TSTP Solution File: ANA032-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA032-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 : Thu Jul 14 18:38:33 EDT 2022
% Result : Timeout 300.03s 300.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ANA032-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Fri Jul 8 02:53:29 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.12/1.53 *** allocated 10000 integers for termspace/termends
% 1.12/1.53 *** allocated 10000 integers for clauses
% 1.12/1.53 *** allocated 10000 integers for justifications
% 1.12/1.53 *** allocated 15000 integers for termspace/termends
% 1.12/1.53 *** allocated 22500 integers for termspace/termends
% 1.12/1.53 *** allocated 33750 integers for termspace/termends
% 1.12/1.53 *** allocated 50625 integers for termspace/termends
% 1.12/1.53 Bliksem 1.12
% 1.12/1.53
% 1.12/1.53
% 1.12/1.53 Automatic Strategy Selection
% 1.12/1.53
% 1.12/1.53 Clauses:
% 1.12/1.53 [
% 1.12/1.53 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_in'( Y, Z, X ) ), 'c_in'( 'c_plus'(
% 1.12/1.53 T, Y, X ), 'c_SetsAndFunctions_Oelt__set__plus'( T, Z, X ), X ) ],
% 1.12/1.53 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 'c_in'( T, U,
% 1.12/1.53 X ) ), 'c_in'( 'c_plus'( T, Y, X ), 'c_plus'( U, Z, 'tc_set'( X ) ), X )
% 1.12/1.53 ],
% 1.12/1.53 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( X ) )
% 1.12/1.53 ), ~( 'c_lessequals'( T, U, 'tc_set'( X ) ) ), 'c_lessequals'( 'c_plus'(
% 1.12/1.53 T, Y, 'tc_set'( X ) ), 'c_plus'( U, Z, 'tc_set'( X ) ), 'tc_set'( X ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_in'( Y, Z, X ) ), 'c_lessequals'(
% 1.12/1.53 'c_SetsAndFunctions_Oelt__set__plus'( Y, T, X ), 'c_plus'( Z, T, 'tc_set'(
% 1.12/1.53 X ) ), 'tc_set'( X ) ) ],
% 1.12/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( 'c_in'( Y, Z, X
% 1.12/1.53 ) ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__plus'( Y, T, X ),
% 1.12/1.53 'c_plus'( T, Z, 'tc_set'( X ) ), 'tc_set'( X ) ) ],
% 1.12/1.53 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( X ) )
% 1.12/1.53 ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__plus'( T, Y, X ),
% 1.12/1.53 'c_SetsAndFunctions_Oelt__set__plus'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.12/1.53 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_in'( Y, Z, X ) ), 'c_in'(
% 1.12/1.53 'c_times'( T, Y, X ), 'c_SetsAndFunctions_Oelt__set__times'( T, Z, X ), X
% 1.12/1.53 ) ],
% 1.12/1.53 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 'c_in'( T, U
% 1.12/1.53 , X ) ), 'c_in'( 'c_times'( T, Y, X ), 'c_times'( U, Z, 'tc_set'( X ) ),
% 1.12/1.53 X ) ],
% 1.12/1.53 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( X ) )
% 1.12/1.53 ), ~( 'c_lessequals'( T, U, 'tc_set'( X ) ) ), 'c_lessequals'( 'c_times'(
% 1.12/1.53 T, Y, 'tc_set'( X ) ), 'c_times'( U, Z, 'tc_set'( X ) ), 'tc_set'( X ) )
% 1.12/1.53 ],
% 1.12/1.53 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_in'( Y, Z, X ) ), 'c_lessequals'(
% 1.12/1.53 'c_SetsAndFunctions_Oelt__set__times'( Y, T, X ), 'c_times'( Z, T,
% 1.12/1.53 'tc_set'( X ) ), 'tc_set'( X ) ) ],
% 1.12/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), ~( 'c_in'( Y, Z, X
% 1.12/1.53 ) ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__times'( Y, T, X ),
% 1.12/1.53 'c_times'( T, Z, 'tc_set'( X ) ), 'tc_set'( X ) ) ],
% 1.12/1.53 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( X ) )
% 1.12/1.53 ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__times'( T, Y, X ),
% 1.12/1.53 'c_SetsAndFunctions_Oelt__set__times'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Oab__group__add'( Y ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_fun'( X, Y ) ),
% 1.12/1.53 ~( 'class_OrderedGroup_Oab__group__add'( Y ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Oab__group__add'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Oab__group__add'( Y ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Osemigroup__mult'( Y ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__mult'( Y ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__mult'( Y ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__mult'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Osemiring'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_HOL_Oplus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oplus'( Y ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Oring'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_fun'( X, Y )
% 1.12/1.53 ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Oring__1'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_HOL_Otimes'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Otimes'( Y ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_fun'( X, Y )
% 1.12/1.53 ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.12/1.53 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ 'class_HOL_Ozero'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ozero'( Y ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ 'class_HOL_Oone'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oone'( Y ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Osemigroup__add'( Y ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_fun'( X, Y ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_set'( X ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Osemigroup__mult'( X ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_set'( X ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_set'( X ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_set'( X ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_set'( X ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_set'( X ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ) ],
% 1.12/1.53 [ 'class_HOL_Oplus'( 'tc_set'( X ) ), ~( 'class_HOL_Oplus'( X ) ) ],
% 1.12/1.53 [ 'class_HOL_Otimes'( 'tc_set'( X ) ), ~( 'class_HOL_Otimes'( X ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ 'class_HOL_Ozero'( 'tc_set'( X ) ), ~( 'class_HOL_Ozero'( X ) ) ],
% 1.12/1.53 [ 'class_HOL_Oone'( 'tc_set'( X ) ), ~( 'class_HOL_Oone'( X ) ) ],
% 1.12/1.53 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_set'( X ) ), ~(
% 1.12/1.53 'class_OrderedGroup_Osemigroup__add'( X ) ) ],
% 1.12/1.53 [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ],
% 1.12/1.53 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 'c_plus'(
% 1.12/1.53 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 'c_Suc'( Y ) )
% 1.12/1.53 , 'tc_nat' ) ) ],
% 1.12/1.53 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X ) ) ],
% 1.12/1.53 [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ],
% 1.12/1.53 [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ],
% 1.12/1.53 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 1.12/1.53 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.12/1.53 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.12/1.53 , Y ) ],
% 1.12/1.53 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.12/1.53 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ],
% 1.12/1.53 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.12/1.53 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ],
% 1.12/1.53 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ),
% 1.12/1.53 'c_insert'( X, 'c_emptyset', Y ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.12/1.53 'c_Datatype_Ooption_ONone' ) ],
% 1.12/1.53 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 'c_emptyset' )
% 1.12/1.53 ],
% 1.12/1.53 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.12/1.53 ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.12/1.53 ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 1.12/1.53 Z, Y ) ) ), =( X, Z ) ],
% 1.12/1.53 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 'tc_Datatype_Ooption'( X
% 1.12/1.53 ) ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.12/1.53 'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T ) ), 'c_0' )
% 1.12/1.53 ],
% 1.12/1.53 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( Y, Z ) ),
% 1.12/1.53 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( Z, Y ) ),
% 1.12/1.53 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), X ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( 'c_Datatype_Ounit_Ounit__case'( X, 'c_Product__Type_OUnity', Y ), X
% 1.12/1.53 ) ],
% 1.12/1.53 [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 'c_Product__Type_OUnity', Y ), X
% 1.12/1.53 ) ],
% 1.12/1.53 [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 'tc_Product__Type_Ounit' )
% 1.12/1.53 , 'c_0' ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.12/1.53 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X, Y, Z, T ),
% 1.12/1.53 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.53 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'(
% 1.12/1.53 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.12/1.53 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.12/1.53 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.12/1.53 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.12/1.53 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X, Y, Z, T ),
% 1.12/1.53 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.53 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'(
% 1.12/1.53 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.12/1.53 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.12/1.53 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.12/1.53 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.12/1.53 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.12/1.53 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.12/1.53 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.12/1.53 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.12/1.53 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.12/1.53 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.12/1.53 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 'c_emptyset' ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.12/1.53 'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ),
% 1.12/1.53 'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ],
% 1.12/1.53 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.12/1.53 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ),
% 1.12/1.53 'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.12/1.53 , Y, Z, T ), Z, T ) ) ],
% 1.12/1.53 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.12/1.53 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ),
% 1.12/1.53 'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.12/1.53 , Y, Z, T ), Z, T ) ) ],
% 1.12/1.53 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.12/1.53 'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ),
% 1.12/1.53 'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ],
% 1.12/1.53 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.12/1.53 'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ),
% 1.12/1.53 'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ],
% 1.12/1.53 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.12/1.53 'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ),
% 1.12/1.53 'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.12/1.53 ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ],
% 1.12/1.53 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.12/1.53 'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.12/1.53 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.12/1.53 'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.12/1.53 [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.12/1.53 [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ],
% 1.12/1.53 [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.12/1.53 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 'tc_nat' ), 'c_0' )
% 1.12/1.53 ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', Y, 'tc_nat' )
% 1.12/1.53 ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.12/1.53 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.12/1.53 'tc_nat' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.12/1.53 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.12/1.53 'tc_nat' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.12/1.53 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.12/1.53 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.12/1.53 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.12/1.53 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.12/1.53 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.12/1.53 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 'tc_nat' ),
% 1.12/1.53 'c_1' ) ],
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.12/1.53 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 1.12/1.53 'c_Suc'( 'c_0' ) ) ],
% 1.12/1.53 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), 'c_0' ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.12/1.53 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.12/1.53 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.12/1.53 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.12/1.53 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, Y,
% 1.12/1.53 'tc_nat' ), X ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_Divides_Oop_Amod'( Y
% 1.12/1.53 , X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.12/1.53 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 'tc_nat' ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.12/1.53 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.12/1.53 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.12/1.53 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.12/1.53 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y,
% 1.12/1.53 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.12/1.53 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 1.12/1.53 X, 'c_emptyset' ) ],
% 1.12/1.53 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.12/1.53 ) ],
% 1.12/1.53 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 1.12/1.53 X, 'c_emptyset' ) ],
% 1.12/1.53 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.12/1.53 ) ],
% 1.12/1.53 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.12/1.53 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.12/1.53 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.12/1.53 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.12/1.53 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.12/1.53 ) ],
% 1.12/1.53 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.12/1.53 ) ],
% 1.12/1.53 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.12/1.53 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.12/1.53 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.12/1.53 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.12/1.53 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft',
% 1.12/1.53 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight',
% 1.12/1.53 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.12/1.53 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( Y
% 1.12/1.53 , 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'(
% 1.12/1.53 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.12/1.53 'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z,
% 1.12/1.53 'c_Finite__Set_OMax'( Y, X ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.12/1.53 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.12/1.53 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ), =( Z,
% 1.12/1.53 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.12/1.53 'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'(
% 1.12/1.53 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.12/1.53 'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'(
% 1.12/1.53 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.12/1.53 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.12/1.53 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), =( Z,
% 1.12/1.53 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.12/1.53 'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'(
% 1.12/1.53 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.12/1.53 'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'(
% 1.12/1.53 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMax'(
% 1.12/1.53 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.12/1.53 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.12/1.53 T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T, Y, X ), =( Z,
% 1.12/1.53 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.12/1.53 'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z,
% 1.12/1.53 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z,
% 1.12/1.53 'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z,
% 1.12/1.53 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.12/1.53 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( T,
% 1.12/1.53 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), =( Z,
% 1.12/1.53 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.12/1.53 'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z,
% 1.12/1.53 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z,
% 1.12/1.53 'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z,
% 1.12/1.53 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'(
% 1.12/1.53 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.12/1.53 'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z,
% 1.12/1.53 'c_Finite__Set_OMin'( Y, X ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.12/1.53 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.12/1.53 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMin'(
% 1.12/1.53 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.12/1.53 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( =(
% 1.12/1.53 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.12/1.53 =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.12/1.53 [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =(
% 1.12/1.53 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ],
% 1.12/1.53 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( Z,
% 1.12/1.53 X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y ), 'c_Suc'(
% 1.12/1.53 'c_Finite__Set_Ocard'( X, Y ) ) ) ],
% 1.12/1.53 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.12/1.53 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.12/1.53 ) ],
% 1.12/1.53 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 1.12/1.53 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.12/1.53 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.12/1.53 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 1.12/1.53 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.12/1.53 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.12/1.53 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.12/1.53 ],
% 1.12/1.53 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.12/1.53 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.12/1.53 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.12/1.53 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.12/1.53 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.12/1.53 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 1.12/1.53 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 1.12/1.53 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.12/1.53 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.12/1.53 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.12/1.53 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.12/1.53 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.12/1.53 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.12/1.53 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.12/1.53 [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.12/1.53 Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.12/1.53 'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y,
% 1.12/1.53 'c_emptyset' ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.12/1.53 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.12/1.53 'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.12/1.53 ), Y ) ],
% 1.12/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.12/1.53 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.12/1.53 'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.12/1.53 ), Y ) ],
% 1.12/1.53 [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ],
% 1.12/1.53 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.12/1.53 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat', 'tc_nat' ) )
% 1.12/1.53 , 'c_1' ) ],
% 1.12/1.53 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat', 'tc_nat' ) )
% 1.12/1.53 , 'c_1' ) ],
% 1.12/1.53 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat',
% 1.12/1.53 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.12/1.53 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat',
% 1.12/1.53 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.12/1.53 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.12/1.53 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 1.12/1.53 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.12/1.53 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.12/1.53 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.12/1.53 'tc_nat' ) ), X ) ],
% 1.12/1.53 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), X ) ],
% 1.12/1.53 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.12/1.53 ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.12/1.53 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.12/1.53 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.12/1.53 ), 'c_1' ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.12/1.53 , X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.12/1.53 , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, X ), 'c_1', X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~(
% 1.12/1.53 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'(
% 1.12/1.53 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.12/1.53 , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1',
% 1.12/1.53 X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.53 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.12/1.53 , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 'c_1', X
% 1.12/1.53 ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obit_OB1' ), Y ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obit_OB1' ) ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.12/1.53 , X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.12/1.53 , X ), X ) ), =( 'c_1', 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ),
% 1.12/1.53 X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.53 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.53 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.12/1.53 ), 'c_1' ) ],
% 1.12/1.53 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.12/1.53 , 'tc_IntDef_Oint' ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.12/1.53 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.12/1.53 ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_IntDef_Onat'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ),
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ],
% 1.12/1.53 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_IntDef_Oof__int'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X ),
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ),
% 1.12/1.53 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Suc'( 'c_0'
% 1.12/1.53 ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.12/1.53 [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.12/1.53 , 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1',
% 1.12/1.53 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ],
% 1.12/1.53 [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1',
% 1.12/1.53 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( X, 'c_plus'(
% 1.12/1.53 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, 'c_minus'(
% 1.12/1.53 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.12/1.53 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.12/1.53 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y ),
% 1.12/1.53 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ],
% 1.12/1.53 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.12/1.53 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 'c_IntDef_OAbs__Integ'( X )
% 1.12/1.53 ), X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_0',
% 1.12/1.53 'c_IntDef_OInts', X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_1',
% 1.12/1.53 'c_IntDef_OInts', X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.12/1.53 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.12/1.53 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 'c_IntDef_OInts', X
% 1.12/1.53 ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.12/1.53 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.12/1.53 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.12/1.53 'c_0', 'c_IntDef_ONats', X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.12/1.53 'c_1', 'c_IntDef_ONats', X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.12/1.53 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.12/1.53 , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.12/1.53 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.12/1.53 , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.12/1.53 [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_IntDef_Oint'( X ) ) ],
% 1.12/1.53 [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X,
% 1.12/1.53 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat',
% 1.12/1.53 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.12/1.53 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.12/1.53 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.12/1.53 'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.12/1.53 , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.12/1.53 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.12/1.53 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.12/1.53 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =(
% 1.12/1.53 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset',
% 1.12/1.53 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.12/1.53 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.12/1.53 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.12/1.53 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.12/1.53 'tc_nat' ) ) ) ],
% 1.12/1.53 [ ~( =( 'c_0', 'c_1' ) ) ],
% 1.12/1.53 [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ],
% 1.12/1.53 [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 'c_IntDef_Oint'(
% 1.12/1.53 X ), 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.12/1.53 [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ],
% 1.12/1.53 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ),
% 1.12/1.53 =( X, 'c_0' ) ],
% 1.12/1.53 [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 'tc_IntDef_Oint' ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.12/1.53 'c_IntDef_Onat'( X ) ), X ) ],
% 1.12/1.53 [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'(
% 1.12/1.53 'c_IntDef_Onat'( X ) ), 'c_0' ) ],
% 1.12/1.53 [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 'c_Pair'(
% 1.12/1.53 X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.12/1.53 ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ),
% 1.12/1.53 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.12/1.53 [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z
% 1.12/1.53 , T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.12/1.53 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.12/1.53 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_plus'(
% 1.12/1.53 X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ],
% 1.12/1.53 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 'tc_nat' ) ) ),
% 1.12/1.53 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z, Y,
% 1.12/1.53 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.12/1.53 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.12/1.53 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.12/1.53 [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Onat'(
% 1.12/1.53 X ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.12/1.53 ) ), 'c_0' ) ],
% 1.12/1.53 [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ],
% 1.12/1.53 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ],
% 1.12/1.53 [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_IntDef_Oint'( 'c_0' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 'c_IntDef_Oint'( Y ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) )
% 1.12/1.53 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_0',
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0',
% 1.12/1.53 'c_IntDef_Oof__int'( 'c_0', X ) ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.12/1.53 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y,
% 1.12/1.53 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.12/1.53 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.12/1.53 , 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y,
% 1.12/1.53 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.12/1.53 , Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ),
% 1.12/1.53 X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.12/1.53 'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.12/1.53 'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.12/1.53 'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.53 'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.12/1.53 'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.12/1.53 , X ) ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0',
% 1.12/1.53 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.12/1.53 Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X
% 1.12/1.53 ), 'c_0', X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ),
% 1.12/1.53 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.12/1.53 Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ),
% 1.12/1.53 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0',
% 1.12/1.53 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y,
% 1.12/1.53 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0'
% 1.12/1.53 , X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 'c_less'(
% 1.12/1.53 Y, Z, 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, Z,
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ),
% 1.12/1.53 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.12/1.53 'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.12/1.53 'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'(
% 1.12/1.53 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.12/1.53 'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ),
% 1.12/1.53 'c_NatArith_Oof__nat'( Y, X ) ) ],
% 1.12/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.12/1.53 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ),
% 1.12/1.53 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_IntDef_Oint'(
% 1.12/1.53 X ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 'c_less'(
% 1.12/1.53 'c_0', X, 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.12/1.53 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.12/1.53 [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_IntDef_Oint'(
% 1.12/1.53 X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.12/1.53 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_IntDef_Oint'( X ),
% 1.12/1.53 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.12/1.53 , 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.12/1.53 , 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y
% 1.12/1.53 ), 'tc_nat' ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.12/1.53 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegDivAlg'(
% 1.12/1.53 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.12/1.53 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.12/1.53 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.12/1.53 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.12/1.53 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.12/1.53 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.12/1.53 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.12/1.53 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.12/1.53 ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.12/1.53 ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.12/1.53 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegDivAlg'(
% 1.12/1.53 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.12/1.53 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.12/1.53 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.12/1.53 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.12/1.53 ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.12/1.53 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OposDivAlg'(
% 1.12/1.53 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.12/1.53 , 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.12/1.53 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.12/1.53 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'(
% 1.12/1.53 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.12/1.53 [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.12/1.53 , 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X,
% 1.12/1.53 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.12/1.53 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.12/1.53 ],
% 1.12/1.53 [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'(
% 1.12/1.53 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_1',
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'(
% 1.12/1.53 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.12/1.53 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'(
% 1.12/1.53 'c_Pair'( 'c_1', 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.53 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.12/1.53 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.12/1.53 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.53 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.53 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ) ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.12/1.53 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.12/1.53 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.12/1.53 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 'c_times'( X,
% 1.12/1.53 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ],
% 1.12/1.53 [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin',
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint' )
% 1.12/1.53 ) ],
% 1.12/1.53 [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X,
% 1.12/1.53 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.12/1.53 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.12/1.53 ],
% 1.12/1.53 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.12/1.53 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.12/1.53 ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.12/1.53 ],
% 1.12/1.53 [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.53 , 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 'c_div'(
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_plus'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' )
% 1.12/1.53 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.12/1.53 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.12/1.53 'tc_IntDef_Oint' ) ) ],
% 1.12/1.53 [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.12/1.53 [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( Y,
% 1.12/1.53 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 'tc_IntDef_Oint' )
% 1.12/1.53 ) ],
% 1.12/1.53 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.12/1.53 'tc_IntDef_Oint' ), Y ) ],
% 1.12/1.53 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.12/1.53 'tc_IntDef_Oint' ), Y ) ],
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.12/1.53 ],
% 1.12/1.53 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.12/1.53 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.12/1.53 , =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' )
% 1.12/1.53 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_0' ) ],
% 1.12/1.53 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.53 'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'(
% 1.12/1.53 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.53 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.12/1.53 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0',
% 1.12/1.53 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X,
% 1.12/1.53 'c_0' ) ],
% 1.12/1.53 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 'c_0' ) ],
% 1.12/1.53 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.12/1.53 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.12/1.53 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.12/1.53 ,
% 1.12/1.53 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.12/1.54 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.12/1.54 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.12/1.54 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.12/1.54 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.12/1.54 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 'c_LOrder_Ojoin'( Y, Y
% 1.12/1.54 , X ), Y ) ],
% 1.12/1.54 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 'c_LOrder_Omeet'( Y, Y
% 1.12/1.54 , X ), Y ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.12/1.54 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.12/1.54 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.12/1.54 Z, Z ) ), =( X, T ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.12/1.54 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.12/1.54 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.12/1.54 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.12/1.54 Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.12/1.54 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.12/1.54 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y,
% 1.12/1.54 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.12/1.54 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.12/1.54 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.12/1.54 , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'(
% 1.12/1.54 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y,
% 1.12/1.54 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( =(
% 1.12/1.54 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W,
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.12/1.54 , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.12/1.54 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.12/1.54 ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.12/1.54 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.12/1.54 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.12/1.54 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.12/1.54 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.12/1.54 , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.12/1.54 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Olist_ONil',
% 1.12/1.54 'c_List_Oconcat'( X, Y ) ) ],
% 1.12/1.54 [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.12/1.54 ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 1.12/1.54 'c_List_Olist_ONil', X ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.12/1.54 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.12/1.54 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.12/1.54 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.12/1.54 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.12/1.54 Z ) ) ), =( X, T ) ],
% 1.12/1.54 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.12/1.54 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.12/1.54 Z ) ) ), =( Y, U ) ],
% 1.12/1.54 [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( X,
% 1.12/1.54 'c_append'( Y, T, Z ), Z ) ) ],
% 1.12/1.54 [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 'c_List_Obutlast'( X, Y )
% 1.12/1.54 , 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil', Y )
% 1.12/1.54 , Y ), X ) ],
% 1.12/1.54 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.12/1.54 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.12/1.54 , Y ) ) ), =( X, Z ) ],
% 1.12/1.54 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.12/1.54 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.12/1.54 , Y ) ) ), =( T, U ) ],
% 1.12/1.54 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.12/1.54 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.12/1.54 , Y ) ) ), =( T, U ) ],
% 1.12/1.54 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.12/1.54 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.12/1.54 , Y ) ) ), =( X, Z ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ],
% 1.12/1.54 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.12/1.54 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 1.12/1.54 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.12/1.54 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.12/1.54 [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, Z ), Z
% 1.12/1.54 ), Y ) ],
% 1.12/1.54 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y
% 1.12/1.54 ), Y ), 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'(
% 1.12/1.54 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 1.12/1.54 'c_List_Obutlast'( X, Z ), Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.12/1.54 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ],
% 1.12/1.54 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.12/1.54 =( X, Z ) ],
% 1.12/1.54 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.12/1.54 =( Y, T ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 'tc_List_Ochar' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 'tc_List_Olist'( Z )
% 1.12/1.54 ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z ) ), Z ),
% 1.12/1.54 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z ), Z ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ),
% 1.12/1.54 'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.12/1.54 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Oconcat'( X, Y
% 1.12/1.54 ), 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.12/1.54 ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ),
% 1.12/1.54 'c_List_Odistinct'( X, Y ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate1'(
% 1.12/1.54 X, Y ), Y ) ],
% 1.12/1.54 [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), ~(
% 1.12/1.54 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ),
% 1.12/1.54 'c_List_Odistinct'( Y, Z ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.12/1.54 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.12/1.54 'c_List_Odistinct'( X, Z ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.12/1.54 'c_List_Odistinct'( Y, Z ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 'c_inter'(
% 1.12/1.54 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 'c_emptyset' ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z, Y ) ), ~(
% 1.12/1.54 =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y ),
% 1.12/1.54 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Odrop'( Z
% 1.12/1.54 , X, Y ), Y ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Oremove1'(
% 1.12/1.54 Z, X, Y ), Y ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ),
% 1.12/1.54 'c_List_Odistinct'( X, Y ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orev'( X
% 1.12/1.54 , Y ), Y ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) ),
% 1.12/1.54 'c_List_Odistinct'( Y, Z ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate'(
% 1.12/1.54 Z, X, Y ), Y ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Osublist'(
% 1.12/1.54 X, Z, Y ), Y ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Otake'( Z
% 1.12/1.54 , X, Y ), Y ) ],
% 1.12/1.54 [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ],
% 1.12/1.54 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ],
% 1.12/1.54 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.12/1.54 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.12/1.54 , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.12/1.54 [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.12/1.54 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.12/1.54 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.12/1.54 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 1.12/1.54 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 1.12/1.54 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.12/1.54 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.12/1.54 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ],
% 1.12/1.54 [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 'c_List_Oupt'(
% 1.12/1.54 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 1.12/1.54 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 'c_List_Ohd'( X
% 1.12/1.54 , Y ), 'c_List_Otl'( X, Y ), Y ), X ) ],
% 1.12/1.54 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( X, Y, Z ), Z
% 1.12/1.54 ), 'c_List_Ohd'( X, Z ) ) ],
% 1.12/1.54 [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 'c_List_Oupt'( X, Y
% 1.12/1.54 ), 'tc_nat' ), X ) ],
% 1.12/1.54 [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( X, Z ), Y, Z
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.12/1.54 [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.12/1.54 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.12/1.54 Y ), X ) ],
% 1.12/1.54 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_List_Olist_OCons'(
% 1.12/1.54 Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y ), Y ),
% 1.12/1.54 'c_List_Olast'( X, Y ) ) ],
% 1.12/1.54 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_append'( Y, X, Z )
% 1.12/1.54 , Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.12/1.54 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.12/1.54 , =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y, Z
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 1.12/1.54 , Y ) ],
% 1.12/1.54 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.12/1.54 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ],
% 1.12/1.54 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Oupt'( X,
% 1.12/1.54 Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.12/1.54 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y,
% 1.12/1.54 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.12/1.54 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.12/1.54 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 1.12/1.54 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.12/1.54 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.12/1.54 , =( X, 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 1.12/1.54 'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ],
% 1.12/1.54 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.12/1.54 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 1.12/1.54 Y ), X ) ],
% 1.12/1.54 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 1.12/1.54 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 1.12/1.54 'tc_List_Olist'( Y ) ) ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 'tc_List_Olist'( Z )
% 1.12/1.54 ), X ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.12/1.54 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.12/1.54 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 'tc_List_Olist'( Z ) )
% 1.12/1.54 , 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.12/1.54 'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat'
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.12/1.54 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 'tc_nat' ) )
% 1.12/1.54 , 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 'tc_List_Olist'(
% 1.12/1.54 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( X,
% 1.12/1.54 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ),
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.12/1.54 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.12/1.54 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.12/1.54 'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ),
% 1.12/1.54 'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ],
% 1.12/1.54 [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z )
% 1.12/1.54 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z )
% 1.12/1.54 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.12/1.54 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.12/1.54 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.12/1.54 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.12/1.54 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.12/1.54 Z, Z ) ), =( X, T ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.12/1.54 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.12/1.54 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.12/1.54 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.12/1.54 Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.12/1.54 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 'c_List_Olist_OCons'( Y, W, Z
% 1.12/1.54 ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z
% 1.12/1.54 ), 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.12/1.54 ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.12/1.54 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.12/1.54 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'(
% 1.12/1.54 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.12/1.54 ) ), =( X, T ) ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.12/1.54 ) ), =( Y, U ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z
% 1.12/1.54 ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_0'
% 1.12/1.54 ), 'tc_nat' ) ) ],
% 1.12/1.54 [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ),
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Olist__inter'(
% 1.12/1.54 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist_OCons'( X,
% 1.12/1.54 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ],
% 1.12/1.54 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Olist__inter'(
% 1.12/1.54 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist__inter'( T, Y, Z )
% 1.12/1.54 ) ],
% 1.12/1.54 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z ),
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.12/1.54 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ],
% 1.12/1.54 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.12/1.54 , =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_List_Olist__update'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z,
% 1.12/1.54 T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), U, T ), 'c_append'( X
% 1.12/1.54 , 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.12/1.54 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.12/1.54 , =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, T, Z ), X, U,
% 1.12/1.54 Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ],
% 1.12/1.54 [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 'c_insert'(
% 1.12/1.54 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ),
% 1.12/1.54 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'(
% 1.12/1.54 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ],
% 1.12/1.54 [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'(
% 1.12/1.54 'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.12/1.54 ) ],
% 1.12/1.54 [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.12/1.54 [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 'c_insert'(
% 1.12/1.54 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ],
% 1.12/1.54 [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 'tc_set'( Z ) ), Z )
% 1.12/1.54 , 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.12/1.54 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.12/1.54 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.12/1.54 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 'tc_List_Onibble' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T ), T ), T ) )
% 1.12/1.54 , 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 1.12/1.54 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 1.12/1.54 , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 1.12/1.54 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0', Z ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ),
% 1.12/1.54 'c_List_Onth'( Y, T, Z ) ) ],
% 1.12/1.54 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.12/1.54 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 'c_Numeral_Onumber__of'(
% 1.12/1.54 X, 'tc_nat' ), T ), Y ) ],
% 1.12/1.54 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.12/1.54 'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.12/1.54 , 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ],
% 1.12/1.54 [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 'c_Nat_Osize'( X,
% 1.12/1.54 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, T, Z ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_Nat_Osize'( Z,
% 1.12/1.54 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Odrop'( X
% 1.12/1.54 , Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 'tc_nat' ), T ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.12/1.54 , =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X, T, U ), Y,
% 1.12/1.54 U ), 'c_List_Onth'( Z, Y, U ) ) ],
% 1.12/1.54 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.12/1.54 , 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ],
% 1.12/1.54 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Oreplicate'(
% 1.12/1.54 Y, Z, T ), X, T ), Z ) ],
% 1.12/1.54 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Otake'( Y,
% 1.12/1.54 Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.12/1.54 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.12/1.54 , ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ), 'tc_nat' ) )
% 1.12/1.54 , =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 'tc_prod'( U, Z ) ),
% 1.12/1.54 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y, X, Z ), U, Z ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ],
% 1.12/1.54 [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.12/1.54 [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.12/1.54 'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ],
% 1.12/1.54 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.12/1.54 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ) ),
% 1.12/1.54 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ],
% 1.12/1.54 [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 1.12/1.54 [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X,
% 1.12/1.54 'c_List_Olist_OCons'( T, Y, Z ), Z ) ],
% 1.12/1.54 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Oremdups'(
% 1.12/1.54 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Oremdups'( Y, Z ) ) ],
% 1.12/1.54 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Oremdups'(
% 1.12/1.54 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 1.12/1.54 'c_List_Oremdups'( Y, Z ), Z ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 'c_List_Olist_ONil', X ) )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.12/1.54 ) ],
% 1.12/1.54 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 1.12/1.54 ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ) ],
% 1.12/1.54 [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.12/1.54 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_append'(
% 1.12/1.54 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Z )
% 1.12/1.54 , Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'(
% 1.12/1.54 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.12/1.54 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 1.12/1.54 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.12/1.54 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 1.12/1.54 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 1.12/1.54 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.12/1.54 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.12/1.54 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 1.12/1.54 'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 1.12/1.54 'c_List_Olist_ONil', Y ) ) ],
% 1.12/1.54 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y
% 1.12/1.54 ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.12/1.54 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ],
% 1.12/1.54 [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'(
% 1.12/1.54 'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 1.12/1.54 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.12/1.54 ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 1.12/1.54 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.12/1.54 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ],
% 1.12/1.54 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.12/1.54 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.12/1.54 [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_insert'( X
% 1.12/1.54 , 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 'c_List_Oset'(
% 1.12/1.54 X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.12/1.54 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.12/1.54 [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 'c_List_Oremove1'(
% 1.12/1.54 Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 'c_insert'( Z,
% 1.12/1.54 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ],
% 1.12/1.54 [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.12/1.54 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.12/1.54 [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 'c_List_Oset'( Y,
% 1.12/1.54 Z ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.12/1.54 Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.12/1.54 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.12/1.54 [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 'c_List_Olist_ONil' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 'c_List_Olist_ONil'
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'(
% 1.12/1.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.12/1.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ],
% 1.12/1.54 [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'(
% 1.12/1.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 'tc_nat' ), Z )
% 1.12/1.54 , 'c_List_Otake'( Y, X, Z ) ) ],
% 1.12/1.54 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.12/1.54 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 1.12/1.54 'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.12/1.54 , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.12/1.54 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.12/1.54 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ],
% 1.12/1.54 [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.12/1.54 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.12/1.54 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.12/1.54 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 'c_0'
% 1.12/1.54 ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.12/1.54 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 1.12/1.54 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.12/1.54 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 'c_List_Oupt'( X,
% 1.12/1.54 'c_plus'( X, Y, 'tc_nat' ) ) ) ],
% 1.12/1.54 [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.12/1.54 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( X, Y, Z ), Z
% 1.12/1.54 ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ],
% 1.12/1.54 [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.12/1.54 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z ) ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( X, 'c_Suc'( Y
% 1.12/1.54 ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 'c_List_Olist_OCons'( Y,
% 1.12/1.54 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.54 [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 'c_Suc'( Y ) )
% 1.12/1.54 , 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 'c_lessequals'(
% 1.12/1.54 Y, X, 'tc_nat' ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( Y, X ),
% 1.12/1.54 'c_List_Olist_ONil' ) ],
% 1.12/1.54 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.12/1.54 [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 'c_List_Olist_ONil'
% 1.12/1.54 ) ],
% 1.12/1.54 [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.12/1.54 'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'(
% 1.12/1.54 X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.12/1.54 [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 'c_List_Olist_ONil'
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.12/1.54 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Y )
% 1.12/1.54 ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 'c_List_Ozip'(
% 1.12/1.54 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 'c_append'(
% 1.12/1.54 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 'tc_prod'( Y, T
% 1.12/1.54 ) ) ) ],
% 1.12/1.54 [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 1.12/1.54 T, U, W ), Z, W ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, T,
% 1.12/1.54 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.12/1.54 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 'c_Map_Omap__of'(
% 1.12/1.54 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 'c_Datatype_Ooption_ONone' ) ),
% 1.12/1.54 ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( T,
% 1.12/1.54 'tc_List_Olist'( U ) ) ) ) ],
% 1.12/1.54 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.12/1.54 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X, Y ), Y ), =(
% 1.12/1.54 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ),
% 1.12/1.54 'c_Datatype_Ooption_ONone' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.12/1.54 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 'tc_nat' ), X,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 'c_minus'( Y, X
% 1.12/1.54 , 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 'tc_nat' ), X,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_Suc'(
% 1.12/1.54 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X,
% 1.12/1.54 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 'c_Suc'(
% 1.12/1.54 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ),
% 1.12/1.54 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 'c_minus'( Y,
% 1.12/1.54 X, 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_minus'( Y,
% 1.12/1.54 X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 'tc_nat' ), Y,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.12/1.54 ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.12/1.54 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 'c_NatArith_Oof__nat'(
% 1.12/1.54 Y, X ), 'c_1', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 'c_0',
% 1.12/1.54 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 'c_0',
% 1.12/1.54 'c_NatArith_Oof__nat'( 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.12/1.54 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 'tc_nat'
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.12/1.54 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.12/1.54 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'(
% 1.12/1.54 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( Z, Y, 'tc_nat' )
% 1.12/1.54 , X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 'c_NatArith_Oof__nat'( Y
% 1.12/1.54 , X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.12/1.54 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.12/1.54 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.12/1.54 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y, Z
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.12/1.54 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z,
% 1.12/1.54 X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'(
% 1.12/1.54 Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ),
% 1.12/1.54 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ),
% 1.12/1.54 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.12/1.54 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 'c_times'(
% 1.12/1.54 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.12/1.54 ), 'c_1' ) ],
% 1.12/1.54 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.12/1.54 , 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_plus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.12/1.54 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y
% 1.12/1.54 , X ), 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.12/1.54 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =(
% 1.12/1.54 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ),
% 1.12/1.54 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.12/1.54 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.54 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.54 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.54 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.12/1.54 X, 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.12/1.54 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( X ) ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.12/1.54 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.12/1.54 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.12/1.54 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.12/1.54 , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.12/1.54 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0'
% 1.12/1.54 ) ],
% 1.12/1.54 [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 'c_plus'(
% 1.12/1.54 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ) ), 'c_0' ) ],
% 1.12/1.54 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.12/1.54 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( X
% 1.12/1.54 ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.12/1.54 X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.12/1.54 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.12/1.54 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.12/1.54 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.12/1.54 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.12/1.54 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.12/1.54 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.12/1.54 ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.12/1.54 Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.12/1.54 , 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.12/1.54 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.12/1.54 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.12/1.54 ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( X, Y ), 'tc_nat' ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ),
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' ), 'c_0' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.12/1.54 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.12/1.54 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.12/1.54 [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.12/1.54 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.12/1.54 ), 'tc_IntDef_Oint' ) ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1',
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.12/1.54 'tc_nat' ), X ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.54 =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.12/1.54 'tc_nat' ), X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'(
% 1.12/1.54 'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.12/1.54 , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.12/1.54 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.12/1.54 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.12/1.54 ) ],
% 1.12/1.54 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'c_IntDef_Onat'( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.12/1.54 'tc_nat' ), X ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'(
% 1.12/1.54 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ) ) ],
% 1.12/1.54 [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), X
% 1.12/1.54 ) ],
% 1.12/1.54 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.12/1.54 [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 'tc_nat' ), 'c_div'(
% 1.12/1.54 X, 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.12/1.54 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.12/1.54 , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.12/1.54 , 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.12/1.54 ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.12/1.54 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.12/1.54 ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.12/1.54 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.12/1.54 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.12/1.54 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.12/1.54 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.12/1.54 , X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.12/1.54 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ),
% 1.12/1.54 X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.12/1.54 ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.12/1.54 ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.12/1.54 , 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.12/1.54 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.12/1.54 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'(
% 1.12/1.54 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'(
% 1.12/1.54 T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.12/1.54 X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.12/1.54 , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.12/1.54 , X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'(
% 1.12/1.54 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'(
% 1.12/1.54 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.12/1.54 ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.12/1.54 , X ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.54 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.12/1.54 ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.12/1.54 , T, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'(
% 1.12/1.54 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.12/1.54 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.12/1.54 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.12/1.54 , X ), 'c_less'( 'c_0', Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.12/1.54 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.12/1.54 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z,
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T,
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.12/1.54 Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.12/1.54 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T,
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T,
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.12/1.54 , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.12/1.54 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.12/1.54 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.12/1.54 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.12/1.54 , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.12/1.54 ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.12/1.54 ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.12/1.54 ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.12/1.54 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.12/1.54 , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.12/1.54 ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.12/1.54 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.12/1.54 ) ), ~( =( 'c_uminus'( Y, X ), 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.12/1.54 ) ), =( 'c_uminus'( 'c_uminus'( 'c_1', X ), X ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Ofield'(
% 1.12/1.54 X ) ), =( 'c_HOL_Oinverse'( 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.12/1.54 'c_divide'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'(
% 1.12/1.54 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'(
% 1.12/1.54 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.54 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'(
% 1.12/1.54 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.12/1.54 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.12/1.54 , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.54 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T,
% 1.12/1.54 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.12/1.54 T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.12/1.54 , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.12/1.54 , X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.12/1.54 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.12/1.54 , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.12/1.54 ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.12/1.54 ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.54 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.12/1.54 ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ),
% 1.12/1.54 X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.12/1.54 T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y,
% 1.12/1.54 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.12/1.54 ), X ) ],
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.12/1.54 ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.12/1.54 'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ),
% 1.12/1.54 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.12/1.54 X ) ), =( 'c_times'( 'c_minus'( Y, Z, X ), 'c_Numeral_Onumber__of'( T, X
% 1.12/1.54 ), X ), 'c_minus'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z,
% 1.12/1.54 X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.12/1.54 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y,
% 1.12/1.54 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.12/1.54 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.12/1.54 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.12/1.54 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.12/1.54 , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.12/1.54 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z,
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'(
% 1.12/1.54 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.12/1.54 , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.12/1.54 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.12/1.54 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'(
% 1.12/1.54 Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.12/1.54 , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.12/1.54 , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ),
% 1.12/1.54 X ), X ) ],
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.12/1.54 , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z,
% 1.12/1.54 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'(
% 1.12/1.54 'c_divide'( 'c_1', Y, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.12/1.54 , Y, X ) ],
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.12/1.54 'c_1', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.12/1.54 'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ),
% 1.12/1.54 'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'(
% 1.12/1.54 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'(
% 1.12/1.54 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.12/1.54 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'c_1' ) ],
% 1.12/1.54 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.12/1.54 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ),
% 1.12/1.54 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.12/1.54 , 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.12/1.54 , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.12/1.54 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.12/1.54 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.12/1.54 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.12/1.54 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.12/1.54 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.12/1.54 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.12/1.54 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.12/1.54 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.12/1.54 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.12/1.54 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.12/1.54 , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.12/1.54 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.12/1.54 , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.12/1.54 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.12/1.54 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z,
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.12/1.54 X ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X
% 1.12/1.54 ), X ), 'c_minus'( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ),
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'(
% 1.12/1.54 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.12/1.54 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.12/1.54 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.12/1.54 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.12/1.54 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.12/1.54 , X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.12/1.54 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.12/1.54 ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.12/1.54 , Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0',
% 1.12/1.54 X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.12/1.54 , Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.12/1.54 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.12/1.54 'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.12/1.54 'c_0', X ), 'c_less'( 'c_0', Z, X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.12/1.54 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.12/1.54 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ],
% 1.12/1.54 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.12/1.54 [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ),
% 1.12/1.54 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 1.12/1.54 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 1.12/1.54 'c_Suc'( Y ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.12/1.54 , 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.12/1.54 , 'tc_nat' ) ],
% 1.12/1.54 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 'c_minus'( X, 'c_Suc'(
% 1.12/1.54 'c_0' ), 'tc_nat' ) ), X ) ],
% 1.12/1.54 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.12/1.54 [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.12/1.54 [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.12/1.54 'tc_nat' ) ) ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 1.12/1.54 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.12/1.54 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_minus'( X, Y
% 1.12/1.54 , 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, 'c_Suc'(
% 1.12/1.54 Y ), 'tc_nat' ), X, 'tc_nat' ) ],
% 1.12/1.54 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( X
% 1.12/1.54 , 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 'c_lessequals'( X, Y,
% 1.12/1.54 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y, 'tc_nat' )
% 1.12/1.54 , 'c_0' ) ],
% 1.12/1.54 [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.12/1.54 [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.12/1.54 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.12/1.54 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 'c_minus'( Y, X
% 1.12/1.54 , 'tc_nat' ), 'tc_nat' ), Y ) ],
% 1.12/1.54 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.12/1.54 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.12/1.54 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.12/1.54 [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.12/1.54 [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.12/1.54 [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.12/1.54 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ],
% 1.12/1.54 [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.12/1.54 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ],
% 1.12/1.54 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 'c_times'( X,
% 1.12/1.54 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ) ) ),
% 1.12/1.54 =( Y, Z ), =( X, 'c_0' ) ],
% 1.12/1.54 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 'tc_nat' ) )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ) ) ),
% 1.12/1.54 =( X, Z ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 'tc_nat' ) )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( X, 'c_1' )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( Y, 'c_1' )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ],
% 1.12/1.54 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ), =( X,
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( X,
% 1.12/1.54 Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.12/1.54 Y, Z, 'tc_nat' ) ],
% 1.12/1.54 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( X, Y,
% 1.12/1.54 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( Z, X
% 1.12/1.54 , 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.12/1.54 X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.12/1.54 Y, Z, 'tc_nat' ) ],
% 1.12/1.54 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( Y, X,
% 1.12/1.54 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( X, Z
% 1.12/1.54 , 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.12/1.54 , 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.12/1.54 , 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.12/1.54 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.12/1.54 , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.12/1.54 , 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.12/1.54 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.12/1.54 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.12/1.54 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.12/1.54 ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ) ) ), =( Y
% 1.12/1.54 , Z ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_plus'( Z, X
% 1.12/1.54 , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X, 'tc_nat' )
% 1.12/1.54 , 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ), =( X
% 1.12/1.54 , Z ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.12/1.54 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( X, 'c_1' )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_1' )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_1', Y
% 1.12/1.54 , 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( Y, X,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 'c_times'( X,
% 1.12/1.54 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.54 [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.12/1.54 [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.12/1.54 'tc_nat' ) ) ) ],
% 1.12/1.54 [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.12/1.54 'c_less'( Y, X, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_minus'( Y, X,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'c_Numeral_OMin' ) ],
% 1.12/1.54 [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB0' ),
% 1.12/1.54 'c_Numeral_OPls' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.12/1.54 , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.12/1.54 Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.12/1.54 ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.12/1.54 Y, Z ), X ), T, X ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.12/1.54 , 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X
% 1.12/1.54 , Y ), Z ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.12/1.54 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.12/1.54 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ),
% 1.12/1.54 'c_Numeral_Obin__pred'( X ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ),
% 1.12/1.54 'c_Numeral_Obin__pred'( X ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_Obin__minus'( Y ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 'c_1', X ),
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.54 'c_Numeral_Obin__minus'( Z ) ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0'
% 1.12/1.54 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1'
% 1.12/1.54 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 'c_Numeral_Obin__minus'(
% 1.12/1.54 X ) ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 'c_Numeral_OPls' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.12/1.54 , Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X, Y ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.12/1.54 , Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.12/1.54 , Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ),
% 1.12/1.54 'c_Numeral_Obin__minus'( X ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 'c_Numeral_OPls' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.12/1.54 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 'c_Numeral_Obit_OB1' )
% 1.12/1.54 ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.12/1.54 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 'c_Numeral_OMin' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.12/1.54 'c_IntDef_Oiszero'( 'c_1', X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ),
% 1.12/1.54 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.54 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.54 'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.54 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.54 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.12/1.54 , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.12/1.54 , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.12/1.54 , X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.12/1.54 , X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.12/1.54 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.54 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.12/1.54 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.12/1.54 'c_1', X ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.12/1.54 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.12/1.54 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 'c_Numeral_Obit_OB0' )
% 1.12/1.54 ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 'c_Numeral_OPls' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.12/1.54 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.12/1.54 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 'c_uminus'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.12/1.54 ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OPls', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), X ), 'c_1' )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 1.12/1.54 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 'c_0'
% 1.12/1.54 , 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 'c_0',
% 1.12/1.54 'c_HOL_Oabs'( 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.12/1.54 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ),
% 1.12/1.54 X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =(
% 1.12/1.54 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.12/1.54 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.54 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.12/1.54 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.54 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.12/1.54 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( Y,
% 1.12/1.54 X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( Y,
% 1.12/1.54 'c_0', X ), Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.54 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ),
% 1.12/1.54 'c_lessequals'( Z, T, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.54 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ),
% 1.12/1.54 'c_plus'( T, Z, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.54 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ),
% 1.12/1.54 'c_lessequals'( Y, T, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.54 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 1.12/1.54 'c_plus'( Z, T, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.12/1.54 Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.54 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'(
% 1.12/1.54 Z, T, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.54 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z
% 1.12/1.54 , X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.54 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'(
% 1.12/1.54 Y, T, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.54 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T
% 1.12/1.54 , X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.12/1.54 Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 1.12/1.54 , Y, X ), Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( 'c_0', Y
% 1.12/1.54 , X ), 'c_uminus'( Y, X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 'c_0'
% 1.12/1.54 , X ), Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_minus'( Y, Z
% 1.12/1.54 , X ), 'c_0' ) ), =( Y, Z ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 1.12/1.54 , X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 1.12/1.54 , X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y,
% 1.12/1.54 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, Y, X
% 1.12/1.54 ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X ),
% 1.12/1.54 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ),
% 1.12/1.54 'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.12/1.54 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.12/1.54 'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.12/1.54 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.12/1.54 'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.12/1.54 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 1.12/1.54 ), X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.12/1.54 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.12/1.54 'c_uminus'( Y, X ), X ), Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y,
% 1.12/1.54 X ), Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( Y, 'c_1',
% 1.12/1.54 X ), Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_0',
% 1.12/1.54 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0', 'c_uminus'(
% 1.12/1.54 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( Y, X
% 1.12/1.54 ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.12/1.54 ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_0',
% 1.12/1.54 X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.12/1.54 ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.12/1.54 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 'c_uminus'( Y, X ),
% 1.12/1.54 'c_uminus'( Z, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 'c_0',
% 1.12/1.54 Y, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.12/1.54 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.12/1.54 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ),
% 1.12/1.54 'c_uminus'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.12/1.54 Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.12/1.54 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 'c_uminus'( Y, X ),
% 1.12/1.54 'c_uminus'( Z, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.12/1.54 'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.12/1.54 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ),
% 1.12/1.54 'c_OrderedGroup_Onprt'( Z, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.12/1.54 'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X ),
% 1.12/1.54 'c_OrderedGroup_Opprt'( Z, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y,
% 1.12/1.54 'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.12/1.54 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 'c_less'(
% 1.12/1.54 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.12/1.54 Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.12/1.54 Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.12/1.54 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X ), Z, X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.12/1.54 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z, X ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.54 , ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 'c_Orderings_Omin'(
% 1.12/1.54 T, Z, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, Y, X
% 1.12/1.54 ), Y ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y,
% 1.12/1.54 'c_Orderings_Omin'( Y, Z, X ), X ), 'c_Orderings_Omin'( Y, Z, X ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.54 , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T,
% 1.12/1.54 Y, X ), Z, X ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, Y, X
% 1.12/1.54 ), Y ) ],
% 1.12/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y,
% 1.12/1.54 'c_Orderings_Omax'( Y, Z, X ), X ), 'c_Orderings_Omax'( Y, Z, X ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat'
% 1.12/1.54 ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ) ), 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.12/1.54 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.12/1.54 , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.12/1.54 , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.12/1.54 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.12/1.54 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint'
% 1.12/1.54 ), 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_Suc'( X
% 1.12/1.54 ), 'tc_nat' ) ) ],
% 1.12/1.54 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 'c_Suc'( X ),
% 1.12/1.54 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.12/1.54 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.12/1.54 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat'
% 1.12/1.54 ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.12/1.54 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( X,
% 1.12/1.54 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( Y,
% 1.12/1.54 X, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( Y
% 1.12/1.54 , X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( X
% 1.12/1.54 , Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat'
% 1.12/1.54 ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 'tc_nat' ),
% 1.12/1.54 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.12/1.54 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.12/1.54 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ),
% 1.12/1.54 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.12/1.54 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.12/1.54 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.12/1.54 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.12/1.54 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.12/1.54 ), 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' )
% 1.12/1.54 , 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.12/1.54 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.12/1.54 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'(
% 1.12/1.54 'c_1', X ) ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.12/1.54 ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.12/1.54 ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 'c_Nat_Opower'(
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.12/1.54 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ),
% 1.12/1.54 =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.12/1.54 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.12/1.54 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.12/1.54 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X,
% 1.12/1.54 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.12/1.54 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.12/1.54 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ],
% 1.12/1.54 [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.12/1.54 Y, 'tc_nat' ), X ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.12/1.54 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.12/1.54 'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.12/1.54 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.12/1.54 ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.12/1.54 ) ), =( Z, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.12/1.54 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.12/1.54 ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.12/1.54 ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.12/1.54 , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.12/1.54 , 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.12/1.54 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.12/1.54 , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'(
% 1.12/1.54 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.12/1.54 ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.12/1.54 ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.12/1.54 X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.12/1.54 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ),
% 1.12/1.54 'c_Nat_Opower'( Z, Y, X ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.12/1.54 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'(
% 1.12/1.54 'c_Nat_Opower'( Z, Y, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.12/1.54 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'c_lessequals'( 'c_0', Y, X ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.12/1.54 'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y,
% 1.12/1.54 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.12/1.54 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.12/1.54 'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.12/1.54 , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.12/1.54 ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.12/1.54 , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.12/1.54 , 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.12/1.54 , 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.12/1.54 ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.12/1.54 'tc_nat' ), X ), X ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y,
% 1.12/1.54 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ), =(
% 1.12/1.54 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.12/1.54 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 'c_less'(
% 1.12/1.54 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.12/1.54 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_Nat_Opower'(
% 1.12/1.54 X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'(
% 1.12/1.54 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' ), 'tc_nat' ) )
% 1.12/1.54 , =( X, 'c_0' ) ],
% 1.12/1.54 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X,
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'tc_nat' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ],
% 1.12/1.54 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( X,
% 1.12/1.54 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Suc'(
% 1.12/1.54 Y ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.12/1.54 Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.12/1.54 Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y,
% 1.12/1.54 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.12/1.54 , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.12/1.54 , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.12/1.54 , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'(
% 1.12/1.54 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.12/1.54 , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ),
% 1.12/1.54 =( Z, T ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', Y, X ),
% 1.12/1.54 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_1', X ), Y
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.12/1.54 , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.12/1.54 ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z,
% 1.12/1.54 'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T,
% 1.12/1.54 Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_0', X ),
% 1.12/1.54 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0',
% 1.12/1.54 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.12/1.54 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ],
% 1.12/1.54 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ],
% 1.12/1.54 [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ],
% 1.12/1.54 [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ),
% 1.12/1.54 'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ],
% 1.12/1.54 [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.12/1.54 [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.12/1.54 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z ), X ) ],
% 1.12/1.54 [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X ) ],
% 1.12/1.54 [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y, Y ),
% 1.12/1.54 'c_inter'( X, Z, Y ) ) ],
% 1.12/1.54 [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 'c_emptyset' ) ],
% 1.12/1.54 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.12/1.54 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.12/1.54 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y ), X ) ],
% 1.12/1.54 [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.12/1.54 [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ],
% 1.12/1.54 [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.12/1.54 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 'c_Relation_OId'
% 1.12/1.54 ) ],
% 1.12/1.54 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.12/1.54 X ) ],
% 1.12/1.54 [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y, Y ),
% 1.12/1.54 'c_Relation_Odiag'( X, Y ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.12/1.54 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 1.12/1.54 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 1.12/1.54 Z ) ) ],
% 1.12/1.54 [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.12/1.54 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.12/1.54 ) ), =( X, Y ) ],
% 1.12/1.54 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.12/1.54 ],
% 1.12/1.54 [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y ) ) ), X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y ) ) ),
% 1.12/1.54 'c_Relation_OId' ) ],
% 1.12/1.54 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( Z, Z ) ) ),
% 1.12/1.54 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 'tc_prod'( Z
% 1.12/1.54 , Z ) ) ), Z, Z, Z ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.12/1.54 'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ),
% 1.12/1.54 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.12/1.54 'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.12/1.54 ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.12/1.54 'c_1', X ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_0',
% 1.12/1.54 'c_1' ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_1', X
% 1.12/1.54 ), Y ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.12/1.54 'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.12/1.54 'c_divide'( 'c_0', Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.12/1.54 'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.12/1.54 'c_divide'( Z, 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, Z,
% 1.12/1.54 X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( Z,
% 1.12/1.54 T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.12/1.54 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.12/1.54 'c_1' ) ), =( Y, Z ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.12/1.54 'c_0', X ), 'c_1' ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, Z,
% 1.12/1.54 X ), 'c_1' ) ), =( Z, Y ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.12/1.54 'c_divide'( Y, Y, X ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.12/1.54 'c_lessequals'( Y, Z, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.12/1.54 ), 'c_1', X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.12/1.54 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.12/1.54 ), 'c_1', X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.12/1.54 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z, X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.12/1.54 , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y, X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.12/1.54 , ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 'c_1', X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'(
% 1.12/1.54 Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( Z,
% 1.12/1.54 X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X )
% 1.12/1.54 , 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.12/1.54 Y, 'c_0', X ) ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.12/1.54 Y, Z, X ) ) ), =( Z, Y ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 'c_1'
% 1.12/1.54 , 'c_divide'( Y, Y, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.12/1.54 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.12/1.54 , 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', Y, X )
% 1.12/1.54 , 'c_times'( 'c_0', Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.12/1.54 , 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_0', X )
% 1.12/1.54 , 'c_times'( Z, 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_divide'(
% 1.12/1.54 Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.12/1.54 'c_1' ) ), =( Y, 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X ),
% 1.12/1.54 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.12/1.54 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.12/1.54 'c_HOL_Oinverse'( Y, X ), X ), Y ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.12/1.54 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.12/1.54 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.54 , 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.12/1.54 Y, Z, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.12/1.54 ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.12/1.54 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.12/1.54 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.12/1.54 , X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ),
% 1.12/1.54 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.12/1.54 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.12/1.54 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.12/1.54 , X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ),
% 1.12/1.54 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_uminus'(
% 1.12/1.54 Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( Y
% 1.12/1.54 , Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z,
% 1.12/1.54 X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.54 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.12/1.54 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.12/1.54 ,
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.54 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.12/1.54 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X ),
% 1.12/1.54 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.54 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.12/1.54 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.12/1.54 Z, Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.12/1.54 'c_lessequals'( Y, Z, X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.12/1.54 Z, Y, X ), X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y, X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.12/1.54 , ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X ), X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.54 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z, X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.12/1.54 , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X
% 1.12/1.54 ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, X )
% 1.12/1.54 , 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.12/1.54 , X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.12/1.54 Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.12/1.54 'c_0', Y, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( Y
% 1.12/1.54 , 'c_1', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.12/1.54 , Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.12/1.54 Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.12/1.54 Y, 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'(
% 1.12/1.54 'c_1', Y, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.12/1.54 , Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.12/1.54 'c_0', Y, X ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.12/1.54 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.12/1.54 Y, X ), 'c_0', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.12/1.54 'c_times'( Y, Z, X ), Y, X ), Z ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.12/1.54 Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.12/1.54 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.12/1.54 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.12/1.54 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.12/1.54 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.12/1.54 'c_times'( Z, Y, X ), Y, X ), Z ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.12/1.54 'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.12/1.54 'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.12/1.54 ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.12/1.54 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.12/1.54 , X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y, 'c_uminus'(
% 1.12/1.54 Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.12/1.54 'c_0', Y, X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.12/1.54 Y, 'c_0', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.12/1.54 'c_lessequals'( 'c_1', 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.12/1.54 'c_1', 'c_0', X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 'c_1'
% 1.12/1.54 , Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1',
% 1.12/1.54 'c_0', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z, X
% 1.12/1.54 ) ) ), =( Y, Z ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_1',
% 1.12/1.54 'c_0' ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_less'( 'c_0'
% 1.12/1.54 , 'c_1', X ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.12/1.54 Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_divide'(
% 1.12/1.54 Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y
% 1.12/1.54 , Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y,
% 1.12/1.54 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.12/1.54 'c_divide'( Z, Y, X ), Y, X ), Z ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 'c_divide'(
% 1.12/1.54 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y,
% 1.12/1.54 'c_divide'( Z, Y, X ), X ), Z ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 'c_divide'(
% 1.12/1.54 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.12/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.54 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'(
% 1.12/1.54 'c_1', 'c_0', X ) ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.55 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.55 , 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.55 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.12/1.55 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.12/1.55 'c_0', 'c_1', X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.55 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.12/1.55 'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.55 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.12/1.55 ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.12/1.55 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ),
% 1.12/1.55 'c_SetInterval_OlessThan'( Y, X ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.12/1.55 'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ),
% 1.12/1.55 'c_SetInterval_OgreaterThan'( Y, X ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.12/1.55 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ),
% 1.12/1.55 'c_SetInterval_OatMost'( Y, X ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.12/1.55 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.12/1.55 'c_SetInterval_OatLeast'( Y, X ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), =(
% 1.12/1.55 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), ~(
% 1.12/1.55 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastAtMost'( T
% 1.12/1.55 , Z, X ), X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_SetInterval_OatLeastAtMost'(
% 1.12/1.55 Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.12/1.55 =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.12/1.55 , X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.12/1.55 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastLessThan'(
% 1.12/1.55 T, Z, X ), X ) ],
% 1.12/1.55 [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 'tc_nat' ),
% 1.12/1.55 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ],
% 1.12/1.55 [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV' ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 1.12/1.55 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.12/1.55 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.12/1.55 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 1.12/1.55 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.12/1.55 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 1.12/1.55 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.12/1.55 [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 'c_0',
% 1.12/1.55 'c_emptyset', 'tc_nat' ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 1.12/1.55 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.12/1.55 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.12/1.55 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 1.12/1.55 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.12/1.55 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 1.12/1.55 Z, X ), 'tc_set'( X ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.12/1.55 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.12/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'(
% 1.12/1.55 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.12/1.55 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.12/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.12/1.55 , 'tc_IntDef_Oint' ) ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.12/1.55 'tc_nat' ), 'c_Suc'( X ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.12/1.55 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.12/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.12/1.55 , 'tc_IntDef_Oint' ) ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.12/1.55 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.12/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y,
% 1.12/1.55 'c_plus'( X, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.12/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.12/1.55 'tc_nat' ), X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.12/1.55 =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y,
% 1.12/1.55 T, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.12/1.55 'c_lessequals'( Z, T, X ) ), 'c_in'( Z,
% 1.12/1.55 'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.12/1.55 'c_less'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OgreaterThanLessThan'( T
% 1.12/1.55 , Z, X ), X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.12/1.55 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.12/1.55 ) ) ), =( Y, Z ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.12/1.55 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.12/1.55 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.12/1.55 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.55 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 1.12/1.55 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.55 , =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ),
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ),
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.12/1.55 'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.12/1.55 'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.55 , 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ),
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.55 , ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'(
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( U, Y, X ),
% 1.12/1.55 'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.12/1.55 [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 1.12/1.55 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.12/1.55 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.12/1.55 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.12/1.55 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 1.12/1.55 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.55 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 1.12/1.55 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 'c_insert'( Y,
% 1.12/1.55 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.12/1.55 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.12/1.55 [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.12/1.55 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ],
% 1.12/1.55 [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 'c_union'(
% 1.12/1.55 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' ) ],
% 1.12/1.55 [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 'c_inter'(
% 1.12/1.55 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 'c_emptyset' ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 'c_emptyset' ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' ) ],
% 1.12/1.55 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.12/1.55 ), =( X, Z ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 1.12/1.55 Z ) ) ],
% 1.12/1.55 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 1.12/1.55 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 1.12/1.55 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.12/1.55 'c_inter'( X, Y, Z ) ) ],
% 1.12/1.55 [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.12/1.55 [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.12/1.55 [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_emptyset' )
% 1.12/1.55 ],
% 1.12/1.55 [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ],
% 1.12/1.55 [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ),
% 1.12/1.55 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( X, Y,
% 1.12/1.55 'tc_set'( Z ) ), 'c_emptyset' ) ],
% 1.12/1.55 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 'tc_set'( Z ) ),
% 1.12/1.55 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.12/1.55 , Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.12/1.55 , 'tc_set'( Z ) ), Z ) ],
% 1.12/1.55 [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z ), 'tc_set'( Z
% 1.12/1.55 ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ],
% 1.12/1.55 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ],
% 1.12/1.55 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV' ) ],
% 1.12/1.55 [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.12/1.55 [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ],
% 1.12/1.55 [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ],
% 1.12/1.55 [ =( 'c_inter'( X, X, Y ), X ) ],
% 1.12/1.55 [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.12/1.55 [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 1.12/1.55 T, Y, Z ), Z ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.12/1.55 'c_lessequals'( X, Y, 'tc_set'( T ) ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.12/1.55 'c_lessequals'( X, Z, 'tc_set'( T ) ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T,
% 1.12/1.55 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T, Y, Z ), 'tc_set'( Z )
% 1.12/1.55 ) ],
% 1.12/1.55 [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z ), 'c_UNIV'
% 1.12/1.55 ) ), =( X, 'c_UNIV' ) ],
% 1.12/1.55 [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.12/1.55 , =( 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.12/1.55 [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.12/1.55 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 'c_Inter'( Y, Z )
% 1.12/1.55 ) ), =( X, 'c_UNIV' ) ],
% 1.12/1.55 [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.12/1.55 , =( 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.12/1.55 [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.12/1.55 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.12/1.55 [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.12/1.55 ) ), 'c_in'( T, X, Z ) ],
% 1.12/1.55 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInter__iff__1'( X
% 1.12/1.55 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.12/1.55 'c_Inter'( Y, Z ), Z ) ],
% 1.12/1.55 [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_inter'( X,
% 1.12/1.55 'c_Inter'( Y, Z ), Z ) ) ],
% 1.12/1.55 [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( X, Z ),
% 1.12/1.55 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ],
% 1.12/1.55 [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.12/1.55 [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 'c_emptyset'
% 1.12/1.55 , 'tc_set'( X ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.12/1.55 , 'tc_set'( Z ) ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.12/1.55 , 'tc_set'( Z ) ) ],
% 1.12/1.55 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.12/1.55 [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X,
% 1.12/1.55 Y, Z ) ) ],
% 1.12/1.55 [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.12/1.55 Y, Z ) ) ],
% 1.12/1.55 [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.12/1.55 [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ],
% 1.12/1.55 [ =( 'c_union'( X, X, Y ), X ) ],
% 1.12/1.55 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.12/1.55 [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 1.12/1.55 [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 1.12/1.55 X, Y, T ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.12/1.55 [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'(
% 1.12/1.55 Y, T, Z ), Z ) ) ],
% 1.12/1.55 [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( Y, 'c_union'(
% 1.12/1.55 X, Z, T ), T ) ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.12/1.55 'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.12/1.55 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y,
% 1.12/1.55 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.12/1.55 ) ],
% 1.12/1.55 [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ],
% 1.12/1.55 [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.12/1.55 [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'(
% 1.12/1.55 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ],
% 1.12/1.55 [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z ),
% 1.12/1.55 'c_emptyset' ) ), =( X, 'c_emptyset' ) ],
% 1.12/1.55 [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.12/1.55 =( 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.12/1.55 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.12/1.55 'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.12/1.55 'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.12/1.55 , 'c_Union'( T, Z ), Z ) ],
% 1.12/1.55 [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.12/1.55 'c_Union'( Y, Z ), Z ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), =( X,
% 1.12/1.55 'c_emptyset' ) ],
% 1.12/1.55 [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y ), X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X, T, Z ), Z )
% 1.12/1.55 , 'c_emptyset' ) ) ],
% 1.12/1.55 [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 'c_emptyset' ) ), =(
% 1.12/1.55 'c_inter'( X, Z, T ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, X, Z ), =(
% 1.12/1.55 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y, 'c_insert'(
% 1.12/1.55 X, T, Z ), Z ) ) ) ],
% 1.12/1.55 [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), T ) ) ), =(
% 1.12/1.55 'c_emptyset', 'c_inter'( X, Z, T ) ) ],
% 1.12/1.55 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, X, Z ), =(
% 1.12/1.55 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ],
% 1.12/1.55 [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( Y ) ), X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 'c_Union'( Y,
% 1.12/1.55 Z ) ) ), =( X, 'c_emptyset' ) ],
% 1.12/1.55 [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.12/1.55 =( 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.12/1.55 [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.12/1.55 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.12/1.55 [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z ), Y,
% 1.12/1.55 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ],
% 1.12/1.55 [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset', Z ),
% 1.12/1.55 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ],
% 1.12/1.55 [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( X, Y, Z ) )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T, Z ), Y, Z )
% 1.12/1.55 , 'c_emptyset' ) ) ],
% 1.12/1.55 [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 'c_emptyset' ) ), =(
% 1.12/1.55 'c_inter'( Y, T, Z ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, Y, Z ), =(
% 1.12/1.55 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X,
% 1.12/1.55 T, Z ), Y, Z ) ) ) ],
% 1.12/1.55 [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ) ) ), =(
% 1.12/1.55 'c_emptyset', 'c_inter'( Y, T, Z ) ) ],
% 1.12/1.55 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, Y, Z ), =(
% 1.12/1.55 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.12/1.55 ) ],
% 1.12/1.55 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.12/1.55 [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z ), Z ),
% 1.12/1.55 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ],
% 1.12/1.55 [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'(
% 1.12/1.55 X, T, Z ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.12/1.55 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ),
% 1.12/1.55 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.12/1.55 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.12/1.55 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 1.12/1.55 Z, X ) ],
% 1.12/1.55 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 1.12/1.55 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.12/1.55 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.12/1.55 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 1.12/1.55 X, T ) ],
% 1.12/1.55 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 1.12/1.55 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.12/1.55 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.12/1.55 [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ],
% 1.12/1.55 [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), =( X,
% 1.12/1.55 'c_emptyset' ) ],
% 1.12/1.55 [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X ) ) ],
% 1.12/1.55 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.12/1.55 , =( X, T ) ],
% 1.12/1.55 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.12/1.55 , =( X, T ) ],
% 1.12/1.55 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.12/1.55 ],
% 1.12/1.55 [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.12/1.55 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 1.12/1.55 Y ), 'c_UNIV' ) ],
% 1.12/1.55 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.12/1.55 ), 'c_UNIV' ) ],
% 1.12/1.55 [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.12/1.55 'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.12/1.55 X, Y ) ) ],
% 1.12/1.55 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ),
% 1.12/1.55 'c_Relation_OId' ) ],
% 1.12/1.55 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.12/1.55 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.12/1.55 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.12/1.55 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.12/1.55 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.12/1.55 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.12/1.55 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.12/1.55 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.12/1.55 [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 'c_emptyset' )
% 1.12/1.55 ],
% 1.12/1.55 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.12/1.55 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.12/1.55 [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.12/1.55 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 1.12/1.55 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.12/1.55 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.12/1.55 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 1.12/1.55 T, Z ) ],
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.12/1.55 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.12/1.55 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.12/1.55 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 1.12/1.55 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.12/1.55 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.12/1.55 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.12/1.55 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.12/1.55 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.12/1.55 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 1.12/1.55 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.12/1.55 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, Z
% 1.12/1.55 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 1.12/1.55 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.12/1.55 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.12/1.55 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 1.12/1.55 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 1.12/1.55 'tc_nat' ) ) ],
% 1.12/1.55 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.12/1.55 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.12/1.55 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.12/1.55 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.12/1.55 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 1.12/1.55 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 1.12/1.55 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 1.12/1.55 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.12/1.55 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.12/1.55 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.12/1.55 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.12/1.55 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.12/1.55 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 1.12/1.55 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 1.12/1.55 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.12/1.55 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.12/1.55 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.12/1.55 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.12/1.55 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.12/1.55 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.12/1.55 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.12/1.55 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.12/1.55 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.12/1.55 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.12/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.12/1.55 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.12/1.55 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.12/1.55 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.12/1.55 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.12/1.55 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.12/1.55 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.12/1.55 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.12/1.55 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.12/1.55 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.12/1.55 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.12/1.55 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 1.12/1.55 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 1.12/1.55 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 1.12/1.55 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.12/1.55 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.12/1.55 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 1.12/1.55 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.12/1.55 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 1.12/1.55 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.12/1.55 ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 1.12/1.55 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.12/1.55 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.12/1.55 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.12/1.55 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.12/1.55 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 1.12/1.55 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.12/1.55 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 1.12/1.55 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.12/1.55 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 1.12/1.55 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 1.12/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 1.12/1.55 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.12/1.55 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.12/1.55 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.12/1.55 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.12/1.55 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 1.12/1.55 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.12/1.55 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.12/1.55 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.12/1.55 , 'tc_set'( Y ) ) ],
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.12/1.55 ) ), X, 'tc_nat' ) ],
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.12/1.55 ) ), Y, 'tc_nat' ) ],
% 1.12/1.55 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 1.12/1.55 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.12/1.55 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.12/1.55 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.12/1.55 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.12/1.55 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.12/1.55 'tc_IntDef_Oint' ) ],
% 1.12/1.55 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 1.12/1.55 'tc_IntDef_Oint' ) ],
% 1.12/1.55 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.12/1.55 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.12/1.55 ) ) ],
% 1.12/1.55 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.12/1.55 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.12/1.55 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.12/1.55 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 1.12/1.55 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 1.12/1.55 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.12/1.55 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 1.12/1.55 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.12/1.55 'tc_nat' ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.12/1.55 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.12/1.55 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 1.12/1.55 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 1.12/1.55 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.12/1.55 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.12/1.55 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.12/1.55 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 1.12/1.55 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.12/1.55 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.12/1.55 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.12/1.55 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.12/1.55 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 1.12/1.55 'tc_prod'( Z, Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.12/1.55 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.12/1.55 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 1.12/1.55 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 1.12/1.55 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.12/1.55 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.12/1.55 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.12/1.55 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 1.12/1.55 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.12/1.55 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.12/1.55 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.12/1.55 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.12/1.55 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 1.12/1.55 'tc_prod'( T, T ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.12/1.55 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.12/1.55 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.12/1.55 'c_List_Olist_ONil' ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.12/1.55 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.12/1.55 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.12/1.55 'c_List_Olist_ONil' ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.12/1.55 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.12/1.55 'tc_List_Olist'( Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.12/1.55 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 1.12/1.55 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 1.12/1.55 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 1.12/1.55 Y ) ) ],
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.12/1.55 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 1.12/1.55 Y ) ) ],
% 1.12/1.55 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.12/1.55 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.12/1.55 ) ) ],
% 1.12/1.55 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.12/1.55 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.12/1.55 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.12/1.55 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.12/1.55 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 1.12/1.55 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.12/1.55 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.12/1.55 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 1.12/1.55 T, U ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 1.12/1.55 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 1.12/1.55 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.12/1.55 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.12/1.55 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 1.12/1.55 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.12/1.55 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 1.12/1.55 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.12/1.55 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.12/1.55 , Z, Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 1.12/1.55 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.12/1.55 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 1.12/1.55 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.12/1.55 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 1.12/1.55 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.12/1.55 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.12/1.55 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.12/1.55 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.12/1.55 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.12/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 1.12/1.55 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.12/1.55 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 1.12/1.55 T ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 1.12/1.55 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.12/1.55 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 1.12/1.55 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.12/1.55 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.12/1.55 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 1.12/1.55 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.12/1.55 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 1.12/1.55 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.12/1.55 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.12/1.55 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.12/1.55 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.12/1.55 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 1.12/1.55 Z ), Y, 'tc_set'( Z ) ) ],
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% 1.12/1.55 Z ) ), =( X, Y ) ],
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% 1.12/1.55 ],
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% 1.12/1.55 ],
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% 1.12/1.55 ) ],
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% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
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% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
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% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.12/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
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% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_HOL_Ominus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_HOL_Ominus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
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% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_HOL_Ominus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
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% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_HOL_Ominus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_Orderings_Olinorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_HOL_Ominus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.55 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.55 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.55 , 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.55 , 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.55 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.55 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.55 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.55 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.55 , 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.12/1.55 'class_HOL_Oone'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.12/1.55 'class_HOL_Ominus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 1.12/1.55 ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
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% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.12/1.55 X ) ],
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% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Orderings_Olinorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ofield'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_HOL_Oinverse'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oidom'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Orderings_Olinorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 1.12/1.55 ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Orderings_Olinorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oidom'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Orderings_Olinorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_HOL_Ominus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Orderings_Olinorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_Orderings_Olinorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_LOrder_Olorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
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% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
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% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
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% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
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% 1.12/1.55 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
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% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
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% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_HOL_Ominus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
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% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 1.12/1.55 X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_Orderings_Oorder'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_Orderings_Oord'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Otimes'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Oplus'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_HOL_Ozero'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.12/1.55 ,
% 1.12/1.55 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.12/1.55 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.12/1.56 ,
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 1.12/1.56 ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 1.12/1.56 ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 1.12/1.56 ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 1.12/1.56 ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_HOL_Otimes'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_HOL_Oplus'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_HOL_Ozero'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 1.12/1.56 ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 1.12/1.56 ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 1.12/1.56 ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 1.12/1.56 ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_HOL_Oone'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_HOL_Otimes'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_HOL_Ozero'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_HOL_Oplus'( X ) ],
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.12/1.56 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.12/1.56 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.12/1.56 'class_Orderings_Oord'( X ) ],
% 1.12/1.56 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.12/1.56 'class_Orderings_Oorder'( X ) ],
% 1.12/1.56 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.12/1.56 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.12/1.56 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.12/1.56 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.12/1.56 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.12/1.56 'class_LOrder_Olorder'( X ) ],
% 1.12/1.56 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.12/1.56 'class_Orderings_Olinorder'( X ) ],
% 1.12/1.56 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 1.12/1.56 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X ), X ) ) ]
% 1.12/1.56 ,
% 1.12/1.56 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 'c_times'( Y,
% 1.12/1.56 Z, X ), 'c_times'( Z, Y, X ) ) ],
% 1.12/1.56 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 'c_times'( Y,
% 1.12/1.56 'c_times'( Z, T, X ), X ), 'c_times'( Z, 'c_times'( Y, T, X ), X ) ) ]
% 1.12/1.56 ,
% 1.12/1.56 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 1.12/1.56 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 1.12/1.56 'c_lessequals'( 'c_times'( T, Y, X ), 'c_times'( T, Z, X ), X ) ],
% 1.12/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.12/1.56 'c_SetsAndFunctions_Oelt__set__times'( 'c_1', Y, X ), Y ) ],
% 1.12/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.56 'c_SetsAndFunctions_Oelt__set__plus'( 'c_0', Y, X ), Y ) ],
% 1.12/1.56 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ), 'c_times'(
% 1.12/1.56 'v_c', 'c_HOL_Oabs'( 'v_g'( 'v_x' ), 't_b' ), 't_b' ), 't_b' ) ],
% 1.12/1.56 [ ~( 'c_lessequals'( 'c_times'( 'c_HOL_Oabs'( 'v_b'( 'v_x' ), 't_b' ),
% 1.12/1.56 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 't_b' ), 'c_times'( 'v_c',
% 1.12/1.56 'c_times'( 'c_HOL_Oabs'( 'v_f'( 'v_x' ), 't_b' ), 'c_HOL_Oabs'( 'v_g'(
% 1.12/1.56 'v_x' ), 't_b' ), 't_b' ), 't_b' ), 't_b' ) ) ],
% 1.12/1.56 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ]
% 1.12/1.56 ] .
% 1.12/1.56
% 1.12/1.56
% 1.12/1.56 percentage equality = 0.208272, percentage horn = 0.911023
% 1.12/1.56 This is a problem with some equality
% 1.12/1.56
% 1.12/1.56
% 1.12/1.56
% 1.12/1.56 Options Used:
% 1.12/1.56
% 1.12/1.56 useres = 1
% 1.12/1.56 useparamod = 1
% 1.12/1.56 useeqrefl = 1
% 1.12/1.56 useeqfact = 1
% 1.12/1.56 usefactor = 1
% 1.12/1.56 usesimpsplitting = 0
% 1.12/1.56 usesimpdemod = 5
% 1.12/1.56 usesimpres = 3
% 1.12/1.56
% 1.12/1.56 resimpinuse = 1000
% 1.12/1.56 resimpclauses = 20000
% 1.12/1.56 substype = eqrewr
% 1.12/1.56 backwardsubs = 1
% 1.12/1.56 selectoldest = 5
% 1.12/1.56
% 1.12/1.56 litorderings [0] = split
% 1.12/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 1.12/1.56
% 1.12/1.56 termordering = kbo
% 1.12/1.56
% 1.12/1.56 litapriori = 0
% 1.12/1.56 termapriori = 1
% 1.12/1.56 litaposteriori = 0
% 1.12/1.56 termaposteriori = 0
% 1.12/1.56 demodaposteriori = 0
% 1.12/1.56 ordereqreflfact = 0
% 1.12/1.56
% 1.12/1.56 litselect = negord
% 1.12/1.56
% 1.12/1.56 maxweight = 15
% 1.12/1.56 maxdepth = 30000
% 1.12/1.56 maxlength = 115
% 1.12/1.56 maxnrvars = 195
% 1.12/1.56 excuselevel = 1
% 1.12/1.56 increasemaxweight = 1
% 1.12/1.56
% 1.12/1.56 maxselected = 10000000
% 1.12/1.56 maxnrclauses = 10000000
% 1.12/1.56
% 1.12/1.56 showgenerated = 0
% 1.12/1.56 showkept = 0
% 1.12/1.56 showselected = 0
% 1.12/1.56 showdeleted = 0
% 1.12/1.56 showresimp = 1
% 1.12/1.56 showstatus = 2000
% 1.12/1.56
% 1.12/1.56 prologoutput = 1
% 1.12/1.56 nrgoals = 5000000
% 1.12/1.56 totalproof = 1
% 1.12/1.56
% 1.12/1.56 Symbols occurring in the translation:
% 1.12/1.56
% 1.12/1.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.12/1.56 . [1, 2] (w:1, o:239, a:1, s:1, b:0),
% 1.12/1.56 ! [4, 1] (w:0, o:144, a:1, s:1, b:0),
% 1.12/1.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.12/1.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.12/1.56 'class_HOL_Oplus' [40, 1] (w:1, o:150, a:1, s:1, b:0),
% 1.12/1.56 'c_in' [43, 3] (w:1, o:341, a:1, s:1, b:0),
% 1.12/1.56 'c_plus' [45, 3] (w:1, o:342, a:1, s:1, b:0),
% 1.12/1.56 'c_SetsAndFunctions_Oelt__set__plus' [46, 3] (w:1, o:346, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'tc_set' [48, 1] (w:1, o:151, a:1, s:1, b:0),
% 1.12/1.56 'c_lessequals' [51, 3] (w:1, o:347, a:1, s:1, b:0),
% 1.12/1.56 'class_OrderedGroup_Ocomm__monoid__add' [52, 1] (w:1, o:155, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'class_HOL_Otimes' [53, 1] (w:1, o:156, a:1, s:1, b:0),
% 1.12/1.56 'c_times' [54, 3] (w:1, o:349, a:1, s:1, b:0),
% 1.12/1.56 'c_SetsAndFunctions_Oelt__set__times' [55, 3] (w:1, o:350, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'class_OrderedGroup_Ocomm__monoid__mult' [56, 1] (w:1, o:157, a:1, s:
% 1.12/1.56 1, b:0),
% 1.12/1.56 'tc_fun' [59, 2] (w:1, o:264, a:1, s:1, b:0),
% 1.12/1.56 'class_OrderedGroup_Ocancel__semigroup__add' [60, 1] (w:1, o:158, a:1
% 1.12/1.56 , s:1, b:0),
% 1.12/1.56 'class_OrderedGroup_Oab__group__add' [61, 1] (w:1, o:159, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'class_OrderedGroup_Ocancel__ab__semigroup__add' [62, 1] (w:1, o:160
% 1.12/1.56 , a:1, s:1, b:0),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__mult' [63, 1] (w:1, o:161, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'class_OrderedGroup_Oab__semigroup__mult' [64, 1] (w:1, o:162, a:1
% 1.12/1.56 , s:1, b:0),
% 1.12/1.56 'class_OrderedGroup_Omonoid__mult' [65, 1] (w:1, o:167, a:1, s:1, b:0
% 1.12/1.56 ),
% 1.12/1.56 'class_Ring__and__Field_Osemiring' [66, 1] (w:1, o:170, a:1, s:1, b:0
% 1.12/1.56 ),
% 1.12/1.56 'class_Ring__and__Field_Ocomm__ring__1' [67, 1] (w:1, o:171, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'class_Ring__and__Field_Ocomm__semiring' [68, 1] (w:1, o:173, a:1, s:
% 1.12/1.56 1, b:0),
% 1.12/1.56 'class_Ring__and__Field_Osemiring__0' [69, 1] (w:1, o:174, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'class_Ring__and__Field_Ocomm__semiring__0' [70, 1] (w:1, o:175, a:1
% 1.12/1.56 , s:1, b:0),
% 1.12/1.56 'class_Ring__and__Field_Osemiring__0__cancel' [71, 1] (w:1, o:176, a:
% 1.12/1.56 1, s:1, b:0),
% 1.12/1.56 'class_Ring__and__Field_Oring' [72, 1] (w:1, o:168, a:1, s:1, b:0),
% 1.12/1.56 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [73, 1] (w:1, o:
% 1.12/1.56 177, a:1, s:1, b:0),
% 1.12/1.56 'class_Ring__and__Field_Ocomm__ring' [74, 1] (w:1, o:172, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'class_Ring__and__Field_Oaxclass__0__neq__1' [75, 1] (w:1, o:178, a:1
% 1.12/1.56 , s:1, b:0),
% 1.12/1.56 'class_Ring__and__Field_Osemiring__1' [76, 1] (w:1, o:179, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'class_Ring__and__Field_Ocomm__semiring__1' [77, 1] (w:1, o:180, a:1
% 1.12/1.56 , s:1, b:0),
% 1.12/1.56 'class_Ring__and__Field_Osemiring__1__cancel' [78, 1] (w:1, o:181, a:
% 1.12/1.56 1, s:1, b:0),
% 1.12/1.56 'class_Ring__and__Field_Oring__1' [79, 1] (w:1, o:169, a:1, s:1, b:0)
% 1.12/1.56 ,
% 1.12/1.56 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [80, 1] (w:1, o:
% 1.12/1.56 182, a:1, s:1, b:0),
% 1.12/1.56 'class_HOL_Ominus' [81, 1] (w:1, o:183, a:1, s:1, b:0),
% 1.12/1.56 'class_HOL_Ozero' [82, 1] (w:1, o:184, a:1, s:1, b:0),
% 1.12/1.56 'class_HOL_Oone' [83, 1] (w:1, o:149, a:1, s:1, b:0),
% 1.12/1.56 'class_OrderedGroup_Osemigroup__add' [84, 1] (w:1, o:185, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'class_OrderedGroup_Oab__semigroup__add' [85, 1] (w:1, o:186, a:1, s:
% 1.12/1.56 1, b:0),
% 1.12/1.56 'c_0' [86, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.12/1.56 'c_Suc' [88, 1] (w:1, o:187, a:1, s:1, b:0),
% 1.12/1.56 'c_Binomial_Obinomial' [89, 2] (w:1, o:265, a:1, s:1, b:0),
% 1.12/1.56 'tc_nat' [92, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.12/1.56 'c_1' [93, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype_Oo2s' [96, 2] (w:1, o:266, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype_Ooption_OSome' [97, 2] (w:1, o:267, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype_Ooption_ONone' [98, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.12/1.56 'c_Main_Onot__None__eq__1' [99, 2] (w:1, o:288, a:1, s:1, b:0),
% 1.12/1.56 'c_Main_Onot__Some__eq__1' [100, 2] (w:1, o:289, a:1, s:1, b:0),
% 1.12/1.56 'c_emptyset' [102, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.12/1.56 'c_insert' [103, 3] (w:1, o:351, a:1, s:1, b:0),
% 1.12/1.56 'tc_Datatype_Ooption' [105, 1] (w:1, o:188, a:1, s:1, b:0),
% 1.12/1.56 'c_Nat_Osize' [106, 2] (w:1, o:302, a:1, s:1, b:0),
% 1.12/1.56 'c_Pair' [108, 4] (w:1, o:407, a:1, s:1, b:0),
% 1.12/1.56 'tc_prod' [109, 2] (w:1, o:303, a:1, s:1, b:0),
% 1.12/1.56 'c_Sum__Type_OInl' [110, 3] (w:1, o:352, a:1, s:1, b:0),
% 1.12/1.56 'tc_sum' [111, 2] (w:1, o:304, a:1, s:1, b:0),
% 1.12/1.56 'c_Sum__Type_OInr' [112, 3] (w:1, o:353, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype_Othe' [113, 2] (w:1, o:305, a:1, s:1, b:0),
% 1.12/1.56 'c_Product__Type_OUnity' [114, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype_Ounit_Ounit__case' [115, 3] (w:1, o:354, a:1, s:1, b:0),
% 1.12/1.56
% 1.12/1.56 'c_Datatype_Ounit_Ounit__rec' [116, 3] (w:1, o:355, a:1, s:1, b:0),
% 1.12/1.56 'tc_Product__Type_Ounit' [117, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_OAtom' [118, 3] (w:1, o:356, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_OScons' [121, 4] (w:1, o:408, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_Odprod' [124, 4] (w:1, o:409, a:1, s:1, b:0),
% 1.12/1.56 'tc_Datatype__Universe_Onode' [125, 2] (w:1, o:306, a:1, s:1, b:0),
% 1.12/1.56 'c_Relation_ODomain' [126, 3] (w:1, o:343, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_Ouprod' [127, 4] (w:1, o:410, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_Odsum' [128, 4] (w:1, o:411, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_Ousum' [129, 4] (w:1, o:412, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_OIn0' [130, 3] (w:1, o:357, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_OIn1' [131, 3] (w:1, o:358, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_OLeaf' [132, 3] (w:1, o:359, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_ONumb' [133, 3] (w:1, o:360, a:1, s:1, b:0),
% 1.12/1.56 'c_Datatype__Universe_Ontrunc' [136, 4] (w:1, o:413, a:1, s:1, b:0),
% 1.12/1.56
% 1.12/1.56 'c_div' [138, 3] (w:1, o:361, a:1, s:1, b:0),
% 1.12/1.56 'c_Divides_Oop_Amod' [139, 3] (w:1, o:362, a:1, s:1, b:0),
% 1.12/1.56 'c_less' [141, 3] (w:1, o:363, a:1, s:1, b:0),
% 1.12/1.56 'c_Divides_Oop_Advd' [143, 3] (w:1, o:364, a:1, s:1, b:0),
% 1.12/1.56 'c_Equiv__Relations_Oquotient' [145, 3] (w:1, o:365, a:1, s:1, b:0),
% 1.12/1.56
% 1.12/1.56 'c_Extraction_Osumbool_OLeft' [147, 0] (w:1, o:77, a:1, s:1, b:0),
% 1.12/1.56 'c_Extraction_Osumbool_Osumbool__case' [148, 4] (w:1, o:414, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'c_Extraction_Osumbool_ORight' [150, 0] (w:1, o:78, a:1, s:1, b:0),
% 1.12/1.56 'c_Extraction_Osumbool_Osumbool__rec' [151, 4] (w:1, o:415, a:1, s:1
% 1.12/1.56 , b:0),
% 1.12/1.56 'tc_Extraction_Osumbool' [152, 0] (w:1, o:79, a:1, s:1, b:0),
% 1.12/1.56 'class_Orderings_Olinorder' [153, 1] (w:1, o:189, a:1, s:1, b:0),
% 1.12/1.56 'c_Finite__Set_OFinites' [154, 0] (w:1, o:80, a:1, s:1, b:0),
% 1.12/1.56 'c_Finite__Set_OMax' [155, 2] (w:1, o:307, a:1, s:1, b:0),
% 1.12/1.56 'c_Orderings_Omax' [156, 3] (w:1, o:376, a:1, s:1, b:0),
% 1.12/1.56 'c_Main_OMax__le__iff__1' [158, 3] (w:1, o:392, a:1, s:1, b:0),
% 1.12/1.56 'c_Main_OMax__less__iff__1' [159, 3] (w:1, o:393, a:1, s:1, b:0),
% 1.12/1.56 'c_Finite__Set_OMin' [160, 2] (w:1, o:308, a:1, s:1, b:0),
% 1.12/1.56 'c_Main_OMin__ge__iff__1' [161, 3] (w:1, o:394, a:1, s:1, b:0),
% 1.12/1.56 'c_Main_OMin__gr__iff__1' [162, 3] (w:1, o:395, a:1, s:1, b:0),
% 1.12/1.56 'c_Orderings_Omin' [163, 3] (w:1, o:396, a:1, s:1, b:0),
% 1.12/1.56 'c_Finite__Set_Ocard' [164, 2] (w:1, o:309, a:1, s:1, b:0),
% 1.12/1.56 'c_minus' [167, 3] (w:1, o:397, a:1, s:1, b:0),
% 1.12/1.56 'c_Pow' [168, 2] (w:1, o:312, a:1, s:1, b:0),
% 1.12/1.56 'c_union' [170, 3] (w:1, o:398, a:1, s:1, b:0),
% 1.12/1.56 'c_Relation_Oconverse' [171, 3] (w:1, o:344, a:1, s:1, b:0),
% 1.12/1.56 'c_NatArith_Oof__nat' [172, 2] (w:1, o:313, a:1, s:1, b:0),
% 1.12/1.56 'c_Fun_Oid' [173, 2] (w:1, o:314, a:1, s:1, b:0),
% 1.12/1.56 'c_GCD_Ogcd' [174, 1] (w:1, o:190, a:1, s:1, b:0),
% 1.12/1.56 'c_UNIV' [175, 0] (w:1, o:83, a:1, s:1, b:0),
% 1.12/1.56 'class_Numeral_Onumber__ring' [176, 1] (w:1, o:152, a:1, s:1, b:0),
% 1.12/1.56 'class_Ring__and__Field_Oordered__idom' [177, 1] (w:1, o:191, a:1, s:
% 1.12/1.56 1, b:0),
% 1.12/1.56 'c_Numeral_OMin' [178, 0] (w:1, o:84, a:1, s:1, b:0),
% 1.12/1.56 'c_Numeral_Onumber__of' [179, 2] (w:1, o:315, a:1, s:1, b:0),
% 1.12/1.56 'c_HOL_Oabs' [180, 2] (w:1, o:316, a:1, s:1, b:0),
% 1.12/1.56 'class_Power_Orecpower' [181, 1] (w:1, o:199, a:1, s:1, b:0),
% 1.12/1.56 'c_Nat_Opower' [182, 3] (w:1, o:375, a:1, s:1, b:0),
% 1.12/1.56 'c_Numeral_OPls' [183, 0] (w:1, o:85, a:1, s:1, b:0),
% 1.16/1.57 'c_Numeral_Obin__minus' [184, 1] (w:1, o:200, a:1, s:1, b:0),
% 1.16/1.57 'c_Numeral_Obin__add' [185, 2] (w:1, o:317, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_Oneg' [186, 2] (w:1, o:319, a:1, s:1, b:0),
% 1.16/1.57 'c_Numeral_Obit_OB1' [187, 0] (w:1, o:87, a:1, s:1, b:0),
% 1.16/1.57 'c_Numeral_OBit' [188, 2] (w:1, o:320, a:1, s:1, b:0),
% 1.16/1.57 'c_Numeral_Obit_OB0' [189, 0] (w:1, o:86, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_Oiszero' [192, 2] (w:1, o:321, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_Oint' [193, 1] (w:1, o:201, a:1, s:1, b:0),
% 1.16/1.57 'tc_IntDef_Oint' [194, 0] (w:1, o:88, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_Onat' [195, 1] (w:1, o:202, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_Oof__int' [196, 2] (w:1, o:322, a:1, s:1, b:0),
% 1.16/1.57 'c_uminus' [198, 2] (w:1, o:323, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_OInteg' [199, 0] (w:1, o:92, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_OAbs__Integ' [200, 1] (w:1, o:203, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_ORep__Integ' [201, 1] (w:1, o:204, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_OInts' [202, 0] (w:1, o:93, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_ONats' [203, 0] (w:1, o:94, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDef_Ointrel' [204, 0] (w:1, o:95, a:1, s:1, b:0),
% 1.16/1.57 'c_Relation_OImage' [205, 4] (w:1, o:416, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDiv_OposDivAlg' [207, 1] (w:1, o:205, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDiv_OnegateSnd' [208, 1] (w:1, o:206, a:1, s:1, b:0),
% 1.16/1.57 'c_fst' [209, 3] (w:1, o:399, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDiv_OnegDivAlg' [210, 1] (w:1, o:207, a:1, s:1, b:0),
% 1.16/1.57 'c_snd' [211, 3] (w:1, o:348, a:1, s:1, b:0),
% 1.16/1.57 'c_IntDiv_Oadjust' [212, 2] (w:1, o:324, a:1, s:1, b:0),
% 1.16/1.57 'class_LOrder_Ojoin__semilorder' [215, 1] (w:1, o:208, a:1, s:1, b:0)
% 1.16/1.57 ,
% 1.16/1.57 'c_LOrder_Ojoin' [216, 3] (w:1, o:377, a:1, s:1, b:0),
% 1.16/1.57 'class_LOrder_Omeet__semilorder' [217, 1] (w:1, o:210, a:1, s:1, b:0)
% 1.16/1.57 ,
% 1.16/1.57 'c_LOrder_Omeet' [218, 3] (w:1, o:378, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olist_OCons' [220, 3] (w:1, o:379, a:1, s:1, b:0),
% 1.16/1.57 'tc_List_Olist' [222, 1] (w:1, o:211, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olex' [223, 2] (w:1, o:268, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olist_ONil' [224, 0] (w:1, o:96, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Oset' [226, 2] (w:1, o:272, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Oconcat' [227, 2] (w:1, o:274, a:1, s:1, b:0),
% 1.16/1.57 'c_Main_ONil__eq__concat__conv__1' [228, 2] (w:1, o:290, a:1, s:1, b:
% 1.16/1.57 0),
% 1.16/1.57 'c_append' [229, 3] (w:1, o:400, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Orev' [230, 2] (w:1, o:269, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Obutlast' [232, 2] (w:1, o:273, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olast' [233, 2] (w:1, o:275, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olists' [236, 2] (w:1, o:277, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Otake' [237, 3] (w:1, o:383, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Odrop' [238, 3] (w:1, o:384, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Ochar_OChar' [241, 2] (w:1, o:278, a:1, s:1, b:0),
% 1.16/1.57 'tc_List_Ochar' [244, 0] (w:1, o:102, a:1, s:1, b:0),
% 1.16/1.57 'c_Main_Oconcat__eq__Nil__conv__1' [245, 2] (w:1, o:291, a:1, s:1, b:
% 1.16/1.57 0),
% 1.16/1.57 'c_List_Orotate1' [246, 2] (w:1, o:270, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Odistinct' [247, 2] (w:1, o:279, a:1, s:1, b:0),
% 1.16/1.57 'c_inter' [248, 3] (w:1, o:401, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Oremove1' [249, 3] (w:1, o:385, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Orotate' [250, 3] (w:1, o:386, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Osublist' [252, 3] (w:1, o:381, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Oupt' [254, 2] (w:1, o:281, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Oreplicate' [255, 3] (w:1, o:380, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Ohd' [256, 2] (w:1, o:282, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Otl' [257, 2] (w:1, o:280, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Oitrev' [258, 3] (w:1, o:387, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olist__update' [260, 4] (w:1, o:417, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Oremdups' [261, 2] (w:1, o:271, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Ozip' [262, 4] (w:1, o:418, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olexn' [263, 3] (w:1, o:388, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olexord' [264, 2] (w:1, o:283, a:1, s:1, b:0),
% 1.16/1.57 'c_Main_Olexord__Nil__left__1' [265, 2] (w:1, o:292, a:1, s:1, b:0),
% 1.16/1.57
% 1.16/1.57 'c_Main_Olexord__Nil__left__2' [266, 2] (w:1, o:293, a:1, s:1, b:0),
% 1.16/1.57
% 1.16/1.57 'c_List_Olist__inter' [272, 3] (w:1, o:389, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onth' [273, 3] (w:1, o:390, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olistrel' [274, 2] (w:1, o:276, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Olistset' [275, 2] (w:1, o:284, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Oset__Cons' [277, 3] (w:1, o:382, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble9' [291, 0] (w:1, o:113, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_Onibble__case' [292, 18] (w:1, o:451, a:1, s:1, b:0)
% 1.16/1.57 ,
% 1.16/1.57 'c_List_Onibble_ONibbleA' [294, 0] (w:1, o:114, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibbleB' [295, 0] (w:1, o:115, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibbleC' [296, 0] (w:1, o:116, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibbleD' [297, 0] (w:1, o:117, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibbleE' [298, 0] (w:1, o:118, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibbleF' [299, 0] (w:1, o:119, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble0' [300, 0] (w:1, o:120, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble1' [301, 0] (w:1, o:121, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble2' [302, 0] (w:1, o:122, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble3' [303, 0] (w:1, o:123, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble4' [304, 0] (w:1, o:124, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble5' [305, 0] (w:1, o:125, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble6' [306, 0] (w:1, o:126, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble7' [307, 0] (w:1, o:127, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_ONibble8' [308, 0] (w:1, o:112, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onibble_Onibble__rec' [309, 18] (w:1, o:452, a:1, s:1, b:0),
% 1.16/1.57
% 1.16/1.57 'tc_List_Onibble' [310, 0] (w:1, o:128, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Onull' [311, 2] (w:1, o:285, a:1, s:1, b:0),
% 1.16/1.57 'c_List_Oop_Amem' [312, 3] (w:1, o:391, a:1, s:1, b:0),
% 1.16/1.57 'c_SetInterval_OlessThan' [314, 2] (w:1, o:327, a:1, s:1, b:0),
% 1.16/1.57 'c_Map_Omap__of' [317, 4] (w:1, o:419, a:1, s:1, b:0),
% 1.16/1.57 'class_Ring__and__Field_Oordered__semidom' [318, 1] (w:1, o:213, a:1
% 1.16/1.57 , s:1, b:0),
% 1.16/1.57 'c_Numeral_Obin__succ' [319, 1] (w:1, o:214, a:1, s:1, b:0),
% 1.16/1.57 'c_Numeral_Obin__mult' [321, 2] (w:1, o:328, a:1, s:1, b:0),
% 1.16/1.57 'class_Numeral_Onumber' [322, 1] (w:1, o:153, a:1, s:1, b:0),
% 1.16/1.57 'class_Ring__and__Field_Odivision__by__zero' [323, 1] (w:1, o:215, a:
% 1.16/1.57 1, s:1, b:0),
% 1.16/1.57 'class_Ring__and__Field_Ofield' [324, 1] (w:1, o:216, a:1, s:1, b:0)
% 1.16/1.57 ,
% 1.16/1.57 'c_divide' [325, 3] (w:1, o:402, a:1, s:1, b:0),
% 1.16/1.57 'class_Ring__and__Field_Oordered__field' [326, 1] (w:1, o:217, a:1
% 1.16/1.57 , s:1, b:0),
% 1.16/1.57 'c_HOL_Oinverse' [327, 2] (w:1, o:318, a:1, s:1, b:0),
% 1.16/1.57 'class_OrderedGroup_Opordered__ab__group__add' [328, 1] (w:1, o:193
% 1.16/1.57 , a:1, s:1, b:0),
% 1.16/1.57 'class_Ring__and__Field_Oordered__ring__strict' [329, 1] (w:1, o:212
% 1.16/1.57 , a:1, s:1, b:0),
% 1.16/1.57 'c_Numeral_Obin__pred' [330, 1] (w:1, o:218, a:1, s:1, b:0),
% 1.16/1.57 'c_Numeral_Obit_Obit__case' [331, 4] (w:1, o:432, a:1, s:1, b:0),
% 1.16/1.57 'c_Numeral_Obit_Obit__rec' [332, 4] (w:1, o:433, a:1, s:1, b:0),
% 1.16/1.57 'tc_Numeral_Obit' [333, 0] (w:1, o:130, a:1, s:1, b:0),
% 1.16/1.57 'class_OrderedGroup_Olordered__ab__group__abs' [334, 1] (w:1, o:163
% 1.16/1.57 , a:1, s:1, b:0),
% 1.16/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [335, 1]
% 1.16/1.57 (w:1, o:194, a:1, s:1, b:0),
% 1.16/1.57 'class_OrderedGroup_Olordered__ab__group' [336, 1] (w:1, o:164, a:1
% 1.16/1.57 , s:1, b:0),
% 1.16/1.57 'c_OrderedGroup_Onprt' [337, 2] (w:1, o:310, a:1, s:1, b:0),
% 1.16/1.57 'c_OrderedGroup_Opprt' [338, 2] (w:1, o:311, a:1, s:1, b:0),
% 1.16/1.57 'class_Orderings_Oorder' [339, 1] (w:1, o:195, a:1, s:1, b:0),
% 1.16/1.57 'c_Parity_Oeven' [340, 2] (w:1, o:329, a:1, s:1, b:0),
% 1.16/1.57 'c_Main_Osurj__pair__1' [342, 3] (w:1, o:366, a:1, s:1, b:0),
% 1.16/1.57 'c_Main_Osurj__pair__2' [343, 3] (w:1, o:367, a:1, s:1, b:0),
% 1.16/1.57 'c_Relation_OId' [344, 0] (w:1, o:131, a:1, s:1, b:0),
% 1.16/1.57 'c_Relation_Odiag' [345, 2] (w:1, o:325, a:1, s:1, b:0),
% 1.16/1.57 'c_Relation_Orel__comp' [346, 5] (w:1, o:436, a:1, s:1, b:0),
% 1.16/1.57 'c_Relation_ORange' [348, 3] (w:1, o:345, a:1, s:1, b:0),
% 1.16/1.57 'c_SetInterval_OatLeast' [349, 2] (w:1, o:330, a:1, s:1, b:0),
% 2.06/2.47 'c_SetInterval_OatMost' [350, 2] (w:1, o:331, a:1, s:1, b:0),
% 2.06/2.47 'c_SetInterval_OgreaterThan' [351, 2] (w:1, o:332, a:1, s:1, b:0),
% 2.06/2.47 'c_SetInterval_OatLeastAtMost' [352, 3] (w:1, o:403, a:1, s:1, b:0),
% 2.06/2.47
% 2.06/2.47 'class_Orderings_Oord' [353, 1] (w:1, o:196, a:1, s:1, b:0),
% 2.06/2.47 'c_SetInterval_OatLeastLessThan' [354, 3] (w:1, o:404, a:1, s:1, b:0)
% 2.06/2.47 ,
% 2.06/2.47 'c_SetInterval_OgreaterThanAtMost' [355, 3] (w:1, o:405, a:1, s:1, b:
% 2.06/2.47 0),
% 2.06/2.47 'c_SetInterval_OgreaterThanLessThan' [356, 3] (w:1, o:406, a:1, s:1
% 2.06/2.47 , b:0),
% 2.06/2.47 'c_Inter' [357, 2] (w:1, o:333, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OInter__UNIV__conv__1__1' [358, 2] (w:1, o:294, a:1, s:1, b:0
% 2.06/2.47 ),
% 2.06/2.47 'c_Main_OInter__UNIV__conv__2__1' [359, 2] (w:1, o:295, a:1, s:1, b:0
% 2.06/2.47 ),
% 2.06/2.47 'c_Main_OInter__iff__1' [360, 3] (w:1, o:368, a:1, s:1, b:0),
% 2.06/2.47 'c_Union' [361, 2] (w:1, o:336, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OUnion__empty__conv__1' [362, 2] (w:1, o:296, a:1, s:1, b:0)
% 2.06/2.47 ,
% 2.06/2.47 'c_Main_OUnion__iff__1' [363, 3] (w:1, o:369, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Oall__not__in__conv__1' [364, 2] (w:1, o:297, a:1, s:1, b:0)
% 2.06/2.47 ,
% 2.06/2.47 'c_Set_Ocontents' [365, 2] (w:1, o:337, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Oempty__Union__conv__1' [366, 2] (w:1, o:298, a:1, s:1, b:0)
% 2.06/2.47 ,
% 2.06/2.47 'c_Sum__Type_OPlus' [367, 4] (w:1, o:434, a:1, s:1, b:0),
% 2.06/2.47 'c_Transitive__Closure_Ortrancl' [368, 2] (w:1, o:334, a:1, s:1, b:0)
% 2.06/2.47 ,
% 2.06/2.47 'c_Transitive__Closure_Otrancl' [369, 2] (w:1, o:335, a:1, s:1, b:0)
% 2.06/2.47 ,
% 2.06/2.47 'c_Wellfounded__Recursion_Oacyclic' [370, 2] (w:1, o:338, a:1, s:1
% 2.06/2.47 , b:0),
% 2.06/2.47 'c_Wellfounded__Recursion_Owf' [371, 2] (w:1, o:339, a:1, s:1, b:0),
% 2.06/2.47
% 2.06/2.47 'c_Wellfounded__Relations_Oless__than' [372, 0] (w:1, o:133, a:1, s:1
% 2.06/2.47 , b:0),
% 2.06/2.47 'c_Main_OdprodE__1' [373, 5] (w:1, o:437, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OdprodE__2' [374, 5] (w:1, o:438, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OdprodE__3' [375, 5] (w:1, o:439, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OdprodE__4' [376, 5] (w:1, o:440, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OdsumE__1' [377, 4] (w:1, o:422, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OdsumE__2' [378, 4] (w:1, o:423, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OdsumE__3' [379, 4] (w:1, o:424, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OdsumE__4' [380, 4] (w:1, o:425, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OuprodE__1' [381, 5] (w:1, o:441, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OuprodE__2' [382, 5] (w:1, o:442, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OusumE__1' [383, 4] (w:1, o:426, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OusumE__2' [384, 4] (w:1, o:427, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Omod__eq__0D__dest__1' [386, 2] (w:1, o:287, a:1, s:1, b:0),
% 2.06/2.47
% 2.06/2.47 'c_Main_Ofinite__Union__1' [387, 2] (w:1, o:299, a:1, s:1, b:0),
% 2.06/2.47 'c_Infinite__Set_Oatmost__one' [389, 2] (w:1, o:340, a:1, s:1, b:0),
% 2.06/2.47
% 2.06/2.47 'c_Main_Ozmod__eq__0D__dest__1' [390, 2] (w:1, o:300, a:1, s:1, b:0)
% 2.06/2.47 ,
% 2.06/2.47 'c_Main_Oin__listsI__1' [391, 3] (w:1, o:370, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Olistrel__Cons1__1' [392, 5] (w:1, o:443, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Olistrel__Cons1__2' [393, 5] (w:1, o:444, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Olistrel__Cons2__1' [394, 5] (w:1, o:445, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Olistrel__Cons2__2' [395, 5] (w:1, o:446, a:1, s:1, b:0),
% 2.06/2.47 'c_List_Olenlex' [396, 2] (w:1, o:286, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_ODomainE__1' [397, 4] (w:1, o:428, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OIdE__1' [398, 2] (w:1, o:301, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OImageE__1' [399, 5] (w:1, o:447, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_ORangeE__1' [400, 4] (w:1, o:429, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OconverseE__1' [402, 4] (w:1, o:420, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OconverseE__2' [403, 4] (w:1, o:421, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OdiagE__1' [404, 3] (w:1, o:371, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Orel__compE__2' [407, 6] (w:1, o:449, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Orel__compE__3' [408, 6] (w:1, o:450, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_Orel__compE__1' [409, 6] (w:1, o:448, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OInterI__1' [410, 3] (w:1, o:372, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OUnionE__1' [411, 3] (w:1, o:373, a:1, s:1, b:0),
% 2.06/2.47 'c_Main_OsubsetI__1' [412, 3] (w:1, o:374, a:1, s:1, b:0),
% 10.16/10.57 'c_Main_OPlusE__1' [413, 4] (w:1, o:430, a:1, s:1, b:0),
% 10.16/10.57 'c_Main_OPlusE__2' [414, 4] (w:1, o:431, a:1, s:1, b:0),
% 10.16/10.57 'c_Relation_Otrans' [415, 2] (w:1, o:326, a:1, s:1, b:0),
% 10.16/10.57 'c_Wellfounded__Relations_Olex__prod' [418, 4] (w:1, o:435, a:1, s:1
% 10.16/10.57 , b:0),
% 10.16/10.57 'class_Finite__Set_Ofinite' [421, 1] (w:1, o:219, a:1, s:1, b:0),
% 10.16/10.57 'class_LOrder_Olorder' [422, 1] (w:1, o:209, a:1, s:1, b:0),
% 10.16/10.57 'class_OrderedGroup_Opordered__ab__semigroup__add' [423, 1] (w:1, o:
% 10.16/10.57 197, a:1, s:1, b:0),
% 10.16/10.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [424, 1]
% 10.16/10.57 (w:1, o:198, a:1, s:1, b:0),
% 10.16/10.57 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [425, 1]
% 10.16/10.57 (w:1, o:192, a:1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Opordered__semiring' [426, 1] (w:1, o:223, a:
% 10.16/10.57 1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Opordered__cancel__semiring' [427, 1] (w:1
% 10.16/10.57 , o:224, a:1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Oordered__semiring__strict' [428, 1] (w:1, o:
% 10.16/10.57 220, a:1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Opordered__comm__semiring' [429, 1] (w:1, o:
% 10.16/10.57 226, a:1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [430, 1]
% 10.16/10.57 (w:1, o:227, a:1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Oordered__comm__semiring__strict' [431, 1]
% 10.16/10.57 (w:1, o:221, a:1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Oaxclass__abs__if' [432, 1] (w:1, o:228, a:1
% 10.16/10.57 , s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Opordered__ring' [433, 1] (w:1, o:222, a:1
% 10.16/10.57 , s:1, b:0),
% 10.16/10.57 'class_OrderedGroup_Olordered__ab__group__meet' [434, 1] (w:1, o:165
% 10.16/10.57 , a:1, s:1, b:0),
% 10.16/10.57 'class_OrderedGroup_Olordered__ab__group__join' [435, 1] (w:1, o:166
% 10.16/10.57 , a:1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Olordered__ring' [436, 1] (w:1, o:229, a:1
% 10.16/10.57 , s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [437, 1] (w:1
% 10.16/10.57 , o:230, a:1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Oidom' [438, 1] (w:1, o:231, a:1, s:1, b:0),
% 10.16/10.57
% 10.16/10.57 'class_Divides_Odiv' [439, 1] (w:1, o:232, a:1, s:1, b:0),
% 10.16/10.57 'class_Nat_Opower' [440, 1] (w:1, o:154, a:1, s:1, b:0),
% 10.16/10.57 'class_Parity_Oeven__odd' [441, 1] (w:1, o:233, a:1, s:1, b:0),
% 10.16/10.57 'tc_bool' [442, 0] (w:1, o:139, a:1, s:1, b:0),
% 10.16/10.57 'class_Wellfounded__Recursion_Owellorder' [443, 1] (w:1, o:234, a:1
% 10.16/10.57 , s:1, b:0),
% 10.16/10.57 'class_HOL_Oinverse' [445, 1] (w:1, o:235, a:1, s:1, b:0),
% 10.16/10.57 'class_Ring__and__Field_Opordered__comm__ring' [446, 1] (w:1, o:225
% 10.16/10.57 , a:1, s:1, b:0),
% 10.16/10.57 'v_x' [447, 0] (w:1, o:141, a:1, s:1, b:0),
% 10.16/10.57 'v_b' [448, 1] (w:1, o:236, a:1, s:1, b:0),
% 10.16/10.57 't_b' [449, 0] (w:1, o:142, a:1, s:1, b:0),
% 10.16/10.57 'v_c' [450, 0] (w:1, o:143, a:1, s:1, b:0),
% 10.16/10.57 'v_g' [451, 1] (w:1, o:238, a:1, s:1, b:0),
% 10.16/10.57 'v_f' [452, 1] (w:1, o:237, a:1, s:1, b:0).
% 10.16/10.57
% 10.16/10.57
% 10.16/10.57 Starting Search:
% 10.16/10.57
% 10.16/10.57
% 10.16/10.57 Intermediate Status:
% 10.16/10.57 Generated: 3128
% 10.16/10.57 Kept: 2813
% 10.16/10.57 Inuse: 0
% 10.16/10.57 Deleted: 0
% 10.16/10.57 Deletedinuse: 0
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57
% 10.16/10.57 Intermediate Status:
% 10.16/10.57 Generated: 6817
% 10.16/10.57 Kept: 4898
% 10.16/10.57 Inuse: 335
% 10.16/10.57 Deleted: 6
% 10.16/10.57 Deletedinuse: 0
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57
% 10.16/10.57 Intermediate Status:
% 10.16/10.57 Generated: 13695
% 10.16/10.57 Kept: 6972
% 10.16/10.57 Inuse: 440
% 10.16/10.57 Deleted: 7
% 10.16/10.57 Deletedinuse: 1
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57
% 10.16/10.57 Intermediate Status:
% 10.16/10.57 Generated: 19978
% 10.16/10.57 Kept: 9347
% 10.16/10.57 Inuse: 639
% 10.16/10.57 Deleted: 13
% 10.16/10.57 Deletedinuse: 1
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57
% 10.16/10.57 Intermediate Status:
% 10.16/10.57 Generated: 24782
% 10.16/10.57 Kept: 11505
% 10.16/10.57 Inuse: 694
% 10.16/10.57 Deleted: 13
% 10.16/10.57 Deletedinuse: 1
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57
% 10.16/10.57 Intermediate Status:
% 10.16/10.57 Generated: 29833
% 10.16/10.57 Kept: 13845
% 10.16/10.57 Inuse: 719
% 10.16/10.57 Deleted: 13
% 10.16/10.57 Deletedinuse: 1
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57
% 10.16/10.57 Intermediate Status:
% 10.16/10.57 Generated: 34724
% 10.16/10.57 Kept: 15857
% 10.16/10.57 Inuse: 744
% 10.16/10.57 Deleted: 13
% 10.16/10.57 Deletedinuse: 1
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57 Resimplifying inuse:
% 10.16/10.57 Done
% 10.16/10.57
% 10.16/10.57
% 10.16/10.57 Intermediate Status:
% 10.16/10.57 Generated: 39598
% 10.16/10.57 Kept: 18063
% 10.16/10.57 Inuse: 764
% 10.16/10.57 Deleted: 13
% 26.87/27.28 Deletedinuse: 1
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 44546
% 26.87/27.28 Kept: 20086
% 26.87/27.28 Inuse: 823
% 26.87/27.28 Deleted: 14
% 26.87/27.28 Deletedinuse: 1
% 26.87/27.28
% 26.87/27.28 Resimplifying clauses:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 49869
% 26.87/27.28 Kept: 22119
% 26.87/27.28 Inuse: 863
% 26.87/27.28 Deleted: 1526
% 26.87/27.28 Deletedinuse: 1
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 57208
% 26.87/27.28 Kept: 24787
% 26.87/27.28 Inuse: 963
% 26.87/27.28 Deleted: 1526
% 26.87/27.28 Deletedinuse: 1
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 65210
% 26.87/27.28 Kept: 26789
% 26.87/27.28 Inuse: 1023
% 26.87/27.28 Deleted: 1526
% 26.87/27.28 Deletedinuse: 1
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 73841
% 26.87/27.28 Kept: 29203
% 26.87/27.28 Inuse: 1078
% 26.87/27.28 Deleted: 1526
% 26.87/27.28 Deletedinuse: 1
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 80024
% 26.87/27.28 Kept: 31297
% 26.87/27.28 Inuse: 1103
% 26.87/27.28 Deleted: 1527
% 26.87/27.28 Deletedinuse: 2
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 87233
% 26.87/27.28 Kept: 33610
% 26.87/27.28 Inuse: 1153
% 26.87/27.28 Deleted: 1528
% 26.87/27.28 Deletedinuse: 3
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 91824
% 26.87/27.28 Kept: 35964
% 26.87/27.28 Inuse: 1183
% 26.87/27.28 Deleted: 1528
% 26.87/27.28 Deletedinuse: 3
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 98878
% 26.87/27.28 Kept: 38084
% 26.87/27.28 Inuse: 1248
% 26.87/27.28 Deleted: 1528
% 26.87/27.28 Deletedinuse: 3
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 103792
% 26.87/27.28 Kept: 40136
% 26.87/27.28 Inuse: 1323
% 26.87/27.28 Deleted: 1530
% 26.87/27.28 Deletedinuse: 5
% 26.87/27.28
% 26.87/27.28 Resimplifying clauses:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 112269
% 26.87/27.28 Kept: 42299
% 26.87/27.28 Inuse: 1398
% 26.87/27.28 Deleted: 2487
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 121421
% 26.87/27.28 Kept: 44302
% 26.87/27.28 Inuse: 1453
% 26.87/27.28 Deleted: 2487
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 128316
% 26.87/27.28 Kept: 46561
% 26.87/27.28 Inuse: 1493
% 26.87/27.28 Deleted: 2487
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 135048
% 26.87/27.28 Kept: 49248
% 26.87/27.28 Inuse: 1503
% 26.87/27.28 Deleted: 2487
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 142217
% 26.87/27.28 Kept: 51764
% 26.87/27.28 Inuse: 1513
% 26.87/27.28 Deleted: 2487
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 147400
% 26.87/27.28 Kept: 53774
% 26.87/27.28 Inuse: 1529
% 26.87/27.28 Deleted: 2487
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 153470
% 26.87/27.28 Kept: 56601
% 26.87/27.28 Inuse: 1538
% 26.87/27.28 Deleted: 2487
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 160725
% 26.87/27.28 Kept: 59294
% 26.87/27.28 Inuse: 1558
% 26.87/27.28 Deleted: 2487
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying clauses:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 166317
% 26.87/27.28 Kept: 61309
% 26.87/27.28 Inuse: 1584
% 26.87/27.28 Deleted: 2578
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 172560
% 26.87/27.28 Kept: 63390
% 26.87/27.28 Inuse: 1627
% 26.87/27.28 Deleted: 2578
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 178405
% 26.87/27.28 Kept: 65829
% 26.87/27.28 Inuse: 1628
% 26.87/27.28 Deleted: 2578
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 192628
% 26.87/27.28 Kept: 69218
% 26.87/27.28 Inuse: 1638
% 26.87/27.28 Deleted: 2578
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 200027
% 26.87/27.28 Kept: 71428
% 26.87/27.28 Inuse: 1658
% 26.87/27.28 Deleted: 2578
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28 Resimplifying inuse:
% 26.87/27.28 Done
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 205633
% 26.87/27.28 Kept: 73474
% 26.87/27.28 Inuse: 1671
% 26.87/27.28 Deleted: 2578
% 26.87/27.28 Deletedinuse: 7
% 26.87/27.28
% 26.87/27.28
% 26.87/27.28 Intermediate Status:
% 26.87/27.28 Generated: 209514
% 53.85/54.24 Kept: 75633
% 53.85/54.24 Inuse: 1678
% 53.85/54.24 Deleted: 2578
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 213112
% 53.85/54.24 Kept: 77740
% 53.85/54.24 Inuse: 1683
% 53.85/54.24 Deleted: 2578
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 216758
% 53.85/54.24 Kept: 79871
% 53.85/54.24 Inuse: 1688
% 53.85/54.24 Deleted: 2578
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying clauses:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 226313
% 53.85/54.24 Kept: 82160
% 53.85/54.24 Inuse: 1698
% 53.85/54.24 Deleted: 2765
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 235021
% 53.85/54.24 Kept: 84177
% 53.85/54.24 Inuse: 1706
% 53.85/54.24 Deleted: 2765
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 248169
% 53.85/54.24 Kept: 87404
% 53.85/54.24 Inuse: 1718
% 53.85/54.24 Deleted: 2765
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 258065
% 53.85/54.24 Kept: 89409
% 53.85/54.24 Inuse: 1727
% 53.85/54.24 Deleted: 2765
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 276609
% 53.85/54.24 Kept: 92733
% 53.85/54.24 Inuse: 1733
% 53.85/54.24 Deleted: 2765
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 287348
% 53.85/54.24 Kept: 95209
% 53.85/54.24 Inuse: 1753
% 53.85/54.24 Deleted: 2765
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 290959
% 53.85/54.24 Kept: 97230
% 53.85/54.24 Inuse: 1760
% 53.85/54.24 Deleted: 2765
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 294838
% 53.85/54.24 Kept: 99339
% 53.85/54.24 Inuse: 1768
% 53.85/54.24 Deleted: 2765
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 301115
% 53.85/54.24 Kept: 101512
% 53.85/54.24 Inuse: 1788
% 53.85/54.24 Deleted: 2765
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying clauses:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 310119
% 53.85/54.24 Kept: 103874
% 53.85/54.24 Inuse: 1798
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 318166
% 53.85/54.24 Kept: 105929
% 53.85/54.24 Inuse: 1803
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 324372
% 53.85/54.24 Kept: 107938
% 53.85/54.24 Inuse: 1845
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 330517
% 53.85/54.24 Kept: 109959
% 53.85/54.24 Inuse: 1887
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 337677
% 53.85/54.24 Kept: 112302
% 53.85/54.24 Inuse: 1933
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 342742
% 53.85/54.24 Kept: 114331
% 53.85/54.24 Inuse: 1960
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 349360
% 53.85/54.24 Kept: 117131
% 53.85/54.24 Inuse: 1978
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 354063
% 53.85/54.24 Kept: 119139
% 53.85/54.24 Inuse: 1986
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 357635
% 53.85/54.24 Kept: 121385
% 53.85/54.24 Inuse: 1988
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 362539
% 53.85/54.24 Kept: 123511
% 53.85/54.24 Inuse: 1993
% 53.85/54.24 Deleted: 2827
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying clauses:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 370826
% 53.85/54.24 Kept: 126642
% 53.85/54.24 Inuse: 2023
% 53.85/54.24 Deleted: 2882
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 375552
% 53.85/54.24 Kept: 128645
% 53.85/54.24 Inuse: 2030
% 53.85/54.24 Deleted: 2882
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 380452
% 53.85/54.24 Kept: 131401
% 53.85/54.24 Inuse: 2038
% 53.85/54.24 Deleted: 2882
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 385536
% 53.85/54.24 Kept: 133598
% 53.85/54.24 Inuse: 2043
% 53.85/54.24 Deleted: 2882
% 53.85/54.24 Deletedinuse: 7
% 53.85/54.24
% 53.85/54.24 Resimplifying inuse:
% 53.85/54.24 Done
% 53.85/54.24
% 53.85/54.24
% 53.85/54.24 Intermediate Status:
% 53.85/54.24 Generated: 391674
% 53.85/54.24 Kept: 136685
% 53.85/54.24 Inuse: 2058
% 100.60/101.08 Deleted: 2882
% 100.60/101.08 Deletedinuse: 7
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 397141
% 100.60/101.08 Kept: 138697
% 100.60/101.08 Inuse: 2078
% 100.60/101.08 Deleted: 2882
% 100.60/101.08 Deletedinuse: 7
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 401750
% 100.60/101.08 Kept: 141332
% 100.60/101.08 Inuse: 2083
% 100.60/101.08 Deleted: 2882
% 100.60/101.08 Deletedinuse: 7
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 407861
% 100.60/101.08 Kept: 143412
% 100.60/101.08 Inuse: 2111
% 100.60/101.08 Deleted: 2882
% 100.60/101.08 Deletedinuse: 7
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying clauses:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 413272
% 100.60/101.08 Kept: 145441
% 100.60/101.08 Inuse: 2125
% 100.60/101.08 Deleted: 3262
% 100.60/101.08 Deletedinuse: 8
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 419498
% 100.60/101.08 Kept: 147723
% 100.60/101.08 Inuse: 2138
% 100.60/101.08 Deleted: 3263
% 100.60/101.08 Deletedinuse: 9
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 426079
% 100.60/101.08 Kept: 150159
% 100.60/101.08 Inuse: 2153
% 100.60/101.08 Deleted: 3263
% 100.60/101.08 Deletedinuse: 9
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 439008
% 100.60/101.08 Kept: 154832
% 100.60/101.08 Inuse: 2163
% 100.60/101.08 Deleted: 3264
% 100.60/101.08 Deletedinuse: 10
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 445162
% 100.60/101.08 Kept: 156963
% 100.60/101.08 Inuse: 2173
% 100.60/101.08 Deleted: 3264
% 100.60/101.08 Deletedinuse: 10
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 461034
% 100.60/101.08 Kept: 161475
% 100.60/101.08 Inuse: 2188
% 100.60/101.08 Deleted: 3264
% 100.60/101.08 Deletedinuse: 10
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 472339
% 100.60/101.08 Kept: 164540
% 100.60/101.08 Inuse: 2193
% 100.60/101.08 Deleted: 3264
% 100.60/101.08 Deletedinuse: 10
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying clauses:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 478778
% 100.60/101.08 Kept: 166663
% 100.60/101.08 Inuse: 2210
% 100.60/101.08 Deleted: 3618
% 100.60/101.08 Deletedinuse: 10
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 484896
% 100.60/101.08 Kept: 168836
% 100.60/101.08 Inuse: 2223
% 100.60/101.08 Deleted: 3618
% 100.60/101.08 Deletedinuse: 10
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 490458
% 100.60/101.08 Kept: 170849
% 100.60/101.08 Inuse: 2234
% 100.60/101.08 Deleted: 3618
% 100.60/101.08 Deletedinuse: 10
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 496677
% 100.60/101.08 Kept: 172992
% 100.60/101.08 Inuse: 2247
% 100.60/101.08 Deleted: 3618
% 100.60/101.08 Deletedinuse: 10
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 503143
% 100.60/101.08 Kept: 175118
% 100.60/101.08 Inuse: 2262
% 100.60/101.08 Deleted: 3618
% 100.60/101.08 Deletedinuse: 10
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 510316
% 100.60/101.08 Kept: 177148
% 100.60/101.08 Inuse: 2326
% 100.60/101.08 Deleted: 3622
% 100.60/101.08 Deletedinuse: 12
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 515660
% 100.60/101.08 Kept: 179408
% 100.60/101.08 Inuse: 2347
% 100.60/101.08 Deleted: 3622
% 100.60/101.08 Deletedinuse: 12
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 523917
% 100.60/101.08 Kept: 181453
% 100.60/101.08 Inuse: 2375
% 100.60/101.08 Deleted: 3625
% 100.60/101.08 Deletedinuse: 15
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 532010
% 100.60/101.08 Kept: 183504
% 100.60/101.08 Inuse: 2403
% 100.60/101.08 Deleted: 3625
% 100.60/101.08 Deletedinuse: 15
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying clauses:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 539400
% 100.60/101.08 Kept: 185506
% 100.60/101.08 Inuse: 2427
% 100.60/101.08 Deleted: 4227
% 100.60/101.08 Deletedinuse: 15
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 549339
% 100.60/101.08 Kept: 187851
% 100.60/101.08 Inuse: 2451
% 100.60/101.08 Deleted: 4227
% 100.60/101.08 Deletedinuse: 15
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 564965
% 100.60/101.08 Kept: 192580
% 100.60/101.08 Inuse: 2466
% 100.60/101.08 Deleted: 4227
% 100.60/101.08 Deletedinuse: 15
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 575252
% 100.60/101.08 Kept: 195100
% 100.60/101.08 Inuse: 2491
% 100.60/101.08 Deleted: 4227
% 100.60/101.08 Deletedinuse: 15
% 100.60/101.08
% 100.60/101.08 Resimplifying inuse:
% 100.60/101.08 Done
% 100.60/101.08
% 100.60/101.08
% 100.60/101.08 Intermediate Status:
% 100.60/101.08 Generated: 588208
% 100.60/101.08 Kept: 199849
% 100.60/101.08 Inuse: 2506
% 154.25/154.76 Deleted: 4227
% 154.25/154.76 Deletedinuse: 15
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 600427
% 154.25/154.76 Kept: 204314
% 154.25/154.76 Inuse: 2531
% 154.25/154.76 Deleted: 4227
% 154.25/154.76 Deletedinuse: 15
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying clauses:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 614925
% 154.25/154.76 Kept: 208259
% 154.25/154.76 Inuse: 2546
% 154.25/154.76 Deleted: 4248
% 154.25/154.76 Deletedinuse: 15
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 625349
% 154.25/154.76 Kept: 211383
% 154.25/154.76 Inuse: 2565
% 154.25/154.76 Deleted: 4248
% 154.25/154.76 Deletedinuse: 15
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 637318
% 154.25/154.76 Kept: 214389
% 154.25/154.76 Inuse: 2566
% 154.25/154.76 Deleted: 4249
% 154.25/154.76 Deletedinuse: 16
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 646741
% 154.25/154.76 Kept: 217757
% 154.25/154.76 Inuse: 2581
% 154.25/154.76 Deleted: 4249
% 154.25/154.76 Deletedinuse: 16
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 654760
% 154.25/154.76 Kept: 221661
% 154.25/154.76 Inuse: 2591
% 154.25/154.76 Deleted: 4249
% 154.25/154.76 Deletedinuse: 16
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 661377
% 154.25/154.76 Kept: 223719
% 154.25/154.76 Inuse: 2610
% 154.25/154.76 Deleted: 4249
% 154.25/154.76 Deletedinuse: 16
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 666760
% 154.25/154.76 Kept: 226888
% 154.25/154.76 Inuse: 2611
% 154.25/154.76 Deleted: 4249
% 154.25/154.76 Deletedinuse: 16
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying clauses:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 683293
% 154.25/154.76 Kept: 230920
% 154.25/154.76 Inuse: 2626
% 154.25/154.76 Deleted: 4288
% 154.25/154.76 Deletedinuse: 16
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 693224
% 154.25/154.76 Kept: 235324
% 154.25/154.76 Inuse: 2641
% 154.25/154.76 Deleted: 4288
% 154.25/154.76 Deletedinuse: 16
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 703835
% 154.25/154.76 Kept: 238850
% 154.25/154.76 Inuse: 2656
% 154.25/154.76 Deleted: 4289
% 154.25/154.76 Deletedinuse: 17
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 711266
% 154.25/154.76 Kept: 240889
% 154.25/154.76 Inuse: 2680
% 154.25/154.76 Deleted: 4290
% 154.25/154.76 Deletedinuse: 18
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 717662
% 154.25/154.76 Kept: 242910
% 154.25/154.76 Inuse: 2697
% 154.25/154.76 Deleted: 4290
% 154.25/154.76 Deletedinuse: 18
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 724879
% 154.25/154.76 Kept: 244924
% 154.25/154.76 Inuse: 2714
% 154.25/154.76 Deleted: 4290
% 154.25/154.76 Deletedinuse: 18
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 750063
% 154.25/154.76 Kept: 253500
% 154.25/154.76 Inuse: 2726
% 154.25/154.76 Deleted: 4290
% 154.25/154.76 Deletedinuse: 18
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying clauses:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 756622
% 154.25/154.76 Kept: 255503
% 154.25/154.76 Inuse: 2745
% 154.25/154.76 Deleted: 4559
% 154.25/154.76 Deletedinuse: 18
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 762941
% 154.25/154.76 Kept: 257565
% 154.25/154.76 Inuse: 2760
% 154.25/154.76 Deleted: 4559
% 154.25/154.76 Deletedinuse: 18
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 770406
% 154.25/154.76 Kept: 259643
% 154.25/154.76 Inuse: 2764
% 154.25/154.76 Deleted: 4559
% 154.25/154.76 Deletedinuse: 18
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 778607
% 154.25/154.76 Kept: 261836
% 154.25/154.76 Inuse: 2766
% 154.25/154.76 Deleted: 4559
% 154.25/154.76 Deletedinuse: 18
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 789787
% 154.25/154.76 Kept: 266754
% 154.25/154.76 Inuse: 2781
% 154.25/154.76 Deleted: 4559
% 154.25/154.76 Deletedinuse: 18
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 797900
% 154.25/154.76 Kept: 268817
% 154.25/154.76 Inuse: 2803
% 154.25/154.76 Deleted: 4560
% 154.25/154.76 Deletedinuse: 19
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 805410
% 154.25/154.76 Kept: 270821
% 154.25/154.76 Inuse: 2811
% 154.25/154.76 Deleted: 4560
% 154.25/154.76 Deletedinuse: 19
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 811643
% 154.25/154.76 Kept: 272983
% 154.25/154.76 Inuse: 2821
% 154.25/154.76 Deleted: 4560
% 154.25/154.76 Deletedinuse: 19
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying clauses:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 154.25/154.76 Generated: 819080
% 154.25/154.76 Kept: 275017
% 154.25/154.76 Inuse: 2836
% 154.25/154.76 Deleted: 7745
% 154.25/154.76 Deletedinuse: 19
% 154.25/154.76
% 154.25/154.76 Resimplifying inuse:
% 154.25/154.76 Done
% 154.25/154.76
% 154.25/154.76
% 154.25/154.76 Intermediate Status:
% 208.43/208.90 Generated: 825640
% 208.43/208.90 Kept: 277430
% 208.43/208.90 Inuse: 2840
% 208.43/208.90 Deleted: 7745
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 838146
% 208.43/208.90 Kept: 282610
% 208.43/208.90 Inuse: 2856
% 208.43/208.90 Deleted: 7745
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 846487
% 208.43/208.90 Kept: 284630
% 208.43/208.90 Inuse: 2879
% 208.43/208.90 Deleted: 7745
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 867083
% 208.43/208.90 Kept: 289892
% 208.43/208.90 Inuse: 2896
% 208.43/208.90 Deleted: 7745
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 874438
% 208.43/208.90 Kept: 293794
% 208.43/208.90 Inuse: 2901
% 208.43/208.90 Deleted: 7745
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying clauses:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 881858
% 208.43/208.90 Kept: 295902
% 208.43/208.90 Inuse: 2921
% 208.43/208.90 Deleted: 7876
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 891595
% 208.43/208.90 Kept: 298377
% 208.43/208.90 Inuse: 2941
% 208.43/208.90 Deleted: 7876
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 902895
% 208.43/208.90 Kept: 300724
% 208.43/208.90 Inuse: 2961
% 208.43/208.90 Deleted: 7876
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 912407
% 208.43/208.90 Kept: 302907
% 208.43/208.90 Inuse: 2976
% 208.43/208.90 Deleted: 7876
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 925210
% 208.43/208.90 Kept: 305041
% 208.43/208.90 Inuse: 2996
% 208.43/208.90 Deleted: 7876
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 935694
% 208.43/208.90 Kept: 307744
% 208.43/208.90 Inuse: 3016
% 208.43/208.90 Deleted: 7876
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 945869
% 208.43/208.90 Kept: 309880
% 208.43/208.90 Inuse: 3031
% 208.43/208.90 Deleted: 7876
% 208.43/208.90 Deletedinuse: 19
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 957494
% 208.43/208.90 Kept: 311884
% 208.43/208.90 Inuse: 3057
% 208.43/208.90 Deleted: 7877
% 208.43/208.90 Deletedinuse: 20
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying clauses:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 967490
% 208.43/208.90 Kept: 314031
% 208.43/208.90 Inuse: 3074
% 208.43/208.90 Deleted: 8014
% 208.43/208.90 Deletedinuse: 21
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 975679
% 208.43/208.90 Kept: 316069
% 208.43/208.90 Inuse: 3088
% 208.43/208.90 Deleted: 8014
% 208.43/208.90 Deletedinuse: 21
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 982876
% 208.43/208.90 Kept: 318171
% 208.43/208.90 Inuse: 3101
% 208.43/208.90 Deleted: 8014
% 208.43/208.90 Deletedinuse: 21
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 991074
% 208.43/208.90 Kept: 320196
% 208.43/208.90 Inuse: 3117
% 208.43/208.90 Deleted: 8017
% 208.43/208.90 Deletedinuse: 24
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 998321
% 208.43/208.90 Kept: 322416
% 208.43/208.90 Inuse: 3130
% 208.43/208.90 Deleted: 8018
% 208.43/208.90 Deletedinuse: 24
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 1005775
% 208.43/208.90 Kept: 324433
% 208.43/208.90 Inuse: 3143
% 208.43/208.90 Deleted: 8018
% 208.43/208.90 Deletedinuse: 24
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 1014480
% 208.43/208.90 Kept: 327636
% 208.43/208.90 Inuse: 3149
% 208.43/208.90 Deleted: 8018
% 208.43/208.90 Deletedinuse: 24
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 1023875
% 208.43/208.90 Kept: 329787
% 208.43/208.90 Inuse: 3165
% 208.43/208.90 Deleted: 8018
% 208.43/208.90 Deletedinuse: 24
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 1031982
% 208.43/208.90 Kept: 331979
% 208.43/208.90 Inuse: 3180
% 208.43/208.90 Deleted: 8018
% 208.43/208.90 Deletedinuse: 24
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 1041059
% 208.43/208.90 Kept: 334103
% 208.43/208.90 Inuse: 3195
% 208.43/208.90 Deleted: 8018
% 208.43/208.90 Deletedinuse: 24
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying clauses:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90 Resimplifying inuse:
% 208.43/208.90 Done
% 208.43/208.90
% 208.43/208.90
% 208.43/208.90 Intermediate Status:
% 208.43/208.90 Generated: 1049434
% 208.43/208.90 Kept: 336434
% 208.43/208.90 Inuse: 3210
% 208.43/208.90 Deleted: 9419
% 208.43/208.90 DeletedinCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------