TSTP Solution File: LCL441-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL441-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:53:44 EDT 2022
% Result : Unsatisfiable 3.70s 4.05s
% Output : Refutation 3.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL441-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.33 % Computer : n016.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Sun Jul 3 03:06:14 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.89/1.27 *** allocated 10000 integers for termspace/termends
% 0.89/1.27 *** allocated 10000 integers for clauses
% 0.89/1.27 *** allocated 10000 integers for justifications
% 0.89/1.27 *** allocated 15000 integers for termspace/termends
% 0.89/1.27 Bliksem 1.12
% 0.89/1.27
% 0.89/1.27
% 0.89/1.27 Automatic Strategy Selection
% 0.89/1.27
% 0.89/1.27 Clauses:
% 0.89/1.27 [
% 0.89/1.27 [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Ovar'( X, Y ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Ofalse' ) ) ],
% 0.89/1.27 [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ) )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 'c_PropLog_Opl_Ofalse' )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Oop_A_N_62'( Z, T,
% 0.89/1.27 Y ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 'c_PropLog_Opl_Ovar'( T,
% 0.89/1.27 Z ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Ovar'( Z, Y ) ) ),
% 0.89/1.27 =( X, Z ) ],
% 0.89/1.27 [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ),
% 0.89/1.27 'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( X, T ) ],
% 0.89/1.27 [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ),
% 0.89/1.27 'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( Y, U ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 0.89/1.27 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 0.89/1.27 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 0.89/1.27 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 0.89/1.27 , Y ) ],
% 0.89/1.27 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.89/1.27 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.89/1.27 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 0.89/1.27 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 0.89/1.27 Z, Y ) ) ), =( X, Z ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.89/1.27 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.89/1.27 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.89/1.27 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.89/1.27 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 0.89/1.27 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 0.89/1.27 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.89/1.27 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 0.89/1.27 X, 'c_emptyset' ) ],
% 0.89/1.27 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 0.89/1.27 X, 'c_emptyset' ) ],
% 0.89/1.27 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 0.89/1.27 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 0.89/1.27 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 0.89/1.27 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 0.89/1.27 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.89/1.27 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.89/1.27 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 0.89/1.27 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 0.89/1.27 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 0.89/1.27 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.89/1.27 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 0.89/1.27 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 0.89/1.27 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 0.89/1.27 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 0.89/1.27 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.89/1.27 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 0.89/1.27 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 0.89/1.27 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 0.89/1.27 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 0.89/1.27 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.89/1.27 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.89/1.27 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 0.89/1.27 ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.89/1.27 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 0.89/1.27 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.89/1.27 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.89/1.27 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 0.89/1.27 'c_List_Olist_ONil', X ) ) ],
% 0.89/1.27 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.89/1.27 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 0.89/1.27 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.89/1.27 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.89/1.27 Z ) ) ), =( X, T ) ],
% 0.89/1.27 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 0.89/1.27 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 0.89/1.27 Z ) ) ), =( Y, U ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.89/1.27 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 0.89/1.27 'tc_List_Olist'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.89/1.27 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.89/1.27 'tc_List_Olist'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.89/1.27 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 0.89/1.27 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 0.89/1.27 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 0.89/1.27 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.89/1.27 =( X, Z ) ],
% 0.89/1.27 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 0.89/1.27 =( Y, T ) ],
% 0.89/1.27 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 0.89/1.27 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 0.89/1.27 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 0.89/1.27 , =( X, 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.89/1.27 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 0.89/1.27 Y ), X ) ],
% 0.89/1.27 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 0.89/1.27 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 0.89/1.27 'tc_List_Olist'( Y ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 0.89/1.27 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.89/1.27 ) ), =( X, T ) ],
% 0.89/1.27 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.89/1.27 ) ), =( Y, U ) ],
% 0.89/1.27 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.89/1.27 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.89/1.27 'c_List_Olist_ONil', Y ), Y ) ) ],
% 0.89/1.27 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 0.89/1.27 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 0.89/1.27 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.89/1.27 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 0.89/1.27 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 0.89/1.27 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 0.89/1.27 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 0.89/1.27 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.89/1.27 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 0.89/1.27 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 0.89/1.27 'c_Suc'( Y ), 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 0.89/1.27 , 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 0.89/1.27 , 'tc_nat' ) ],
% 0.89/1.27 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 0.89/1.27 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 0.89/1.27 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 0.89/1.27 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 0.89/1.27 'tc_nat' ), 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 0.89/1.27 'tc_nat' ), 'tc_nat' ) ],
% 0.89/1.27 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 0.89/1.27 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.89/1.27 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 0.89/1.27 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.89/1.27 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.89/1.27 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 0.89/1.27 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 0.89/1.27 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 0.89/1.27 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 0.89/1.27 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.89/1.27 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.27 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 0.89/1.27 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 0.89/1.27 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.89/1.27 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 0.89/1.27 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.89/1.27 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.89/1.27 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 0.89/1.27 ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 0.89/1.27 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.89/1.27 Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 0.89/1.27 ) ), =( X, Y ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 0.89/1.27 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.89/1.27 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.89/1.27 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.89/1.27 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 0.89/1.27 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.89/1.27 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 0.89/1.27 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 0.89/1.27 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.89/1.27 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.89/1.27 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 0.89/1.27 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 0.89/1.27 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.89/1.27 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 0.89/1.27 Z, X ), 'tc_set'( X ) ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.27 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.89/1.27 ) ) ), =( Y, Z ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.89/1.27 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 0.89/1.27 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.89/1.27 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 0.89/1.27 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.27 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 0.89/1.27 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 0.89/1.27 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 0.89/1.27 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 0.89/1.27 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.89/1.27 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 0.89/1.27 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.27 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 0.89/1.27 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 0.89/1.27 Z ) ) ],
% 0.89/1.27 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 0.89/1.27 ), =( X, Z ) ],
% 0.89/1.27 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 0.89/1.27 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 0.89/1.27 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 0.89/1.27 , Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 0.89/1.27 , 'tc_set'( Z ) ), Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 0.89/1.27 T, Y, Z ), Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 0.89/1.27 ) ), 'c_in'( T, X, Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 0.89/1.27 , 'tc_set'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 0.89/1.27 , 'tc_set'( Z ) ) ],
% 0.89/1.27 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 0.89/1.27 X, Y, T ) ],
% 0.89/1.27 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 0.89/1.27 , 'c_Union'( T, Z ), Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.89/1.27 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 0.89/1.27 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 0.89/1.27 X, T ) ],
% 0.89/1.27 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 0.89/1.27 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.89/1.27 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 0.89/1.27 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 0.89/1.27 Z, X ) ],
% 0.89/1.27 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 0.89/1.27 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 0.89/1.27 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 0.89/1.27 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 0.89/1.27 , =( X, T ) ],
% 0.89/1.27 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 0.89/1.27 , =( X, T ) ],
% 0.89/1.27 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 0.89/1.27 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.89/1.27 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.89/1.27 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 0.89/1.27 T, Z ) ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 0.89/1.27 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.89/1.27 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 0.89/1.27 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 0.89/1.27 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.89/1.27 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.89/1.27 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 0.89/1.27 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.89/1.27 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.89/1.27 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 0.89/1.27 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 0.89/1.27 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 0.89/1.27 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 0.89/1.27 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 0.89/1.27 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 0.89/1.27 'tc_nat' ) ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 0.89/1.27 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 0.89/1.27 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.89/1.27 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 0.89/1.27 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 0.89/1.27 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 0.89/1.27 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 0.89/1.27 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 0.89/1.27 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.89/1.27 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.89/1.27 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 0.89/1.27 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 0.89/1.27 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 0.89/1.27 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.89/1.27 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 0.89/1.27 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.89/1.27 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.89/1.27 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.89/1.27 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.89/1.27 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 0.89/1.27 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 0.89/1.27 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 0.89/1.27 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 0.89/1.27 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.89/1.27 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.89/1.27 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 0.89/1.27 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.89/1.27 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.89/1.27 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 0.89/1.27 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 0.89/1.27 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 0.89/1.27 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 0.89/1.27 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 0.89/1.27 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.89/1.27 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 0.89/1.27 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 0.89/1.27 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 0.89/1.27 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.89/1.27 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.89/1.27 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 0.89/1.27 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 0.89/1.27 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 0.89/1.27 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 0.89/1.27 ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 0.89/1.27 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.89/1.27 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.89/1.27 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 0.89/1.27 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 0.89/1.27 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 0.89/1.27 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.89/1.27 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 0.89/1.27 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 0.89/1.27 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 0.89/1.27 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 0.89/1.27 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 0.89/1.27 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.89/1.27 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.89/1.27 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 0.89/1.27 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.89/1.27 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 0.89/1.27 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 0.89/1.27 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 0.89/1.27 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 0.89/1.27 , 'tc_set'( Y ) ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.89/1.27 ) ), X, 'tc_nat' ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 0.89/1.27 ) ), Y, 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 0.89/1.27 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 0.89/1.27 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 0.89/1.27 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 0.89/1.27 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 0.89/1.27 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 0.89/1.27 ) ) ],
% 0.89/1.27 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.89/1.27 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 0.89/1.27 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 0.89/1.27 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 0.89/1.27 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 0.89/1.27 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.89/1.27 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 0.89/1.27 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.89/1.27 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.89/1.27 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.89/1.27 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 0.89/1.27 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 0.89/1.27 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.89/1.27 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.89/1.27 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.89/1.27 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 0.89/1.27 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.89/1.27 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 0.89/1.27 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 0.89/1.27 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 0.89/1.27 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 0.89/1.27 'tc_prod'( Z, Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.89/1.27 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.89/1.27 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 0.89/1.27 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 0.89/1.27 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.89/1.27 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.89/1.27 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.89/1.27 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 0.89/1.27 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.89/1.27 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.89/1.27 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 0.89/1.27 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 0.89/1.27 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 0.89/1.27 'tc_prod'( T, T ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 0.89/1.27 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.89/1.27 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 0.89/1.27 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 0.89/1.27 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 0.89/1.27 'c_List_Olist_ONil' ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.89/1.27 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 0.89/1.27 'tc_List_Olist'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 0.89/1.27 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 0.89/1.27 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 0.89/1.27 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 0.89/1.27 Y ) ) ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.89/1.27 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 0.89/1.27 Y ) ) ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 0.89/1.27 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 0.89/1.27 ) ) ],
% 0.89/1.27 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 0.89/1.27 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 0.89/1.27 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 0.89/1.27 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 0.89/1.27 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.89/1.27 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 0.89/1.27 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 0.89/1.27 T, U ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 0.89/1.27 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 0.89/1.27 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 0.89/1.27 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.89/1.27 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 0.89/1.27 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 0.89/1.27 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 0.89/1.27 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 0.89/1.27 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 0.89/1.27 , Z, Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.89/1.27 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 0.89/1.27 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.89/1.27 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 0.89/1.27 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.89/1.27 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.89/1.27 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 0.89/1.27 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 0.89/1.27 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 0.89/1.27 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 0.89/1.27 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 0.89/1.27 T ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 0.89/1.27 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 0.89/1.27 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 0.89/1.27 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 0.89/1.27 Z ), Y, 'tc_set'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 0.89/1.27 'c_Inter'( Y, Z ), Z ) ],
% 0.89/1.27 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 0.89/1.27 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 0.89/1.27 X, Y, Z ), Z ) ],
% 0.89/1.27 [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 0.89/1.27 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.89/1.27 'tc_set'( Z ) ) ) ],
% 0.89/1.27 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 0.89/1.27 Z ) ) ],
% 0.89/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'(
% 0.89/1.27 Z ) ), =( X, Y ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 0.89/1.27 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 0.89/1.27 ) ) ), =( X, Z ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 0.89/1.27 'c_in'( X, T, Z ) ],
% 0.89/1.27 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 0.89/1.27 , 'tc_set'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 0.89/1.27 X, Y, 'tc_set'( Z ) ) ],
% 0.89/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 0.89/1.27 'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.89/1.27 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ),
% 0.89/1.27 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ),
% 0.89/1.27 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.89/1.27 , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ),
% 0.89/1.27 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.89/1.27 , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 0.89/1.27 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.89/1.27 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 0.89/1.27 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 0.89/1.27 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 0.89/1.27 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 0.89/1.27 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 0.89/1.27 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 0.89/1.27 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.89/1.27 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.89/1.27 ), 'tc_prod'( Y, Y ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.89/1.27 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.89/1.27 'tc_prod'( Z, Z ) ) ],
% 0.89/1.27 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.89/1.27 , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.27 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 0.89/1.27 [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 0.89/1.27 [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ),
% 0.89/1.27 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 0.89/1.27 , 'tc_prod'( T, Y ) ) ],
% 0.89/1.27 [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 0.89/1.27 , 'tc_nat' ) ],
% 0.89/1.27 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 0.89/1.27 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 0.89/1.27 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 0.89/1.27 ],
% 0.89/1.27 [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~(
% 0.89/1.27 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.89/1.27 [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 0.89/1.27 ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 0.89/1.27 ) ],
% 0.89/1.27 [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 0.89/1.27 ],
% 0.89/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 0.89/1.27 ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 0.89/1.27 ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 0.89/1.27 ],
% 0.89/1.27 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 0.89/1.27 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 0.89/1.27 [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 0.89/1.27 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 0.89/1.27 [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.27 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.89/1.27 ],
% 0.89/1.27 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 0.89/1.27 [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.89/1.27 ],
% 0.89/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.89/1.27 ) ],
% 0.89/1.27 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.89/1.27 ],
% 0.89/1.27 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 0.89/1.27 ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.89/1.27 ],
% 0.89/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.89/1.27 [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 0.89/1.27 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.89/1.27 ],
% 0.89/1.27 [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 0.89/1.27 [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 0.89/1.27 [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 0.89/1.27 [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 0.89/1.27 'class_Finite__Set_Ofinite'( X ) ) ],
% 0.89/1.27 [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 0.89/1.27 [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 0.89/1.27 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.89/1.27 X ) ],
% 0.89/1.27 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.89/1.27 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 0.89/1.27 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 0.89/1.27 X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.89/1.27 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 0.89/1.27 ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 0.89/1.27 X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.89/1.27 'class_HOL_Otimes'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_HOL_Oplus'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.89/1.27 'class_HOL_Oplus'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 0.89/1.27 X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 0.89/1.27 X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 0.89/1.27 X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 0.89/1.27 X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 0.89/1.27 X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_LOrder_Olorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_HOL_Ominus'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 0.89/1.27 X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_Orderings_Oorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 0.89/1.27 'class_Orderings_Oord'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_HOL_Oplus'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_LOrder_Olorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_Orderings_Oorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_Orderings_Oord'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_HOL_Ominus'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_HOL_Ozero'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_HOL_Oplus'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_LOrder_Olorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_HOL_Ominus'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_HOL_Ozero'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_Orderings_Oorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 0.89/1.27 'class_Orderings_Oord'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_HOL_Oplus'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_LOrder_Olorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_HOL_Ominus'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_HOL_Ozero'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_Orderings_Oorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 0.89/1.27 'class_Orderings_Oord'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.89/1.27 ,
% 0.89/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 0.89/1.27 ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_LOrder_Olorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_Orderings_Oorder'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.27 'class_Orderings_Oord'( X ) ],
% 0.89/1.27 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_Orderings_Olinorder'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_HOL_Ominus'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.28 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.28 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.28 , 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.28 , 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.28 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.28 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.28 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.28 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.28 , 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 0.89/1.28 ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.89/1.28 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.89/1.28 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Power_Orecpower'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 0.89/1.28 'class_HOL_Oone'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.89/1.28 'class_HOL_Ominus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 0.89/1.28 ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 0.89/1.28 ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_HOL_Oone'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Oone'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.28 'class_HOL_Oinverse'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oidom'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_LOrder_Olorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Orderings_Olinorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_LOrder_Olorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ofield'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_HOL_Oinverse'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oidom'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Orderings_Olinorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_LOrder_Olorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Orderings_Olinorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_LOrder_Olorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oidom'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Orderings_Olinorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_LOrder_Olorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_HOL_Ominus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 0.89/1.28 'class_HOL_Oplus'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_Orderings_Olinorder'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_LOrder_Omeet__semilorder'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
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% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_Orderings_Olinorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_LOrder_Olorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_LOrder_Omeet__semilorder'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
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% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 0.89/1.28 'class_HOL_Oplus'( X ) ],
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% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
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% 0.89/1.28 'class_Orderings_Oord'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 0.89/1.28 'class_HOL_Otimes'( X ) ],
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% 0.89/1.28 'class_HOL_Ozero'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
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% 0.89/1.28 'class_HOL_Oplus'( X ) ],
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% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
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% 0.89/1.28 'class_Orderings_Oord'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 0.89/1.28 'class_HOL_Ozero'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
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% 0.89/1.28 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_HOL_Ominus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 0.89/1.28 X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 0.89/1.28 ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 0.89/1.28 ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Oone'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Otimes'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Ozero'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_HOL_Oplus'( X ) ],
% 0.89/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 0.89/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.89/1.28 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.89/1.28 'class_Orderings_Oord'( X ) ],
% 0.89/1.28 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.89/1.28 'class_Orderings_Oorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.89/1.28 'class_LOrder_Omeet__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.89/1.28 'class_LOrder_Ojoin__semilorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.89/1.28 'class_LOrder_Olorder'( X ) ],
% 0.89/1.28 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 0.89/1.28 'class_Orderings_Olinorder'( X ) ],
% 0.89/1.28 [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', Y )
% 0.89/1.28 , 'c_PropLog_Othms'( Z, Y ), 'tc_PropLog_Opl'( Y ) ) ), 'c_in'(
% 0.89/1.28 'c_PropLog_Opl_Oop_A_N_62'( X, T, Y ), 'c_PropLog_Othms'( Z, Y ),
% 0.89/1.28 'tc_PropLog_Opl'( Y ) ) ],
% 0.89/1.28 [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ),
% 0.89/1.28 ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T, 'c_PropLog_Opl_Ofalse', Z ),
% 0.89/1.28 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'(
% 0.89/1.28 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ),
% 0.89/1.28 'c_PropLog_Opl_Ofalse', Z ), 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.89/1.28 Z ) ) ],
% 0.89/1.28 [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, X, Y ), 'c_PropLog_Othms'( Z, Y
% 0.89/1.28 ), 'tc_PropLog_Opl'( Y ) ) ],
% 0.89/1.28 [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ),
% 0.89/1.28 'c_in'( X, 'c_PropLog_Othms'( 'c_union'( Y, T, 'tc_PropLog_Opl'( Z ) ), Z
% 0.89/1.28 ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.89/1.28 [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ),
% 0.89/1.28 'c_in'( X, 'c_PropLog_Othms'( 'c_union'( T, Y, 'tc_PropLog_Opl'( Z ) ), Z
% 0.89/1.28 ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.89/1.28 [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ),
% 0.89/1.28 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T, X, Z ), 'c_PropLog_Othms'( Y, Z )
% 0.89/1.28 , 'tc_PropLog_Opl'( Z ) ) ],
% 0.89/1.28 [ ~( 'c_in'( 'v_a', 'v_tt', 't_a' ) ), 'c_in'( 'v_a', 'v_tt', 't_a' ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 0.89/1.28 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.89/1.28 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 0.89/1.28 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'( 't_a' )
% 0.89/1.28 ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), 'c_in'( 'v_a', 'v_tt', 't_a'
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'c_in'( 'v_a', 'v_tt', 't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Ovar'(
% 0.89/1.28 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Ovar'(
% 0.89/1.28 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ),
% 0.89/1.28 'tc_PropLog_Opl'( 't_a' ) ) ) ],
% 0.89/1.28 [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 0.89/1.28 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.89/1.28 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 0.89/1.28 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'( 't_a' )
% 0.89/1.28 ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), ~( 'c_in'(
% 0.89/1.28 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.89/1.28 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.89/1.28 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ]
% 0.89/1.28 ] .
% 0.89/1.28
% 0.89/1.28
% 0.89/1.28 percentage equality = 0.078409, percentage horn = 0.979622
% 0.89/1.28 This is a problem with some equality
% 0.89/1.28
% 0.89/1.28
% 0.89/1.28
% 0.89/1.28 Options Used:
% 0.89/1.28
% 0.89/1.28 useres = 1
% 0.89/1.28 useparamod = 1
% 0.89/1.28 useeqrefl = 1
% 0.89/1.28 useeqfact = 1
% 0.89/1.28 usefactor = 1
% 0.89/1.28 usesimpsplitting = 0
% 0.89/1.28 usesimpdemod = 5
% 0.89/1.28 usesimpres = 3
% 0.89/1.28
% 0.89/1.28 resimpinuse = 1000
% 0.89/1.28 resimpclauses = 20000
% 0.89/1.28 substype = eqrewr
% 0.89/1.28 backwardsubs = 1
% 0.89/1.28 selectoldest = 5
% 0.89/1.28
% 0.89/1.28 litorderings [0] = split
% 0.89/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.28
% 0.89/1.28 termordering = kbo
% 0.89/1.28
% 0.89/1.28 litapriori = 0
% 0.89/1.28 termapriori = 1
% 0.89/1.28 litaposteriori = 0
% 0.89/1.28 termaposteriori = 0
% 0.89/1.28 demodaposteriori = 0
% 0.89/1.28 ordereqreflfact = 0
% 0.89/1.28
% 0.89/1.28 litselect = negord
% 0.89/1.28
% 0.89/1.28 maxweight = 15
% 0.89/1.28 maxdepth = 30000
% 0.89/1.28 maxlength = 115
% 0.89/1.28 maxnrvars = 195
% 0.89/1.28 excuselevel = 1
% 0.89/1.28 increasemaxweight = 1
% 0.89/1.28
% 0.89/1.28 maxselected = 10000000
% 0.89/1.28 maxnrclauses = 10000000
% 0.89/1.28
% 0.89/1.28 showgenerated = 0
% 0.89/1.28 showkept = 0
% 0.89/1.28 showselected = 0
% 0.89/1.28 showdeleted = 0
% 0.89/1.28 showresimp = 1
% 0.89/1.28 showstatus = 2000
% 0.89/1.28
% 0.89/1.28 prologoutput = 1
% 0.89/1.28 nrgoals = 5000000
% 0.89/1.28 totalproof = 1
% 0.89/1.28
% 0.89/1.28 Symbols occurring in the translation:
% 0.89/1.28
% 0.89/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.28 . [1, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.89/1.28 ! [4, 1] (w:0, o:90, a:1, s:1, b:0),
% 0.89/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.28 'c_PropLog_Opl_Ofalse' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.89/1.28 'c_PropLog_Opl_Ovar' [42, 2] (w:1, o:199, a:1, s:1, b:0),
% 0.89/1.28 'c_PropLog_Opl_Oop_A_N_62' [45, 3] (w:1, o:238, a:1, s:1, b:0),
% 0.89/1.28 'tc_PropLog_Opl' [51, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.89/1.28 'c_in' [52, 3] (w:1, o:239, a:1, s:1, b:0),
% 0.89/1.28 'c_PropLog_Othms' [53, 2] (w:1, o:200, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype_Oo2s' [56, 2] (w:1, o:201, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype_Ooption_OSome' [57, 2] (w:1, o:202, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype_Ooption_ONone' [58, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_Onot__None__eq__iff1__1' [59, 2] (w:1, o:213, a:1, s:1, b:0)
% 0.89/1.28 ,
% 0.89/1.28 'c_Main_Onot__Some__eq__iff1__1' [60, 2] (w:1, o:214, a:1, s:1, b:0)
% 0.89/1.28 ,
% 0.89/1.28 'c_Datatype__Universe_OAtom' [62, 3] (w:1, o:240, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype__Universe_OScons' [66, 4] (w:1, o:272, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype__Universe_OIn0' [67, 3] (w:1, o:241, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype__Universe_OIn1' [68, 3] (w:1, o:242, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype__Universe_OLeaf' [69, 3] (w:1, o:243, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype__Universe_ONumb' [71, 3] (w:1, o:244, a:1, s:1, b:0),
% 0.89/1.28 'c_0' [74, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.89/1.28 'tc_nat' [76, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.89/1.28 'c_Divides_Oop_Advd' [77, 3] (w:1, o:245, a:1, s:1, b:0),
% 0.89/1.28 'c_emptyset' [78, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.89/1.28 'c_Equiv__Relations_Oquotient' [81, 3] (w:1, o:247, a:1, s:1, b:0),
% 0.89/1.28 'c_Extraction_Osumbool_OLeft' [82, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.89/1.28 'c_Extraction_Osumbool_ORight' [83, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.89/1.28 'c_insert' [85, 3] (w:1, o:248, a:1, s:1, b:0),
% 0.89/1.28 'tc_set' [86, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.89/1.28 'c_minus' [87, 3] (w:1, o:251, a:1, s:1, b:0),
% 0.89/1.28 'c_Finite__Set_OFinites' [88, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.89/1.28 'c_Pow' [89, 2] (w:1, o:215, a:1, s:1, b:0),
% 0.89/1.28 'c_union' [92, 3] (w:1, o:253, a:1, s:1, b:0),
% 0.89/1.28 'c_Relation_Oconverse' [93, 3] (w:1, o:254, a:1, s:1, b:0),
% 0.89/1.28 'tc_prod' [94, 2] (w:1, o:216, a:1, s:1, b:0),
% 0.89/1.28 'c_Pair' [96, 4] (w:1, o:273, a:1, s:1, b:0),
% 0.89/1.28 'c_GCD_Ogcd' [97, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.89/1.28 'c_UNIV' [98, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.89/1.28 'c_IntDef_Oint' [99, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.89/1.28 'tc_IntDef_Oint' [102, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.89/1.28 'c_uminus' [103, 2] (w:1, o:217, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Olist_ONil' [105, 0] (w:1, o:56, a:1, s:1, b:0),
% 0.89/1.28 'tc_List_Olist' [106, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Olex' [107, 2] (w:1, o:203, a:1, s:1, b:0),
% 0.89/1.28 'c_append' [109, 3] (w:1, o:255, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Orev' [110, 2] (w:1, o:204, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Olist_OCons' [111, 3] (w:1, o:256, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Olists' [113, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Ochar_OChar' [117, 2] (w:1, o:207, a:1, s:1, b:0),
% 0.89/1.28 'c_Nat_Osize' [120, 2] (w:1, o:221, a:1, s:1, b:0),
% 0.89/1.28 'c_less' [121, 3] (w:1, o:249, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Oremdups' [122, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Oset' [125, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.89/1.28 'c_Suc' [126, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.89/1.28 'c_lessequals' [127, 3] (w:1, o:250, a:1, s:1, b:0),
% 0.89/1.28 'c_plus' [128, 3] (w:1, o:257, a:1, s:1, b:0),
% 0.89/1.28 'c_1' [130, 0] (w:1, o:63, a:1, s:1, b:0),
% 0.89/1.28 'c_Numeral_Obit_OB0' [132, 0] (w:1, o:64, a:1, s:1, b:0),
% 0.89/1.28 'c_Numeral_Obit_OB1' [133, 0] (w:1, o:65, a:1, s:1, b:0),
% 0.89/1.28 'class_Orderings_Oorder' [134, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.89/1.28 'c_Relation_OId' [136, 0] (w:1, o:67, a:1, s:1, b:0),
% 0.89/1.28 'c_Relation_OImage' [137, 4] (w:1, o:274, a:1, s:1, b:0),
% 0.89/1.28 'class_Orderings_Olinorder' [138, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.89/1.28 'c_SetInterval_OatLeast' [139, 2] (w:1, o:224, a:1, s:1, b:0),
% 0.89/1.28 'class_Orderings_Oord' [140, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.89/1.28 'c_SetInterval_OatMost' [141, 2] (w:1, o:225, a:1, s:1, b:0),
% 0.89/1.28 'c_SetInterval_OgreaterThan' [142, 2] (w:1, o:226, a:1, s:1, b:0),
% 0.89/1.28 'c_SetInterval_OlessThan' [143, 2] (w:1, o:227, a:1, s:1, b:0),
% 0.89/1.28 'c_inter' [145, 3] (w:1, o:258, a:1, s:1, b:0),
% 0.89/1.28 'c_Inter' [148, 2] (w:1, o:228, a:1, s:1, b:0),
% 0.89/1.28 'c_Union' [149, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.89/1.28 'c_Sum__Type_OInl' [150, 3] (w:1, o:261, a:1, s:1, b:0),
% 0.89/1.28 'c_Sum__Type_OInr' [151, 3] (w:1, o:262, a:1, s:1, b:0),
% 0.89/1.28 'c_Wellfounded__Recursion_Oacyclic' [152, 2] (w:1, o:232, a:1, s:1
% 0.89/1.28 , b:0),
% 0.89/1.28 'c_Transitive__Closure_Ortrancl' [153, 2] (w:1, o:229, a:1, s:1, b:0)
% 0.89/1.28 ,
% 0.89/1.28 'c_Wellfounded__Recursion_Owf' [154, 2] (w:1, o:233, a:1, s:1, b:0),
% 0.89/1.28
% 0.89/1.28 'c_Wellfounded__Relations_Oless__than' [155, 0] (w:1, o:71, a:1, s:1
% 0.89/1.28 , b:0),
% 0.89/1.28 'c_Datatype__Universe_Odprod' [157, 4] (w:1, o:275, a:1, s:1, b:0),
% 0.89/1.28 'tc_Datatype__Universe_Onode' [158, 2] (w:1, o:234, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OdprodE__1' [159, 5] (w:1, o:293, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OdprodE__2' [160, 5] (w:1, o:294, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OdprodE__3' [161, 5] (w:1, o:295, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OdprodE__4' [162, 5] (w:1, o:296, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype__Universe_Odsum' [163, 4] (w:1, o:276, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OdsumE__1' [164, 4] (w:1, o:279, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OdsumE__2' [165, 4] (w:1, o:280, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OdsumE__3' [166, 4] (w:1, o:281, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OdsumE__4' [167, 4] (w:1, o:282, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype__Universe_Ouprod' [168, 4] (w:1, o:283, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OuprodE__1' [169, 5] (w:1, o:297, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OuprodE__2' [170, 5] (w:1, o:298, a:1, s:1, b:0),
% 0.89/1.28 'c_Datatype__Universe_Ousum' [172, 4] (w:1, o:284, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OusumE__1' [173, 4] (w:1, o:285, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OusumE__2' [174, 4] (w:1, o:286, a:1, s:1, b:0),
% 0.89/1.28 'c_times' [175, 3] (w:1, o:252, a:1, s:1, b:0),
% 0.89/1.28 'c_Divides_Oop_Amod' [177, 3] (w:1, o:246, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_Omod__eq__0D__dest__1' [178, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.89/1.28
% 0.89/1.28 'c_Main_Ofinite__Union__1' [179, 2] (w:1, o:218, a:1, s:1, b:0),
% 0.89/1.28 'c_Infinite__Set_Oatmost__one' [181, 2] (w:1, o:235, a:1, s:1, b:0),
% 0.89/1.28
% 0.89/1.28 'c_Main_Ozmod__eq__0D__dest__1' [182, 2] (w:1, o:219, a:1, s:1, b:0)
% 0.89/1.28 ,
% 0.89/1.28 'c_List_Odistinct' [183, 2] (w:1, o:210, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_Oin__listsI__1' [185, 3] (w:1, o:263, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Olistrel' [186, 2] (w:1, o:205, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_Olistrel__Cons1__1' [187, 5] (w:1, o:299, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_Olistrel__Cons1__2' [188, 5] (w:1, o:300, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_Olistrel__Cons2__1' [189, 5] (w:1, o:301, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_Olistrel__Cons2__2' [190, 5] (w:1, o:302, a:1, s:1, b:0),
% 0.89/1.28 'c_List_Olenlex' [192, 2] (w:1, o:211, a:1, s:1, b:0),
% 0.89/1.28 'c_Relation_ODomain' [193, 3] (w:1, o:259, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_ODomainE__1' [194, 4] (w:1, o:287, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OIdE__1' [195, 2] (w:1, o:220, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OImageE__1' [196, 5] (w:1, o:303, a:1, s:1, b:0),
% 0.89/1.28 'c_Relation_ORange' [197, 3] (w:1, o:260, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_ORangeE__1' [198, 4] (w:1, o:288, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OconverseE__1' [200, 4] (w:1, o:277, a:1, s:1, b:0),
% 0.89/1.28 'c_Main_OconverseE__2' [201, 4] (w:1, o:278, a:1, s:1, b:0),
% 0.89/1.28 'c_Relation_Odiag' [202, 2] (w:1, o:222, a:1, s:1, b:0),
% 0.93/1.42 'c_Main_OdiagE__1' [203, 3] (w:1, o:264, a:1, s:1, b:0),
% 0.93/1.42 'c_Relation_Orel__comp' [206, 5] (w:1, o:304, a:1, s:1, b:0),
% 0.93/1.42 'c_Main_Orel__compE__2' [207, 6] (w:1, o:306, a:1, s:1, b:0),
% 0.93/1.42 'c_Main_Orel__compE__3' [208, 6] (w:1, o:307, a:1, s:1, b:0),
% 0.93/1.42 'c_Main_Orel__compE__1' [209, 6] (w:1, o:305, a:1, s:1, b:0),
% 0.93/1.42 'c_SetInterval_OatLeastAtMost' [210, 3] (w:1, o:265, a:1, s:1, b:0),
% 0.93/1.42
% 0.93/1.42 'c_SetInterval_OatLeastLessThan' [211, 3] (w:1, o:266, a:1, s:1, b:0)
% 0.93/1.42 ,
% 0.93/1.42 'c_SetInterval_OgreaterThanAtMost' [212, 3] (w:1, o:267, a:1, s:1, b:
% 0.93/1.42 0),
% 0.93/1.42 'c_SetInterval_OgreaterThanLessThan' [213, 3] (w:1, o:268, a:1, s:1
% 0.93/1.42 , b:0),
% 0.93/1.42 'c_Main_OInterI__1' [214, 3] (w:1, o:269, a:1, s:1, b:0),
% 0.93/1.42 'c_Main_OUnionE__1' [215, 3] (w:1, o:270, a:1, s:1, b:0),
% 0.93/1.42 'c_Main_OsubsetI__1' [216, 3] (w:1, o:271, a:1, s:1, b:0),
% 0.93/1.42 'c_Sum__Type_OPlus' [217, 4] (w:1, o:289, a:1, s:1, b:0),
% 0.93/1.42 'tc_sum' [218, 2] (w:1, o:236, a:1, s:1, b:0),
% 0.93/1.42 'c_Main_OPlusE__1' [219, 4] (w:1, o:290, a:1, s:1, b:0),
% 0.93/1.42 'c_Main_OPlusE__2' [220, 4] (w:1, o:291, a:1, s:1, b:0),
% 0.93/1.42 'c_Transitive__Closure_Otrancl' [221, 2] (w:1, o:230, a:1, s:1, b:0)
% 0.93/1.42 ,
% 0.93/1.42 'c_Relation_Otrans' [222, 2] (w:1, o:223, a:1, s:1, b:0),
% 0.93/1.42 'c_Wellfounded__Relations_Olex__prod' [225, 4] (w:1, o:292, a:1, s:1
% 0.93/1.42 , b:0),
% 0.93/1.42 'tc_Datatype_Ooption' [229, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.93/1.42 'class_Finite__Set_Ofinite' [230, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.93/1.42 'class_HOL_Ominus' [231, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.93/1.42 'class_HOL_Oone' [232, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.93/1.42 'class_Ring__and__Field_Osemiring' [233, 1] (w:1, o:113, a:1, s:1, b:
% 0.93/1.42 0),
% 0.93/1.42 'class_Ring__and__Field_Ocomm__semiring' [234, 1] (w:1, o:116, a:1
% 0.93/1.42 , s:1, b:0),
% 0.93/1.42 'class_OrderedGroup_Ocomm__monoid__add' [235, 1] (w:1, o:117, a:1, s:
% 0.93/1.42 1, b:0),
% 0.93/1.42 'class_Ring__and__Field_Osemiring__0' [236, 1] (w:1, o:118, a:1, s:1
% 0.93/1.42 , b:0),
% 0.93/1.42 'class_Ring__and__Field_Ocomm__semiring__0' [237, 1] (w:1, o:119, a:1
% 0.93/1.42 , s:1, b:0),
% 0.93/1.42 'class_OrderedGroup_Ocancel__semigroup__add' [238, 1] (w:1, o:120, a:
% 0.93/1.42 1, s:1, b:0),
% 0.93/1.42 'class_OrderedGroup_Ocancel__ab__semigroup__add' [239, 1] (w:1, o:121
% 0.93/1.42 , a:1, s:1, b:0),
% 0.93/1.42 'class_OrderedGroup_Oab__group__add' [240, 1] (w:1, o:122, a:1, s:1
% 0.93/1.42 , b:0),
% 0.93/1.42 'class_Ring__and__Field_Osemiring__0__cancel' [241, 1] (w:1, o:123
% 0.93/1.42 , a:1, s:1, b:0),
% 0.93/1.42 'class_Ring__and__Field_Oring' [242, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.93/1.42
% 0.93/1.42 'class_HOL_Oplus' [243, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.93/1.42 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [244, 1] (w:1, o:
% 0.93/1.42 125, a:1, s:1, b:0),
% 0.93/1.42 'class_Ring__and__Field_Ocomm__ring' [245, 1] (w:1, o:114, a:1, s:1
% 0.93/1.42 , b:0),
% 0.93/1.42 'class_Ring__and__Field_Oaxclass__0__neq__1' [246, 1] (w:1, o:126, a:
% 0.93/1.42 1, s:1, b:0),
% 0.93/1.42 'class_OrderedGroup_Omonoid__mult' [247, 1] (w:1, o:131, a:1, s:1, b:
% 0.93/1.42 0),
% 0.93/1.42 'class_OrderedGroup_Ocomm__monoid__mult' [248, 1] (w:1, o:132, a:1
% 0.93/1.42 , s:1, b:0),
% 0.93/1.42 'class_Ring__and__Field_Osemiring__1' [249, 1] (w:1, o:133, a:1, s:1
% 0.93/1.42 , b:0),
% 0.93/1.42 'class_Ring__and__Field_Ocomm__semiring__1' [250, 1] (w:1, o:134, a:1
% 0.93/1.42 , s:1, b:0),
% 0.93/1.42 'class_Ring__and__Field_Osemiring__1__cancel' [251, 1] (w:1, o:135
% 0.93/1.42 , a:1, s:1, b:0),
% 0.93/1.42 'class_Ring__and__Field_Oring__1' [252, 1] (w:1, o:112, a:1, s:1, b:0
% 0.93/1.42 ),
% 0.93/1.42 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [253, 1] (w:1, o:
% 0.93/1.42 136, a:1, s:1, b:0),
% 0.93/1.42 'class_HOL_Otimes' [254, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.93/1.42 'class_Ring__and__Field_Ocomm__ring__1' [255, 1] (w:1, o:115, a:1, s:
% 0.93/1.42 1, b:0),
% 0.93/1.42 'class_LOrder_Omeet__semilorder' [256, 1] (w:1, o:139, a:1, s:1, b:0)
% 0.93/1.42 ,
% 0.93/1.42 'class_LOrder_Ojoin__semilorder' [257, 1] (w:1, o:140, a:1, s:1, b:0)
% 0.93/1.42 ,
% 0.93/1.42 'class_LOrder_Olorder' [258, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.93/1.42 'class_OrderedGroup_Opordered__ab__semigroup__add' [259, 1] (w:1, o:
% 0.93/1.42 142, a:1, s:1, b:0),
% 0.93/1.42 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [260, 1]
% 0.93/1.42 (w:1, o:143, a:1, s:1, b:0),
% 0.93/1.42 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [261, 1]
% 3.70/4.05 (w:1, o:144, a:1, s:1, b:0),
% 3.70/4.05 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [262, 1]
% 3.70/4.05 (w:1, o:141, a:1, s:1, b:0),
% 3.70/4.05 'class_HOL_Ozero' [263, 1] (w:1, o:145, a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Opordered__semiring' [264, 1] (w:1, o:153, a:
% 3.70/4.05 1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Opordered__cancel__semiring' [265, 1] (w:1
% 3.70/4.05 , o:154, a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Oordered__semiring__strict' [266, 1] (w:1, o:
% 3.70/4.05 147, a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Opordered__comm__semiring' [267, 1] (w:1, o:
% 3.70/4.05 156, a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [268, 1]
% 3.70/4.05 (w:1, o:157, a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Oordered__comm__semiring__strict' [269, 1]
% 3.70/4.05 (w:1, o:148, a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Oaxclass__abs__if' [270, 1] (w:1, o:158, a:1
% 3.70/4.05 , s:1, b:0),
% 3.70/4.05 'class_OrderedGroup_Opordered__ab__group__add' [271, 1] (w:1, o:159
% 3.70/4.05 , a:1, s:1, b:0),
% 3.70/4.05 'class_OrderedGroup_Olordered__ab__group' [272, 1] (w:1, o:127, a:1
% 3.70/4.05 , s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Opordered__ring' [273, 1] (w:1, o:152, a:1
% 3.70/4.05 , s:1, b:0),
% 3.70/4.05 'class_OrderedGroup_Olordered__ab__group__abs' [274, 1] (w:1, o:128
% 3.70/4.05 , a:1, s:1, b:0),
% 3.70/4.05 'class_OrderedGroup_Olordered__ab__group__meet' [275, 1] (w:1, o:129
% 3.70/4.05 , a:1, s:1, b:0),
% 3.70/4.05 'class_OrderedGroup_Olordered__ab__group__join' [276, 1] (w:1, o:130
% 3.70/4.05 , a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Olordered__ring' [277, 1] (w:1, o:160, a:1
% 3.70/4.05 , s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [278, 1] (w:1
% 3.70/4.05 , o:161, a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Oordered__ring__strict' [279, 1] (w:1, o:146
% 3.70/4.05 , a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Oordered__semidom' [280, 1] (w:1, o:149, a:1
% 3.70/4.05 , s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Oidom' [281, 1] (w:1, o:162, a:1, s:1, b:0),
% 3.70/4.05
% 3.70/4.05 'class_Ring__and__Field_Oordered__idom' [282, 1] (w:1, o:150, a:1, s:
% 3.70/4.05 1, b:0),
% 3.70/4.05 'class_Numeral_Onumber' [283, 1] (w:1, o:101, a:1, s:1, b:0),
% 3.70/4.05 'class_OrderedGroup_Osemigroup__add' [284, 1] (w:1, o:163, a:1, s:1
% 3.70/4.05 , b:0),
% 3.70/4.05 'class_Numeral_Onumber__ring' [285, 1] (w:1, o:102, a:1, s:1, b:0),
% 3.70/4.05 'class_Divides_Odiv' [286, 1] (w:1, o:164, a:1, s:1, b:0),
% 3.70/4.05 'class_Nat_Opower' [287, 1] (w:1, o:103, a:1, s:1, b:0),
% 3.70/4.05 'class_Power_Orecpower' [288, 1] (w:1, o:168, a:1, s:1, b:0),
% 3.70/4.05 'class_Parity_Oeven__odd' [289, 1] (w:1, o:169, a:1, s:1, b:0),
% 3.70/4.05 'class_OrderedGroup_Oab__semigroup__add' [290, 1] (w:1, o:165, a:1
% 3.70/4.05 , s:1, b:0),
% 3.70/4.05 'class_OrderedGroup_Osemigroup__mult' [291, 1] (w:1, o:166, a:1, s:1
% 3.70/4.05 , b:0),
% 3.70/4.05 'class_OrderedGroup_Oab__semigroup__mult' [292, 1] (w:1, o:167, a:1
% 3.70/4.05 , s:1, b:0),
% 3.70/4.05 'tc_Product__Type_Ounit' [293, 0] (w:1, o:83, a:1, s:1, b:0),
% 3.70/4.05 'tc_bool' [294, 0] (w:1, o:84, a:1, s:1, b:0),
% 3.70/4.05 'tc_fun' [296, 2] (w:1, o:237, a:1, s:1, b:0),
% 3.70/4.05 'class_Wellfounded__Recursion_Owellorder' [297, 1] (w:1, o:170, a:1
% 3.70/4.05 , s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Odivision__by__zero' [299, 1] (w:1, o:171, a:
% 3.70/4.05 1, s:1, b:0),
% 3.70/4.05 'class_HOL_Oinverse' [300, 1] (w:1, o:172, a:1, s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Ofield' [301, 1] (w:1, o:173, a:1, s:1, b:0)
% 3.70/4.05 ,
% 3.70/4.05 'class_Ring__and__Field_Oordered__field' [302, 1] (w:1, o:151, a:1
% 3.70/4.05 , s:1, b:0),
% 3.70/4.05 'class_Ring__and__Field_Opordered__comm__ring' [303, 1] (w:1, o:155
% 3.70/4.05 , a:1, s:1, b:0),
% 3.70/4.05 'v_a' [305, 0] (w:1, o:87, a:1, s:1, b:0),
% 3.70/4.05 'v_tt' [306, 0] (w:1, o:88, a:1, s:1, b:0),
% 3.70/4.05 't_a' [307, 0] (w:1, o:89, a:1, s:1, b:0).
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Starting Search:
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 3303
% 3.70/4.05 Kept: 2049
% 3.70/4.05 Inuse: 71
% 3.70/4.05 Deleted: 0
% 3.70/4.05 Deletedinuse: 0
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 8530
% 3.70/4.05 Kept: 4060
% 3.70/4.05 Inuse: 154
% 3.70/4.05 Deleted: 1
% 3.70/4.05 Deletedinuse: 0
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 14134
% 3.70/4.05 Kept: 6080
% 3.70/4.05 Inuse: 242
% 3.70/4.05 Deleted: 4
% 3.70/4.05 Deletedinuse: 0
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 20776
% 3.70/4.05 Kept: 8399
% 3.70/4.05 Inuse: 301
% 3.70/4.05 Deleted: 5
% 3.70/4.05 Deletedinuse: 0
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 26008
% 3.70/4.05 Kept: 10459
% 3.70/4.05 Inuse: 346
% 3.70/4.05 Deleted: 5
% 3.70/4.05 Deletedinuse: 0
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 33300
% 3.70/4.05 Kept: 12701
% 3.70/4.05 Inuse: 386
% 3.70/4.05 Deleted: 5
% 3.70/4.05 Deletedinuse: 0
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 39266
% 3.70/4.05 Kept: 14823
% 3.70/4.05 Inuse: 446
% 3.70/4.05 Deleted: 5
% 3.70/4.05 Deletedinuse: 0
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 43973
% 3.70/4.05 Kept: 17242
% 3.70/4.05 Inuse: 480
% 3.70/4.05 Deleted: 6
% 3.70/4.05 Deletedinuse: 0
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 50122
% 3.70/4.05 Kept: 19396
% 3.70/4.05 Inuse: 530
% 3.70/4.05 Deleted: 7
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying clauses:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 56378
% 3.70/4.05 Kept: 21889
% 3.70/4.05 Inuse: 565
% 3.70/4.05 Deleted: 148
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 62283
% 3.70/4.05 Kept: 23956
% 3.70/4.05 Inuse: 615
% 3.70/4.05 Deleted: 148
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 68019
% 3.70/4.05 Kept: 26014
% 3.70/4.05 Inuse: 670
% 3.70/4.05 Deleted: 148
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 72560
% 3.70/4.05 Kept: 28381
% 3.70/4.05 Inuse: 730
% 3.70/4.05 Deleted: 148
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 78755
% 3.70/4.05 Kept: 31245
% 3.70/4.05 Inuse: 765
% 3.70/4.05 Deleted: 148
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 85405
% 3.70/4.05 Kept: 33288
% 3.70/4.05 Inuse: 795
% 3.70/4.05 Deleted: 148
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 90936
% 3.70/4.05 Kept: 35413
% 3.70/4.05 Inuse: 840
% 3.70/4.05 Deleted: 148
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 99637
% 3.70/4.05 Kept: 37862
% 3.70/4.05 Inuse: 860
% 3.70/4.05 Deleted: 148
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 Intermediate Status:
% 3.70/4.05 Generated: 111573
% 3.70/4.05 Kept: 40627
% 3.70/4.05 Inuse: 880
% 3.70/4.05 Deleted: 148
% 3.70/4.05 Deletedinuse: 1
% 3.70/4.05
% 3.70/4.05 Resimplifying inuse:
% 3.70/4.05 Done
% 3.70/4.05
% 3.70/4.05 Resimplifying clauses:
% 3.70/4.05
% 3.70/4.05 Bliksems!, er is een bewijs:
% 3.70/4.05 % SZS status Unsatisfiable
% 3.70/4.05 % SZS output start Refutation
% 3.70/4.05
% 3.70/4.05 clause( 6, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 3.70/4.05 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.05 .
% 3.70/4.05 clause( 158, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 3.70/4.05 .
% 3.70/4.05 clause( 1342, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'(
% 3.70/4.05 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'(
% 3.70/4.05 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 3.70/4.05 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 3.70/4.05 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), ~( 'c_in'(
% 3.70/4.05 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 3.70/4.05 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 3.70/4.05 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 3.70/4.05 .
% 3.70/4.05 clause( 28750, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 3.70/4.05 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.05 .
% 3.70/4.05 clause( 40627, [] )
% 3.70/4.05 .
% 3.70/4.05
% 3.70/4.05
% 3.70/4.05 % SZS output end Refutation
% 3.70/4.05 found a proof!
% 3.70/4.05
% 3.70/4.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.70/4.05
% 3.70/4.05 initialclauses(
% 3.70/4.05 [ clause( 40629, [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Ovar'( X, Y
% 3.70/4.05 ) ) ) ] )
% 3.70/4.05 , clause( 40630, [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ),
% 3.70/4.05 'c_PropLog_Opl_Ofalse' ) ) ] )
% 3.70/4.05 , clause( 40631, [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.05 X, Y, Z ) ) ) ] )
% 3.70/4.05 , clause( 40632, [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ),
% 3.70/4.05 'c_PropLog_Opl_Ofalse' ) ) ] )
% 3.70/4.05 , clause( 40633, [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ),
% 3.70/4.05 'c_PropLog_Opl_Oop_A_N_62'( Z, T, Y ) ) ) ] )
% 3.70/4.05 , clause( 40634, [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ),
% 3.70/4.05 'c_PropLog_Opl_Ovar'( T, Z ) ) ) ] )
% 3.70/4.05 , clause( 40635, [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Ovar'(
% 3.70/4.05 Z, Y ) ) ), =( X, Z ) ] )
% 3.70/4.05 , clause( 40636, [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ),
% 3.70/4.05 'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40637, [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ),
% 3.70/4.05 'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( Y, U ) ] )
% 3.70/4.05 , clause( 40638, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 3.70/4.05 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.05 , clause( 40639, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 3.70/4.05 'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 3.70/4.05 , clause( 40640, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'(
% 3.70/4.05 X, Y ), Y ), Y ) ] )
% 3.70/4.05 , clause( 40641, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 3.70/4.05 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__iff1__1'( X, Y ), Y )
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40642, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 3.70/4.05 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__iff1__1'( X, Y ), Y )
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40643, [ ~( =( 'c_Datatype_Ooption_ONone',
% 3.70/4.05 'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 3.70/4.05 , clause( 40644, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 3.70/4.05 'c_Datatype_Ooption_ONone' ) ) ] )
% 3.70/4.05 , clause( 40645, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 3.70/4.05 'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 3.70/4.05 , clause( 40646, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40647, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 3.70/4.05 , clause( 40648, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40649, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 3.70/4.05 , clause( 40650, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40651, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 3.70/4.05 , clause( 40652, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 3.70/4.05 , clause( 40653, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 3.70/4.05 , clause( 40654, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 3.70/4.05 , clause( 40655, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 3.70/4.05 , clause( 40656, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 3.70/4.05 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 3.70/4.05 , clause( 40657, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 3.70/4.05 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 3.70/4.05 , clause( 40658, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 3.70/4.05 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 3.70/4.05 , clause( 40659, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 3.70/4.05 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 3.70/4.05 , clause( 40660, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 3.70/4.05 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 3.70/4.05 , clause( 40661, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X,
% 3.70/4.05 'c_0' ) ] )
% 3.70/4.05 , clause( 40662, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40663, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 3.70/4.05 , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 3.70/4.05 , clause( 40664, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'(
% 3.70/4.05 'c_emptyset', X, Y ) ) ] )
% 3.70/4.05 , clause( 40665, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ),
% 3.70/4.05 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 3.70/4.05 , clause( 40666, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 3.70/4.05 , 'c_emptyset' ) ] )
% 3.70/4.05 , clause( 40667, [ ~( =( 'c_Extraction_Osumbool_OLeft',
% 3.70/4.05 'c_Extraction_Osumbool_ORight' ) ) ] )
% 3.70/4.05 , clause( 40668, [ ~( =( 'c_Extraction_Osumbool_ORight',
% 3.70/4.05 'c_Extraction_Osumbool_OLeft' ) ) ] )
% 3.70/4.05 , clause( 40669, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'(
% 3.70/4.05 T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 3.70/4.05 , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 3.70/4.05 , clause( 40670, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X,
% 3.70/4.05 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites',
% 3.70/4.05 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40671, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites',
% 3.70/4.05 'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites',
% 3.70/4.05 'tc_set'( Y ) ) ] )
% 3.70/4.05 , clause( 40672, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.70/4.05 ), 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'(
% 3.70/4.05 Y ) ) ) ] )
% 3.70/4.05 , clause( 40673, [ ~( 'c_in'( 'c_union'( X, Y, Z ),
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( X,
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40674, [ ~( 'c_in'( 'c_union'( X, Y, Z ),
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y,
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40675, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.70/4.05 ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 3.70/4.05 'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 3.70/4.05 , clause( 40676, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X,
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 3.70/4.05 , clause( 40677, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 3.70/4.05 'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 3.70/4.05 , clause( 40678, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 3.70/4.05 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40679, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 3.70/4.05 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z,
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40680, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~(
% 3.70/4.05 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X,
% 3.70/4.05 'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40681, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'(
% 3.70/4.05 'tc_nat' ) ) ) ] )
% 3.70/4.05 , clause( 40682, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ),
% 3.70/4.05 =( X, Y ) ] )
% 3.70/4.05 , clause( 40683, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y,
% 3.70/4.05 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40684, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 3.70/4.05 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40685, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) )
% 3.70/4.05 , =( X, 'c_0' ) ] )
% 3.70/4.05 , clause( 40686, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40687, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 3.70/4.05 ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40688, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 3.70/4.05 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40689, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 3.70/4.05 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 3.70/4.05 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 3.70/4.05 , clause( 40690, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ),
% 3.70/4.05 =( X, 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40691, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ),
% 3.70/4.05 =( Y, 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40692, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil'
% 3.70/4.05 , 'c_List_Olist_ONil', X ) ) ] )
% 3.70/4.05 , clause( 40693, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ),
% 3.70/4.05 =( X, 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40694, [ =( 'c_List_Olist_ONil', 'c_List_Orev'(
% 3.70/4.05 'c_List_Olist_ONil', X ) ) ] )
% 3.70/4.05 , clause( 40695, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 3.70/4.05 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 3.70/4.05 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 3.70/4.05 , clause( 40696, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 3.70/4.05 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 3.70/4.05 'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40697, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 3.70/4.05 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 3.70/4.05 'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 3.70/4.05 , clause( 40698, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 3.70/4.05 ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 3.70/4.05 'tc_List_Olist'( Z ) ) ] )
% 3.70/4.05 , clause( 40699, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z
% 3.70/4.05 ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 3.70/4.05 'tc_List_Olist'( Z ) ) ] )
% 3.70/4.05 , clause( 40700, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 3.70/4.05 Z ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) )
% 3.70/4.05 , 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 3.70/4.05 Z ) ) ] )
% 3.70/4.05 , clause( 40701, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 3.70/4.05 =( X, 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40702, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 3.70/4.05 =( Y, 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40703, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil'
% 3.70/4.05 , X ), 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40704, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ),
% 3.70/4.05 =( X, T ) ] )
% 3.70/4.05 , clause( 40705, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X,
% 3.70/4.05 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40706, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 3.70/4.05 , clause( 40707, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y,
% 3.70/4.05 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40708, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 3.70/4.05 , clause( 40709, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 3.70/4.05 Z, T ) ) ), =( X, Z ) ] )
% 3.70/4.05 , clause( 40710, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 3.70/4.05 Z, T ) ) ), =( Y, T ) ] )
% 3.70/4.05 , clause( 40711, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' )
% 3.70/4.05 ), =( X, 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40712, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'(
% 3.70/4.05 X ) ), 'c_0' ) ] )
% 3.70/4.05 , clause( 40713, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 3.70/4.05 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40714, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 3.70/4.05 ), 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40715, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 3.70/4.05 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =(
% 3.70/4.05 'c_List_Oremdups'( X, Y ), X ) ] )
% 3.70/4.05 , clause( 40716, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 3.70/4.05 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 3.70/4.05 'tc_List_Olist'( Y ) ) ) ] )
% 3.70/4.05 , clause( 40717, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 3.70/4.05 ) ) ) ] )
% 3.70/4.05 , clause( 40718, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 3.70/4.05 'c_List_Olist_ONil' ) ) ] )
% 3.70/4.05 , clause( 40719, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 3.70/4.05 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40720, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 3.70/4.05 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 3.70/4.05 , clause( 40721, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 3.70/4.05 , Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'(
% 3.70/4.05 Z, 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 3.70/4.05 , clause( 40722, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 3.70/4.05 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 3.70/4.05 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 3.70/4.05 , clause( 40723, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ),
% 3.70/4.05 =( X, 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40724, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ),
% 3.70/4.05 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40725, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ),
% 3.70/4.05 =( X, Z ) ] )
% 3.70/4.05 , clause( 40726, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ),
% 3.70/4.05 =( Y, T ) ] )
% 3.70/4.05 , clause( 40727, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y,
% 3.70/4.05 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40728, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 3.70/4.05 , clause( 40729, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y,
% 3.70/4.05 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40730, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 3.70/4.05 , clause( 40731, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 3.70/4.05 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40732, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40733, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 3.70/4.05 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40734, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40735, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 3.70/4.05 , clause( 40736, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 3.70/4.05 ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40737, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 3.70/4.05 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40738, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 3.70/4.05 'c_less'( X, Y, 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40739, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X )
% 3.70/4.05 , 'c_Suc'( Y ), 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40740, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 3.70/4.05 , clause( 40741, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 3.70/4.05 , clause( 40742, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 3.70/4.05 ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40743, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 3.70/4.05 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40744, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 3.70/4.05 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40745, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40746, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40747, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 3.70/4.05 , clause( 40748, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 40749, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40750, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 3.70/4.05 'c_0' ) ] )
% 3.70/4.05 , clause( 40751, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40752, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 3.70/4.05 , clause( 40753, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40754, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 3.70/4.05 , clause( 40755, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40756, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 40757, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 40758, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40759, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40760, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40761, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 3.70/4.05 ) ) ] )
% 3.70/4.05 , clause( 40762, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 3.70/4.05 , =( X, U ) ] )
% 3.70/4.05 , clause( 40763, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 3.70/4.05 , =( Y, W ) ] )
% 3.70/4.05 , clause( 40764, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId',
% 3.70/4.05 'tc_prod'( Y, Y ) ) ] )
% 3.70/4.05 , clause( 40765, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z,
% 3.70/4.05 'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y,
% 3.70/4.05 'tc_prod'( T, U ) ) ] )
% 3.70/4.05 , clause( 40766, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.70/4.05 ) ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z )
% 3.70/4.05 , Z, T ), T ) ] )
% 3.70/4.05 , clause( 40767, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ),
% 3.70/4.05 'c_Relation_Oconverse'( U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'(
% 3.70/4.05 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ] )
% 3.70/4.05 , clause( 40768, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.70/4.05 ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ),
% 3.70/4.05 'tc_prod'( T, Z ) ) ] )
% 3.70/4.05 , clause( 40769, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 3.70/4.05 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 3.70/4.05 , clause( 40770, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 3.70/4.05 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ),
% 3.70/4.05 =( Y, Z ) ] )
% 3.70/4.05 , clause( 40771, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 3.70/4.05 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 3.70/4.05 , clause( 40772, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y,
% 3.70/4.05 Z, X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 3.70/4.05 , clause( 40773, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 3.70/4.05 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 3.70/4.05 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 3.70/4.05 , clause( 40774, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 3.70/4.05 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 3.70/4.05 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 3.70/4.05 , clause( 40775, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 3.70/4.05 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =(
% 3.70/4.05 Y, Z ) ] )
% 3.70/4.05 , clause( 40776, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 3.70/4.05 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 3.70/4.05 , clause( 40777, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y,
% 3.70/4.05 Z, X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 3.70/4.05 , clause( 40778, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 3.70/4.05 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 3.70/4.05 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 3.70/4.05 , clause( 40779, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 3.70/4.05 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ),
% 3.70/4.05 'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 3.70/4.05 , clause( 40780, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 3.70/4.05 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 3.70/4.05 ) ) ), =( Y, Z ) ] )
% 3.70/4.05 , clause( 40781, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 3.70/4.05 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 3.70/4.05 , clause( 40782, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 3.70/4.05 ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 3.70/4.05 , clause( 40783, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 3.70/4.05 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 3.70/4.05 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 3.70/4.05 , clause( 40784, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 3.70/4.05 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 3.70/4.05 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 3.70/4.05 , clause( 40785, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 3.70/4.05 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 3.70/4.05 , =( Y, Z ) ] )
% 3.70/4.05 , clause( 40786, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 3.70/4.05 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 3.70/4.05 , clause( 40787, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 3.70/4.05 ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 3.70/4.05 , clause( 40788, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 3.70/4.05 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 3.70/4.05 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 3.70/4.05 , clause( 40789, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 3.70/4.05 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 3.70/4.05 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 3.70/4.05 , clause( 40790, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 3.70/4.05 'tc_set'( Z ) ), Z ) ) ] )
% 3.70/4.05 , clause( 40791, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 3.70/4.05 ) ), Z ) ] )
% 3.70/4.05 , clause( 40792, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 3.70/4.05 'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 3.70/4.05 , clause( 40793, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ),
% 3.70/4.05 'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X,
% 3.70/4.05 'tc_set'( Y ) ) ] )
% 3.70/4.05 , clause( 40794, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 3.70/4.05 'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'(
% 3.70/4.05 Z ) ), 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40795, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y,
% 3.70/4.05 'tc_set'( Z ) ), Z ) ) ] )
% 3.70/4.05 , clause( 40796, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ),
% 3.70/4.05 'c_in'( X, Y, T ) ] )
% 3.70/4.05 , clause( 40797, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 3.70/4.05 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 3.70/4.05 , clause( 40798, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 3.70/4.05 , T ) ] )
% 3.70/4.05 , clause( 40799, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y
% 3.70/4.05 , T ) ] )
% 3.70/4.05 , clause( 40800, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'(
% 3.70/4.05 X, 'c_inter'( T, Y, Z ), Z ) ] )
% 3.70/4.05 , clause( 40801, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 3.70/4.05 'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 3.70/4.05 , clause( 40802, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 3.70/4.05 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40803, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 3.70/4.05 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40804, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 3.70/4.05 , clause( 40805, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z )
% 3.70/4.05 , Z ) ] )
% 3.70/4.05 , clause( 40806, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z )
% 3.70/4.05 , Z ) ] )
% 3.70/4.05 , clause( 40807, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 3.70/4.05 , T ), 'c_in'( X, Y, T ) ] )
% 3.70/4.05 , clause( 40808, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X,
% 3.70/4.05 'c_emptyset' ) ] )
% 3.70/4.05 , clause( 40809, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y,
% 3.70/4.05 'c_emptyset' ) ] )
% 3.70/4.05 , clause( 40810, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ),
% 3.70/4.05 'c_emptyset' ) ] )
% 3.70/4.05 , clause( 40811, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 3.70/4.05 ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 3.70/4.05 , clause( 40812, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 3.70/4.05 , clause( 40813, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 3.70/4.05 , Z ) ] )
% 3.70/4.05 , clause( 40814, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 3.70/4.05 , clause( 40815, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 3.70/4.05 , T ), =( X, Y ) ] )
% 3.70/4.05 , clause( 40816, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 3.70/4.05 , clause( 40817, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 3.70/4.05 , Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40818, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 3.70/4.05 , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'(
% 3.70/4.05 Z ) ) ] )
% 3.70/4.05 , clause( 40819, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 3.70/4.05 'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 3.70/4.05 , Z ) ) ] )
% 3.70/4.05 , clause( 40820, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 3.70/4.05 , Y ) ) ), =( Z, X ) ] )
% 3.70/4.05 , clause( 40821, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 3.70/4.05 , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'(
% 3.70/4.05 Y ) ) ] )
% 3.70/4.05 , clause( 40822, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 3.70/4.05 'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 3.70/4.05 , Z ) ) ] )
% 3.70/4.05 , clause( 40823, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 3.70/4.05 T, Y, Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40824, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 3.70/4.05 T, Z, Y ) ) ) ] )
% 3.70/4.05 , clause( 40825, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 3.70/4.05 T, Y, Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40826, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 3.70/4.05 T, Z, Y ) ) ) ] )
% 3.70/4.05 , clause( 40827, [ ~( 'c_Wellfounded__Recursion_Oacyclic'(
% 3.70/4.05 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 3.70/4.05 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 3.70/4.05 , clause( 40828, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 3.70/4.05 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40829, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 3.70/4.05 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 3.70/4.05 'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 3.70/4.05 , clause( 40830, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 3.70/4.05 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'(
% 3.70/4.05 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 3.70/4.05 'tc_prod'( Z, Z ) ) ) ] )
% 3.70/4.05 , clause( 40831, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 3.70/4.05 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 3.70/4.05 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 3.70/4.05 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 3.70/4.05 , clause( 40832, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 3.70/4.05 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 3.70/4.05 'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 3.70/4.05 , clause( 40833, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 3.70/4.05 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 3.70/4.05 , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40834, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 3.70/4.05 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 3.70/4.05 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 3.70/4.05 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 3.70/4.05 , clause( 40835, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 3.70/4.05 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 3.70/4.05 ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40836, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y
% 3.70/4.05 , 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'(
% 3.70/4.05 'tc_nat', 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40837, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40838, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 3.70/4.05 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 3.70/4.05 , clause( 40839, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 3.70/4.05 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 3.70/4.05 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 3.70/4.05 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 3.70/4.05 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 3.70/4.05 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.70/4.05 , clause( 40840, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 3.70/4.05 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 3.70/4.05 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 3.70/4.05 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.70/4.05 , clause( 40841, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U
% 3.70/4.05 ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 3.70/4.05 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 3.70/4.05 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.70/4.05 , clause( 40842, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 3.70/4.05 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 3.70/4.05 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 3.70/4.05 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 3.70/4.05 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.70/4.05 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 3.70/4.05 , clause( 40843, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 3.70/4.05 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 3.70/4.05 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 3.70/4.05 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 3.70/4.05 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 3.70/4.05 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.70/4.05 , clause( 40844, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 3.70/4.05 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 3.70/4.05 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 3.70/4.05 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 3.70/4.05 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.70/4.05 , clause( 40845, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 3.70/4.05 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 3.70/4.05 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 3.70/4.05 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 3.70/4.05 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.70/4.05 , clause( 40846, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 3.70/4.05 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 3.70/4.05 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 3.70/4.05 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 3.70/4.05 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 3.70/4.05 , clause( 40847, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 3.70/4.05 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 3.70/4.05 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 3.70/4.05 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.70/4.05 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 3.70/4.05 , clause( 40848, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 3.70/4.05 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 3.70/4.05 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 3.70/4.05 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 3.70/4.05 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 3.70/4.05 , clause( 40849, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 3.70/4.05 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 3.70/4.05 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 3.70/4.05 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 3.70/4.05 , clause( 40850, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 3.70/4.05 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 3.70/4.05 'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 3.70/4.05 , clause( 40851, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U
% 3.70/4.05 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 3.70/4.05 'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 3.70/4.05 , clause( 40852, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 3.70/4.05 Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 3.70/4.05 , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 3.70/4.05 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 3.70/4.05 , clause( 40853, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 3.70/4.05 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 3.70/4.05 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 3.70/4.05 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 3.70/4.05 ) ) ] )
% 3.70/4.05 , clause( 40854, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 3.70/4.05 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 3.70/4.05 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 3.70/4.05 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40855, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 3.70/4.05 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 3.70/4.05 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 3.70/4.05 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40856, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 3.70/4.05 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 3.70/4.05 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 3.70/4.05 , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 3.70/4.05 , clause( 40857, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 3.70/4.05 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 3.70/4.05 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 3.70/4.05 , clause( 40858, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 3.70/4.05 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 3.70/4.05 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 3.70/4.05 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 3.70/4.05 , clause( 40859, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40860, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40861, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ),
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40862, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ),
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40863, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) )
% 3.70/4.05 , =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' )
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40864, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'(
% 3.70/4.05 X ) ) ] )
% 3.70/4.05 , clause( 40865, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.70/4.05 ), 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y
% 3.70/4.05 ) ) ] )
% 3.70/4.05 , clause( 40866, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.70/4.05 ), 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40867, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 3.70/4.05 ), 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40868, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 3.70/4.05 'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X,
% 3.70/4.05 'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites',
% 3.70/4.05 'tc_set'( Y ) ) ] )
% 3.70/4.05 , clause( 40869, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 3.70/4.05 'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ),
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ),
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 3.70/4.05 , clause( 40870, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 3.70/4.05 'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40871, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 3.70/4.05 'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40872, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'(
% 3.70/4.05 Z, X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 3.70/4.05 , clause( 40873, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ),
% 3.70/4.05 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40874, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 3.70/4.05 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40875, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40876, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40877, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y,
% 3.70/4.05 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40878, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X,
% 3.70/4.05 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40879, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ),
% 3.70/4.05 'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ),
% 3.70/4.05 'tc_IntDef_Oint' ) ) ] )
% 3.70/4.05 , clause( 40880, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 3.70/4.05 , clause( 40881, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites'
% 3.70/4.05 , 'tc_set'( Y ) ) ] )
% 3.70/4.05 , clause( 40882, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 3.70/4.05 Z ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40883, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 3.70/4.05 ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40884, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) )
% 3.70/4.05 , 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 3.70/4.05 , clause( 40885, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 3.70/4.05 , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40886, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 3.70/4.05 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 3.70/4.05 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 3.70/4.05 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 3.70/4.05 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 3.70/4.05 , clause( 40887, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 3.70/4.05 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 3.70/4.05 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 3.70/4.05 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 3.70/4.05 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 3.70/4.05 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 3.70/4.05 , clause( 40888, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 3.70/4.05 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z )
% 3.70/4.05 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 3.70/4.05 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 3.70/4.05 'tc_prod'( Z, Z ) ) ] )
% 3.70/4.05 , clause( 40889, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 3.70/4.05 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 3.70/4.05 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 3.70/4.05 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 3.70/4.05 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 3.70/4.05 , clause( 40890, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 3.70/4.05 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 3.70/4.05 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 3.70/4.05 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 3.70/4.05 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 3.70/4.05 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 3.70/4.05 , clause( 40891, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 3.70/4.05 , 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T )
% 3.70/4.05 , 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 3.70/4.05 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 3.70/4.05 'tc_prod'( T, T ) ) ] )
% 3.70/4.05 , clause( 40892, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 3.70/4.05 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 3.70/4.05 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 3.70/4.05 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40893, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 3.70/4.05 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 3.70/4.05 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 3.70/4.05 'c_List_Olist_ONil' ) ] )
% 3.70/4.05 , clause( 40894, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 3.70/4.05 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y,
% 3.70/4.05 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 3.70/4.05 , clause( 40895, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 3.70/4.05 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 3.70/4.05 , clause( 40896, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 3.70/4.05 , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 3.70/4.05 , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 3.70/4.05 , clause( 40897, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ),
% 3.70/4.05 'tc_List_Olist'( Y ) ) ] )
% 3.70/4.05 , clause( 40898, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 3.70/4.05 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 3.70/4.05 Y ) ) ] )
% 3.70/4.05 , clause( 40899, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 3.70/4.05 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 3.70/4.05 ) ) ] )
% 3.70/4.05 , clause( 40900, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40901, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40902, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40903, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40904, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 3.70/4.05 , X ) ] )
% 3.70/4.05 , clause( 40905, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ),
% 3.70/4.05 'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y,
% 3.70/4.05 'tc_prod'( Z, T ) ) ] )
% 3.70/4.05 , clause( 40906, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.70/4.05 ) ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 3.70/4.05 , clause( 40907, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ),
% 3.70/4.05 =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 3.70/4.05 ) ) ] )
% 3.70/4.05 , clause( 40908, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 3.70/4.05 'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 3.70/4.05 , clause( 40909, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 3.70/4.05 'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y,
% 3.70/4.05 'tc_prod'( T, U ) ) ] )
% 3.70/4.05 , clause( 40910, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U
% 3.70/4.05 ), W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U
% 3.70/4.05 ), U ) ] )
% 3.70/4.05 , clause( 40911, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ),
% 3.70/4.05 'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y,
% 3.70/4.05 'tc_prod'( Z, T ) ) ] )
% 3.70/4.05 , clause( 40912, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.70/4.05 ) ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 3.70/4.05 , clause( 40913, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 3.70/4.05 'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 3.70/4.05 , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40914, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 3.70/4.05 'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 3.70/4.05 ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 3.70/4.05 , clause( 40915, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z,
% 3.70/4.05 Z ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ),
% 3.70/4.05 'c_Main_OdiagE__1'( Y, X, Z ), Z, Z ) ) ] )
% 3.70/4.05 , clause( 40916, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z,
% 3.70/4.05 Z ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 3.70/4.05 , clause( 40917, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 3.70/4.05 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 3.70/4.05 , clause( 40918, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 3.70/4.05 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 3.70/4.05 , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y,
% 3.70/4.05 'tc_prod'( T, U ) ) ] )
% 3.70/4.05 , clause( 40919, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 3.70/4.05 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 3.70/4.05 , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z,
% 3.70/4.05 'tc_prod'( W, T ) ) ] )
% 3.70/4.05 , clause( 40920, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 3.70/4.05 'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X,
% 3.70/4.05 T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 3.70/4.05 , clause( 40921, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T )
% 3.70/4.05 ) ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ),
% 3.70/4.05 'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 3.70/4.05 ), 'tc_prod'( V0, T ) ) ] )
% 3.70/4.05 , clause( 40922, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 3.70/4.05 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40923, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 3.70/4.05 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 3.70/4.05 ) ) ] )
% 3.70/4.05 , clause( 40924, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 3.70/4.05 ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40925, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 3.70/4.05 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 3.70/4.05 ) ) ] )
% 3.70/4.05 , clause( 40926, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40927, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 3.70/4.05 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40928, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 3.70/4.05 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 3.70/4.05 ) ) ] )
% 3.70/4.05 , clause( 40929, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 3.70/4.05 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40930, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 3.70/4.05 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 3.70/4.05 ) ) ] )
% 3.70/4.05 , clause( 40931, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 3.70/4.05 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 3.70/4.05 , clause( 40932, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'(
% 3.70/4.05 'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40933, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ),
% 3.70/4.05 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 3.70/4.05 , clause( 40934, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 3.70/4.05 , clause( 40935, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 3.70/4.05 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40936, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 3.70/4.05 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 3.70/4.05 , clause( 40937, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 3.70/4.05 , clause( 40938, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 3.70/4.05 Y, X, 'tc_set'( Z ) ) ) ] )
% 3.70/4.05 , clause( 40939, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X
% 3.70/4.05 , Y, 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40940, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X
% 3.70/4.05 , Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 3.70/4.05 , clause( 40941, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ),
% 3.70/4.05 =( X, Y ) ] )
% 3.70/4.05 , clause( 40942, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 3.70/4.05 , clause( 40943, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z,
% 3.70/4.05 'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 3.70/4.05 , clause( 40944, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T,
% 3.70/4.05 'tc_set'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 3.70/4.05 , clause( 40945, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 3.70/4.05 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40946, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 3.70/4.05 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 3.70/4.05 , clause( 40947, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 3.70/4.05 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 3.70/4.05 , clause( 40948, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 3.70/4.05 , clause( 40949, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 3.70/4.05 , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 3.70/4.05 , clause( 40950, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 3.70/4.05 , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 3.70/4.05 , clause( 40951, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 3.70/4.05 'tc_sum'( T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X
% 3.70/4.05 , T, U ), T, U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U
% 3.70/4.05 , T ), U, T ) ) ] )
% 3.70/4.05 , clause( 40952, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 3.70/4.05 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ),
% 3.70/4.05 =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 3.70/4.05 , clause( 40953, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 3.70/4.05 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ),
% 3.70/4.05 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 3.70/4.05 , clause( 40954, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ),
% 3.70/4.05 'tc_sum'( T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ),
% 3.70/4.05 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 3.70/4.05 , clause( 40955, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 3.70/4.05 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 3.70/4.05 , clause( 40956, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 3.70/4.05 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 3.70/4.05 , clause( 40957, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 3.70/4.05 ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 3.70/4.05 , Z ), 'tc_prod'( Z, Z ) ) ] )
% 3.70/4.05 , clause( 40958, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 3.70/4.05 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 3.70/4.05 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 3.70/4.05 'tc_prod'( Z, Z ) ) ] )
% 3.70/4.05 , clause( 40959, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 3.70/4.05 , clause( 40960, [ 'c_Relation_Otrans'(
% 3.70/4.05 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40961, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'(
% 3.70/4.05 Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z,
% 3.70/4.05 X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 3.70/4.05 , clause( 40962, [ 'c_Wellfounded__Recursion_Owf'(
% 3.70/4.05 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 3.70/4.05 , clause( 40963, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 3.70/4.05 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 3.70/4.05 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 40964, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X )
% 3.70/4.05 ), ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 3.70/4.05 , clause( 40965, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40966, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40967, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40968, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40969, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40970, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint'
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40971, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40972, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40973, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40974, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 40975, [ 'class_Ring__and__Field_Osemiring__0__cancel'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40976, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40977, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40978, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40979, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 40980, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40981, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40982, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40983, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint'
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 40984, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40985, [ 'class_Ring__and__Field_Osemiring__1__cancel'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40986, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40987, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40988, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40989, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40990, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40991, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40992, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 40993, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40994, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40995, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40996, [
% 3.70/4.05 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40997, [
% 3.70/4.05 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40998, [
% 3.70/4.05 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 40999, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41000, [ 'class_Ring__and__Field_Opordered__semiring'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41001, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41002, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41003, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41004, [
% 3.70/4.05 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41005, [
% 3.70/4.05 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41006, [ 'class_Ring__and__Field_Oaxclass__abs__if'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41007, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41008, [ 'class_OrderedGroup_Olordered__ab__group'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41009, [ 'class_Ring__and__Field_Opordered__ring'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41010, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41011, [ 'class_OrderedGroup_Olordered__ab__group__abs'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41012, [ 'class_OrderedGroup_Olordered__ab__group__meet'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41013, [ 'class_OrderedGroup_Olordered__ab__group__join'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41014, [ 'class_Ring__and__Field_Olordered__ring'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41015, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41016, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41017, [ 'class_Ring__and__Field_Oordered__semidom'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41018, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41019, [ 'class_Ring__and__Field_Oordered__idom'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41020, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41021, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41022, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41023, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41024, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41025, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41026, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41027, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41028, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint'
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 41029, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 3.70/4.05 'tc_IntDef_Oint' ) ] )
% 3.70/4.05 , clause( 41030, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41031, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 3.70/4.05 , clause( 41032, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 3.70/4.05 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41033, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 3.70/4.05 , clause( 41034, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41035, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41036, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41037, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41038, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41039, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41040, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41041, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41042, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41043, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41044, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41045, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41046, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41047, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41048, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41049, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41050, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41051, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41052, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41053, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41054, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41055, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41056, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat'
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 41057, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41058, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat'
% 3.70/4.05 ) ] )
% 3.70/4.05 , clause( 41059, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41060, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41061, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41062, [
% 3.70/4.05 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41063, [
% 3.70/4.05 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41064, [
% 3.70/4.05 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41065, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41066, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41067, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41068, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41069, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 3.70/4.05 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41070, [
% 3.70/4.05 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41071, [
% 3.70/4.05 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41072, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41073, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41074, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41075, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41076, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41077, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41078, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41079, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41080, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 3.70/4.05 )
% 3.70/4.05 , clause( 41081, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 3.70/4.05 , clause( 41082, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 3.70/4.05 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41083, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 3.70/4.05 , clause( 41084, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 3.70/4.05 , clause( 41085, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 3.70/4.05 , clause( 41086, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 3.70/4.05 'class_Finite__Set_Ofinite'( X ) ) ] )
% 3.70/4.05 , clause( 41087, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 3.70/4.05 , clause( 41088, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 3.70/4.05 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 3.70/4.05 ] )
% 3.70/4.05 , clause( 41089, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 3.70/4.05 'class_Orderings_Oord'( X ) ] )
% 3.70/4.05 , clause( 41090, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 3.70/4.05 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.05 , clause( 41091, [ ~( 'class_LOrder_Olorder'( X ) ),
% 3.70/4.05 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.05 , clause( 41092, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'(
% 3.70/4.05 X ) ] )
% 3.70/4.05 , clause( 41093, [ ~( 'class_LOrder_Olorder'( X ) ),
% 3.70/4.05 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.05 , clause( 41094, [ ~( 'class_LOrder_Olorder'( X ) ),
% 3.70/4.05 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.05 , clause( 41095, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 3.70/4.05 'class_Orderings_Oord'( X ) ] )
% 3.70/4.05 , clause( 41096, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 3.70/4.05 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.05 , clause( 41097, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.05 'class_HOL_Oplus'( X ) ] )
% 3.70/4.05 , clause( 41098, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.05 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.05 , clause( 41099, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41100, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41101, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41102, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41103, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41104, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41105, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41106, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41107, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41108, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.70/4.06 , clause( 41109, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41110, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41111, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41112, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41113, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41114, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41115, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.70/4.06 , clause( 41116, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41117, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.70/4.06 , clause( 41118, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41119, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.70/4.06 , clause( 41120, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41121, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Numeral_Onumber'( X ) ] )
% 3.70/4.06 , clause( 41122, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41123, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41124, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41125, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41126, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41127, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41128, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41129, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41130, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41131, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41132, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41133, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41134, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41135, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41136, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41137, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41138, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41139, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41140, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41141, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41142, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.70/4.06 ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41143, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41144, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41145, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41146, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41147, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41148, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41149, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41150, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41151, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41152, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41153, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41154, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41155, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41156, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41157, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41158, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41159, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41160, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41161, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41162, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41163, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41164, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41165, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41166, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41167, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41168, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41169, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41170, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41171, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41172, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41173, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.70/4.06 , clause( 41174, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41175, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41176, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41177, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41178, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41179, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41180, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41181, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41182, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41183, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41184, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41185, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41186, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41187, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41188, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41189, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41190, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41191, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41192, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41193, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41194, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41195, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41196, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41197, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41198, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41199, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41200, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.70/4.06 , clause( 41201, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41202, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41203, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41204, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41205, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41206, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41207, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41208, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41209, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41210, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X )
% 3.70/4.06 ), 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41211, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41212, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41213, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41214, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41215, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41216, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41217, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41218, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41219, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.70/4.06 , clause( 41220, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41221, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41222, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41223, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41224, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41225, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41226, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41227, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41228, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41229, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X )
% 3.70/4.06 ), 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41230, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41231, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41232, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41233, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41234, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41235, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41236, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41237, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41238, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41239, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41240, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41241, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41242, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41243, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41244, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41245, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41246, [ ~(
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_Orderings_Olinorder'( X ) ] )
% 3.70/4.06 , clause( 41247, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41248, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41249, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41250, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41251, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41252, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41253, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41254, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41255, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41256, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41257, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41258, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41259, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41260, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41261, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.70/4.06 ) ), 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41262, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.70/4.06 ) ), 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41263, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.70/4.06 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41264, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.70/4.06 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41265, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.70/4.06 ) ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41266, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41267, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41268, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41269, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41270, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41271, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41272, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41273, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41274, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41275, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41276, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41277, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41278, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41279, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41280, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41281, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41282, [ ~(
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41283, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41284, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41285, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.70/4.06 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41286, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.70/4.06 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41287, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.70/4.06 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41288, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41289, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41290, [ ~( 'class_Orderings_Oorder'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41291, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 3.70/4.06 ) ] )
% 3.70/4.06 , clause( 41292, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X
% 3.70/4.06 ) ] )
% 3.70/4.06 , clause( 41293, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41294, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41295, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41296, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41297, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41298, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41299, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41300, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41301, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.70/4.06 , clause( 41302, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41303, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 3.70/4.06 ] )
% 3.70/4.06 , clause( 41304, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41305, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41306, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41307, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41308, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41309, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41310, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X
% 3.70/4.06 ) ] )
% 3.70/4.06 , clause( 41311, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41312, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41313, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 3.70/4.06 ) ] )
% 3.70/4.06 , clause( 41314, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41315, [ ~( 'class_Power_Orecpower'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41316, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41317, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41318, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41319, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41320, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41321, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 3.70/4.06 X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41322, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 3.70/4.06 X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41323, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41324, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41325, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41326, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41327, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41328, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41329, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41330, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41331, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41332, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41333, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41334, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41335, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41336, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41337, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41338, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41339, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41340, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41341, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41342, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.70/4.06 , clause( 41343, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41344, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41345, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41346, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41347, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41348, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41349, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41350, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41351, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41352, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41353, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41354, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41355, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.70/4.06 , clause( 41356, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41357, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41358, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41359, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41360, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41361, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.70/4.06 , clause( 41362, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41363, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41364, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41365, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41366, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41367, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41368, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41369, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41370, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41371, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41372, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41373, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41374, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41375, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41376, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41377, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41378, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41379, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41380, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41381, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41382, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41383, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41384, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41385, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41386, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41387, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41388, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41389, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41390, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41391, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41392, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41393, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41394, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41395, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41396, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41397, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41398, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41399, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41400, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41401, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41402, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41403, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41404, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41405, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41406, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41407, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41408, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41409, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41410, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41411, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41412, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41413, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41414, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41415, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41416, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41417, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41418, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41419, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41420, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41421, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.70/4.06 , clause( 41422, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41423, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41424, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41425, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41426, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41427, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41428, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41429, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41430, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41431, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41432, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41433, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41434, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41435, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41436, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41437, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41438, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41439, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41440, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41441, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41442, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41443, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41444, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41445, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.70/4.06 'class_HOL_Oinverse'( X ) ] )
% 3.70/4.06 , clause( 41446, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.70/4.06 , clause( 41447, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.70/4.06 , clause( 41448, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41449, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41450, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41451, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41452, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41453, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41454, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41455, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41456, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41457, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41458, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.70/4.06 , clause( 41459, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41460, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41461, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41462, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41463, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41464, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41465, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41466, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41467, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41468, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41469, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41470, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_HOL_Oinverse'( X ) ] )
% 3.70/4.06 , clause( 41471, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oidom'( X ) ] )
% 3.70/4.06 , clause( 41472, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.70/4.06 , clause( 41473, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41474, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41475, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41476, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.70/4.06 , clause( 41477, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41478, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41479, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.70/4.06 , clause( 41480, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.70/4.06 , clause( 41481, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41482, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41483, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41484, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41485, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41486, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41487, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41488, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41489, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41490, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41491, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.70/4.06 , clause( 41492, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41493, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41494, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41495, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41496, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41497, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41498, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41499, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41500, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41501, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41502, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41503, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.70/4.06 , clause( 41504, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41505, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41506, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41507, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.70/4.06 , clause( 41508, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41509, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41510, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 3.70/4.06 , clause( 41511, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41512, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41513, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41514, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41515, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41516, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41517, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41518, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41519, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41520, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41521, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41522, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41523, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41524, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41525, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41526, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41527, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 3.70/4.06 , clause( 41528, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.70/4.06 , clause( 41529, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41530, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41531, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41532, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 3.70/4.06 , clause( 41533, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41534, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 3.70/4.06 , clause( 41535, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41536, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41537, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41538, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.70/4.06 , clause( 41539, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41540, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41541, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41542, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41543, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41544, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41545, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41546, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Orderings_Olinorder'( X ) ] )
% 3.70/4.06 , clause( 41547, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41548, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41549, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41550, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41551, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41552, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41553, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41554, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41555, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41556, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41557, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41558, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.70/4.06 , clause( 41559, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.70/4.06 , clause( 41560, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41561, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41562, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41563, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41564, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41565, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41566, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41567, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41568, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41569, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41570, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41571, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ofield'( X ) ] )
% 3.70/4.06 , clause( 41572, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_HOL_Oinverse'( X ) ] )
% 3.70/4.06 , clause( 41573, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.70/4.06 , clause( 41574, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41575, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41576, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41577, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41578, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41579, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41580, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41581, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41582, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41583, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oidom'( X ) ] )
% 3.70/4.06 , clause( 41584, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41585, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41586, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41587, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41588, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41589, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41590, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41591, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41592, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41593, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41594, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.70/4.06 , clause( 41595, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41596, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.70/4.06 , clause( 41597, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41598, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41599, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 3.70/4.06 , clause( 41600, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 3.70/4.06 , clause( 41601, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41602, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41603, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 3.70/4.06 , clause( 41604, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.70/4.06 , clause( 41605, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.70/4.06 , clause( 41606, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41607, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Orderings_Olinorder'( X ) ] )
% 3.70/4.06 , clause( 41608, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 3.70/4.06 , clause( 41609, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 3.70/4.06 , clause( 41610, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 3.70/4.06 , clause( 41611, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.70/4.06 , clause( 41612, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41613, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 3.70/4.06 , clause( 41614, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 3.70/4.06 , clause( 41615, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 3.70/4.06 , clause( 41616, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.70/4.06 , clause( 41617, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.70/4.06 , clause( 41618, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41619, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41620, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41621, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41622, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41623, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41624, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41625, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41626, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41627, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41628, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 3.70/4.06 , clause( 41629, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41630, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41631, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41632, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 3.70/4.06 , clause( 41633, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.70/4.06 , clause( 41634, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41635, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41636, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41637, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41638, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41639, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41640, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41641, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41642, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41643, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41644, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring__1'( X ) ] )
% 3.70/4.06 , clause( 41645, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41646, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41647, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41648, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41649, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41650, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41651, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41652, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41653, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41654, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41655, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41656, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 3.70/4.06 , clause( 41657, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.70/4.06 , clause( 41658, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41659, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Orderings_Olinorder'( X ) ] )
% 3.70/4.06 , clause( 41660, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41661, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41662, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41663, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41664, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41665, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41666, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41667, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.70/4.06 , clause( 41668, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41669, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41670, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41671, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41672, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41673, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 3.70/4.06 , clause( 41674, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 3.70/4.06 , clause( 41675, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 3.70/4.06 , clause( 41676, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 3.70/4.06 , clause( 41677, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41678, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 3.70/4.06 , clause( 41679, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 3.70/4.06 , clause( 41680, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 3.70/4.06 , clause( 41681, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.70/4.06 , clause( 41682, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41683, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 3.70/4.06 , clause( 41684, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.70/4.06 , clause( 41685, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oidom'( X ) ] )
% 3.70/4.06 , clause( 41686, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41687, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.70/4.06 , clause( 41688, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41689, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41690, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41691, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41692, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41693, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41694, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41695, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41696, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41697, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.70/4.06 , clause( 41698, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41699, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Orderings_Olinorder'( X ) ] )
% 3.70/4.06 , clause( 41700, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41701, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41702, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41703, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41704, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41705, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41706, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.70/4.06 , clause( 41707, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41708, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41709, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41710, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41711, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 3.70/4.06 , clause( 41712, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 3.70/4.06 , clause( 41713, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41714, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41715, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 3.70/4.06 , clause( 41716, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 3.70/4.06 , clause( 41717, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 3.70/4.06 , clause( 41718, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 3.70/4.06 , clause( 41719, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 3.70/4.06 , clause( 41720, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 3.70/4.06 , clause( 41721, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41722, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41723, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41724, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41725, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41726, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.70/4.06 ), 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41727, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41728, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 3.70/4.06 , clause( 41729, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41730, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41731, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41732, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41733, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41734, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41735, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41736, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41737, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41738, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41739, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41740, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41741, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41742, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41743, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41744, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 3.70/4.06 , clause( 41745, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 3.70/4.06 , clause( 41746, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41747, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Orderings_Olinorder'( X ) ] )
% 3.70/4.06 , clause( 41748, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41749, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41750, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41751, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41752, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41753, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41754, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41755, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.70/4.06 , clause( 41756, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41757, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41758, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41759, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41760, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41761, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41762, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41763, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41764, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41765, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41766, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41767, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41768, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41769, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_Orderings_Olinorder'( X ) ] )
% 3.70/4.06 , clause( 41770, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41771, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41772, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41773, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 3.70/4.06 )
% 3.70/4.06 , clause( 41774, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 3.70/4.06 )
% 3.70/4.06 , clause( 41775, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41776, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41777, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41778, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41779, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41780, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41781, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41782, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.70/4.06 , clause( 41783, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41784, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41785, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41786, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41787, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41788, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41789, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41790, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ]
% 3.70/4.06 )
% 3.70/4.06 , clause( 41791, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41792, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41793, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41794, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41795, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41796, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41797, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41798, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41799, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41800, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41801, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41802, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.70/4.06 , clause( 41803, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41804, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41805, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41806, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41807, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41808, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41809, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41810, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41811, [ ~(
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41812, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41813, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41814, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41815, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41816, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41817, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41818, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41819, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41820, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41821, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41822, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41823, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41824, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41825, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41826, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41827, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.70/4.06 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41828, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 3.70/4.06 , clause( 41829, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41830, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41831, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41832, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41833, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41834, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41835, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41836, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41837, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41838, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41839, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41840, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41841, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41842, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41843, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41844, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41845, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41846, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41847, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41848, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41849, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41850, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41851, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41852, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41853, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 3.70/4.06 , clause( 41854, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 3.70/4.06 , clause( 41855, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41856, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41857, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41858, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41859, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41860, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41861, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41862, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41863, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41864, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41865, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41866, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41867, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41868, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 3.70/4.06 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41869, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41870, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41871, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41872, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41873, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41874, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41875, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41876, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 3.70/4.06 , clause( 41877, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41878, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41879, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41880, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41881, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41882, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 3.70/4.06 , clause( 41883, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41884, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 3.70/4.06 , clause( 41885, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41886, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41887, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41888, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41889, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41890, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41891, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41892, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41893, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41894, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41895, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41896, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41897, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41898, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41899, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41900, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41901, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41902, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41903, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41904, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41905, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41906, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41907, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41908, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41909, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41910, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41911, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41912, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41913, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41914, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41915, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41916, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41917, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41918, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oring'( X ) ] )
% 3.70/4.06 , clause( 41919, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 3.70/4.06 , clause( 41920, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41921, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41922, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41923, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41924, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41925, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41926, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41927, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41928, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41929, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 3.70/4.06 , clause( 41930, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_HOL_Ominus'( X ) ] )
% 3.70/4.06 , clause( 41931, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41932, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41933, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41934, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41935, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41936, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41937, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41938, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41939, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41940, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41941, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41942, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41943, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41944, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41945, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41946, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41947, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41948, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41949, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41950, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41951, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41952, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41953, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41954, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41955, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41956, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41957, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41958, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41959, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41960, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41961, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41962, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41963, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41964, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41965, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41966, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41967, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41968, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41969, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41970, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41971, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41972, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41973, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 3.70/4.06 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41974, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 3.70/4.06 , clause( 41975, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 3.70/4.06 , clause( 41976, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_HOL_Oone'( X ) ] )
% 3.70/4.06 , clause( 41977, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 3.70/4.06 , clause( 41978, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_HOL_Otimes'( X ) ] )
% 3.70/4.06 , clause( 41979, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41980, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41981, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 3.70/4.06 , clause( 41982, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 3.70/4.06 , clause( 41983, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 3.70/4.06 , clause( 41984, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 3.70/4.06 , clause( 41985, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_HOL_Ozero'( X ) ] )
% 3.70/4.06 , clause( 41986, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41987, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 3.70/4.06 , clause( 41988, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_HOL_Oplus'( X ) ] )
% 3.70/4.06 , clause( 41989, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) )
% 3.70/4.06 , 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 3.70/4.06 , clause( 41990, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 3.70/4.06 'class_Orderings_Oord'( X ) ] )
% 3.70/4.06 , clause( 41991, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 3.70/4.06 'class_Orderings_Oorder'( X ) ] )
% 3.70/4.06 , clause( 41992, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 3.70/4.06 'class_LOrder_Omeet__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41993, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 3.70/4.06 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 3.70/4.06 , clause( 41994, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 3.70/4.06 'class_LOrder_Olorder'( X ) ] )
% 3.70/4.06 , clause( 41995, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 3.70/4.06 'class_Orderings_Olinorder'( X ) ] )
% 3.70/4.06 , clause( 41996, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 3.70/4.06 'c_PropLog_Opl_Ofalse', Y ), 'c_PropLog_Othms'( Z, Y ), 'tc_PropLog_Opl'(
% 3.70/4.06 Y ) ) ), 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Y ), 'c_PropLog_Othms'(
% 3.70/4.06 Z, Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 3.70/4.06 , clause( 41997, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ),
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T,
% 3.70/4.06 'c_PropLog_Opl_Ofalse', Z ), 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 3.70/4.06 Z ) ) ), 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.06 X, T, Z ), 'c_PropLog_Opl_Ofalse', Z ), 'c_PropLog_Othms'( Y, Z ),
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , clause( 41998, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, X, Y ),
% 3.70/4.06 'c_PropLog_Othms'( Z, Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 3.70/4.06 , clause( 41999, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ),
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 'c_union'( Y, T
% 3.70/4.06 , 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , clause( 42000, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ),
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 'c_union'( T, Y
% 3.70/4.06 , 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , clause( 42001, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ),
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T, X, Z )
% 3.70/4.06 , 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , clause( 42002, [ ~( 'c_in'( 'v_a', 'v_tt', 't_a' ) ), 'c_in'( 'v_a',
% 3.70/4.06 'v_tt', 't_a' ) ] )
% 3.70/4.06 , clause( 42003, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ),
% 3.70/4.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ),
% 3.70/4.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ) ), 'c_in'( 'v_a', 'v_tt', 't_a' ) ] )
% 3.70/4.06 , clause( 42004, [ ~( 'c_in'( 'v_a', 'v_tt', 't_a' ) ), ~( 'c_in'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 3.70/4.06 , clause( 42005, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ),
% 3.70/4.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ),
% 3.70/4.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ) ) ] )
% 3.70/4.06 ] ).
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 subsumption(
% 3.70/4.06 clause( 6, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 3.70/4.06 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , clause( 40638, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 3.70/4.06 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.70/4.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 subsumption(
% 3.70/4.06 clause( 158, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 3.70/4.06 , clause( 40814, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 3.70/4.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.70/4.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 subsumption(
% 3.70/4.06 clause( 1342, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'(
% 3.70/4.06 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'(
% 3.70/4.06 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 3.70/4.06 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), ~( 'c_in'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 3.70/4.06 , clause( 42005, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ),
% 3.70/4.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ),
% 3.70/4.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ) ) ] )
% 3.70/4.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.70/4.06 ).
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 resolution(
% 3.70/4.06 clause( 42391, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , clause( 6, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 3.70/4.06 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , 0, clause( 158, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 3.70/4.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( X, Y,
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ),
% 3.70/4.06 :=( Y, Y ), :=( Z, 'tc_PropLog_Opl'( Z ) )] )).
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 subsumption(
% 3.70/4.06 clause( 28750, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , clause( 42391, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.70/4.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 resolution(
% 3.70/4.06 clause( 42392, [ ~( 'c_in'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ) ) ] )
% 3.70/4.06 , clause( 1342, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ),
% 3.70/4.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'(
% 3.70/4.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ),
% 3.70/4.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ) ) ] )
% 3.70/4.06 , 0, clause( 28750, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X,
% 3.70/4.06 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_PropLog_Opl_Ofalse', 't_a' ) ), :=( Y, 'c_emptyset' ), :=( Z, 't_a' )] )
% 3.70/4.06 ).
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 resolution(
% 3.70/4.06 clause( 42394, [] )
% 3.70/4.06 , clause( 42392, [ ~( 'c_in'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 3.70/4.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 3.70/4.06 't_a' ) ) ) ] )
% 3.70/4.06 , 0, clause( 28750, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 3.70/4.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 3.70/4.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_PropLog_Opl_Ovar'(
% 3.70/4.06 'v_a', 't_a' ) ), :=( Y, 'c_emptyset' ), :=( Z, 't_a' )] )).
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 subsumption(
% 3.70/4.06 clause( 40627, [] )
% 3.70/4.06 , clause( 42394, [] )
% 3.70/4.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 end.
% 3.70/4.06
% 3.70/4.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.70/4.06
% 3.70/4.06 Memory use:
% 3.70/4.06
% 3.70/4.06 space for terms: 1031358
% 3.70/4.06 space for clauses: 2117235
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 clauses generated: 111574
% 3.70/4.06 clauses kept: 40628
% 3.70/4.06 clauses selected: 880
% 3.70/4.06 clauses deleted: 173
% 3.70/4.06 clauses inuse deleted: 1
% 3.70/4.06
% 3.70/4.06 subsentry: 289408
% 3.70/4.06 literals s-matched: 198866
% 3.70/4.06 literals matched: 182145
% 3.70/4.06 full subsumption: 104820
% 3.70/4.06
% 3.70/4.06 checksum: 744205240
% 3.70/4.06
% 3.70/4.06
% 3.70/4.06 Bliksem ended
%------------------------------------------------------------------------------