( 89261, [ ~( 'c_Wellfounded__Recursion_Oacyclic'(
% 13.40/13.80 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 13.40/13.80 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 13.40/13.80 , clause( 89262, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 13.40/13.80 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89263, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 13.40/13.80 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 13.40/13.80 'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 13.40/13.80 , clause( 89264, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 13.40/13.80 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'(
% 13.40/13.80 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 13.40/13.80 'tc_prod'( Z, Z ) ) ) ] )
% 13.40/13.80 , clause( 89265, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 13.40/13.80 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 13.40/13.80 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 13.40/13.80 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 13.40/13.80 , clause( 89266, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 13.40/13.80 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 13.40/13.80 'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 13.40/13.80 , clause( 89267, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 13.40/13.80 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 13.40/13.80 , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 13.40/13.80 )
% 13.40/13.80 , clause( 89268, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 13.40/13.80 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 13.40/13.80 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 13.40/13.80 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 13.40/13.80 , clause( 89269, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 13.40/13.80 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 13.40/13.80 ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89270, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 13.40/13.80 , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'(
% 13.40/13.80 'tc_nat', 'tc_nat' ) ) ] )
% 13.40/13.80 , clause( 89271, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89272, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 13.40/13.80 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 13.40/13.80 , clause( 89273, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 13.40/13.80 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 13.40/13.80 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 13.40/13.80 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 13.40/13.80 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 13.40/13.80 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.40/13.80 , clause( 89274, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 13.40/13.80 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.40/13.80 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 13.40/13.80 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.40/13.80 , clause( 89275, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 13.40/13.80 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.40/13.80 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 13.40/13.80 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.40/13.80 , clause( 89276, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 13.40/13.80 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.40/13.80 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 13.40/13.80 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 13.40/13.80 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 13.40/13.80 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 13.40/13.80 , clause( 89277, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 13.40/13.80 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 13.40/13.80 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 13.40/13.80 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 13.40/13.80 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 13.40/13.80 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.40/13.80 , clause( 89278, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 13.40/13.80 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.40/13.80 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 13.40/13.80 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 13.40/13.80 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.40/13.80 , clause( 89279, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 13.40/13.80 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.40/13.80 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 13.40/13.80 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 13.40/13.80 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.40/13.80 , clause( 89280, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 13.40/13.80 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.40/13.80 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 13.40/13.80 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 13.40/13.80 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 13.40/13.80 , clause( 89281, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.40/13.80 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 13.40/13.80 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 13.40/13.80 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 13.40/13.80 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 13.40/13.80 , clause( 89282, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 13.40/13.80 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 13.40/13.80 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 13.40/13.80 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 13.40/13.80 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 13.40/13.80 , clause( 89283, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 13.40/13.80 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 13.40/13.80 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 13.40/13.80 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 13.40/13.80 , clause( 89284, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 13.40/13.80 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.40/13.80 'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 13.40/13.80 , clause( 89285, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 13.40/13.80 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.40/13.80 'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 13.40/13.80 , clause( 89286, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 13.40/13.80 Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 13.40/13.80 , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 13.40/13.80 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 13.40/13.80 , clause( 89287, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 13.40/13.80 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 13.40/13.80 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 13.40/13.80 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 13.40/13.80 ) ) ] )
% 13.40/13.80 , clause( 89288, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 13.40/13.80 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.40/13.80 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 13.40/13.80 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 13.40/13.80 )
% 13.40/13.80 , clause( 89289, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 13.40/13.80 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.40/13.80 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 13.40/13.80 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 13.40/13.80 )
% 13.40/13.80 , clause( 89290, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 13.40/13.80 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 13.40/13.80 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 13.40/13.80 , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 13.40/13.80 , clause( 89291, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 13.40/13.80 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 13.40/13.80 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 13.40/13.80 , clause( 89292, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 13.40/13.80 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 13.40/13.80 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 13.40/13.80 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 13.40/13.80 , clause( 89293, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89294, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 13.40/13.80 )
% 13.40/13.80 , clause( 89295, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ),
% 13.40/13.80 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89296, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ),
% 13.40/13.80 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89297, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 13.40/13.80 , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89298, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'(
% 13.40/13.80 X ) ) ] )
% 13.40/13.80 , clause( 89299, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.40/13.80 ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 13.40/13.80 ) ) ] )
% 13.40/13.80 , clause( 89300, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.40/13.80 ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89301, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 13.40/13.80 ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89302, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 13.40/13.80 'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X,
% 13.40/13.80 'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites',
% 13.40/13.80 'tc_set'( Y ) ) ] )
% 13.40/13.80 , clause( 89303, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 13.40/13.80 'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ),
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ),
% 13.40/13.80 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 13.40/13.80 , clause( 89304, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 13.40/13.80 'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89305, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 13.40/13.80 'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89306, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'(
% 13.40/13.80 Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 13.40/13.80 , clause( 89307, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ),
% 13.40/13.80 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 13.40/13.80 , clause( 89308, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 13.40/13.80 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 13.40/13.80 , clause( 89309, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 13.40/13.80 , clause( 89310, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 13.40/13.80 , clause( 89311, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y,
% 13.40/13.80 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 13.40/13.80 , clause( 89312, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X,
% 13.40/13.80 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 13.40/13.80 , clause( 89313, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ),
% 13.40/13.80 'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ),
% 13.40/13.80 'tc_IntDef_Oint' ) ) ] )
% 13.40/13.80 , clause( 89314, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 13.40/13.80 , clause( 89315, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 13.40/13.80 , 'tc_set'( Y ) ) ] )
% 13.40/13.80 , clause( 89316, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 13.40/13.80 Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 13.40/13.80 )
% 13.40/13.80 , clause( 89317, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 13.40/13.80 ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 13.40/13.80 ) ] )
% 13.40/13.80 , clause( 89318, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 13.40/13.80 , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 13.40/13.80 , clause( 89319, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 13.40/13.80 , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 13.40/13.80 'tc_nat' ) ] )
% 13.40/13.80 , clause( 89320, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 13.40/13.80 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 13.40/13.80 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 13.40/13.80 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 13.40/13.80 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 13.40/13.80 , clause( 89321, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 13.40/13.80 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 13.40/13.80 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 13.40/13.80 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 13.40/13.80 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 13.40/13.80 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 13.40/13.80 , clause( 89322, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 13.40/13.80 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 13.40/13.80 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 13.40/13.80 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 13.40/13.80 'tc_prod'( Z, Z ) ) ] )
% 13.40/13.80 , clause( 89323, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 13.40/13.80 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 13.40/13.80 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 13.40/13.80 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 13.40/13.80 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 13.40/13.80 , clause( 89324, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 13.40/13.80 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 13.40/13.80 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 13.40/13.80 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 13.40/13.80 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 13.40/13.80 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 13.40/13.80 , clause( 89325, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 13.40/13.80 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 13.40/13.80 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 13.40/13.80 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 13.40/13.80 'tc_prod'( T, T ) ) ] )
% 13.40/13.80 , clause( 89326, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 13.40/13.80 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 13.40/13.81 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 13.40/13.81 'c_List_Olist_ONil' ) ] )
% 13.40/13.81 , clause( 89327, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 13.40/13.81 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 13.40/13.81 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 13.40/13.81 'c_List_Olist_ONil' ) ] )
% 13.40/13.81 , clause( 89328, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.40/13.81 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y,
% 13.40/13.81 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 13.40/13.81 , clause( 89329, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 13.40/13.81 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 13.40/13.81 , clause( 89330, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 13.40/13.81 , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 13.40/13.81 , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 13.40/13.81 , clause( 89331, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ),
% 13.40/13.81 'tc_List_Olist'( Y ) ) ] )
% 13.40/13.81 , clause( 89332, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 13.40/13.81 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 13.40/13.81 Y ) ) ] )
% 13.40/13.81 , clause( 89333, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 13.40/13.81 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 13.40/13.81 ) ) ] )
% 13.40/13.81 , clause( 89334, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89335, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89336, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 13.40/13.81 , clause( 89337, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89338, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 13.40/13.81 , X ) ] )
% 13.40/13.81 , clause( 89339, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ),
% 13.40/13.81 'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y,
% 13.40/13.81 'tc_prod'( Z, T ) ) ] )
% 13.40/13.81 , clause( 89340, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.40/13.81 ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 13.40/13.81 , clause( 89341, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ),
% 13.40/13.81 =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 13.40/13.81 ) ) ] )
% 13.40/13.81 , clause( 89342, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 13.40/13.81 'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 13.40/13.81 , clause( 89343, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 13.40/13.81 'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y,
% 13.40/13.81 'tc_prod'( T, U ) ) ] )
% 13.40/13.81 , clause( 89344, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 13.40/13.81 ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 13.40/13.81 ), U ) ] )
% 13.40/13.81 , clause( 89345, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ),
% 13.40/13.81 'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y,
% 13.40/13.81 'tc_prod'( Z, T ) ) ] )
% 13.40/13.81 , clause( 89346, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.40/13.81 ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 13.40/13.81 , clause( 89347, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 13.40/13.81 'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 13.40/13.81 , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89348, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 13.40/13.81 'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 13.40/13.81 ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 13.40/13.81 , clause( 89349, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z,
% 13.40/13.81 Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ),
% 13.40/13.81 'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 13.40/13.81 , clause( 89350, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z,
% 13.40/13.81 Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 13.40/13.81 , clause( 89351, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 13.40/13.81 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 13.40/13.81 , clause( 89352, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 13.40/13.81 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 13.40/13.81 , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y,
% 13.40/13.81 'tc_prod'( T, U ) ) ] )
% 13.40/13.81 , clause( 89353, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 13.40/13.81 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 13.40/13.81 , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z,
% 13.40/13.81 'tc_prod'( W, T ) ) ] )
% 13.40/13.81 , clause( 89354, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 13.40/13.81 'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X,
% 13.40/13.81 T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 13.40/13.81 , clause( 89355, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 13.40/13.81 ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ),
% 13.40/13.81 'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 13.40/13.81 ), 'tc_prod'( V0, T ) ) ] )
% 13.40/13.81 , clause( 89356, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 13.40/13.81 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.40/13.81 , clause( 89357, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 13.40/13.81 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 13.40/13.81 ) ) ] )
% 13.40/13.81 , clause( 89358, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 13.40/13.81 ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.40/13.81 , clause( 89359, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 13.40/13.81 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 13.40/13.81 ) ) ] )
% 13.40/13.81 , clause( 89360, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 13.40/13.81 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.40/13.81 , clause( 89361, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 13.40/13.81 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.40/13.81 , clause( 89362, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 13.40/13.81 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 13.40/13.81 ) ) ] )
% 13.40/13.81 , clause( 89363, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 13.40/13.81 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.40/13.81 , clause( 89364, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 13.40/13.81 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 13.40/13.81 ) ) ] )
% 13.40/13.81 , clause( 89365, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 13.40/13.81 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 13.40/13.81 , clause( 89366, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'(
% 13.40/13.81 'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 13.40/13.81 , clause( 89367, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ),
% 13.40/13.81 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 13.40/13.81 , clause( 89368, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 13.40/13.81 , clause( 89369, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 13.40/13.81 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 13.40/13.81 , clause( 89370, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 13.40/13.81 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 13.40/13.81 , clause( 89371, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 13.40/13.81 , clause( 89372, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 13.40/13.81 Y, X, 'tc_set'( Z ) ) ) ] )
% 13.40/13.81 , clause( 89373, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 13.40/13.81 , Y, 'tc_set'( Z ) ) ] )
% 13.40/13.81 , clause( 89374, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 13.40/13.81 , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 13.40/13.81 , clause( 89375, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ),
% 13.40/13.81 =( X, Y ) ] )
% 13.40/13.81 , clause( 89376, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 13.40/13.81 , clause( 89377, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z,
% 13.40/13.81 'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 13.40/13.81 , clause( 89378, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T,
% 13.40/13.81 'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 13.40/13.81 , clause( 89379, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 13.40/13.81 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 13.40/13.81 , clause( 89380, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 13.40/13.81 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 13.40/13.81 , clause( 89381, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 13.40/13.81 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 13.40/13.81 , clause( 89382, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 13.40/13.81 , clause( 89383, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 13.40/13.81 , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 13.40/13.81 , clause( 89384, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 13.40/13.81 , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 13.40/13.81 , clause( 89385, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 13.40/13.81 'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 13.40/13.81 , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 13.40/13.81 , T ), U, T ) ) ] )
% 13.40/13.81 , clause( 89386, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 13.40/13.81 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ),
% 13.40/13.81 =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 13.40/13.81 , clause( 89387, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 13.40/13.81 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ),
% 13.40/13.81 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 13.40/13.81 , clause( 89388, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 13.40/13.81 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ),
% 13.40/13.81 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 13.40/13.81 , clause( 89389, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 13.40/13.81 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 13.40/13.81 , clause( 89390, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 13.40/13.81 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 13.40/13.81 , clause( 89391, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 13.40/13.81 ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 13.40/13.81 , Z ), 'tc_prod'( Z, Z ) ) ] )
% 13.40/13.81 , clause( 89392, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 13.40/13.81 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 13.40/13.81 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 13.40/13.81 'tc_prod'( Z, Z ) ) ] )
% 13.40/13.81 , clause( 89393, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 13.40/13.81 , clause( 89394, [ 'c_Relation_Otrans'(
% 13.40/13.81 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89395, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'(
% 13.40/13.81 Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z,
% 13.40/13.81 X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 13.40/13.81 , clause( 89396, [ 'c_Wellfounded__Recursion_Owf'(
% 13.40/13.81 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89397, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 13.40/13.81 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 13.40/13.81 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89398, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 13.40/13.81 ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 13.40/13.81 , clause( 89399, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89400, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89401, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89402, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89403, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89404, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89405, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89406, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89407, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89408, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89409, [ 'class_Ring__and__Field_Osemiring__0__cancel'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89410, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89411, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89412, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89413, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89414, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89415, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89416, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89417, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89418, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89419, [ 'class_Ring__and__Field_Osemiring__1__cancel'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89420, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89421, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89422, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89423, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89424, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89425, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89426, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89427, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89428, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89429, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89430, [
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89431, [
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89432, [
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89433, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89434, [ 'class_Ring__and__Field_Opordered__semiring'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89435, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89436, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89437, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89438, [
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89439, [
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89440, [ 'class_Ring__and__Field_Oaxclass__abs__if'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89441, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89442, [ 'class_OrderedGroup_Olordered__ab__group'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89443, [ 'class_Ring__and__Field_Opordered__ring'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89444, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89445, [ 'class_OrderedGroup_Olordered__ab__group__abs'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89446, [ 'class_OrderedGroup_Olordered__ab__group__meet'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89447, [ 'class_OrderedGroup_Olordered__ab__group__join'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89448, [ 'class_Ring__and__Field_Olordered__ring'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89449, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89450, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89451, [ 'class_Ring__and__Field_Oordered__semidom'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89452, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89453, [ 'class_Ring__and__Field_Oordered__idom'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89454, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89455, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89456, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89457, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89458, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89459, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89460, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89461, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89462, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89463, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 13.40/13.81 'tc_IntDef_Oint' ) ] )
% 13.40/13.81 , clause( 89464, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89465, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 13.40/13.81 , clause( 89466, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 13.40/13.81 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89467, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 13.40/13.81 , clause( 89468, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89469, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89470, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89471, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89472, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89473, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89474, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89475, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89476, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89477, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89478, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89479, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89480, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89481, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89482, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89483, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89484, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89485, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89486, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89487, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89488, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89489, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 13.40/13.81 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89490, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89491, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89492, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89493, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89494, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89495, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 13.40/13.81 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89496, [
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89497, [
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89498, [
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89499, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89500, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89501, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89502, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89503, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 13.40/13.81 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89504, [
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89505, [
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89506, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89507, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89508, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89509, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89510, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89511, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89512, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89513, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89514, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 89515, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 13.40/13.81 , clause( 89516, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 13.40/13.81 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89517, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 13.40/13.81 , clause( 89518, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 13.40/13.81 , clause( 89519, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 13.40/13.81 , clause( 89520, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 13.40/13.81 'class_Finite__Set_Ofinite'( X ) ) ] )
% 13.40/13.81 , clause( 89521, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 13.40/13.81 , clause( 89522, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 13.40/13.81 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89523, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89524, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89525, [ ~( 'class_LOrder_Olorder'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89526, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'(
% 13.40/13.81 X ) ] )
% 13.40/13.81 , clause( 89527, [ ~( 'class_LOrder_Olorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89528, [ ~( 'class_LOrder_Olorder'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89529, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89530, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89531, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89532, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89533, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89534, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89535, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89536, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89537, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89538, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89539, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89540, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 89541, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89542, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.40/13.81 , clause( 89543, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89544, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 89545, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 89546, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89547, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89548, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 89549, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.40/13.81 , clause( 89550, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89551, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.40/13.81 , clause( 89552, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89553, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.40/13.81 , clause( 89554, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89555, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Numeral_Onumber'( X ) ] )
% 13.40/13.81 , clause( 89556, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89557, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89558, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89559, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89560, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89561, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89562, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89563, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89564, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89565, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89566, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89567, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89568, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89569, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89570, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89571, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89572, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89573, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89574, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89575, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89576, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 13.40/13.81 ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89577, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89578, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89579, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89580, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89581, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89582, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89583, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89584, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 89585, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89586, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89587, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89588, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89589, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89590, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89591, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89592, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89593, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89594, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89595, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89596, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 89597, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89598, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89599, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89600, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89601, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89602, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 89603, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89604, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89605, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89606, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89607, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.40/13.81 , clause( 89608, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89609, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89610, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89611, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89612, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89613, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 89614, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89615, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89616, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89617, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89618, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89619, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89620, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89621, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89622, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 89623, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89624, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89625, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89626, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89627, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89628, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89629, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89630, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89631, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89632, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89633, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89634, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.40/13.81 , clause( 89635, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 89636, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89637, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89638, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89639, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89640, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 89641, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89642, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89643, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89644, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 13.40/13.81 ), 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89645, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89646, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89647, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89648, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89649, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89650, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89651, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89652, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89653, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.40/13.81 , clause( 89654, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 89655, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89656, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89657, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89658, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89659, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 89660, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89661, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89662, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89663, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 13.40/13.81 ), 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89664, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 89665, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89666, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89667, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89668, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89669, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 89670, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89671, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89672, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 89673, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89674, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89675, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89676, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89677, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89678, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89679, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89680, [ ~(
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_Orderings_Olinorder'( X ) ] )
% 13.40/13.81 , clause( 89681, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89682, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89683, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89684, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89685, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 89686, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89687, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89688, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89689, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89690, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89691, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89692, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89693, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89694, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89695, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.40/13.81 ) ), 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89696, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.40/13.81 ) ), 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89697, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.40/13.81 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89698, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.40/13.81 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89699, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 13.40/13.81 ) ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89700, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89701, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89702, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89703, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89704, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89705, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89706, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89707, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89708, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89709, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89710, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89711, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89712, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89713, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89714, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89715, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89716, [ ~(
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89717, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89718, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89719, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.40/13.81 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 89720, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89721, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89722, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89723, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89724, [ ~( 'class_Orderings_Oorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89725, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89726, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89727, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89728, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89729, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89730, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89731, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89732, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89733, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89734, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 89735, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.40/13.81 , clause( 89736, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89737, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 89738, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89739, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89740, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89741, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89742, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89743, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 89744, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89745, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89746, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89747, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 89748, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89749, [ ~( 'class_Power_Orecpower'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89750, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89751, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 89752, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89753, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89754, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89755, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 13.40/13.81 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89756, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 13.40/13.81 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89757, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89758, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89759, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89760, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89761, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89762, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89763, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89764, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89765, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 89766, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89767, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89768, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89769, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89770, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89771, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89772, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89773, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89774, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89775, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89776, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.40/13.81 , clause( 89777, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 89778, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89779, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89780, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89781, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89782, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89783, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89784, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89785, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89786, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89787, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89788, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89789, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.40/13.81 , clause( 89790, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89791, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 89792, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 89793, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89794, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 89795, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.40/13.81 , clause( 89796, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89797, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89798, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89799, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89800, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89801, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89802, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89803, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89804, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89805, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89806, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89807, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89808, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89809, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89810, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89811, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89812, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89813, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89814, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89815, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89816, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89817, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89818, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89819, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89820, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89821, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89822, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89823, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89824, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89825, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89826, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89827, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89828, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89829, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89830, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89831, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89832, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89833, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89834, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89835, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89836, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89837, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89838, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 89839, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89840, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89841, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89842, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89843, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89844, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89845, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89846, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 89847, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 89848, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89849, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89850, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89851, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89852, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89853, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89854, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89855, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.40/13.81 , clause( 89856, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89857, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89858, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89859, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89860, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89861, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89862, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 89863, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89864, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89865, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89866, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89867, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89868, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89869, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89870, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89871, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89872, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89873, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 89874, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 89875, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89876, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89877, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89878, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89879, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 13.40/13.81 'class_HOL_Oinverse'( X ) ] )
% 13.40/13.81 , clause( 89880, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.40/13.81 , clause( 89881, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.40/13.81 , clause( 89882, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 89883, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 89884, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89885, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 89886, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89887, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89888, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89889, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89890, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89891, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89892, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.40/13.81 , clause( 89893, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89894, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89895, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89896, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89897, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89898, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89899, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89900, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89901, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89902, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89903, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 89904, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_HOL_Oinverse'( X ) ] )
% 13.40/13.81 , clause( 89905, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oidom'( X ) ] )
% 13.40/13.81 , clause( 89906, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.40/13.81 , clause( 89907, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89908, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89909, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89910, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.40/13.81 , clause( 89911, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89912, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89913, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.40/13.81 , clause( 89914, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.40/13.81 , clause( 89915, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 89916, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 89917, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89918, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 89919, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89920, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89921, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89922, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89923, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89924, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89925, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.40/13.81 , clause( 89926, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89927, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89928, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89929, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89930, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89931, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89932, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89933, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89934, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89935, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89936, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 89937, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.40/13.81 , clause( 89938, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89939, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89940, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89941, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.40/13.81 , clause( 89942, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 89943, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 89944, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 13.40/13.81 , clause( 89945, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 89946, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89947, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89948, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89949, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89950, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 89951, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89952, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 89953, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 89954, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89955, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89956, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89957, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89958, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89959, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89960, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89961, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 13.40/13.81 , clause( 89962, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.40/13.81 , clause( 89963, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 89964, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89965, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89966, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 13.40/13.81 , clause( 89967, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 89968, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 13.40/13.81 , clause( 89969, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 89970, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 89971, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89972, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.40/13.81 , clause( 89973, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 89974, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89975, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 89976, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89977, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 89978, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 89979, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89980, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Orderings_Olinorder'( X ) ] )
% 13.40/13.81 , clause( 89981, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 89982, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89983, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 89984, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 89985, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89986, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89987, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 89988, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 89989, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 89990, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89991, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 89992, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.40/13.81 , clause( 89993, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.40/13.81 , clause( 89994, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 89995, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 89996, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89997, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 89998, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 89999, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90000, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90001, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90002, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90003, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90004, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90005, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ofield'( X ) ] )
% 13.40/13.81 , clause( 90006, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_HOL_Oinverse'( X ) ] )
% 13.40/13.81 , clause( 90007, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.40/13.81 , clause( 90008, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 90009, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 90010, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 90011, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 90012, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 90013, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 90014, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90015, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 90016, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90017, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oidom'( X ) ] )
% 13.40/13.81 , clause( 90018, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90019, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90020, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90021, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90022, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90023, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90024, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90025, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90026, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90027, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90028, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.40/13.81 , clause( 90029, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90030, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.40/13.81 , clause( 90031, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90032, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90033, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 13.40/13.81 , clause( 90034, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 13.40/13.81 , clause( 90035, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90036, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90037, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 13.40/13.81 , clause( 90038, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.40/13.81 , clause( 90039, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.40/13.81 , clause( 90040, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90041, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Orderings_Olinorder'( X ) ] )
% 13.40/13.81 , clause( 90042, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 13.40/13.81 , clause( 90043, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 13.40/13.81 , clause( 90044, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 13.40/13.81 , clause( 90045, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.40/13.81 , clause( 90046, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90047, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 13.40/13.81 , clause( 90048, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 13.40/13.81 , clause( 90049, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 13.40/13.81 , clause( 90050, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.40/13.81 , clause( 90051, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.40/13.81 , clause( 90052, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 90053, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90054, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90055, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90056, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 90057, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90058, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90059, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90060, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90061, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 90062, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 13.40/13.81 , clause( 90063, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90064, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 90065, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 90066, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 13.40/13.81 , clause( 90067, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.40/13.81 , clause( 90068, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 90069, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 90070, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 90071, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 90072, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90073, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 90074, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90075, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90076, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90077, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90078, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring__1'( X ) ] )
% 13.40/13.81 , clause( 90079, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90080, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90081, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90082, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90083, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90084, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90085, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90086, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90087, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90088, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90089, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 90090, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 13.40/13.81 , clause( 90091, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.40/13.81 , clause( 90092, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90093, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Orderings_Olinorder'( X ) ] )
% 13.40/13.81 , clause( 90094, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 90095, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90096, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90097, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 90098, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90099, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90100, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90101, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.40/13.81 , clause( 90102, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90103, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90104, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90105, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90106, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90107, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 13.40/13.81 , clause( 90108, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 13.40/13.81 , clause( 90109, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 13.40/13.81 , clause( 90110, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 13.40/13.81 , clause( 90111, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 90112, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 13.40/13.81 , clause( 90113, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 13.40/13.81 , clause( 90114, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 13.40/13.81 , clause( 90115, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.40/13.81 , clause( 90116, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90117, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 13.40/13.81 , clause( 90118, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.40/13.81 , clause( 90119, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oidom'( X ) ] )
% 13.40/13.81 , clause( 90120, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 90121, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.40/13.81 , clause( 90122, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 90123, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 90124, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 90125, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90126, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90127, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90128, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90129, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90130, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90131, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.40/13.81 , clause( 90132, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90133, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Orderings_Olinorder'( X ) ] )
% 13.40/13.81 , clause( 90134, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 90135, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90136, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 90137, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90138, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 90139, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90140, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.40/13.81 , clause( 90141, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90142, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90143, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90144, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90145, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 13.40/13.81 , clause( 90146, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 13.40/13.81 , clause( 90147, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90148, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90149, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 13.40/13.81 , clause( 90150, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 13.40/13.81 , clause( 90151, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 13.40/13.81 , clause( 90152, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 13.40/13.81 , clause( 90153, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 13.40/13.81 , clause( 90154, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 13.40/13.81 , clause( 90155, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90156, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90157, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90158, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90159, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90160, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 13.40/13.81 ), 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90161, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 90162, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 13.40/13.81 , clause( 90163, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90164, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90165, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90166, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90167, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90168, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90169, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90170, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90171, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90172, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90173, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 13.40/13.81 , clause( 90174, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90175, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90176, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90177, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90178, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 13.40/13.81 , clause( 90179, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 13.40/13.81 , clause( 90180, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90181, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Orderings_Olinorder'( X ) ] )
% 13.40/13.81 , clause( 90182, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 90183, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90184, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 90185, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90186, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 90187, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90188, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90189, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.40/13.81 , clause( 90190, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90191, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90192, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90193, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90194, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90195, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 90196, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 90197, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 90198, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 90199, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90200, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 90201, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90202, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90203, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 13.40/13.81 , clause( 90204, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 90205, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90206, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90207, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 90208, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 90209, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90210, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90211, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90212, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90213, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90214, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90215, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90216, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.40/13.81 , clause( 90217, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90218, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90219, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90220, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90221, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90222, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90223, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90224, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 90225, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90226, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 90227, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90228, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90229, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90230, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90231, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90232, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90233, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90234, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90235, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90236, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.40/13.81 , clause( 90237, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90238, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90239, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90240, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90241, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90242, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90243, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90244, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90245, [ ~(
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90246, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90247, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90248, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90249, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90250, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90251, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90252, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90253, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90254, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90255, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90256, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90257, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90258, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90259, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90260, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90261, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 13.40/13.81 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90262, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 13.40/13.81 , clause( 90263, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 90264, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90265, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90266, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90267, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90268, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90269, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90270, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90271, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90272, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90273, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90274, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90275, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90276, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90277, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90278, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90279, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90280, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 90281, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90282, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 90283, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90284, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90285, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90286, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90287, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 13.40/13.81 , clause( 90288, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 13.40/13.81 , clause( 90289, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90290, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90291, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90292, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90293, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90294, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90295, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90296, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90297, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90298, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90299, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90300, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90301, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90302, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 13.40/13.81 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90303, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 90304, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90305, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90306, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90307, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90308, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90309, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90310, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 13.40/13.81 , clause( 90311, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90312, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90313, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90314, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90315, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 90316, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 13.40/13.81 , clause( 90317, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90318, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 13.40/13.81 , clause( 90319, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90320, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90321, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90322, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90323, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90324, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90325, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90326, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90327, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90328, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90329, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90330, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90331, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90332, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90333, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90334, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90335, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90336, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90337, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90338, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90339, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90340, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90341, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90342, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90343, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90344, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90345, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90346, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90347, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90348, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90349, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 90350, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90351, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90352, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oring'( X ) ] )
% 13.40/13.81 , clause( 90353, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 13.40/13.81 , clause( 90354, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90355, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90356, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90357, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90358, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90359, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 90360, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 90361, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 90362, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 90363, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 13.40/13.81 , clause( 90364, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_HOL_Ominus'( X ) ] )
% 13.40/13.81 , clause( 90365, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90366, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90367, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90368, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90369, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90370, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90371, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90372, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90373, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90374, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90375, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90376, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90377, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90378, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90379, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90380, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90381, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90382, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90383, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90384, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90385, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90386, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90387, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90388, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90389, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90390, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90391, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90392, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90393, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90394, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90395, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90396, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 90397, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90398, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90399, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 90400, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 90401, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90402, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90403, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90404, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90405, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90406, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90407, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 13.40/13.81 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90408, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 13.40/13.81 , clause( 90409, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 13.40/13.81 , clause( 90410, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_HOL_Oone'( X ) ] )
% 13.40/13.81 , clause( 90411, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 13.40/13.81 , clause( 90412, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_HOL_Otimes'( X ) ] )
% 13.40/13.81 , clause( 90413, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90414, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90415, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 13.40/13.81 , clause( 90416, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 13.40/13.81 , clause( 90417, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 13.40/13.81 , clause( 90418, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 13.40/13.81 , clause( 90419, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_HOL_Ozero'( X ) ] )
% 13.40/13.81 , clause( 90420, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90421, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 13.40/13.81 , clause( 90422, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_HOL_Oplus'( X ) ] )
% 13.40/13.81 , clause( 90423, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 13.40/13.81 , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 13.40/13.81 , clause( 90424, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oord'( X ) ] )
% 13.40/13.81 , clause( 90425, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.40/13.81 'class_Orderings_Oorder'( X ) ] )
% 13.40/13.81 , clause( 90426, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.40/13.81 'class_LOrder_Omeet__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90427, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.40/13.81 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 13.40/13.81 , clause( 90428, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.40/13.81 'class_LOrder_Olorder'( X ) ] )
% 13.40/13.81 , clause( 90429, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 13.40/13.81 'class_Orderings_Olinorder'( X ) ] )
% 13.40/13.81 , clause( 90430, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 13.40/13.81 'tc_set'( Z ) ) ) ] )
% 13.40/13.81 , clause( 90431, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 13.40/13.81 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 13.40/13.81 ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 13.40/13.81 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 13.40/13.81 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 13.40/13.81 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 13.40/13.81 , clause( 90432, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 13.40/13.81 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 13.40/13.81 ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 13.40/13.81 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 13.40/13.81 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 13.40/13.81 ) ) ) ] )
% 13.40/13.81 , clause( 90433, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 13.40/13.81 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 13.40/13.81 ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 13.40/13.81 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 13.40/13.81 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 13.40/13.81 , clause( 90434, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 13.40/13.81 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 13.40/13.81 ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 13.40/13.81 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 13.40/13.81 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 13.40/13.81 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 90435, [ 'c_in'( 'c_Zorn_OUnion__lemma0__1'( X, Y, Z, T ), Z,
% 13.40/13.81 'tc_set'( T ) ), 'c_lessequals'( Y, 'c_Union'( Z, T ), 'tc_set'( T ) ),
% 13.40/13.81 'c_lessequals'( 'c_Union'( Z, T ), X, 'tc_set'( T ) ) ] )
% 13.40/13.81 , clause( 90436, [ ~( 'c_lessequals'( 'c_Zorn_OUnion__lemma0__1'( X, Y, Z,
% 13.40/13.81 T ), X, 'tc_set'( T ) ) ), 'c_lessequals'( Y, 'c_Union'( Z, T ), 'tc_set'(
% 13.40/13.81 T ) ), 'c_lessequals'( 'c_Union'( Z, T ), X, 'tc_set'( T ) ) ] )
% 13.40/13.81 , clause( 90437, [ ~( 'c_lessequals'( X, 'c_Zorn_OUnion__lemma0__1'( Y, X,
% 13.40/13.81 Z, T ), 'tc_set'( T ) ) ), 'c_lessequals'( X, 'c_Union'( Z, T ), 'tc_set'(
% 13.40/13.81 T ) ), 'c_lessequals'( 'c_Union'( Z, T ), Y, 'tc_set'( T ) ) ] )
% 13.40/13.81 , clause( 90438, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 13.40/13.81 'c_lessequals'( X, 'c_Zorn_Osucc'( T, Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 13.40/13.81 ] )
% 13.40/13.81 , clause( 90439, [ 'c_lessequals'( 'v_Y', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 13.40/13.81 'tc_set'( 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 13.40/13.81 , clause( 90440, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 13.40/13.81 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.81 , clause( 90441, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a'
% 13.40/13.81 ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.81 , clause( 90442, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 13.40/13.81 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.81 , clause( 90443, [ ~( =( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ) ) ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 90444, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' )
% 13.40/13.81 , 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 13.40/13.81 ) ] )
% 13.40/13.81 , clause( 90445, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), Y,
% 13.40/13.81 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, Y ), ~( 'c_lessequals'( X, Y,
% 13.40/13.81 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S',
% 13.40/13.81 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( Y, 'v_Y', 'tc_set'(
% 13.40/13.81 'tc_set'( 't_a' ) ) ) ) ] )
% 13.40/13.81 ] ).
% 13.40/13.81
% 13.40/13.81
% 13.40/13.81
% 13.40/13.81 subsumption(
% 13.40/13.81 clause( 278, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 13.40/13.81 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 13.40/13.81 , clause( 89381, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 13.40/13.81 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 13.40/13.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 13.40/13.81 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 13.40/13.81
% 13.40/13.81
% 13.40/13.81 subsumption(
% 13.40/13.81 clause( 1338, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' )
% 13.40/13.81 ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.81 , clause( 90441, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a'
% 13.40/13.81 ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.81 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.40/13.81
% 13.40/13.81
% 13.40/13.81 subsumption(
% 13.40/13.81 clause( 1339, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 13.40/13.81 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.81 , clause( 90442, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 13.40/13.81 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.81 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.40/13.81
% 13.40/13.81
% 13.40/13.81 eqswap(
% 13.40/13.81 clause( 91302, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ) ]
% 13.40/13.81 )
% 13.40/13.81 , clause( 90443, [ ~( =( 'v_n', 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ) ) ) ]
% 13.40/13.81 )
% 13.40/13.81 , 0, substitution( 0, [] )).
% 13.40/13.81
% 13.40/13.81
% 13.40/13.81 subsumption(
% 13.40/13.81 clause( 1340, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ) ] )
% 13.40/13.81 , clause( 91302, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ) ]
% 13.40/13.81 )
% 13.40/13.81 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.40/13.82
% 13.40/13.82
% 13.40/13.82 resolution(
% 13.40/13.82 clause( 91303, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ),
% 13.40/13.82 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), =( 'c_Union'( 'v_Y', 'tc_set'(
% 13.40/13.82 't_a' ) ), 'v_n' ) ] )
% 13.40/13.82 , clause( 278, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 13.40/13.82 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 13.40/13.82 , 0, clause( 1338, [ 'c_lessequals'( 'v_n', 'c_Union'( 'v_Y', 'tc_set'(
% 13.40/13.82 't_a' ) ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.82 , 0, substitution( 0, [ :=( X, 'v_n' ), :=( Y, 'c_Union'( 'v_Y', 'tc_set'(
% 13.40/13.82 't_a' ) ) ), :=( Z, 'tc_set'( 't_a' ) )] ), substitution( 1, [] )).
% 13.40/13.82
% 13.40/13.82
% 13.40/13.82 resolution(
% 13.40/13.82 clause( 91305, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 13.40/13.82 , clause( 91303, [ ~( 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) )
% 13.40/13.82 , 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ), =( 'c_Union'( 'v_Y', 'tc_set'(
% 13.40/13.82 't_a' ) ), 'v_n' ) ] )
% 13.40/13.82 , 0, clause( 1339, [ 'c_lessequals'( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) )
% 13.40/13.82 , 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 13.40/13.82 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 13.40/13.82
% 13.40/13.82
% 13.40/13.82 subsumption(
% 13.40/13.82 clause( 88372, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 13.40/13.82 , clause( 91305, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 13.40/13.82 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.40/13.82
% 13.40/13.82
% 13.40/13.82 paramod(
% 13.40/13.82 clause( 91309, [ ~( =( 'v_n', 'v_n' ) ) ] )
% 13.40/13.82 , clause( 88372, [ =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) ] )
% 13.40/13.82 , 0, clause( 1340, [ ~( =( 'c_Union'( 'v_Y', 'tc_set'( 't_a' ) ), 'v_n' ) )
% 13.40/13.82 ] )
% 13.40/13.82 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 13.40/13.82
% 13.40/13.82
% 13.40/13.82 eqrefl(
% 13.40/13.82 clause( 91310, [] )
% 13.40/13.82 , clause( 91309, [ ~( =( 'v_n', 'v_n' ) ) ] )
% 13.40/13.82 , 0, substitution( 0, [] )).
% 13.40/13.82
% 13.40/13.82
% 13.40/13.82 subsumption(
% 13.40/13.82 clause( 89071, [] )
% 13.40/13.82 , clause( 91310, [] )
% 13.40/13.82 , substitution( 0, [] ), permutation( 0, [] ) ).
% 13.40/13.82
% 13.40/13.82
% 13.40/13.82 end.
% 13.40/13.82
% 13.40/13.82 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 13.40/13.82
% 13.40/13.82 Memory use:
% 13.40/13.82
% 13.40/13.82 space for terms: 2538996
% 13.40/13.82 space for clauses: 4958957
% 13.40/13.82
% 13.40/13.82
% 13.40/13.82 clauses generated: 240440
% 13.40/13.82 clauses kept: 89072
% 13.40/13.82 clauses selected: 1463
% 13.40/13.82 clauses deleted: 515
% 13.40/13.82 clauses inuse deleted: 3
% 13.40/13.82
% 13.40/13.82 subsentry: 727850
% 13.40/13.82 literals s-matched: 468084
% 13.40/13.82 literals matched: 417952
% 13.40/13.82 full subsumption: 227105
% 13.40/13.82
% 13.40/13.82 checksum: -1693106454
% 13.40/13.82
% 13.40/13.82
% 13.40/13.82 Bliksem ended
%------------------------------------------------------------------------------