TSTP Solution File: ANA041-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA041-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 18:38:43 EDT 2022
% Result : Unsatisfiable 1.25s 1.69s
% Output : Refutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ANA041-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Fri Jul 8 05:58:59 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.21/1.61 *** allocated 10000 integers for termspace/termends
% 1.21/1.61 *** allocated 10000 integers for clauses
% 1.21/1.61 *** allocated 10000 integers for justifications
% 1.21/1.61 *** allocated 15000 integers for termspace/termends
% 1.21/1.61 *** allocated 22500 integers for termspace/termends
% 1.21/1.61 *** allocated 33750 integers for termspace/termends
% 1.21/1.61 *** allocated 50625 integers for termspace/termends
% 1.21/1.61 Bliksem 1.12
% 1.21/1.61
% 1.21/1.61
% 1.21/1.61 Automatic Strategy Selection
% 1.21/1.61
% 1.21/1.61 Clauses:
% 1.21/1.61 [
% 1.21/1.61 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_in'( Y, Z, X ) ), 'c_in'( 'c_plus'(
% 1.21/1.61 T, Y, X ), 'c_SetsAndFunctions_Oelt__set__plus'( T, Z, X ), X ) ],
% 1.21/1.61 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 'c_in'( T, U,
% 1.21/1.61 X ) ), 'c_in'( 'c_plus'( T, Y, X ), 'c_plus'( U, Z, 'tc_set'( X ) ), X )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( X ) )
% 1.21/1.61 ), ~( 'c_lessequals'( T, U, 'tc_set'( X ) ) ), 'c_lessequals'( 'c_plus'(
% 1.21/1.61 T, Y, 'tc_set'( X ) ), 'c_plus'( U, Z, 'tc_set'( X ) ), 'tc_set'( X ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_in'( Y, Z, X ) ), 'c_lessequals'(
% 1.21/1.61 'c_SetsAndFunctions_Oelt__set__plus'( Y, T, X ), 'c_plus'( Z, T, 'tc_set'(
% 1.21/1.61 X ) ), 'tc_set'( X ) ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( 'c_in'( Y, Z, X
% 1.21/1.61 ) ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__plus'( Y, T, X ),
% 1.21/1.61 'c_plus'( T, Z, 'tc_set'( X ) ), 'tc_set'( X ) ) ],
% 1.21/1.61 [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( X ) )
% 1.21/1.61 ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__plus'( T, Y, X ),
% 1.21/1.61 'c_SetsAndFunctions_Oelt__set__plus'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.21/1.61 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_in'( Y, Z, X ) ), 'c_in'(
% 1.21/1.61 'c_times'( T, Y, X ), 'c_SetsAndFunctions_Oelt__set__times'( T, Z, X ), X
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 'c_in'( T, U
% 1.21/1.61 , X ) ), 'c_in'( 'c_times'( T, Y, X ), 'c_times'( U, Z, 'tc_set'( X ) ),
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( X ) )
% 1.21/1.61 ), ~( 'c_lessequals'( T, U, 'tc_set'( X ) ) ), 'c_lessequals'( 'c_times'(
% 1.21/1.61 T, Y, 'tc_set'( X ) ), 'c_times'( U, Z, 'tc_set'( X ) ), 'tc_set'( X ) )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_in'( Y, Z, X ) ), 'c_lessequals'(
% 1.21/1.61 'c_SetsAndFunctions_Oelt__set__times'( Y, T, X ), 'c_times'( Z, T,
% 1.21/1.61 'tc_set'( X ) ), 'tc_set'( X ) ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), ~( 'c_in'( Y, Z, X
% 1.21/1.61 ) ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__times'( Y, T, X ),
% 1.21/1.61 'c_times'( T, Z, 'tc_set'( X ) ), 'tc_set'( X ) ) ],
% 1.21/1.61 [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( X ) )
% 1.21/1.61 ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__times'( T, Y, X ),
% 1.21/1.61 'c_SetsAndFunctions_Oelt__set__times'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Oab__group__add'( Y ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_fun'( X, Y ) ),
% 1.21/1.61 ~( 'class_OrderedGroup_Oab__group__add'( Y ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Oab__group__add'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Oab__group__add'( Y ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Osemigroup__mult'( Y ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( Y ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( Y ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Osemiring'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_HOL_Oplus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oplus'( Y ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Oring'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_fun'( X, Y )
% 1.21/1.61 ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Oring__1'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_HOL_Otimes'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Otimes'( Y ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_fun'( X, Y )
% 1.21/1.61 ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ],
% 1.21/1.61 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ 'class_HOL_Ozero'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ozero'( Y ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ 'class_HOL_Oone'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oone'( Y ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( Y ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_set'( X ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_set'( X ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_set'( X ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_set'( X ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_set'( X ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_set'( X ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ) ],
% 1.21/1.61 [ 'class_HOL_Oplus'( 'tc_set'( X ) ), ~( 'class_HOL_Oplus'( X ) ) ],
% 1.21/1.61 [ 'class_HOL_Otimes'( 'tc_set'( X ) ), ~( 'class_HOL_Otimes'( X ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ 'class_HOL_Ozero'( 'tc_set'( X ) ), ~( 'class_HOL_Ozero'( X ) ) ],
% 1.21/1.61 [ 'class_HOL_Oone'( 'tc_set'( X ) ), ~( 'class_HOL_Oone'( X ) ) ],
% 1.21/1.61 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_set'( X ) ), ~(
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 'c_plus'(
% 1.21/1.61 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 'c_Suc'( Y ) )
% 1.21/1.61 , 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X ) ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 1.21/1.61 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.21/1.61 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.21/1.61 , Y ) ],
% 1.21/1.61 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.21/1.61 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ],
% 1.21/1.61 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.21/1.61 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ],
% 1.21/1.61 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ),
% 1.21/1.61 'c_insert'( X, 'c_emptyset', Y ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.21/1.61 'c_Datatype_Ooption_ONone' ) ],
% 1.21/1.61 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 'c_emptyset' )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 1.21/1.61 Z, Y ) ) ), =( X, Z ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 'tc_Datatype_Ooption'( X
% 1.21/1.61 ) ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.21/1.61 'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T ) ), 'c_0' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( Y, Z ) ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( Z, Y ) ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Datatype_Ounit_Ounit__case'( X, 'c_Product__Type_OUnity', Y ), X
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 'c_Product__Type_OUnity', Y ), X
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 'tc_Product__Type_Ounit' )
% 1.21/1.61 , 'c_0' ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.21/1.61 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X, Y, Z, T ),
% 1.21/1.61 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.61 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'(
% 1.21/1.61 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.21/1.61 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X, Y, Z, T ),
% 1.21/1.61 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.61 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'(
% 1.21/1.61 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.21/1.61 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 'c_emptyset' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.21/1.61 'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.21/1.61 , Y, Z, T ), Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.21/1.61 , Y, Z, T ), Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.21/1.61 'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.21/1.61 'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.21/1.61 ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.21/1.61 [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 'tc_nat' ), 'c_0' )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', Y, 'tc_nat' )
% 1.21/1.61 ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.21/1.61 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.21/1.61 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.21/1.61 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.21/1.61 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.21/1.61 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.21/1.61 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.21/1.61 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.21/1.61 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.21/1.61 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.21/1.61 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 'tc_nat' ),
% 1.21/1.61 'c_1' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 1.21/1.61 'c_Suc'( 'c_0' ) ) ],
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), 'c_0' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.21/1.61 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, Y,
% 1.21/1.61 'tc_nat' ), X ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_Divides_Oop_Amod'( Y
% 1.21/1.61 , X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.21/1.61 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 'tc_nat' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.21/1.61 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y,
% 1.21/1.61 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 1.21/1.61 X, 'c_emptyset' ) ],
% 1.21/1.61 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 1.21/1.61 X, 'c_emptyset' ) ],
% 1.21/1.61 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.21/1.61 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.21/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.21/1.61 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.21/1.61 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.21/1.61 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.21/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.21/1.61 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft',
% 1.21/1.61 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight',
% 1.21/1.61 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( Y
% 1.21/1.61 , 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'(
% 1.21/1.61 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.21/1.61 'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z,
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ), =( Z,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.21/1.61 'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.21/1.61 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), =( Z,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.21/1.61 'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'(
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.21/1.61 'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'(
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMax'(
% 1.21/1.61 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.21/1.61 T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T, Y, X ), =( Z,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.21/1.61 'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z,
% 1.21/1.61 'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( T,
% 1.21/1.61 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), =( Z,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.21/1.61 'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z,
% 1.21/1.61 'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'(
% 1.21/1.61 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.21/1.61 'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMin'(
% 1.21/1.61 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( =(
% 1.21/1.61 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.21/1.61 =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.21/1.61 [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =(
% 1.21/1.61 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( Z,
% 1.21/1.61 X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y ), 'c_Suc'(
% 1.21/1.61 'c_Finite__Set_Ocard'( X, Y ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.61 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 1.21/1.61 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.21/1.61 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 1.21/1.61 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.21/1.61 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.61 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.21/1.61 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.21/1.61 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 1.21/1.61 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 1.21/1.61 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.21/1.61 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.21/1.61 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.21/1.61 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.21/1.61 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.21/1.61 Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.21/1.61 'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.21/1.61 ), Y ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.21/1.61 'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.21/1.61 ), Y ) ],
% 1.21/1.61 [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ],
% 1.21/1.61 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat', 'tc_nat' ) )
% 1.21/1.61 , 'c_1' ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat', 'tc_nat' ) )
% 1.21/1.61 , 'c_1' ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 1.21/1.61 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.21/1.61 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), X ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), X ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.21/1.61 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.61 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.21/1.61 ), 'c_1' ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, X ), 'c_1', X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~(
% 1.21/1.61 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'(
% 1.21/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1',
% 1.21/1.61 X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 'c_1', X
% 1.21/1.61 ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ), Y ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ), =( 'c_1', 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ),
% 1.21/1.61 X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.61 ), 'c_1' ) ],
% 1.21/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.61 , 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_IntDef_Onat'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ),
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_IntDef_Oof__int'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X ),
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ),
% 1.21/1.61 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Suc'( 'c_0'
% 1.21/1.61 ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.21/1.61 , 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1',
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ],
% 1.21/1.61 [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1',
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( X, 'c_plus'(
% 1.21/1.61 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, 'c_minus'(
% 1.21/1.61 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y ),
% 1.21/1.61 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 'c_IntDef_OAbs__Integ'( X )
% 1.21/1.61 ), X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_0',
% 1.21/1.61 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_1',
% 1.21/1.61 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.21/1.61 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.21/1.61 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 'c_IntDef_OInts', X
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.21/1.61 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.21/1.61 'c_0', 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.21/1.61 'c_1', 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.21/1.61 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.21/1.61 , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.21/1.61 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.21/1.61 , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDef_Oint'( X ) ) ],
% 1.21/1.61 [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X,
% 1.21/1.61 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.21/1.61 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.21/1.61 , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.21/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =(
% 1.21/1.61 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset',
% 1.21/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.21/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.21/1.61 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_0', 'c_1' ) ) ],
% 1.21/1.61 [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ],
% 1.21/1.61 [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 'c_IntDef_Oint'(
% 1.21/1.61 X ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.21/1.61 [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ],
% 1.21/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ),
% 1.21/1.61 =( X, 'c_0' ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 'tc_IntDef_Oint' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.21/1.61 'c_IntDef_Onat'( X ) ), X ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'(
% 1.21/1.61 'c_IntDef_Onat'( X ) ), 'c_0' ) ],
% 1.21/1.61 [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 'c_Pair'(
% 1.21/1.61 X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.21/1.61 ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ),
% 1.21/1.61 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z
% 1.21/1.61 , T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_plus'(
% 1.21/1.61 X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 'tc_nat' ) ) ),
% 1.21/1.61 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z, Y,
% 1.21/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.21/1.61 [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Onat'(
% 1.21/1.61 X ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.21/1.61 ) ), 'c_0' ) ],
% 1.21/1.61 [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ],
% 1.21/1.61 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ],
% 1.21/1.61 [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDef_Oint'( 'c_0' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 'c_IntDef_Oint'( Y ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) )
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_0',
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0',
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_0', X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.61 , 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.61 , Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ),
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.21/1.61 , X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X
% 1.21/1.61 ), 'c_0', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ),
% 1.21/1.61 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ),
% 1.21/1.61 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y,
% 1.21/1.61 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0'
% 1.21/1.61 , X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 'c_less'(
% 1.21/1.61 Y, Z, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, Z,
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ),
% 1.21/1.61 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ),
% 1.21/1.61 'c_NatArith_Oof__nat'( Y, X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.21/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_IntDef_Oint'(
% 1.21/1.61 X ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 'c_less'(
% 1.21/1.61 'c_0', X, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.21/1.61 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_IntDef_Oint'(
% 1.21/1.61 X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_IntDef_Oint'( X ),
% 1.21/1.61 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.21/1.61 , 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.21/1.61 , 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y
% 1.21/1.61 ), 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.21/1.61 ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.21/1.61 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.21/1.61 [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X,
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_1',
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_1', 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.21/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.21/1.61 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 'c_times'( X,
% 1.21/1.61 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ],
% 1.21/1.61 [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin',
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X,
% 1.21/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.21/1.61 ],
% 1.21/1.61 [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.61 , 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_plus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' )
% 1.21/1.61 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 'tc_IntDef_Oint' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), Y ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), Y ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.21/1.61 ],
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.21/1.61 , =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' )
% 1.21/1.61 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X,
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 'c_0' ) ],
% 1.21/1.61 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 'c_LOrder_Ojoin'( Y, Y
% 1.21/1.61 , X ), Y ) ],
% 1.21/1.61 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 'c_LOrder_Omeet'( Y, Y
% 1.21/1.61 , X ), Y ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.21/1.61 Z, Z ) ), =( X, T ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.21/1.61 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.21/1.61 Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y,
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.21/1.61 , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'(
% 1.21/1.61 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y,
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( =(
% 1.21/1.61 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W,
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.21/1.61 , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.21/1.61 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.21/1.61 ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.21/1.61 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.21/1.61 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.21/1.61 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.21/1.61 , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Olist_ONil',
% 1.21/1.61 'c_List_Oconcat'( X, Y ) ) ],
% 1.21/1.61 [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.21/1.61 ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 1.21/1.61 'c_List_Olist_ONil', X ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.21/1.61 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.21/1.61 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.21/1.61 Z ) ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.21/1.61 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.21/1.61 Z ) ) ), =( Y, U ) ],
% 1.21/1.61 [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( X,
% 1.21/1.61 'c_append'( Y, T, Z ), Z ) ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 'c_List_Obutlast'( X, Y )
% 1.21/1.61 , 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil', Y )
% 1.21/1.61 , Y ), X ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.21/1.61 , Y ) ) ), =( X, Z ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.21/1.61 , Y ) ) ), =( T, U ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.21/1.61 , Y ) ) ), =( T, U ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.21/1.61 , Y ) ) ), =( X, Z ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.21/1.61 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 1.21/1.61 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.21/1.61 [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, Z ), Z
% 1.21/1.61 ), Y ) ],
% 1.21/1.61 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y
% 1.21/1.61 ), Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'(
% 1.21/1.61 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 1.21/1.61 'c_List_Obutlast'( X, Z ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.21/1.61 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ],
% 1.21/1.61 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.21/1.61 =( X, Z ) ],
% 1.21/1.61 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.21/1.61 =( Y, T ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 'tc_List_Ochar' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 'tc_List_Olist'( Z )
% 1.21/1.61 ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z ) ), Z ),
% 1.21/1.61 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z ), Z ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ),
% 1.21/1.61 'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Oconcat'( X, Y
% 1.21/1.61 ), 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.21/1.61 ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ),
% 1.21/1.61 'c_List_Odistinct'( X, Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate1'(
% 1.21/1.61 X, Y ), Y ) ],
% 1.21/1.61 [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), ~(
% 1.21/1.61 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ),
% 1.21/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.21/1.61 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.21/1.61 'c_List_Odistinct'( X, Z ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.21/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 'c_inter'(
% 1.21/1.61 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z, Y ) ), ~(
% 1.21/1.61 =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y ),
% 1.21/1.61 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Odrop'( Z
% 1.21/1.61 , X, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Oremove1'(
% 1.21/1.61 Z, X, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ),
% 1.21/1.61 'c_List_Odistinct'( X, Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orev'( X
% 1.21/1.61 , Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) ),
% 1.21/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate'(
% 1.21/1.61 Z, X, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Osublist'(
% 1.21/1.61 X, Z, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Otake'( Z
% 1.21/1.61 , X, Y ), Y ) ],
% 1.21/1.61 [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ],
% 1.21/1.61 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.21/1.61 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.21/1.61 , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.21/1.61 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.21/1.61 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 1.21/1.61 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 1.21/1.61 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.21/1.61 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.21/1.61 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 'c_List_Oupt'(
% 1.21/1.61 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 'c_List_Ohd'( X
% 1.21/1.61 , Y ), 'c_List_Otl'( X, Y ), Y ), X ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( X, Y, Z ), Z
% 1.21/1.61 ), 'c_List_Ohd'( X, Z ) ) ],
% 1.21/1.61 [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 'c_List_Oupt'( X, Y
% 1.21/1.61 ), 'tc_nat' ), X ) ],
% 1.21/1.61 [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( X, Z ), Y, Z
% 1.21/1.61 ) ) ],
% 1.21/1.61 [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.21/1.61 [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.21/1.61 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.21/1.61 Y ), X ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_List_Olist_OCons'(
% 1.21/1.61 Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y ), Y ),
% 1.21/1.61 'c_List_Olast'( X, Y ) ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_append'( Y, X, Z )
% 1.21/1.61 , Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.61 , =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y, Z
% 1.21/1.61 ) ) ],
% 1.21/1.61 [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 1.21/1.61 , Y ) ],
% 1.21/1.61 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.21/1.61 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Oupt'( X,
% 1.21/1.61 Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y,
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 1.21/1.61 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.21/1.61 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.21/1.61 , =( X, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 1.21/1.61 'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.21/1.61 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 1.21/1.61 Y ), X ) ],
% 1.21/1.61 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 1.21/1.61 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 'tc_List_Olist'( Z )
% 1.21/1.61 ), X ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 'tc_List_Olist'( Z ) )
% 1.21/1.61 , 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat'
% 1.21/1.61 ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 'tc_nat' ) )
% 1.21/1.61 , 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 'tc_List_Olist'(
% 1.21/1.61 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( X,
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ),
% 1.21/1.61 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.21/1.61 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.21/1.61 'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ),
% 1.21/1.61 'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ],
% 1.21/1.61 [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z )
% 1.21/1.61 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z )
% 1.21/1.61 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.21/1.61 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.21/1.61 Z, Z ) ), =( X, T ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.21/1.61 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.21/1.61 Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.21/1.61 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 'c_List_Olist_OCons'( Y, W, Z
% 1.21/1.61 ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z
% 1.21/1.61 ), 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.21/1.61 ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.21/1.61 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'(
% 1.21/1.61 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.21/1.61 ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.21/1.61 ) ), =( Y, U ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_0'
% 1.21/1.61 ), 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ),
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Olist__inter'(
% 1.21/1.61 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist_OCons'( X,
% 1.21/1.61 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ],
% 1.21/1.61 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Olist__inter'(
% 1.21/1.61 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist__inter'( T, Y, Z )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z ),
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.21/1.61 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.61 , =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_List_Olist__update'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z,
% 1.21/1.61 T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), U, T ), 'c_append'( X
% 1.21/1.61 , 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.61 , =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, T, Z ), X, U,
% 1.21/1.61 Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ],
% 1.21/1.61 [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 'c_insert'(
% 1.21/1.61 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'(
% 1.21/1.61 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ],
% 1.21/1.61 [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'(
% 1.21/1.61 'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.21/1.61 [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 'c_insert'(
% 1.21/1.61 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ],
% 1.21/1.61 [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 'tc_set'( Z ) ), Z )
% 1.21/1.61 , 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T ), T ), T ) )
% 1.21/1.62 , 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 1.21/1.62 , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 1.21/1.62 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0', Z ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ),
% 1.21/1.62 'c_List_Onth'( Y, T, Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.21/1.62 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 X, 'tc_nat' ), T ), Y ) ],
% 1.21/1.62 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.62 'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.21/1.62 , 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ],
% 1.21/1.62 [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 'c_Nat_Osize'( X,
% 1.21/1.62 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, T, Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_Nat_Osize'( Z,
% 1.21/1.62 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Odrop'( X
% 1.21/1.62 , Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 'tc_nat' ), T ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.62 , =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X, T, U ), Y,
% 1.21/1.62 U ), 'c_List_Onth'( Z, Y, U ) ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.62 , 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Oreplicate'(
% 1.21/1.62 Y, Z, T ), X, T ), Z ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Otake'( Y,
% 1.21/1.62 Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.21/1.62 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.62 , ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ), 'tc_nat' ) )
% 1.21/1.62 , =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 'tc_prod'( U, Z ) ),
% 1.21/1.62 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y, X, Z ), U, Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ],
% 1.21/1.62 [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.21/1.62 'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ],
% 1.21/1.62 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.21/1.62 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ) ),
% 1.21/1.62 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ],
% 1.21/1.62 [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X,
% 1.21/1.62 'c_List_Olist_OCons'( T, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Oremdups'(
% 1.21/1.62 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Oremdups'( Y, Z ) ) ],
% 1.21/1.62 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Oremdups'(
% 1.21/1.62 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 1.21/1.62 'c_List_Oremdups'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 'c_List_Olist_ONil', X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 1.21/1.62 ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ) ],
% 1.21/1.62 [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.21/1.62 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_append'(
% 1.21/1.62 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Z )
% 1.21/1.62 , Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'(
% 1.21/1.62 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.21/1.62 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 1.21/1.62 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 1.21/1.62 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 1.21/1.62 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.21/1.62 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 1.21/1.62 'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 1.21/1.62 'c_List_Olist_ONil', Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y
% 1.21/1.62 ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.21/1.62 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'(
% 1.21/1.62 'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.21/1.62 ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.21/1.62 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ],
% 1.21/1.62 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.21/1.62 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_insert'( X
% 1.21/1.62 , 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 'c_List_Oset'(
% 1.21/1.62 X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 'c_List_Oremove1'(
% 1.21/1.62 Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 'c_insert'( Z,
% 1.21/1.62 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ],
% 1.21/1.62 [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.21/1.62 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 'c_List_Oset'( Y,
% 1.21/1.62 Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.21/1.62 Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.21/1.62 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 'c_List_Olist_ONil' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'(
% 1.21/1.62 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.21/1.62 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ],
% 1.21/1.62 [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'(
% 1.21/1.62 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 'tc_nat' ), Z )
% 1.21/1.62 , 'c_List_Otake'( Y, X, Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.21/1.62 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 1.21/1.62 'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.21/1.62 , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.21/1.62 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.21/1.62 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.21/1.62 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.21/1.62 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 'c_0'
% 1.21/1.62 ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.21/1.62 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 1.21/1.62 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.21/1.62 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 'c_List_Oupt'( X,
% 1.21/1.62 'c_plus'( X, Y, 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.21/1.62 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( X, Y, Z ), Z
% 1.21/1.62 ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ],
% 1.21/1.62 [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.21/1.62 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( X, 'c_Suc'( Y
% 1.21/1.62 ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 'c_List_Olist_OCons'( Y,
% 1.21/1.62 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 'c_Suc'( Y ) )
% 1.21/1.62 , 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 'c_lessequals'(
% 1.21/1.62 Y, X, 'tc_nat' ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( Y, X ),
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.62 'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'(
% 1.21/1.62 X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.21/1.62 [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.62 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Y )
% 1.21/1.62 ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 'c_List_Ozip'(
% 1.21/1.62 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 'c_append'(
% 1.21/1.62 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 'tc_prod'( Y, T
% 1.21/1.62 ) ) ) ],
% 1.21/1.62 [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 1.21/1.62 T, U, W ), Z, W ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, T,
% 1.21/1.62 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 'c_Map_Omap__of'(
% 1.21/1.62 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 'c_Datatype_Ooption_ONone' ) ),
% 1.21/1.62 ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( T,
% 1.21/1.62 'tc_List_Olist'( U ) ) ) ) ],
% 1.21/1.62 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.62 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X, Y ), Y ), =(
% 1.21/1.62 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ),
% 1.21/1.62 'c_Datatype_Ooption_ONone' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.21/1.62 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 'tc_nat' ), X,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 'c_minus'( Y, X
% 1.21/1.62 , 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 'tc_nat' ), X,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_Suc'(
% 1.21/1.62 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X,
% 1.21/1.62 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 'c_Suc'(
% 1.21/1.62 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ),
% 1.21/1.62 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 'c_minus'( Y,
% 1.21/1.62 X, 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_minus'( Y,
% 1.21/1.62 X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 'tc_nat' ), Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.21/1.62 ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 'c_NatArith_Oof__nat'(
% 1.21/1.62 Y, X ), 'c_1', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 'c_0',
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 'c_0',
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 'tc_nat'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( Z, Y, 'tc_nat' )
% 1.21/1.62 , X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 'c_NatArith_Oof__nat'( Y
% 1.21/1.62 , X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y, Z
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z,
% 1.21/1.62 X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'(
% 1.21/1.62 Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ),
% 1.21/1.62 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ),
% 1.21/1.62 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 'c_times'(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 ), 'c_1' ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_plus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y
% 1.21/1.62 , X ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.21/1.62 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =(
% 1.21/1.62 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ),
% 1.21/1.62 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.21/1.62 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.21/1.62 X, 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.21/1.62 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( X ) ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.21/1.62 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.21/1.62 , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.21/1.62 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0'
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 'c_plus'(
% 1.21/1.62 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ), 'c_0' ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.21/1.62 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( X
% 1.21/1.62 ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.21/1.62 X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.21/1.62 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.21/1.62 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.21/1.62 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.21/1.62 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.21/1.62 ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.21/1.62 Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.21/1.62 , 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.21/1.62 ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( X, Y ), 'tc_nat' ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' ), 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.21/1.62 [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.21/1.62 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.62 ), 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1',
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.62 =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.21/1.62 , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.21/1.62 ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_IntDef_Onat'( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), X ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'(
% 1.21/1.62 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 'tc_nat' ), 'c_div'(
% 1.21/1.62 X, 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.21/1.62 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.62 ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.21/1.62 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.21/1.62 ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.21/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ),
% 1.21/1.62 X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.21/1.62 ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.21/1.62 ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.21/1.62 , 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.21/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'(
% 1.21/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'(
% 1.21/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.21/1.62 X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.21/1.62 , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'(
% 1.21/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'(
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.21/1.62 ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.21/1.62 , X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.21/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.21/1.62 ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.21/1.62 , T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'(
% 1.21/1.62 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.21/1.62 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.21/1.62 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.21/1.62 , X ), 'c_less'( 'c_0', Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.21/1.62 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.21/1.62 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.21/1.62 , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.21/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.21/1.62 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.21/1.62 ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.21/1.62 ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.62 ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.21/1.62 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.62 ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.21/1.62 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.21/1.62 ) ), ~( =( 'c_uminus'( Y, X ), 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.21/1.62 ) ), =( 'c_uminus'( 'c_uminus'( 'c_1', X ), X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Ofield'(
% 1.21/1.62 X ) ), =( 'c_HOL_Oinverse'( 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.21/1.62 'c_divide'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'(
% 1.21/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'(
% 1.21/1.62 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.21/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'(
% 1.21/1.62 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.21/1.62 , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.21/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.21/1.62 T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.21/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.21/1.62 , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.21/1.62 ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.21/1.62 ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.21/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.21/1.62 ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ),
% 1.21/1.62 X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.21/1.62 T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.21/1.62 ), X ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.21/1.62 ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ),
% 1.21/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.21/1.62 X ) ), =( 'c_times'( 'c_minus'( Y, Z, X ), 'c_Numeral_Onumber__of'( T, X
% 1.21/1.62 ), X ), 'c_minus'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z,
% 1.21/1.62 X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y,
% 1.21/1.62 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.21/1.62 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'(
% 1.21/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.21/1.62 , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.21/1.62 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'(
% 1.21/1.62 Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ),
% 1.21/1.62 X ), X ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.21/1.62 , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z,
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'(
% 1.21/1.62 'c_divide'( 'c_1', Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.21/1.62 , Y, X ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ),
% 1.21/1.62 'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'(
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'(
% 1.21/1.62 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_1' ) ],
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ),
% 1.21/1.62 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.21/1.62 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.21/1.62 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.21/1.62 X ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X
% 1.21/1.62 ), X ), 'c_minus'( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.21/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.21/1.62 ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.21/1.62 , Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0',
% 1.21/1.62 X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.21/1.62 , Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.21/1.62 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.21/1.62 'c_0', X ), 'c_less'( 'c_0', Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.21/1.62 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ),
% 1.21/1.62 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 1.21/1.62 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 1.21/1.62 'c_Suc'( Y ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.21/1.62 , 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.21/1.62 , 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 'c_minus'( X, 'c_Suc'(
% 1.21/1.62 'c_0' ), 'tc_nat' ) ), X ) ],
% 1.21/1.62 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.21/1.62 [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.21/1.62 [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.21/1.62 'tc_nat' ) ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 1.21/1.62 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.21/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_minus'( X, Y
% 1.21/1.62 , 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, 'c_Suc'(
% 1.21/1.62 Y ), 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( X
% 1.21/1.62 , 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 'c_lessequals'( X, Y,
% 1.21/1.62 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y, 'tc_nat' )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.21/1.62 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.21/1.62 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 'c_minus'( Y, X
% 1.21/1.62 , 'tc_nat' ), 'tc_nat' ), Y ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.21/1.62 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.21/1.62 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 'c_times'( X,
% 1.21/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ) ) ),
% 1.21/1.62 =( Y, Z ), =( X, 'c_0' ) ],
% 1.21/1.62 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 'tc_nat' ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ) ) ),
% 1.21/1.62 =( X, Z ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 'tc_nat' ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( X, 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( Y, 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ), =( X,
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( X,
% 1.21/1.62 Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( X, Y,
% 1.21/1.62 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( Z, X
% 1.21/1.62 , 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.21/1.62 X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( Y, X,
% 1.21/1.62 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( X, Z
% 1.21/1.62 , 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.21/1.62 ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ) ) ), =( Y
% 1.21/1.62 , Z ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_plus'( Z, X
% 1.21/1.62 , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X, 'tc_nat' )
% 1.21/1.62 , 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ), =( X
% 1.21/1.62 , Z ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( X, 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_1', Y
% 1.21/1.62 , 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( Y, X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 'c_times'( X,
% 1.21/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.21/1.62 [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.21/1.62 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_less'( Y, X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_minus'( Y, X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_OMin' ) ],
% 1.21/1.62 [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'c_Numeral_OPls' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.21/1.62 , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.21/1.62 Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.21/1.62 ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.21/1.62 Y, Z ), X ), T, X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.21/1.62 , 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X
% 1.21/1.62 , Y ), Z ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ),
% 1.21/1.62 'c_Numeral_Obin__pred'( X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ),
% 1.21/1.62 'c_Numeral_Obin__pred'( X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__minus'( Y ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 'c_1', X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0'
% 1.21/1.62 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1'
% 1.21/1.62 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 'c_Numeral_Obin__minus'(
% 1.21/1.62 X ) ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 'c_Numeral_OPls' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.21/1.62 , Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X, Y ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 , Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.21/1.62 , Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ),
% 1.21/1.62 'c_Numeral_Obin__minus'( X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 'c_Numeral_OPls' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.21/1.62 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 'c_Numeral_Obit_OB1' )
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 'c_Numeral_OMin' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.21/1.62 'c_IntDef_Oiszero'( 'c_1', X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.21/1.62 , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.21/1.62 , X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_1', X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.21/1.62 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 'c_Numeral_Obit_OB0' )
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 'c_Numeral_OPls' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.21/1.62 ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OPls', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), X ), 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 1.21/1.62 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 'c_0'
% 1.21/1.62 , 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 'c_0',
% 1.21/1.62 'c_HOL_Oabs'( 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.21/1.62 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ),
% 1.21/1.62 X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =(
% 1.21/1.62 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.21/1.62 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.21/1.62 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.62 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.21/1.62 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( Y,
% 1.21/1.62 X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( Y,
% 1.21/1.62 'c_0', X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ),
% 1.21/1.62 'c_plus'( T, Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 1.21/1.62 'c_plus'( Z, T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.21/1.62 Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'(
% 1.21/1.62 Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z
% 1.21/1.62 , X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'(
% 1.21/1.62 Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T
% 1.21/1.62 , X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.21/1.62 Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 1.21/1.62 , Y, X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( 'c_0', Y
% 1.21/1.62 , X ), 'c_uminus'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 'c_0'
% 1.21/1.62 , X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_minus'( Y, Z
% 1.21/1.62 , X ), 'c_0' ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y,
% 1.21/1.62 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, Y, X
% 1.21/1.62 ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X ),
% 1.21/1.62 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ),
% 1.21/1.62 'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.21/1.62 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.21/1.62 'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.21/1.62 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.21/1.62 'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 1.21/1.62 ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_uminus'( Y, X ), X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y,
% 1.21/1.62 X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( Y, 'c_1',
% 1.21/1.62 X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_0',
% 1.21/1.62 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0', 'c_uminus'(
% 1.21/1.62 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( Y, X
% 1.21/1.62 ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.21/1.62 ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_0',
% 1.21/1.62 X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.21/1.62 ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_uminus'( Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 'c_0',
% 1.21/1.62 Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ),
% 1.21/1.62 'c_uminus'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_uminus'( Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.21/1.62 'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ),
% 1.21/1.62 'c_OrderedGroup_Onprt'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.21/1.62 'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X ),
% 1.21/1.62 'c_OrderedGroup_Opprt'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y,
% 1.21/1.62 'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.21/1.62 Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.21/1.62 Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X ), Z, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 'c_Orderings_Omin'(
% 1.21/1.62 T, Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, Y, X
% 1.21/1.62 ), Y ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Y, Z, X ), X ), 'c_Orderings_Omin'( Y, Z, X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T,
% 1.21/1.62 Y, X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, Y, X
% 1.21/1.62 ), Y ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y,
% 1.21/1.62 'c_Orderings_Omax'( Y, Z, X ), X ), 'c_Orderings_Omax'( Y, Z, X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat'
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.21/1.62 , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.21/1.62 , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint'
% 1.21/1.62 ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_Suc'( X
% 1.21/1.62 ), 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 'c_Suc'( X ),
% 1.21/1.62 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat'
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( X,
% 1.21/1.62 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( Y,
% 1.21/1.62 X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( Y
% 1.21/1.62 , X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( X
% 1.21/1.62 , Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat'
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 'tc_nat' ),
% 1.21/1.62 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.21/1.62 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.21/1.62 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.21/1.62 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.21/1.62 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.21/1.62 ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'(
% 1.21/1.62 'c_1', X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.21/1.62 ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.21/1.62 ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.21/1.62 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ),
% 1.21/1.62 =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X,
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, 'tc_nat' ), X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), =( Z, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.21/1.62 ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.21/1.62 , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.21/1.62 , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'(
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.21/1.62 ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.21/1.62 X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ),
% 1.21/1.62 'c_Nat_Opower'( Z, Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'(
% 1.21/1.62 'c_Nat_Opower'( Z, Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.21/1.62 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_lessequals'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.21/1.62 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.21/1.62 , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.21/1.62 ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.21/1.62 , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.21/1.62 ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.21/1.62 'tc_nat' ), X ), X ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_Nat_Opower'(
% 1.21/1.62 X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'(
% 1.21/1.62 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' ), 'tc_nat' ) )
% 1.21/1.62 , =( X, 'c_0' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X,
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'tc_nat' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ],
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( X,
% 1.21/1.62 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Suc'(
% 1.21/1.62 Y ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.21/1.62 Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.21/1.62 Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y,
% 1.21/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.21/1.62 , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.21/1.62 , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.21/1.62 , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.21/1.62 , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ),
% 1.21/1.62 =( Z, T ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', Y, X ),
% 1.21/1.62 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_1', X ), Y
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.21/1.62 , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.21/1.62 ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z,
% 1.21/1.62 'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T,
% 1.21/1.62 Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_0', X ),
% 1.21/1.62 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ],
% 1.21/1.62 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ],
% 1.21/1.62 [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ],
% 1.21/1.62 [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ),
% 1.21/1.62 'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z ), X ) ],
% 1.21/1.62 [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X ) ],
% 1.21/1.62 [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y, Y ),
% 1.21/1.62 'c_inter'( X, Z, Y ) ) ],
% 1.21/1.62 [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.21/1.62 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.21/1.62 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y ), X ) ],
% 1.21/1.62 [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ],
% 1.21/1.62 [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 'c_Relation_OId'
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.21/1.62 X ) ],
% 1.21/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y, Y ),
% 1.21/1.62 'c_Relation_Odiag'( X, Y ) ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.21/1.62 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 1.21/1.62 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 1.21/1.62 Z ) ) ],
% 1.21/1.62 [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.21/1.62 ) ), =( X, Y ) ],
% 1.21/1.62 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y ) ) ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y ) ) ),
% 1.21/1.62 'c_Relation_OId' ) ],
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( Z, Z ) ) ),
% 1.21/1.62 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 'tc_prod'( Z
% 1.21/1.62 , Z ) ) ), Z, Z, Z ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ),
% 1.21/1.62 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_1', X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_0',
% 1.21/1.62 'c_1' ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_1', X
% 1.21/1.62 ), Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.21/1.62 'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.21/1.62 'c_divide'( 'c_0', Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.21/1.62 'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.21/1.62 'c_divide'( Z, 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, Z,
% 1.21/1.62 X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( Z,
% 1.21/1.62 T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.21/1.62 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.21/1.62 'c_1' ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.21/1.62 'c_0', X ), 'c_1' ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, Z,
% 1.21/1.62 X ), 'c_1' ) ), =( Z, Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.21/1.62 'c_divide'( Y, Y, X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.21/1.62 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.21/1.62 ), 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.21/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.21/1.62 ), 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 'c_1', X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'(
% 1.21/1.62 Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( Z,
% 1.21/1.62 X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.21/1.62 Y, 'c_0', X ) ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.21/1.62 Y, Z, X ) ) ), =( Z, Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 'c_1'
% 1.21/1.62 , 'c_divide'( Y, Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.21/1.62 , 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', Y, X )
% 1.21/1.62 , 'c_times'( 'c_0', Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.21/1.62 , 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_0', X )
% 1.21/1.62 , 'c_times'( Z, 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_divide'(
% 1.21/1.62 Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.21/1.62 'c_1' ) ), =( Y, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X ),
% 1.21/1.62 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.21/1.62 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), X ), Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.21/1.62 ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.21/1.62 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ),
% 1.21/1.62 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.21/1.62 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ),
% 1.21/1.62 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_uminus'(
% 1.21/1.62 Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( Y
% 1.21/1.62 , Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z,
% 1.21/1.62 X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.21/1.62 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X ),
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.21/1.62 Z, Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.21/1.62 Z, Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, X )
% 1.21/1.62 , 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.21/1.62 , X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.21/1.62 Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.21/1.62 'c_0', Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( Y
% 1.21/1.62 , 'c_1', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.21/1.62 , Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.21/1.62 Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.21/1.62 Y, 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'(
% 1.21/1.62 'c_1', Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.21/1.62 , Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.21/1.62 'c_0', Y, X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.21/1.62 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.21/1.62 Y, X ), 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.21/1.62 'c_times'( Y, Z, X ), Y, X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.21/1.62 Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.21/1.62 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.21/1.62 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.21/1.62 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.21/1.62 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.21/1.62 'c_times'( Z, Y, X ), Y, X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.21/1.62 'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.21/1.62 'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.21/1.62 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.21/1.62 , X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y, 'c_uminus'(
% 1.21/1.62 Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_0', Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.21/1.62 Y, 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_1', 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_1', 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 'c_1'
% 1.21/1.62 , Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1',
% 1.21/1.62 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z, X
% 1.21/1.62 ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_1',
% 1.21/1.62 'c_0' ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_less'( 'c_0'
% 1.21/1.62 , 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.21/1.62 Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_divide'(
% 1.21/1.62 Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y
% 1.21/1.62 , Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y,
% 1.21/1.62 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.21/1.62 'c_divide'( Z, Y, X ), Y, X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 'c_divide'(
% 1.21/1.62 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y,
% 1.21/1.62 'c_divide'( Z, Y, X ), X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 'c_divide'(
% 1.21/1.62 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'(
% 1.21/1.62 'c_1', 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OlessThan'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OatMost'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OatLeast'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), =(
% 1.21/1.62 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastAtMost'( T
% 1.21/1.62 , Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_SetInterval_OatLeastAtMost'(
% 1.21/1.62 Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastLessThan'(
% 1.21/1.62 T, Z, X ), X ) ],
% 1.21/1.62 [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 'tc_nat' ),
% 1.21/1.62 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 1.21/1.62 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 1.21/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 1.21/1.62 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 'c_0',
% 1.21/1.62 'c_emptyset', 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 1.21/1.62 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 1.21/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 1.21/1.62 Z, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'(
% 1.21/1.62 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.21/1.62 , 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'c_Suc'( X ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.21/1.62 , 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y,
% 1.21/1.62 'c_plus'( X, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y,
% 1.21/1.62 T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_lessequals'( Z, T, X ) ), 'c_in'( Z,
% 1.21/1.62 'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_less'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OgreaterThanLessThan'( T
% 1.21/1.62 , Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.21/1.62 ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.21/1.62 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.21/1.62 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.21/1.62 'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.21/1.62 'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( U, Y, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 1.21/1.62 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.21/1.62 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 1.21/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 1.21/1.62 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 'c_insert'( Y,
% 1.21/1.62 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.21/1.62 [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.21/1.62 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 'c_union'(
% 1.21/1.62 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 'c_inter'(
% 1.21/1.62 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 'c_emptyset' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 'c_emptyset' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.21/1.62 ), =( X, Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 1.21/1.62 Z ) ) ],
% 1.21/1.62 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 1.21/1.62 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 1.21/1.62 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.21/1.62 'c_inter'( X, Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_emptyset' )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ],
% 1.21/1.62 [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ),
% 1.21/1.62 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( X, Y,
% 1.21/1.62 'tc_set'( Z ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 'tc_set'( Z ) ),
% 1.21/1.62 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.21/1.62 , Z ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.21/1.62 , 'tc_set'( Z ) ), Z ) ],
% 1.21/1.62 [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z ), 'tc_set'( Z
% 1.21/1.62 ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ],
% 1.21/1.62 [ =( 'c_inter'( X, X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 1.21/1.62 T, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.21/1.62 'c_lessequals'( X, Y, 'tc_set'( T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.21/1.62 'c_lessequals'( X, Z, 'tc_set'( T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T,
% 1.21/1.62 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T, Y, Z ), 'tc_set'( Z )
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z ), 'c_UNIV'
% 1.21/1.62 ) ), =( X, 'c_UNIV' ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.21/1.62 , =( 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.21/1.62 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 'c_Inter'( Y, Z )
% 1.21/1.62 ) ), =( X, 'c_UNIV' ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.21/1.62 , =( 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.21/1.62 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.21/1.62 [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.21/1.62 ) ), 'c_in'( T, X, Z ) ],
% 1.21/1.62 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInter__iff__1'( X
% 1.21/1.62 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.21/1.62 'c_Inter'( Y, Z ), Z ) ],
% 1.21/1.62 [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_inter'( X,
% 1.21/1.62 'c_Inter'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( X, Z ),
% 1.21/1.62 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ],
% 1.21/1.62 [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 'c_emptyset'
% 1.21/1.62 , 'tc_set'( X ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.21/1.62 , 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.21/1.62 , 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.21/1.62 [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X,
% 1.21/1.62 Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.21/1.62 Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_union'( X, X, Y ), X ) ],
% 1.21/1.62 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 1.21/1.62 X, Y, T ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.21/1.62 [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'(
% 1.21/1.62 Y, T, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( Y, 'c_union'(
% 1.21/1.62 X, Z, T ), T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.21/1.62 'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.21/1.62 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y,
% 1.21/1.62 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'(
% 1.21/1.62 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z ),
% 1.21/1.62 'c_emptyset' ) ), =( X, 'c_emptyset' ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.21/1.62 =( 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.21/1.62 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.21/1.62 'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.21/1.62 'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.21/1.62 , 'c_Union'( T, Z ), Z ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.21/1.62 'c_Union'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), =( X,
% 1.21/1.62 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X, T, Z ), Z )
% 1.21/1.62 , 'c_emptyset' ) ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 'c_emptyset' ) ), =(
% 1.21/1.62 'c_inter'( X, Z, T ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, X, Z ), =(
% 1.21/1.62 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y, 'c_insert'(
% 1.21/1.62 X, T, Z ), Z ) ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), T ) ) ), =(
% 1.21/1.62 'c_emptyset', 'c_inter'( X, Z, T ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, X, Z ), =(
% 1.21/1.62 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( Y ) ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 'c_Union'( Y,
% 1.21/1.62 Z ) ) ), =( X, 'c_emptyset' ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.21/1.62 =( 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.21/1.62 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z ), Y,
% 1.21/1.62 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ],
% 1.21/1.62 [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset', Z ),
% 1.21/1.62 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( X, Y, Z ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T, Z ), Y, Z )
% 1.21/1.62 , 'c_emptyset' ) ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 'c_emptyset' ) ), =(
% 1.21/1.62 'c_inter'( Y, T, Z ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, Y, Z ), =(
% 1.21/1.62 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X,
% 1.21/1.62 T, Z ), Y, Z ) ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ) ) ), =(
% 1.21/1.62 'c_emptyset', 'c_inter'( Y, T, Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, Y, Z ), =(
% 1.21/1.62 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.21/1.62 ) ],
% 1.21/1.62 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.21/1.62 [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z ), Z ),
% 1.21/1.63 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ],
% 1.21/1.63 [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ],
% 1.21/1.63 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'(
% 1.21/1.63 X, T, Z ) ],
% 1.21/1.63 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.21/1.63 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ),
% 1.21/1.63 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.21/1.63 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.21/1.63 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 1.21/1.63 Z, X ) ],
% 1.21/1.63 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 1.21/1.63 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.21/1.63 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.21/1.63 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 1.21/1.63 X, T ) ],
% 1.21/1.63 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 1.21/1.63 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.21/1.63 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.21/1.63 [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ],
% 1.21/1.63 [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), =( X,
% 1.21/1.63 'c_emptyset' ) ],
% 1.21/1.63 [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X ) ) ],
% 1.21/1.63 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.21/1.63 , =( X, T ) ],
% 1.21/1.63 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.21/1.63 , =( X, T ) ],
% 1.21/1.63 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.21/1.63 ],
% 1.21/1.63 [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.21/1.63 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 1.21/1.63 Y ), 'c_UNIV' ) ],
% 1.21/1.63 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.21/1.63 ), 'c_UNIV' ) ],
% 1.21/1.63 [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.21/1.63 'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.21/1.63 X, Y ) ) ],
% 1.21/1.63 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ),
% 1.21/1.63 'c_Relation_OId' ) ],
% 1.21/1.63 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.21/1.63 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.21/1.63 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.21/1.63 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.21/1.63 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.21/1.63 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.21/1.63 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.21/1.63 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.21/1.63 [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 'c_emptyset' )
% 1.21/1.63 ],
% 1.21/1.63 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.21/1.63 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.21/1.63 [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.21/1.63 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 1.21/1.63 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.21/1.63 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.21/1.63 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 1.21/1.63 T, Z ) ],
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.21/1.63 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.21/1.63 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.21/1.63 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 1.21/1.63 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.21/1.63 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.21/1.63 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.21/1.63 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.21/1.63 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.21/1.63 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 1.21/1.63 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.21/1.63 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, Z
% 1.21/1.63 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 1.21/1.63 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.21/1.63 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.21/1.63 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 1.21/1.63 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 1.21/1.63 'tc_nat' ) ) ],
% 1.21/1.63 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.21/1.63 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.63 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.21/1.63 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.63 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 1.21/1.63 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 1.21/1.63 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 1.21/1.63 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.21/1.63 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.21/1.63 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.21/1.63 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.21/1.63 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.21/1.63 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 1.21/1.63 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 1.21/1.63 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.63 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.63 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.21/1.63 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.63 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.21/1.63 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.63 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.21/1.63 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.63 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.21/1.63 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.21/1.63 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.21/1.63 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.21/1.63 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.21/1.63 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.21/1.63 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.63 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.21/1.63 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.21/1.63 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.21/1.63 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.21/1.63 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.63 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.21/1.63 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 1.21/1.63 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 1.21/1.63 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 1.21/1.63 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.21/1.63 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.21/1.63 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 1.21/1.63 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.21/1.63 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 1.21/1.63 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.21/1.63 ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 1.21/1.63 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.21/1.63 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.21/1.63 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.21/1.63 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.21/1.63 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 1.21/1.63 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.21/1.63 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 1.21/1.63 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.21/1.63 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 1.21/1.63 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 1.21/1.63 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 1.21/1.63 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.63 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.63 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.63 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.21/1.63 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 1.21/1.63 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.21/1.63 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.21/1.63 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.21/1.63 , 'tc_set'( Y ) ) ],
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.21/1.63 ) ), X, 'tc_nat' ) ],
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.21/1.63 ) ), Y, 'tc_nat' ) ],
% 1.21/1.63 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 1.21/1.63 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.21/1.63 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.21/1.63 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.21/1.63 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.63 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 1.21/1.63 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.21/1.63 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.21/1.63 ) ) ],
% 1.21/1.63 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.21/1.63 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.21/1.63 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.21/1.63 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 1.21/1.63 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 1.21/1.63 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.21/1.63 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 1.21/1.63 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.21/1.63 'tc_nat' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.21/1.63 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.21/1.63 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 1.21/1.63 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 1.21/1.63 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.21/1.63 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.21/1.63 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.21/1.63 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 1.21/1.63 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.21/1.63 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.21/1.63 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.21/1.63 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.21/1.63 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 1.21/1.63 'tc_prod'( Z, Z ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.21/1.63 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.21/1.63 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 1.21/1.63 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 1.21/1.63 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.21/1.63 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.21/1.63 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.21/1.63 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 1.21/1.63 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.21/1.63 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.21/1.63 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.21/1.63 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.21/1.63 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 1.21/1.63 'tc_prod'( T, T ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.21/1.63 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.21/1.63 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.21/1.63 'c_List_Olist_ONil' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.21/1.63 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.21/1.63 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.21/1.63 'c_List_Olist_ONil' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.21/1.63 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.21/1.63 'tc_List_Olist'( Z ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.21/1.63 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.21/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 1.21/1.63 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 1.21/1.63 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 1.21/1.63 Y ) ) ],
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.21/1.63 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 1.21/1.63 Y ) ) ],
% 1.21/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.21/1.63 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.21/1.63 ) ) ],
% 1.21/1.63 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.63 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.63 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.21/1.63 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.21/1.63 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 1.21/1.63 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.21/1.63 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.21/1.63 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 1.21/1.63 T, U ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 1.21/1.63 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 1.21/1.63 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.21/1.63 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.21/1.63 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 1.21/1.63 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.21/1.63 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 1.21/1.63 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.21/1.63 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.21/1.63 , Z, Z ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 1.21/1.63 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.21/1.63 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 1.21/1.63 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.21/1.63 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 1.21/1.63 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.21/1.63 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.21/1.63 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.21/1.63 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.21/1.63 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 1.21/1.63 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.21/1.63 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 1.21/1.63 T ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 1.21/1.63 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.63 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 1.21/1.63 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.63 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.21/1.63 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 1.21/1.63 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.63 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 1.21/1.63 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.21/1.63 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.21/1.63 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.63 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 1.21/1.63 Z ), Y, 'tc_set'( Z ) ) ],
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% 1.21/1.63 'c_Inter'( Y, Z ), Z ) ],
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% 1.21/1.63 'tc_set'( Z ) ) ) ],
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% 1.21/1.63 Z ) ), =( X, Y ) ],
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% 1.21/1.63 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
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% 1.21/1.63 ) ) ), =( X, Z ) ],
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% 1.21/1.63 'c_in'( X, T, Z ) ],
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% 1.21/1.63 'tc_set'( Z ) ) ), =( Y, X ) ],
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% 1.21/1.63 ,
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% 1.21/1.63 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
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% 1.21/1.63 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
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% 1.21/1.63 ), 'tc_prod'( Y, Y ) ) ],
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% 1.21/1.63 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
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% 1.21/1.63 ) ],
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% 1.21/1.63 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 1.21/1.63 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 1.21/1.63 ],
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% 1.21/1.63 ) ],
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% 1.21/1.63 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.63 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 1.21/1.63 ],
% 1.21/1.63 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.21/1.63 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.21/1.63 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
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% 1.21/1.63 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 1.21/1.63 ,
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% 1.21/1.63 ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 1.21/1.63 ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 1.21/1.63 ],
% 1.21/1.63 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 1.21/1.63 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.21/1.63 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.21/1.63 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.63 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.63 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.21/1.63 [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 1.21/1.63 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 1.21/1.63 [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.21/1.63 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.21/1.63 ],
% 1.21/1.63 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 1.21/1.63 [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
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% 1.21/1.63 [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
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% 1.21/1.63 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
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% 1.21/1.63 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
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% 1.21/1.63 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.21/1.63 ],
% 1.21/1.63 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.21/1.63 ) ],
% 1.21/1.63 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
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% 1.21/1.63 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
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% 1.21/1.63 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
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% 1.21/1.63 ],
% 1.21/1.63 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
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% 1.21/1.63 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
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% 1.21/1.63 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.21/1.63 ],
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% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
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% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
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% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
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% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
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% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
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% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.21/1.63 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.21/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.21/1.63 ],
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% 1.21/1.63 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_HOL_Ominus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_HOL_Ominus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_HOL_Ominus'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_HOL_Ominus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.21/1.63 ],
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% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_HOL_Ominus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.63 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.63 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.63 , 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.63 , 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.63 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.63 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.63 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.63 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.63 , 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.21/1.63 'class_HOL_Oone'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.21/1.63 'class_HOL_Ominus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
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% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 1.21/1.63 'class_HOL_Otimes'( X ) ],
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% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.21/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
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% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
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% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.21/1.63 ,
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% 1.21/1.63 ,
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% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
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% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.21/1.63 X ) ],
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% 1.21/1.63 X ) ],
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% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 1.21/1.63 X ) ],
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% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ofield'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_HOL_Oinverse'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oidom'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oidom'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Ominus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_LOrder_Olorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
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% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_HOL_Ominus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 1.21/1.63 X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_Orderings_Oorder'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_Orderings_Oord'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Otimes'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Oplus'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_HOL_Ozero'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.21/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.25/1.64 ,
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 1.25/1.64 ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 1.25/1.64 ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 1.25/1.64 ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 1.25/1.64 ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_HOL_Otimes'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_HOL_Oplus'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_HOL_Ozero'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 1.25/1.64 ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 1.25/1.64 ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 1.25/1.64 ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 1.25/1.64 ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_HOL_Oone'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_HOL_Otimes'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_HOL_Ozero'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_HOL_Oplus'( X ) ],
% 1.25/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.64 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.25/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.64 'class_Orderings_Oord'( X ) ],
% 1.25/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.64 'class_Orderings_Oorder'( X ) ],
% 1.25/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.64 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.25/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.64 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.25/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.64 'class_LOrder_Olorder'( X ) ],
% 1.25/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.64 'class_Orderings_Olinorder'( X ) ],
% 1.25/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.25/1.64 'c_SetsAndFunctions_Oelt__set__times'( 'c_1', Y, X ), Y ) ],
% 1.25/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.64 'c_SetsAndFunctions_Oelt__set__plus'( 'c_0', Y, X ), Y ) ],
% 1.25/1.64 [ 'c_lessequals'( 'c_0', 'v_h'( X, Y ), 't_c' ) ],
% 1.25/1.64 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X, Y ), 't_c' ), 'c_times'( 'v_x'
% 1.25/1.64 , 'v_h'( X, Y ), 't_c' ), 't_c' ) ],
% 1.25/1.64 [ 'c_in'( 'v_xb', 'v_A'( 'v_xa' ), 't_b' ) ],
% 1.25/1.64 [ ~( 'c_lessequals'( 'c_0', 'v_h'( 'v_xa', 'v_xb' ), 't_c' ) ) ],
% 1.25/1.64 [ 'class_Ring__and__Field_Oordered__idom'( 't_c' ) ]
% 1.25/1.64 ] .
% 1.25/1.64
% 1.25/1.64
% 1.25/1.64 percentage equality = 0.208053, percentage horn = 0.910959
% 1.25/1.64 This is a problem with some equality
% 1.25/1.64
% 1.25/1.64
% 1.25/1.64
% 1.25/1.64 Options Used:
% 1.25/1.64
% 1.25/1.64 useres = 1
% 1.25/1.64 useparamod = 1
% 1.25/1.64 useeqrefl = 1
% 1.25/1.64 useeqfact = 1
% 1.25/1.64 usefactor = 1
% 1.25/1.64 usesimpsplitting = 0
% 1.25/1.64 usesimpdemod = 5
% 1.25/1.64 usesimpres = 3
% 1.25/1.64
% 1.25/1.64 resimpinuse = 1000
% 1.25/1.64 resimpclauses = 20000
% 1.25/1.64 substype = eqrewr
% 1.25/1.64 backwardsubs = 1
% 1.25/1.64 selectoldest = 5
% 1.25/1.64
% 1.25/1.64 litorderings [0] = split
% 1.25/1.64 litorderings [1] = extend the termordering, first sorting on arguments
% 1.25/1.64
% 1.25/1.64 termordering = kbo
% 1.25/1.64
% 1.25/1.64 litapriori = 0
% 1.25/1.64 termapriori = 1
% 1.25/1.64 litaposteriori = 0
% 1.25/1.64 termaposteriori = 0
% 1.25/1.64 demodaposteriori = 0
% 1.25/1.64 ordereqreflfact = 0
% 1.25/1.64
% 1.25/1.64 litselect = negord
% 1.25/1.64
% 1.25/1.64 maxweight = 15
% 1.25/1.64 maxdepth = 30000
% 1.25/1.64 maxlength = 115
% 1.25/1.64 maxnrvars = 195
% 1.25/1.64 excuselevel = 1
% 1.25/1.64 increasemaxweight = 1
% 1.25/1.64
% 1.25/1.64 maxselected = 10000000
% 1.25/1.64 maxnrclauses = 10000000
% 1.25/1.64
% 1.25/1.64 showgenerated = 0
% 1.25/1.64 showkept = 0
% 1.25/1.64 showselected = 0
% 1.25/1.64 showdeleted = 0
% 1.25/1.64 showresimp = 1
% 1.25/1.64 showstatus = 2000
% 1.25/1.64
% 1.25/1.64 prologoutput = 1
% 1.25/1.64 nrgoals = 5000000
% 1.25/1.64 totalproof = 1
% 1.25/1.64
% 1.25/1.64 Symbols occurring in the translation:
% 1.25/1.64
% 1.25/1.64 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.25/1.64 . [1, 2] (w:1, o:239, a:1, s:1, b:0),
% 1.25/1.64 ! [4, 1] (w:0, o:146, a:1, s:1, b:0),
% 1.25/1.64 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.64 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.64 'class_HOL_Oplus' [40, 1] (w:1, o:152, a:1, s:1, b:0),
% 1.25/1.64 'c_in' [43, 3] (w:1, o:343, a:1, s:1, b:0),
% 1.25/1.64 'c_plus' [45, 3] (w:1, o:344, a:1, s:1, b:0),
% 1.25/1.64 'c_SetsAndFunctions_Oelt__set__plus' [46, 3] (w:1, o:348, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'tc_set' [48, 1] (w:1, o:153, a:1, s:1, b:0),
% 1.25/1.64 'c_lessequals' [51, 3] (w:1, o:349, a:1, s:1, b:0),
% 1.25/1.64 'class_OrderedGroup_Ocomm__monoid__add' [52, 1] (w:1, o:157, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'class_HOL_Otimes' [53, 1] (w:1, o:158, a:1, s:1, b:0),
% 1.25/1.64 'c_times' [54, 3] (w:1, o:351, a:1, s:1, b:0),
% 1.25/1.64 'c_SetsAndFunctions_Oelt__set__times' [55, 3] (w:1, o:352, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'class_OrderedGroup_Ocomm__monoid__mult' [56, 1] (w:1, o:159, a:1, s:
% 1.25/1.64 1, b:0),
% 1.25/1.64 'tc_fun' [59, 2] (w:1, o:264, a:1, s:1, b:0),
% 1.25/1.64 'class_OrderedGroup_Ocancel__semigroup__add' [60, 1] (w:1, o:160, a:1
% 1.25/1.64 , s:1, b:0),
% 1.25/1.64 'class_OrderedGroup_Oab__group__add' [61, 1] (w:1, o:161, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'class_OrderedGroup_Ocancel__ab__semigroup__add' [62, 1] (w:1, o:162
% 1.25/1.64 , a:1, s:1, b:0),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__mult' [63, 1] (w:1, o:163, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'class_OrderedGroup_Oab__semigroup__mult' [64, 1] (w:1, o:164, a:1
% 1.25/1.64 , s:1, b:0),
% 1.25/1.64 'class_OrderedGroup_Omonoid__mult' [65, 1] (w:1, o:169, a:1, s:1, b:0
% 1.25/1.64 ),
% 1.25/1.64 'class_Ring__and__Field_Osemiring' [66, 1] (w:1, o:172, a:1, s:1, b:0
% 1.25/1.64 ),
% 1.25/1.64 'class_Ring__and__Field_Ocomm__ring__1' [67, 1] (w:1, o:173, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'class_Ring__and__Field_Ocomm__semiring' [68, 1] (w:1, o:175, a:1, s:
% 1.25/1.64 1, b:0),
% 1.25/1.64 'class_Ring__and__Field_Osemiring__0' [69, 1] (w:1, o:176, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'class_Ring__and__Field_Ocomm__semiring__0' [70, 1] (w:1, o:177, a:1
% 1.25/1.64 , s:1, b:0),
% 1.25/1.64 'class_Ring__and__Field_Osemiring__0__cancel' [71, 1] (w:1, o:178, a:
% 1.25/1.64 1, s:1, b:0),
% 1.25/1.64 'class_Ring__and__Field_Oring' [72, 1] (w:1, o:170, a:1, s:1, b:0),
% 1.25/1.64 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [73, 1] (w:1, o:
% 1.25/1.64 179, a:1, s:1, b:0),
% 1.25/1.64 'class_Ring__and__Field_Ocomm__ring' [74, 1] (w:1, o:174, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'class_Ring__and__Field_Oaxclass__0__neq__1' [75, 1] (w:1, o:180, a:1
% 1.25/1.64 , s:1, b:0),
% 1.25/1.64 'class_Ring__and__Field_Osemiring__1' [76, 1] (w:1, o:181, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'class_Ring__and__Field_Ocomm__semiring__1' [77, 1] (w:1, o:182, a:1
% 1.25/1.64 , s:1, b:0),
% 1.25/1.64 'class_Ring__and__Field_Osemiring__1__cancel' [78, 1] (w:1, o:183, a:
% 1.25/1.64 1, s:1, b:0),
% 1.25/1.64 'class_Ring__and__Field_Oring__1' [79, 1] (w:1, o:171, a:1, s:1, b:0)
% 1.25/1.64 ,
% 1.25/1.64 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [80, 1] (w:1, o:
% 1.25/1.64 184, a:1, s:1, b:0),
% 1.25/1.64 'class_HOL_Ominus' [81, 1] (w:1, o:185, a:1, s:1, b:0),
% 1.25/1.64 'class_HOL_Ozero' [82, 1] (w:1, o:186, a:1, s:1, b:0),
% 1.25/1.64 'class_HOL_Oone' [83, 1] (w:1, o:151, a:1, s:1, b:0),
% 1.25/1.64 'class_OrderedGroup_Osemigroup__add' [84, 1] (w:1, o:187, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'class_OrderedGroup_Oab__semigroup__add' [85, 1] (w:1, o:188, a:1, s:
% 1.25/1.64 1, b:0),
% 1.25/1.64 'c_0' [86, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.25/1.64 'c_Suc' [88, 1] (w:1, o:189, a:1, s:1, b:0),
% 1.25/1.64 'c_Binomial_Obinomial' [89, 2] (w:1, o:265, a:1, s:1, b:0),
% 1.25/1.64 'tc_nat' [92, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.25/1.64 'c_1' [93, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype_Oo2s' [96, 2] (w:1, o:266, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype_Ooption_OSome' [97, 2] (w:1, o:267, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype_Ooption_ONone' [98, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.25/1.64 'c_Main_Onot__None__eq__1' [99, 2] (w:1, o:288, a:1, s:1, b:0),
% 1.25/1.64 'c_Main_Onot__Some__eq__1' [100, 2] (w:1, o:289, a:1, s:1, b:0),
% 1.25/1.64 'c_emptyset' [102, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.25/1.64 'c_insert' [103, 3] (w:1, o:353, a:1, s:1, b:0),
% 1.25/1.64 'tc_Datatype_Ooption' [105, 1] (w:1, o:190, a:1, s:1, b:0),
% 1.25/1.64 'c_Nat_Osize' [106, 2] (w:1, o:302, a:1, s:1, b:0),
% 1.25/1.64 'c_Pair' [108, 4] (w:1, o:409, a:1, s:1, b:0),
% 1.25/1.64 'tc_prod' [109, 2] (w:1, o:303, a:1, s:1, b:0),
% 1.25/1.64 'c_Sum__Type_OInl' [110, 3] (w:1, o:354, a:1, s:1, b:0),
% 1.25/1.64 'tc_sum' [111, 2] (w:1, o:304, a:1, s:1, b:0),
% 1.25/1.64 'c_Sum__Type_OInr' [112, 3] (w:1, o:355, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype_Othe' [113, 2] (w:1, o:305, a:1, s:1, b:0),
% 1.25/1.64 'c_Product__Type_OUnity' [114, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype_Ounit_Ounit__case' [115, 3] (w:1, o:356, a:1, s:1, b:0),
% 1.25/1.64
% 1.25/1.64 'c_Datatype_Ounit_Ounit__rec' [116, 3] (w:1, o:357, a:1, s:1, b:0),
% 1.25/1.64 'tc_Product__Type_Ounit' [117, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_OAtom' [118, 3] (w:1, o:358, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_OScons' [121, 4] (w:1, o:410, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_Odprod' [124, 4] (w:1, o:411, a:1, s:1, b:0),
% 1.25/1.64 'tc_Datatype__Universe_Onode' [125, 2] (w:1, o:306, a:1, s:1, b:0),
% 1.25/1.64 'c_Relation_ODomain' [126, 3] (w:1, o:345, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_Ouprod' [127, 4] (w:1, o:412, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_Odsum' [128, 4] (w:1, o:413, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_Ousum' [129, 4] (w:1, o:414, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_OIn0' [130, 3] (w:1, o:359, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_OIn1' [131, 3] (w:1, o:360, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_OLeaf' [132, 3] (w:1, o:361, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_ONumb' [133, 3] (w:1, o:362, a:1, s:1, b:0),
% 1.25/1.64 'c_Datatype__Universe_Ontrunc' [136, 4] (w:1, o:415, a:1, s:1, b:0),
% 1.25/1.64
% 1.25/1.64 'c_div' [138, 3] (w:1, o:363, a:1, s:1, b:0),
% 1.25/1.64 'c_Divides_Oop_Amod' [139, 3] (w:1, o:364, a:1, s:1, b:0),
% 1.25/1.64 'c_less' [141, 3] (w:1, o:365, a:1, s:1, b:0),
% 1.25/1.64 'c_Divides_Oop_Advd' [143, 3] (w:1, o:366, a:1, s:1, b:0),
% 1.25/1.64 'c_Equiv__Relations_Oquotient' [145, 3] (w:1, o:367, a:1, s:1, b:0),
% 1.25/1.64
% 1.25/1.64 'c_Extraction_Osumbool_OLeft' [147, 0] (w:1, o:77, a:1, s:1, b:0),
% 1.25/1.64 'c_Extraction_Osumbool_Osumbool__case' [148, 4] (w:1, o:416, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'c_Extraction_Osumbool_ORight' [150, 0] (w:1, o:78, a:1, s:1, b:0),
% 1.25/1.64 'c_Extraction_Osumbool_Osumbool__rec' [151, 4] (w:1, o:417, a:1, s:1
% 1.25/1.64 , b:0),
% 1.25/1.64 'tc_Extraction_Osumbool' [152, 0] (w:1, o:79, a:1, s:1, b:0),
% 1.25/1.64 'class_Orderings_Olinorder' [153, 1] (w:1, o:191, a:1, s:1, b:0),
% 1.25/1.64 'c_Finite__Set_OFinites' [154, 0] (w:1, o:80, a:1, s:1, b:0),
% 1.25/1.64 'c_Finite__Set_OMax' [155, 2] (w:1, o:307, a:1, s:1, b:0),
% 1.25/1.64 'c_Orderings_Omax' [156, 3] (w:1, o:378, a:1, s:1, b:0),
% 1.25/1.64 'c_Main_OMax__le__iff__1' [158, 3] (w:1, o:394, a:1, s:1, b:0),
% 1.25/1.64 'c_Main_OMax__less__iff__1' [159, 3] (w:1, o:395, a:1, s:1, b:0),
% 1.25/1.64 'c_Finite__Set_OMin' [160, 2] (w:1, o:308, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_OMin__ge__iff__1' [161, 3] (w:1, o:396, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_OMin__gr__iff__1' [162, 3] (w:1, o:397, a:1, s:1, b:0),
% 1.25/1.65 'c_Orderings_Omin' [163, 3] (w:1, o:398, a:1, s:1, b:0),
% 1.25/1.65 'c_Finite__Set_Ocard' [164, 2] (w:1, o:309, a:1, s:1, b:0),
% 1.25/1.65 'c_minus' [167, 3] (w:1, o:399, a:1, s:1, b:0),
% 1.25/1.65 'c_Pow' [168, 2] (w:1, o:312, a:1, s:1, b:0),
% 1.25/1.65 'c_union' [170, 3] (w:1, o:400, a:1, s:1, b:0),
% 1.25/1.65 'c_Relation_Oconverse' [171, 3] (w:1, o:346, a:1, s:1, b:0),
% 1.25/1.65 'c_NatArith_Oof__nat' [172, 2] (w:1, o:313, a:1, s:1, b:0),
% 1.25/1.65 'c_Fun_Oid' [173, 2] (w:1, o:314, a:1, s:1, b:0),
% 1.25/1.65 'c_GCD_Ogcd' [174, 1] (w:1, o:192, a:1, s:1, b:0),
% 1.25/1.65 'c_UNIV' [175, 0] (w:1, o:83, a:1, s:1, b:0),
% 1.25/1.65 'class_Numeral_Onumber__ring' [176, 1] (w:1, o:154, a:1, s:1, b:0),
% 1.25/1.65 'class_Ring__and__Field_Oordered__idom' [177, 1] (w:1, o:193, a:1, s:
% 1.25/1.65 1, b:0),
% 1.25/1.65 'c_Numeral_OMin' [178, 0] (w:1, o:84, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Onumber__of' [179, 2] (w:1, o:315, a:1, s:1, b:0),
% 1.25/1.65 'c_HOL_Oabs' [180, 2] (w:1, o:316, a:1, s:1, b:0),
% 1.25/1.65 'class_Power_Orecpower' [181, 1] (w:1, o:201, a:1, s:1, b:0),
% 1.25/1.65 'c_Nat_Opower' [182, 3] (w:1, o:377, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_OPls' [183, 0] (w:1, o:85, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obin__minus' [184, 1] (w:1, o:202, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obin__add' [185, 2] (w:1, o:317, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_Oneg' [186, 2] (w:1, o:319, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obit_OB1' [187, 0] (w:1, o:87, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_OBit' [188, 2] (w:1, o:320, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obit_OB0' [189, 0] (w:1, o:86, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_Oiszero' [192, 2] (w:1, o:321, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_Oint' [193, 1] (w:1, o:203, a:1, s:1, b:0),
% 1.25/1.65 'tc_IntDef_Oint' [194, 0] (w:1, o:88, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_Onat' [195, 1] (w:1, o:204, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_Oof__int' [196, 2] (w:1, o:322, a:1, s:1, b:0),
% 1.25/1.65 'c_uminus' [198, 2] (w:1, o:323, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_OInteg' [199, 0] (w:1, o:92, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_OAbs__Integ' [200, 1] (w:1, o:205, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_ORep__Integ' [201, 1] (w:1, o:206, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_OInts' [202, 0] (w:1, o:93, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_ONats' [203, 0] (w:1, o:94, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDef_Ointrel' [204, 0] (w:1, o:95, a:1, s:1, b:0),
% 1.25/1.65 'c_Relation_OImage' [205, 4] (w:1, o:418, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDiv_OposDivAlg' [207, 1] (w:1, o:207, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDiv_OnegateSnd' [208, 1] (w:1, o:208, a:1, s:1, b:0),
% 1.25/1.65 'c_fst' [209, 3] (w:1, o:401, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDiv_OnegDivAlg' [210, 1] (w:1, o:209, a:1, s:1, b:0),
% 1.25/1.65 'c_snd' [211, 3] (w:1, o:350, a:1, s:1, b:0),
% 1.25/1.65 'c_IntDiv_Oadjust' [212, 2] (w:1, o:324, a:1, s:1, b:0),
% 1.25/1.65 'class_LOrder_Ojoin__semilorder' [215, 1] (w:1, o:210, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_LOrder_Ojoin' [216, 3] (w:1, o:379, a:1, s:1, b:0),
% 1.25/1.65 'class_LOrder_Omeet__semilorder' [217, 1] (w:1, o:212, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_LOrder_Omeet' [218, 3] (w:1, o:380, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olist_OCons' [220, 3] (w:1, o:381, a:1, s:1, b:0),
% 1.25/1.65 'tc_List_Olist' [222, 1] (w:1, o:213, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olex' [223, 2] (w:1, o:268, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olist_ONil' [224, 0] (w:1, o:96, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oset' [226, 2] (w:1, o:272, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oconcat' [227, 2] (w:1, o:274, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_ONil__eq__concat__conv__1' [228, 2] (w:1, o:290, a:1, s:1, b:
% 1.25/1.65 0),
% 1.25/1.65 'c_append' [229, 3] (w:1, o:402, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Orev' [230, 2] (w:1, o:269, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Obutlast' [232, 2] (w:1, o:273, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olast' [233, 2] (w:1, o:275, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olists' [236, 2] (w:1, o:277, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Otake' [237, 3] (w:1, o:385, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Odrop' [238, 3] (w:1, o:386, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Ochar_OChar' [241, 2] (w:1, o:278, a:1, s:1, b:0),
% 1.25/1.65 'tc_List_Ochar' [244, 0] (w:1, o:102, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_Oconcat__eq__Nil__conv__1' [245, 2] (w:1, o:291, a:1, s:1, b:
% 1.25/1.65 0),
% 1.25/1.65 'c_List_Orotate1' [246, 2] (w:1, o:270, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Odistinct' [247, 2] (w:1, o:279, a:1, s:1, b:0),
% 1.25/1.65 'c_inter' [248, 3] (w:1, o:403, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oremove1' [249, 3] (w:1, o:387, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Orotate' [250, 3] (w:1, o:388, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Osublist' [252, 3] (w:1, o:383, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oupt' [254, 2] (w:1, o:281, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oreplicate' [255, 3] (w:1, o:382, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Ohd' [256, 2] (w:1, o:282, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Otl' [257, 2] (w:1, o:280, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oitrev' [258, 3] (w:1, o:389, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olist__update' [260, 4] (w:1, o:419, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oremdups' [261, 2] (w:1, o:271, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Ozip' [262, 4] (w:1, o:420, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olexn' [263, 3] (w:1, o:390, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olexord' [264, 2] (w:1, o:283, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_Olexord__Nil__left__1' [265, 2] (w:1, o:292, a:1, s:1, b:0),
% 1.25/1.65
% 1.25/1.65 'c_Main_Olexord__Nil__left__2' [266, 2] (w:1, o:293, a:1, s:1, b:0),
% 1.25/1.65
% 1.25/1.65 'c_List_Olist__inter' [272, 3] (w:1, o:391, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onth' [273, 3] (w:1, o:392, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olistrel' [274, 2] (w:1, o:276, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olistset' [275, 2] (w:1, o:284, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oset__Cons' [277, 3] (w:1, o:384, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble9' [291, 0] (w:1, o:113, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_Onibble__case' [292, 18] (w:1, o:453, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_List_Onibble_ONibbleA' [294, 0] (w:1, o:114, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleB' [295, 0] (w:1, o:115, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleC' [296, 0] (w:1, o:116, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleD' [297, 0] (w:1, o:117, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleE' [298, 0] (w:1, o:118, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleF' [299, 0] (w:1, o:119, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble0' [300, 0] (w:1, o:120, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble1' [301, 0] (w:1, o:121, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble2' [302, 0] (w:1, o:122, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble3' [303, 0] (w:1, o:123, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble4' [304, 0] (w:1, o:124, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble5' [305, 0] (w:1, o:125, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble6' [306, 0] (w:1, o:126, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble7' [307, 0] (w:1, o:127, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble8' [308, 0] (w:1, o:112, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_Onibble__rec' [309, 18] (w:1, o:454, a:1, s:1, b:0),
% 1.25/1.65
% 1.25/1.65 'tc_List_Onibble' [310, 0] (w:1, o:128, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onull' [311, 2] (w:1, o:285, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oop_Amem' [312, 3] (w:1, o:393, a:1, s:1, b:0),
% 1.25/1.65 'c_SetInterval_OlessThan' [314, 2] (w:1, o:327, a:1, s:1, b:0),
% 1.25/1.65 'c_Map_Omap__of' [317, 4] (w:1, o:421, a:1, s:1, b:0),
% 1.25/1.65 'class_Ring__and__Field_Oordered__semidom' [318, 1] (w:1, o:215, a:1
% 1.25/1.65 , s:1, b:0),
% 1.25/1.65 'c_Numeral_Obin__succ' [319, 1] (w:1, o:216, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obin__mult' [321, 2] (w:1, o:328, a:1, s:1, b:0),
% 1.25/1.65 'class_Numeral_Onumber' [322, 1] (w:1, o:155, a:1, s:1, b:0),
% 1.25/1.65 'class_Ring__and__Field_Odivision__by__zero' [323, 1] (w:1, o:217, a:
% 1.25/1.65 1, s:1, b:0),
% 1.25/1.65 'class_Ring__and__Field_Ofield' [324, 1] (w:1, o:218, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_divide' [325, 3] (w:1, o:404, a:1, s:1, b:0),
% 1.25/1.65 'class_Ring__and__Field_Oordered__field' [326, 1] (w:1, o:219, a:1
% 1.25/1.65 , s:1, b:0),
% 1.25/1.65 'c_HOL_Oinverse' [327, 2] (w:1, o:318, a:1, s:1, b:0),
% 1.25/1.65 'class_OrderedGroup_Opordered__ab__group__add' [328, 1] (w:1, o:195
% 1.25/1.65 , a:1, s:1, b:0),
% 1.25/1.65 'class_Ring__and__Field_Oordered__ring__strict' [329, 1] (w:1, o:214
% 1.25/1.65 , a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obin__pred' [330, 1] (w:1, o:220, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obit_Obit__case' [331, 4] (w:1, o:434, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obit_Obit__rec' [332, 4] (w:1, o:435, a:1, s:1, b:0),
% 1.25/1.65 'tc_Numeral_Obit' [333, 0] (w:1, o:130, a:1, s:1, b:0),
% 1.25/1.65 'class_OrderedGroup_Olordered__ab__group__abs' [334, 1] (w:1, o:165
% 1.25/1.65 , a:1, s:1, b:0),
% 1.25/1.65 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [335, 1]
% 1.25/1.65 (w:1, o:196, a:1, s:1, b:0),
% 1.25/1.65 'class_OrderedGroup_Olordered__ab__group' [336, 1] (w:1, o:166, a:1
% 1.25/1.65 , s:1, b:0),
% 1.25/1.65 'c_OrderedGroup_Onprt' [337, 2] (w:1, o:310, a:1, s:1, b:0),
% 1.25/1.65 'c_OrderedGroup_Opprt' [338, 2] (w:1, o:311, a:1, s:1, b:0),
% 1.25/1.65 'class_Orderings_Oorder' [339, 1] (w:1, o:197, a:1, s:1, b:0),
% 1.25/1.65 'c_Parity_Oeven' [340, 2] (w:1, o:329, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_Osurj__pair__1' [342, 3] (w:1, o:368, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_Osurj__pair__2' [343, 3] (w:1, o:369, a:1, s:1, b:0),
% 1.25/1.65 'c_Relation_OId' [344, 0] (w:1, o:131, a:1, s:1, b:0),
% 1.25/1.65 'c_Relation_Odiag' [345, 2] (w:1, o:325, a:1, s:1, b:0),
% 1.25/1.65 'c_Relation_Orel__comp' [346, 5] (w:1, o:438, a:1, s:1, b:0),
% 1.25/1.65 'c_Relation_ORange' [348, 3] (w:1, o:347, a:1, s:1, b:0),
% 1.25/1.65 'c_SetInterval_OatLeast' [349, 2] (w:1, o:330, a:1, s:1, b:0),
% 1.25/1.65 'c_SetInterval_OatMost' [350, 2] (w:1, o:331, a:1, s:1, b:0),
% 1.25/1.65 'c_SetInterval_OgreaterThan' [351, 2] (w:1, o:332, a:1, s:1, b:0),
% 1.25/1.65 'c_SetInterval_OatLeastAtMost' [352, 3] (w:1, o:405, a:1, s:1, b:0),
% 1.25/1.65
% 1.25/1.65 'class_Orderings_Oord' [353, 1] (w:1, o:198, a:1, s:1, b:0),
% 1.25/1.65 'c_SetInterval_OatLeastLessThan' [354, 3] (w:1, o:406, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_SetInterval_OgreaterThanAtMost' [355, 3] (w:1, o:407, a:1, s:1, b:
% 1.25/1.65 0),
% 1.25/1.65 'c_SetInterval_OgreaterThanLessThan' [356, 3] (w:1, o:408, a:1, s:1
% 1.25/1.65 , b:0),
% 1.25/1.65 'c_Inter' [357, 2] (w:1, o:333, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_OInter__UNIV__conv__1__1' [358, 2] (w:1, o:294, a:1, s:1, b:0
% 1.25/1.65 ),
% 1.25/1.65 'c_Main_OInter__UNIV__conv__2__1' [359, 2] (w:1, o:295, a:1, s:1, b:0
% 1.25/1.69 ),
% 1.25/1.69 'c_Main_OInter__iff__1' [360, 3] (w:1, o:370, a:1, s:1, b:0),
% 1.25/1.69 'c_Union' [361, 2] (w:1, o:336, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OUnion__empty__conv__1' [362, 2] (w:1, o:296, a:1, s:1, b:0)
% 1.25/1.69 ,
% 1.25/1.69 'c_Main_OUnion__iff__1' [363, 3] (w:1, o:371, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Oall__not__in__conv__1' [364, 2] (w:1, o:297, a:1, s:1, b:0)
% 1.25/1.69 ,
% 1.25/1.69 'c_Set_Ocontents' [365, 2] (w:1, o:337, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Oempty__Union__conv__1' [366, 2] (w:1, o:298, a:1, s:1, b:0)
% 1.25/1.69 ,
% 1.25/1.69 'c_Sum__Type_OPlus' [367, 4] (w:1, o:436, a:1, s:1, b:0),
% 1.25/1.69 'c_Transitive__Closure_Ortrancl' [368, 2] (w:1, o:334, a:1, s:1, b:0)
% 1.25/1.69 ,
% 1.25/1.69 'c_Transitive__Closure_Otrancl' [369, 2] (w:1, o:335, a:1, s:1, b:0)
% 1.25/1.69 ,
% 1.25/1.69 'c_Wellfounded__Recursion_Oacyclic' [370, 2] (w:1, o:338, a:1, s:1
% 1.25/1.69 , b:0),
% 1.25/1.69 'c_Wellfounded__Recursion_Owf' [371, 2] (w:1, o:339, a:1, s:1, b:0),
% 1.25/1.69
% 1.25/1.69 'c_Wellfounded__Relations_Oless__than' [372, 0] (w:1, o:133, a:1, s:1
% 1.25/1.69 , b:0),
% 1.25/1.69 'c_Main_OdprodE__1' [373, 5] (w:1, o:439, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OdprodE__2' [374, 5] (w:1, o:440, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OdprodE__3' [375, 5] (w:1, o:441, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OdprodE__4' [376, 5] (w:1, o:442, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OdsumE__1' [377, 4] (w:1, o:424, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OdsumE__2' [378, 4] (w:1, o:425, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OdsumE__3' [379, 4] (w:1, o:426, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OdsumE__4' [380, 4] (w:1, o:427, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OuprodE__1' [381, 5] (w:1, o:443, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OuprodE__2' [382, 5] (w:1, o:444, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OusumE__1' [383, 4] (w:1, o:428, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OusumE__2' [384, 4] (w:1, o:429, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Omod__eq__0D__dest__1' [386, 2] (w:1, o:287, a:1, s:1, b:0),
% 1.25/1.69
% 1.25/1.69 'c_Main_Ofinite__Union__1' [387, 2] (w:1, o:299, a:1, s:1, b:0),
% 1.25/1.69 'c_Infinite__Set_Oatmost__one' [389, 2] (w:1, o:340, a:1, s:1, b:0),
% 1.25/1.69
% 1.25/1.69 'c_Main_Ozmod__eq__0D__dest__1' [390, 2] (w:1, o:300, a:1, s:1, b:0)
% 1.25/1.69 ,
% 1.25/1.69 'c_Main_Oin__listsI__1' [391, 3] (w:1, o:372, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Olistrel__Cons1__1' [392, 5] (w:1, o:445, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Olistrel__Cons1__2' [393, 5] (w:1, o:446, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Olistrel__Cons2__1' [394, 5] (w:1, o:447, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Olistrel__Cons2__2' [395, 5] (w:1, o:448, a:1, s:1, b:0),
% 1.25/1.69 'c_List_Olenlex' [396, 2] (w:1, o:286, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_ODomainE__1' [397, 4] (w:1, o:430, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OIdE__1' [398, 2] (w:1, o:301, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OImageE__1' [399, 5] (w:1, o:449, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_ORangeE__1' [400, 4] (w:1, o:431, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OconverseE__1' [402, 4] (w:1, o:422, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OconverseE__2' [403, 4] (w:1, o:423, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OdiagE__1' [404, 3] (w:1, o:373, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Orel__compE__2' [407, 6] (w:1, o:451, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Orel__compE__3' [408, 6] (w:1, o:452, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_Orel__compE__1' [409, 6] (w:1, o:450, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OInterI__1' [410, 3] (w:1, o:374, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OUnionE__1' [411, 3] (w:1, o:375, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OsubsetI__1' [412, 3] (w:1, o:376, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OPlusE__1' [413, 4] (w:1, o:432, a:1, s:1, b:0),
% 1.25/1.69 'c_Main_OPlusE__2' [414, 4] (w:1, o:433, a:1, s:1, b:0),
% 1.25/1.69 'c_Relation_Otrans' [415, 2] (w:1, o:326, a:1, s:1, b:0),
% 1.25/1.69 'c_Wellfounded__Relations_Olex__prod' [418, 4] (w:1, o:437, a:1, s:1
% 1.25/1.69 , b:0),
% 1.25/1.69 'class_Finite__Set_Ofinite' [421, 1] (w:1, o:221, a:1, s:1, b:0),
% 1.25/1.69 'class_LOrder_Olorder' [422, 1] (w:1, o:211, a:1, s:1, b:0),
% 1.25/1.69 'class_OrderedGroup_Opordered__ab__semigroup__add' [423, 1] (w:1, o:
% 1.25/1.69 199, a:1, s:1, b:0),
% 1.25/1.69 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [424, 1]
% 1.25/1.69 (w:1, o:200, a:1, s:1, b:0),
% 1.25/1.69 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [425, 1]
% 1.25/1.69 (w:1, o:194, a:1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Opordered__semiring' [426, 1] (w:1, o:225, a:
% 1.25/1.69 1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Opordered__cancel__semiring' [427, 1] (w:1
% 1.25/1.69 , o:226, a:1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Oordered__semiring__strict' [428, 1] (w:1, o:
% 1.25/1.69 222, a:1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Opordered__comm__semiring' [429, 1] (w:1, o:
% 1.25/1.69 228, a:1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [430, 1]
% 1.25/1.69 (w:1, o:229, a:1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Oordered__comm__semiring__strict' [431, 1]
% 1.25/1.69 (w:1, o:223, a:1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Oaxclass__abs__if' [432, 1] (w:1, o:230, a:1
% 1.25/1.69 , s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Opordered__ring' [433, 1] (w:1, o:224, a:1
% 1.25/1.69 , s:1, b:0),
% 1.25/1.69 'class_OrderedGroup_Olordered__ab__group__meet' [434, 1] (w:1, o:167
% 1.25/1.69 , a:1, s:1, b:0),
% 1.25/1.69 'class_OrderedGroup_Olordered__ab__group__join' [435, 1] (w:1, o:168
% 1.25/1.69 , a:1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Olordered__ring' [436, 1] (w:1, o:231, a:1
% 1.25/1.69 , s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [437, 1] (w:1
% 1.25/1.69 , o:232, a:1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Oidom' [438, 1] (w:1, o:233, a:1, s:1, b:0),
% 1.25/1.69
% 1.25/1.69 'class_Divides_Odiv' [439, 1] (w:1, o:234, a:1, s:1, b:0),
% 1.25/1.69 'class_Nat_Opower' [440, 1] (w:1, o:156, a:1, s:1, b:0),
% 1.25/1.69 'class_Parity_Oeven__odd' [441, 1] (w:1, o:235, a:1, s:1, b:0),
% 1.25/1.69 'tc_bool' [442, 0] (w:1, o:139, a:1, s:1, b:0),
% 1.25/1.69 'class_Wellfounded__Recursion_Owellorder' [443, 1] (w:1, o:236, a:1
% 1.25/1.69 , s:1, b:0),
% 1.25/1.69 'class_HOL_Oinverse' [445, 1] (w:1, o:237, a:1, s:1, b:0),
% 1.25/1.69 'class_Ring__and__Field_Opordered__comm__ring' [446, 1] (w:1, o:227
% 1.25/1.69 , a:1, s:1, b:0),
% 1.25/1.69 'v_h' [447, 2] (w:1, o:341, a:1, s:1, b:0),
% 1.25/1.69 't_c' [448, 0] (w:1, o:142, a:1, s:1, b:0),
% 1.25/1.69 'v_f' [449, 2] (w:1, o:342, a:1, s:1, b:0),
% 1.25/1.69 'v_x' [450, 0] (w:1, o:143, a:1, s:1, b:0),
% 1.25/1.69 'v_xb' [451, 0] (w:1, o:145, a:1, s:1, b:0),
% 1.25/1.69 'v_xa' [452, 0] (w:1, o:144, a:1, s:1, b:0),
% 1.25/1.69 'v_A' [453, 1] (w:1, o:238, a:1, s:1, b:0),
% 1.25/1.69 't_b' [454, 0] (w:1, o:141, a:1, s:1, b:0).
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69 Starting Search:
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69 Bliksems!, er is een bewijs:
% 1.25/1.69 % SZS status Unsatisfiable
% 1.25/1.69 % SZS output start Refutation
% 1.25/1.69
% 1.25/1.69 clause( 2673, [ 'c_lessequals'( 'c_0', 'v_h'( X, Y ), 't_c' ) ] )
% 1.25/1.69 .
% 1.25/1.69 clause( 2676, [] )
% 1.25/1.69 .
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69 % SZS output end Refutation
% 1.25/1.69 found a proof!
% 1.25/1.69
% 1.25/1.69 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.25/1.69
% 1.25/1.69 initialclauses(
% 1.25/1.69 [ clause( 2678, [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_in'( Y, Z, X ) ),
% 1.25/1.69 'c_in'( 'c_plus'( T, Y, X ), 'c_SetsAndFunctions_Oelt__set__plus'( T, Z,
% 1.25/1.69 X ), X ) ] )
% 1.25/1.69 , clause( 2679, [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.25/1.69 'c_in'( T, U, X ) ), 'c_in'( 'c_plus'( T, Y, X ), 'c_plus'( U, Z,
% 1.25/1.69 'tc_set'( X ) ), X ) ] )
% 1.25/1.69 , clause( 2680, [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_lessequals'( Y, Z,
% 1.25/1.69 'tc_set'( X ) ) ), ~( 'c_lessequals'( T, U, 'tc_set'( X ) ) ),
% 1.25/1.69 'c_lessequals'( 'c_plus'( T, Y, 'tc_set'( X ) ), 'c_plus'( U, Z, 'tc_set'(
% 1.25/1.69 X ) ), 'tc_set'( X ) ) ] )
% 1.25/1.69 , clause( 2681, [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_in'( Y, Z, X ) ),
% 1.25/1.69 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__plus'( Y, T, X ), 'c_plus'(
% 1.25/1.69 Z, T, 'tc_set'( X ) ), 'tc_set'( X ) ) ] )
% 1.25/1.69 , clause( 2682, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~(
% 1.25/1.69 'c_in'( Y, Z, X ) ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__plus'(
% 1.25/1.69 Y, T, X ), 'c_plus'( T, Z, 'tc_set'( X ) ), 'tc_set'( X ) ) ] )
% 1.25/1.69 , clause( 2683, [ ~( 'class_HOL_Oplus'( X ) ), ~( 'c_lessequals'( Y, Z,
% 1.25/1.69 'tc_set'( X ) ) ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__plus'(
% 1.25/1.69 T, Y, X ), 'c_SetsAndFunctions_Oelt__set__plus'( T, Z, X ), 'tc_set'( X )
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 2684, [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_in'( Y, Z, X ) ),
% 1.25/1.69 'c_in'( 'c_times'( T, Y, X ), 'c_SetsAndFunctions_Oelt__set__times'( T, Z
% 1.25/1.69 , X ), X ) ] )
% 1.25/1.69 , clause( 2685, [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.25/1.69 'c_in'( T, U, X ) ), 'c_in'( 'c_times'( T, Y, X ), 'c_times'( U, Z,
% 1.25/1.69 'tc_set'( X ) ), X ) ] )
% 1.25/1.69 , clause( 2686, [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_lessequals'( Y, Z,
% 1.25/1.69 'tc_set'( X ) ) ), ~( 'c_lessequals'( T, U, 'tc_set'( X ) ) ),
% 1.25/1.69 'c_lessequals'( 'c_times'( T, Y, 'tc_set'( X ) ), 'c_times'( U, Z,
% 1.25/1.69 'tc_set'( X ) ), 'tc_set'( X ) ) ] )
% 1.25/1.69 , clause( 2687, [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_in'( Y, Z, X ) ),
% 1.25/1.69 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__times'( Y, T, X ),
% 1.25/1.69 'c_times'( Z, T, 'tc_set'( X ) ), 'tc_set'( X ) ) ] )
% 1.25/1.69 , clause( 2688, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), ~(
% 1.25/1.69 'c_in'( Y, Z, X ) ), 'c_lessequals'(
% 1.25/1.69 'c_SetsAndFunctions_Oelt__set__times'( Y, T, X ), 'c_times'( T, Z,
% 1.25/1.69 'tc_set'( X ) ), 'tc_set'( X ) ) ] )
% 1.25/1.69 , clause( 2689, [ ~( 'class_HOL_Otimes'( X ) ), ~( 'c_lessequals'( Y, Z,
% 1.25/1.69 'tc_set'( X ) ) ), 'c_lessequals'( 'c_SetsAndFunctions_Oelt__set__times'(
% 1.25/1.69 T, Y, X ), 'c_SetsAndFunctions_Oelt__set__times'( T, Z, X ), 'tc_set'( X
% 1.25/1.69 ) ) ] )
% 1.25/1.69 , clause( 2690, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_fun'( X
% 1.25/1.69 , Y ) ), ~( 'class_OrderedGroup_Oab__group__add'( Y ) ) ] )
% 1.25/1.69 , clause( 2691, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.25/1.69 'tc_fun'( X, Y ) ), ~( 'class_OrderedGroup_Oab__group__add'( Y ) ) ] )
% 1.25/1.69 , clause( 2692, [ 'class_OrderedGroup_Oab__group__add'( 'tc_fun'( X, Y ) )
% 1.25/1.69 , ~( 'class_OrderedGroup_Oab__group__add'( Y ) ) ] )
% 1.25/1.69 , clause( 2693, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_fun'( X, Y ) )
% 1.25/1.69 , ~( 'class_OrderedGroup_Osemigroup__mult'( Y ) ) ] )
% 1.25/1.69 , clause( 2694, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_fun'( X, Y
% 1.25/1.69 ) ), ~( 'class_OrderedGroup_Ocomm__monoid__mult'( Y ) ) ] )
% 1.25/1.69 , clause( 2695, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_fun'( X, Y ) ),
% 1.25/1.69 ~( 'class_OrderedGroup_Ocomm__monoid__mult'( Y ) ) ] )
% 1.25/1.69 , clause( 2696, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_fun'( X, Y
% 1.25/1.69 ) ), ~( 'class_OrderedGroup_Ocomm__monoid__mult'( Y ) ) ] )
% 1.25/1.69 , clause( 2697, [ 'class_Ring__and__Field_Osemiring'( 'tc_fun'( X, Y ) ),
% 1.25/1.69 ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2698, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_fun'( X, Y
% 1.25/1.69 ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2699, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_fun'( X, Y ) )
% 1.25/1.69 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2700, [ 'class_HOL_Oplus'( 'tc_fun'( X, Y ) ), ~(
% 1.25/1.69 'class_HOL_Oplus'( Y ) ) ] )
% 1.25/1.69 , clause( 2701, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_fun'( X
% 1.25/1.69 , Y ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2702, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_fun'(
% 1.25/1.69 X, Y ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2703, [ 'class_Ring__and__Field_Oring'( 'tc_fun'( X, Y ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2704, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 1.25/1.69 'tc_fun'( X, Y ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2705, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_fun'( X, Y ) )
% 1.25/1.69 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2706, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_fun'( X
% 1.25/1.69 , Y ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2707, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_fun'( X, Y ) )
% 1.25/1.69 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2708, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_fun'( X
% 1.25/1.69 , Y ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2709, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_fun'(
% 1.25/1.69 X, Y ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2710, [ 'class_Ring__and__Field_Oring__1'( 'tc_fun'( X, Y ) ),
% 1.25/1.69 ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2711, [ 'class_HOL_Otimes'( 'tc_fun'( X, Y ) ), ~(
% 1.25/1.69 'class_HOL_Otimes'( Y ) ) ] )
% 1.25/1.69 , clause( 2712, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 1.25/1.69 'tc_fun'( X, Y ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2713, [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_fun'( X, Y )
% 1.25/1.69 ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( Y ) ) ] )
% 1.25/1.69 , clause( 2714, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 1.25/1.69 'class_HOL_Ominus'( Y ) ) ] )
% 1.25/1.69 , clause( 2715, [ 'class_HOL_Ozero'( 'tc_fun'( X, Y ) ), ~(
% 1.25/1.69 'class_HOL_Ozero'( Y ) ) ] )
% 1.25/1.69 , clause( 2716, [ 'class_HOL_Oone'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oone'(
% 1.25/1.69 Y ) ) ] )
% 1.25/1.69 , clause( 2717, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_fun'( X, Y ) )
% 1.25/1.69 , ~( 'class_OrderedGroup_Osemigroup__add'( Y ) ) ] )
% 1.25/1.69 , clause( 2718, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_fun'( X, Y
% 1.25/1.69 ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ] )
% 1.25/1.69 , clause( 2719, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_fun'( X, Y )
% 1.25/1.69 ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( Y ) ) ] )
% 1.25/1.69 , clause( 2720, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_set'( X ) ),
% 1.25/1.69 ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ) ] )
% 1.25/1.69 , clause( 2721, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_set'( X ) )
% 1.25/1.69 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ] )
% 1.25/1.69 , clause( 2722, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_set'( X ) )
% 1.25/1.69 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ] )
% 1.25/1.69 , clause( 2723, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_set'( X )
% 1.25/1.69 ), ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ) ] )
% 1.25/1.69 , clause( 2724, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_set'( X ) ), ~(
% 1.25/1.69 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ) ] )
% 1.25/1.69 , clause( 2725, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_set'( X ) )
% 1.25/1.69 , ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ) ] )
% 1.25/1.69 , clause( 2726, [ 'class_HOL_Oplus'( 'tc_set'( X ) ), ~( 'class_HOL_Oplus'(
% 1.25/1.69 X ) ) ] )
% 1.25/1.69 , clause( 2727, [ 'class_HOL_Otimes'( 'tc_set'( X ) ), ~(
% 1.25/1.69 'class_HOL_Otimes'( X ) ) ] )
% 1.25/1.69 , clause( 2728, [ 'class_HOL_Ozero'( 'tc_set'( X ) ), ~( 'class_HOL_Ozero'(
% 1.25/1.69 X ) ) ] )
% 1.25/1.69 , clause( 2729, [ 'class_HOL_Oone'( 'tc_set'( X ) ), ~( 'class_HOL_Oone'( X
% 1.25/1.69 ) ) ] )
% 1.25/1.69 , clause( 2730, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_set'( X ) ),
% 1.25/1.69 ~( 'class_OrderedGroup_Osemigroup__add'( X ) ) ] )
% 1.25/1.69 , clause( 2731, [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 2732, [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2733, [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ),
% 1.25/1.69 'c_plus'( 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X,
% 1.25/1.69 'c_Suc'( Y ) ), 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2734, [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X
% 1.25/1.69 ) ) ] )
% 1.25/1.69 , clause( 2735, [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2736, [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2737, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 1.25/1.69 'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 1.25/1.69 , clause( 2738, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'(
% 1.25/1.69 X, Y ), Y ), Y ) ] )
% 1.25/1.69 , clause( 2739, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 1.25/1.69 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2740, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 1.25/1.69 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2741, [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y )
% 1.25/1.69 , Y ), 'c_insert'( X, 'c_emptyset', Y ) ) ] )
% 1.25/1.69 , clause( 2742, [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.25/1.69 'c_Datatype_Ooption_ONone' ) ] )
% 1.25/1.69 , clause( 2743, [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ),
% 1.25/1.69 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2744, [ ~( =( 'c_Datatype_Ooption_ONone',
% 1.25/1.69 'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 1.25/1.69 , clause( 2745, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.25/1.69 'c_Datatype_Ooption_ONone' ) ) ] )
% 1.25/1.69 , clause( 2746, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.25/1.69 'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 1.25/1.69 , clause( 2747, [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone',
% 1.25/1.69 'tc_Datatype_Ooption'( X ) ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2748, [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.25/1.69 'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2749, [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T
% 1.25/1.69 ) ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2750, [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'(
% 1.25/1.69 Y, Z ) ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2751, [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'(
% 1.25/1.69 Z, Y ) ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2752, [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y )
% 1.25/1.69 , Y ), X ) ] )
% 1.25/1.69 , clause( 2753, [ =( 'c_Datatype_Ounit_Ounit__case'( X,
% 1.25/1.69 'c_Product__Type_OUnity', Y ), X ) ] )
% 1.25/1.69 , clause( 2754, [ =( 'c_Datatype_Ounit_Ounit__rec'( X,
% 1.25/1.69 'c_Product__Type_OUnity', Y ), X ) ] )
% 1.25/1.69 , clause( 2755, [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity',
% 1.25/1.69 'tc_Product__Type_Ounit' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2756, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.69 , clause( 2757, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 1.25/1.69 , clause( 2758, [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X
% 1.25/1.69 , Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.69 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'(
% 1.25/1.69 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.69 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.25/1.69 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.69 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ] )
% 1.25/1.69 , clause( 2759, [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X
% 1.25/1.69 , Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.69 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'(
% 1.25/1.69 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.69 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.25/1.69 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.69 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ] )
% 1.25/1.69 , clause( 2760, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.69 , clause( 2761, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 1.25/1.69 , clause( 2762, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.69 , clause( 2763, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 1.25/1.69 , clause( 2764, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 1.25/1.69 , clause( 2765, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 1.25/1.69 , clause( 2766, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 1.25/1.69 , clause( 2767, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.25/1.69 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 1.25/1.69 , clause( 2768, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.69 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 1.25/1.69 , clause( 2769, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.69 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 1.25/1.69 , clause( 2770, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.69 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 1.25/1.69 , clause( 2771, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.69 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 1.25/1.69 , clause( 2772, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.69 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 1.25/1.69 , clause( 2773, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ),
% 1.25/1.69 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2774, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.25/1.69 'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ),
% 1.25/1.69 'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ] )
% 1.25/1.69 , clause( 2775, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X )
% 1.25/1.69 ), 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ),
% 1.25/1.69 'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.25/1.69 , Y, Z, T ), Z, T ) ) ] )
% 1.25/1.69 , clause( 2776, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X )
% 1.25/1.69 ), 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ),
% 1.25/1.69 'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.25/1.69 , Y, Z, T ), Z, T ) ) ] )
% 1.25/1.69 , clause( 2777, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.25/1.69 'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ),
% 1.25/1.69 'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ] )
% 1.25/1.69 , clause( 2778, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.25/1.69 'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ),
% 1.25/1.69 'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ] )
% 1.25/1.69 , clause( 2779, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.25/1.69 'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ),
% 1.25/1.69 'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.25/1.69 ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ] )
% 1.25/1.69 , clause( 2780, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.25/1.69 'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2781, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.25/1.69 'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2782, [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2783, [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.25/1.69 , clause( 2784, [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2785, [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ] )
% 1.25/1.69 , clause( 2786, [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 2787, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y,
% 1.25/1.69 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2788, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1',
% 1.25/1.69 Y, 'tc_nat' ) ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2789, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'(
% 1.25/1.69 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.69 'c_div'( Y, Z, 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2790, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'(
% 1.25/1.69 'c_times'( Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.69 'c_div'( Y, Z, 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2791, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'(
% 1.25/1.69 Y, 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.25/1.69 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2792, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'(
% 1.25/1.69 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 1.25/1.69 , clause( 2793, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'(
% 1.25/1.69 Y, 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.25/1.69 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2794, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'(
% 1.25/1.69 'c_times'( Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 1.25/1.69 , clause( 2795, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X,
% 1.25/1.69 'tc_nat' ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2796, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X,
% 1.25/1.69 'c_0' ) ] )
% 1.25/1.69 , clause( 2797, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2798, [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' )
% 1.25/1.69 ), =( X, 'c_Suc'( 'c_0' ) ) ] )
% 1.25/1.69 , clause( 2799, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' )
% 1.25/1.69 , 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2800, [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2801, [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2802, [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' )
% 1.25/1.69 , 'c_0' ) ] )
% 1.25/1.69 , clause( 2803, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X,
% 1.25/1.69 'tc_nat' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2804, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y,
% 1.25/1.69 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2805, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.69 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2806, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'(
% 1.25/1.69 X, Y, 'tc_nat' ), X ) ] )
% 1.25/1.69 , clause( 2807, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'(
% 1.25/1.69 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2808, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z,
% 1.25/1.69 'tc_nat' ), 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z,
% 1.25/1.69 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2809, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X,
% 1.25/1.69 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2810, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z,
% 1.25/1.69 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y,
% 1.25/1.69 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2811, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y,
% 1.25/1.69 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2812, [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2813, [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y,
% 1.25/1.69 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2814, [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y,
% 1.25/1.69 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2815, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 1.25/1.69 , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2816, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'(
% 1.25/1.69 'c_emptyset', X, Y ) ) ] )
% 1.25/1.69 , clause( 2817, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ),
% 1.25/1.69 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2818, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ),
% 1.25/1.69 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2819, [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.25/1.69 'c_Extraction_Osumbool_OLeft', Z ), X ) ] )
% 1.25/1.69 , clause( 2820, [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.25/1.69 'c_Extraction_Osumbool_ORight', Z ), Y ) ] )
% 1.25/1.69 , clause( 2821, [ ~( =( 'c_Extraction_Osumbool_OLeft',
% 1.25/1.69 'c_Extraction_Osumbool_ORight' ) ) ] )
% 1.25/1.69 , clause( 2822, [ ~( =( 'c_Extraction_Osumbool_ORight',
% 1.25/1.69 'c_Extraction_Osumbool_OLeft' ) ) ] )
% 1.25/1.69 , clause( 2823, [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.25/1.69 'c_Extraction_Osumbool_OLeft', Z ), X ) ] )
% 1.25/1.69 , clause( 2824, [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.25/1.69 'c_Extraction_Osumbool_ORight', Z ), Y ) ] )
% 1.25/1.69 , clause( 2825, [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft',
% 1.25/1.69 'tc_Extraction_Osumbool' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2826, [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight',
% 1.25/1.69 'tc_Extraction_Osumbool' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2827, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.69 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.25/1.69 'c_lessequals'( Y, 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset'
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 2828, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'(
% 1.25/1.69 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2829, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.25/1.69 'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z,
% 1.25/1.69 'c_Finite__Set_OMax'( Y, X ), X ) ) ] )
% 1.25/1.69 , clause( 2830, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.69 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~(
% 1.25/1.69 'c_lessequals'( 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y
% 1.25/1.69 , T, X ), =( Z, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2831, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.25/1.69 'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'(
% 1.25/1.69 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2832, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.25/1.69 'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'(
% 1.25/1.69 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2833, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.69 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~(
% 1.25/1.69 'c_less'( 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ),
% 1.25/1.69 =( Z, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2834, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.25/1.69 'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'(
% 1.25/1.69 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2835, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.25/1.69 'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'(
% 1.25/1.69 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2836, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.69 'c_Finite__Set_OMax'( 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ] )
% 1.25/1.69 , clause( 2837, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.69 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~(
% 1.25/1.69 'c_lessequals'( T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T
% 1.25/1.69 , Y, X ), =( Z, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2838, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.25/1.69 'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z,
% 1.25/1.69 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2839, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z,
% 1.25/1.69 'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z,
% 1.25/1.69 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2840, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.69 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~(
% 1.25/1.69 'c_less'( T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ),
% 1.25/1.69 =( Z, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2841, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.25/1.69 'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z,
% 1.25/1.69 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2842, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z,
% 1.25/1.69 'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z,
% 1.25/1.69 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2843, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'(
% 1.25/1.69 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2844, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.25/1.69 'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z,
% 1.25/1.69 'c_Finite__Set_OMin'( Y, X ), X ) ) ] )
% 1.25/1.69 , clause( 2845, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.69 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.25/1.69 'c_lessequals'( 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset'
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 2846, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.69 'c_Finite__Set_OMin'( 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ] )
% 1.25/1.69 , clause( 2847, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.69 , ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2848, [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites',
% 1.25/1.69 'tc_set'( X ) ) ), =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2849, [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2850, [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =(
% 1.25/1.69 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2851, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.69 , 'c_in'( Z, X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y )
% 1.25/1.69 , 'c_Suc'( 'c_Finite__Set_Ocard'( X, Y ) ) ) ] )
% 1.25/1.69 , clause( 2852, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.69 , 'c_in'( 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites',
% 1.25/1.69 'tc_set'( Y ) ) ] )
% 1.25/1.69 , clause( 2853, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'(
% 1.25/1.69 T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 1.25/1.69 , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 1.25/1.69 , clause( 2854, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X,
% 1.25/1.69 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites',
% 1.25/1.69 'tc_set'( Z ) ) ] )
% 1.25/1.69 , clause( 2855, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites',
% 1.25/1.69 'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites',
% 1.25/1.69 'tc_set'( Y ) ) ] )
% 1.25/1.69 , clause( 2856, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.69 , 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'(
% 1.25/1.69 Y ) ) ) ] )
% 1.25/1.69 , clause( 2857, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.25/1.69 , 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 2858, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.25/1.69 , 'tc_set'( Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 2859, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.69 , ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.25/1.69 'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 1.25/1.69 , clause( 2860, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 1.25/1.69 , clause( 2861, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.69 'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 1.25/1.69 , clause( 2862, [ ~( 'c_in'( 'c_insert'( X, Y, Z ),
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 1.25/1.69 , clause( 2863, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.69 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.25/1.69 'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y,
% 1.25/1.69 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 2864, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.69 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.25/1.69 'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.25/1.69 ), Y ) ] )
% 1.25/1.69 , clause( 2865, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.69 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.25/1.69 'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.25/1.69 ), Y ) ] )
% 1.25/1.69 , clause( 2866, [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ] )
% 1.25/1.69 , clause( 2867, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 1.25/1.69 , clause( 2868, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' )
% 1.25/1.69 ), X ) ] )
% 1.25/1.69 , clause( 2869, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' )
% 1.25/1.69 ), X ) ] )
% 1.25/1.69 , clause( 2870, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat'
% 1.25/1.69 , 'tc_nat' ) ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2871, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat'
% 1.25/1.69 , 'tc_nat' ) ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2872, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y
% 1.25/1.69 , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat',
% 1.25/1.69 'tc_nat' ) ) ) ] )
% 1.25/1.69 , clause( 2873, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' )
% 1.25/1.69 , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat',
% 1.25/1.69 'tc_nat' ) ) ) ] )
% 1.25/1.69 , clause( 2874, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' )
% 1.25/1.69 , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat',
% 1.25/1.69 'tc_nat' ) ) ) ] )
% 1.25/1.69 , clause( 2875, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 1.25/1.69 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 1.25/1.69 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2876, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 1.25/1.69 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z,
% 1.25/1.69 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2877, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~(
% 1.25/1.69 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X,
% 1.25/1.69 'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2878, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' )
% 1.25/1.69 , 'tc_nat', 'tc_nat' ) ), X ) ] )
% 1.25/1.69 , clause( 2879, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ),
% 1.25/1.69 X ) ] )
% 1.25/1.69 , clause( 2880, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.69 'tc_nat' ) ) ) ] )
% 1.25/1.69 , clause( 2881, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2882, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.69 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.25/1.69 ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2883, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ] )
% 1.25/1.69 , clause( 2884, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.69 , clause( 2885, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.69 , X ), X ) ] )
% 1.25/1.69 , clause( 2886, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.69 , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.69 , clause( 2887, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ] )
% 1.25/1.69 , clause( 2888, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.69 , clause( 2889, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ] )
% 1.25/1.69 , clause( 2890, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.25/1.69 Y, X ), 'c_1', X ) ] )
% 1.25/1.69 , clause( 2891, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~(
% 1.25/1.69 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.25/1.69 , clause( 2892, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'(
% 1.25/1.69 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.69 , clause( 2893, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.25/1.69 , clause( 2894, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.69 , clause( 2895, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ] )
% 1.25/1.69 , clause( 2896, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.69 , clause( 2897, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.69 , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1',
% 1.25/1.69 X ) ) ] )
% 1.25/1.69 , clause( 2898, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.69 , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2899, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.69 'c_1', 'c_1', X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.69 'c_Numeral_Obit_OB0' ), X ) ) ] )
% 1.25/1.69 , clause( 2900, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.69 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obit_OB1' ), Y ), X ) ) ] )
% 1.25/1.69 , clause( 2901, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obit_OB1' ) ), X ) ) ] )
% 1.25/1.69 , clause( 2902, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.25/1.69 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ] )
% 1.25/1.69 , clause( 2903, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ] )
% 1.25/1.69 , clause( 2904, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ] )
% 1.25/1.69 , clause( 2905, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 1.25/1.69 , clause( 2906, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.69 , X ), X ) ] )
% 1.25/1.69 , clause( 2907, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.69 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.69 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 1.25/1.69 , clause( 2908, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ] )
% 1.25/1.69 , clause( 2909, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2910, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ] )
% 1.25/1.69 , clause( 2911, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.69 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.69 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.69 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.69 ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2912, [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.69 , 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.69 , clause( 2913, [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.25/1.69 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2914, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.25/1.69 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ),
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 2915, [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ] )
% 1.25/1.69 , clause( 2916, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =(
% 1.25/1.69 'c_IntDef_Oof__int'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin',
% 1.25/1.69 'tc_IntDef_Oint' ), X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 2917, [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ),
% 1.25/1.69 'tc_nat' ) ), 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2918, [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.69 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2919, [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 2920, [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1',
% 1.25/1.69 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ] )
% 1.25/1.69 , clause( 2921, [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1'
% 1.25/1.69 , 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2922, [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2923, [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.69 X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2924, [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1',
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2925, [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.25/1.69 X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2926, [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.25/1.69 'tc_nat', 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'(
% 1.25/1.69 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y )
% 1.25/1.69 , 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ] )
% 1.25/1.69 , clause( 2927, [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.25/1.69 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'(
% 1.25/1.69 'c_IntDef_OAbs__Integ'( X ) ), X ) ] )
% 1.25/1.69 , clause( 2928, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'(
% 1.25/1.69 'c_0', 'c_IntDef_OInts', X ) ] )
% 1.25/1.69 , clause( 2929, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'(
% 1.25/1.69 'c_1', 'c_IntDef_OInts', X ) ] )
% 1.25/1.69 , clause( 2930, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.69 'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 1.25/1.69 , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 1.25/1.69 , clause( 2931, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.69 'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 1.25/1.69 , 'c_in'( 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 1.25/1.69 , clause( 2932, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.69 'c_in'( Y, 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ),
% 1.25/1.69 'c_IntDef_OInts', X ) ] )
% 1.25/1.69 , clause( 2933, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.69 'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 1.25/1.69 , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 1.25/1.69 , clause( 2934, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.69 ) ), 'c_in'( 'c_0', 'c_IntDef_ONats', X ) ] )
% 1.25/1.69 , clause( 2935, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.69 ) ), 'c_in'( 'c_1', 'c_IntDef_ONats', X ) ] )
% 1.25/1.69 , clause( 2936, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.69 ) ), ~( 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z,
% 1.25/1.69 'c_IntDef_ONats', X ) ), 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 2937, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.69 ) ), ~( 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z,
% 1.25/1.69 'c_IntDef_ONats', X ) ), 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats',
% 1.25/1.69 X ) ] )
% 1.25/1.69 , clause( 2938, [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' )
% 1.25/1.69 , 'c_IntDef_Oint'( X ) ) ] )
% 1.25/1.69 , clause( 2939, [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'(
% 1.25/1.69 X, 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat',
% 1.25/1.69 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.25/1.69 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.25/1.69 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.25/1.69 'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.25/1.69 , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.25/1.69 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 1.25/1.69 , clause( 2940, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat'
% 1.25/1.69 ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.25/1.69 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ),
% 1.25/1.69 =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset',
% 1.25/1.69 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.25/1.69 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.25/1.69 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.25/1.69 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.25/1.69 'tc_nat' ) ) ) ] )
% 1.25/1.69 , clause( 2941, [ ~( =( 'c_0', 'c_1' ) ) ] )
% 1.25/1.69 , clause( 2942, [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2943, [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1',
% 1.25/1.69 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 2944, [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ] )
% 1.25/1.69 , clause( 2945, [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2946, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =(
% 1.25/1.69 X, Y ) ] )
% 1.25/1.69 , clause( 2947, [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0',
% 1.25/1.69 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ] )
% 1.25/1.69 , clause( 2948, [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0',
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2949, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 2950, [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =(
% 1.25/1.69 'c_IntDef_Oint'( 'c_IntDef_Onat'( X ) ), X ) ] )
% 1.25/1.69 , clause( 2951, [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =(
% 1.25/1.69 'c_IntDef_Oint'( 'c_IntDef_Onat'( X ) ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2952, [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel',
% 1.25/1.69 'c_insert'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'(
% 1.25/1.69 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.25/1.69 'tc_nat', 'tc_nat' ) ), 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat'
% 1.25/1.69 , 'tc_nat' ) ) ) ] )
% 1.25/1.69 , clause( 2953, [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' )
% 1.25/1.69 , 'c_Pair'( Z, T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.25/1.69 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.25/1.69 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ),
% 1.25/1.69 =( 'c_plus'( X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 2954, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T,
% 1.25/1.69 'tc_nat' ) ) ), 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ),
% 1.25/1.69 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.25/1.69 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.25/1.69 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 1.25/1.69 , clause( 2955, [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ] )
% 1.25/1.69 , clause( 2956, [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =(
% 1.25/1.69 'c_IntDef_Onat'( X ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2957, [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2958, [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ),
% 1.25/1.69 'tc_IntDef_Oint' ) ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2959, [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X
% 1.25/1.69 ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2960, [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ] )
% 1.25/1.69 , clause( 2961, [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ] )
% 1.25/1.69 , clause( 2962, [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_IntDef_Oint'( 'c_0' ) ) ] )
% 1.25/1.69 , clause( 2963, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'(
% 1.25/1.69 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 2964, [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ),
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 2965, [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'(
% 1.25/1.69 'c_Suc'( X ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 2966, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.69 'c_0', 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 1.25/1.69 , clause( 2967, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.69 'c_0', 'c_IntDef_Oof__int'( 'c_0', X ) ) ] )
% 1.25/1.69 , clause( 2968, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_lessequals'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'(
% 1.25/1.69 'c_0', Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2969, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_lessequals'( 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), X ) ] )
% 1.25/1.69 , clause( 2970, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y,
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2971, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), X ) ] )
% 1.25/1.69 , clause( 2972, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.69 'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ] )
% 1.25/1.69 , clause( 2973, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.69 'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'(
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 1.25/1.69 , clause( 2974, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.69 'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'(
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 1.25/1.69 , clause( 2975, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.69 , clause( 2976, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.69 'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.69 , clause( 2977, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 2978, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.69 'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.25/1.69 , X ) ) ] )
% 1.25/1.69 , clause( 2979, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'(
% 1.25/1.69 Y, 'c_0', 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2980, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_lessequals'( Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ] )
% 1.25/1.69 , clause( 2981, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X )
% 1.25/1.69 , X ) ), 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2982, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ] )
% 1.25/1.69 , clause( 2983, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0',
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2984, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_less'( Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'(
% 1.25/1.69 Y, X ), 'c_0', X ) ] )
% 1.25/1.69 , clause( 2985, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) )
% 1.25/1.69 , 'c_less'( Y, Z, 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2986, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.69 'c_less'( Y, Z, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X
% 1.25/1.69 ), 'c_IntDef_Oof__int'( Z, X ), X ) ] )
% 1.25/1.69 , clause( 2987, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.69 'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'(
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), X ) ) ] )
% 1.25/1.69 , clause( 2988, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.69 'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'(
% 1.25/1.69 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 1.25/1.69 , clause( 2989, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.69 'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ),
% 1.25/1.69 'c_NatArith_Oof__nat'( Y, X ) ) ] )
% 1.25/1.69 , clause( 2990, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.69 ) ), 'c_in'( 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ] )
% 1.25/1.69 , clause( 2991, [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ),
% 1.25/1.69 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2992, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.69 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2993, [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ),
% 1.25/1.69 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2994, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.69 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2995, [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ),
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2996, [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'(
% 1.25/1.69 Y ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2997, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.69 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 2998, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.25/1.69 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 1.25/1.69 , clause( 2999, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'(
% 1.25/1.69 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3000, [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ),
% 1.25/1.69 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3001, [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ),
% 1.25/1.69 'tc_nat' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3002, [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.69 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ),
% 1.25/1.69 'c_IntDef_Onat'( Y ), 'tc_nat' ) ] )
% 1.25/1.69 , clause( 3003, [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3004, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_0', 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.69 ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.25/1.69 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3005, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.69 ), =( 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_fst'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3006, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.69 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3007, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.69 ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.69 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3008, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_fst'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.25/1.69 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3009, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.69 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_fst'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3010, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3011, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.25/1.69 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3012, [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.25/1.69 ), Y, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3013, [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3014, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_0', 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.69 ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.25/1.69 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3015, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.69 ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_snd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3016, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.69 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3017, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.69 ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.69 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3018, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1'
% 1.25/1.69 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.25/1.69 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3019, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.69 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3020, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.69 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'(
% 1.25/1.69 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.25/1.69 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3021, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.25/1.69 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.69 , 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.25/1.69 , clause( 3022, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.69 'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3023, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.69 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'(
% 1.25/1.69 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.25/1.69 , clause( 3024, [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X,
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.25/1.69 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1',
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3025, [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X
% 1.25/1.69 , 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3026, [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ),
% 1.25/1.69 'c_lessequals'( 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0',
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3027, [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3028, [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X,
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0',
% 1.25/1.69 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3029, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.69 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.25/1.69 'c_0', 'c_1', 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3030, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1',
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.69 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.25/1.69 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.25/1.69 , clause( 3031, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'(
% 1.25/1.69 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_Numeral_Onumber__of'( Y,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3032, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'(
% 1.25/1.69 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.69 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.69 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.25/1.69 , clause( 3033, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.69 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 3034, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ),
% 1.25/1.69 'c_lessequals'( 'c_0', 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3035, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3036, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_times'( X, 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint'
% 1.25/1.69 ) ) ] )
% 1.25/1.69 , clause( 3037, [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ] )
% 1.25/1.69 , clause( 3038, [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.25/1.69 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ) ) ] )
% 1.25/1.69 , clause( 3039, [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X
% 1.25/1.69 , 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3040, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'(
% 1.25/1.69 Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3041, [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =(
% 1.25/1.69 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X,
% 1.25/1.69 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'(
% 1.25/1.69 'c_plus'( 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1',
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3042, [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_1' ) ] )
% 1.25/1.69 , clause( 3043, [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3044, [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X,
% 1.25/1.69 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3045, [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3046, [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.25/1.69 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3047, [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X,
% 1.25/1.69 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), Y ) ] )
% 1.25/1.69 , clause( 3048, [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), Y ) ] )
% 1.25/1.69 , clause( 3049, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ),
% 1.25/1.69 =( X, 'c_0' ) ] )
% 1.25/1.69 , clause( 3050, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 3051, [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.69 , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3052, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'(
% 1.25/1.69 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.69 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3053, [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3054, [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3055, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0',
% 1.25/1.69 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X,
% 1.25/1.69 'c_0' ) ] )
% 1.25/1.69 , clause( 3056, [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X,
% 1.25/1.69 'c_0' ) ] )
% 1.25/1.69 , clause( 3057, [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.25/1.69 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3058, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3059, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.25/1.69 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.25/1.69 'tc_IntDef_Oint' ) ] )
% 1.25/1.69 , clause( 3060, [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_0' ) ] )
% 1.25/1.69 , clause( 3061, [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.69 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3062, [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0'
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3063, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint'
% 1.25/1.69 ), X, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' )
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3064, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint'
% 1.25/1.69 ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3065, [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ),
% 1.25/1.69 'c_0' ) ] )
% 1.25/1.69 , clause( 3066, [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 1.25/1.69 ), 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.25/1.69 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.69 , clause( 3067, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3068, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y,
% 1.25/1.69 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3069, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =(
% 1.25/1.69 'c_LOrder_Ojoin'( Y, Y, X ), Y ) ] )
% 1.25/1.69 , clause( 3070, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =(
% 1.25/1.69 'c_LOrder_Omeet'( Y, Y, X ), Y ) ] )
% 1.25/1.69 , clause( 3071, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.69 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.25/1.69 Z, Z ) ), =( X, T ) ] )
% 1.25/1.69 , clause( 3072, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.69 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.25/1.69 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.25/1.69 Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3073, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.69 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y,
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3074, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.69 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.25/1.69 , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'(
% 1.25/1.69 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y,
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3075, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 1.25/1.69 ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W,
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.25/1.69 , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.25/1.69 Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3076, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.25/1.69 Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'(
% 1.25/1.69 U, X, Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.25/1.69 Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3077, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 1.25/1.69 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 1.25/1.69 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 1.25/1.69 , clause( 3078, [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.25/1.69 , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3079, [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ),
% 1.25/1.69 'c_List_Oset'( X, 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =(
% 1.25/1.69 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ] )
% 1.25/1.69 , clause( 3080, [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ),
% 1.25/1.69 'c_List_Olist_ONil' ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y )
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3081, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =(
% 1.25/1.69 X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3082, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =(
% 1.25/1.69 Y, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3083, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 1.25/1.69 'c_List_Olist_ONil', X ) ) ] )
% 1.25/1.69 , clause( 3084, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =(
% 1.25/1.69 X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3085, [ =( 'c_List_Olist_ONil', 'c_List_Orev'(
% 1.25/1.69 'c_List_Olist_ONil', X ) ) ] )
% 1.25/1.69 , clause( 3086, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 1.25/1.69 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 1.25/1.69 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 1.25/1.69 , clause( 3087, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.25/1.69 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 1.25/1.69 'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 1.25/1.69 , clause( 3088, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.25/1.69 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 1.25/1.69 'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 1.25/1.69 , clause( 3089, [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'(
% 1.25/1.69 X, 'c_append'( Y, T, Z ), Z ) ) ] )
% 1.25/1.69 , clause( 3090, [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'(
% 1.25/1.69 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ),
% 1.25/1.69 'c_List_Olist_ONil', Y ), Y ), X ) ] )
% 1.25/1.69 , clause( 3091, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.69 'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y )
% 1.25/1.69 , 'c_append'( Z, U, Y ) ) ), =( X, Z ) ] )
% 1.25/1.69 , clause( 3092, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.69 'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y )
% 1.25/1.69 , 'c_append'( Z, U, Y ) ) ), =( T, U ) ] )
% 1.25/1.69 , clause( 3093, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.69 'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y )
% 1.25/1.69 , 'c_append'( U, Z, Y ) ) ), =( T, U ) ] )
% 1.25/1.69 , clause( 3094, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.69 'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y )
% 1.25/1.69 , 'c_append'( U, Z, Y ) ) ), =( X, Z ) ] )
% 1.25/1.69 , clause( 3095, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z )
% 1.25/1.69 , 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.69 , clause( 3096, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z )
% 1.25/1.69 , 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.69 , clause( 3097, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 1.25/1.69 ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ),
% 1.25/1.69 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 1.25/1.69 Z ) ) ] )
% 1.25/1.69 , clause( 3098, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =(
% 1.25/1.69 X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3099, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =(
% 1.25/1.69 Y, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3100, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil',
% 1.25/1.69 X ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3101, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ),
% 1.25/1.69 =( X, T ) ] )
% 1.25/1.69 , clause( 3102, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X,
% 1.25/1.69 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3103, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 1.25/1.69 , clause( 3104, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y,
% 1.25/1.69 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3105, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 1.25/1.69 , clause( 3106, [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'(
% 1.25/1.69 X, Y, Z ), Z ), Y ) ] )
% 1.25/1.69 , clause( 3107, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ),
% 1.25/1.69 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3108, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X,
% 1.25/1.69 'c_List_Olist_ONil', Y ), Y ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3109, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'(
% 1.25/1.69 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 1.25/1.69 'c_List_Obutlast'( X, Z ), Z ) ) ] )
% 1.25/1.69 , clause( 3110, [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'(
% 1.25/1.69 Y, 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ] )
% 1.25/1.69 , clause( 3111, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 1.25/1.69 Z, T ) ) ), =( X, Z ) ] )
% 1.25/1.69 , clause( 3112, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 1.25/1.69 Z, T ) ) ), =( Y, T ) ] )
% 1.25/1.69 , clause( 3113, [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ),
% 1.25/1.69 'tc_List_Ochar' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3114, [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ),
% 1.25/1.69 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3115, [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y,
% 1.25/1.69 'tc_List_Olist'( Z ) ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z )
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3116, [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z
% 1.25/1.69 ) ), Z ), 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z )
% 1.25/1.69 , Z ) ) ] )
% 1.25/1.69 , clause( 3117, [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ),
% 1.25/1.69 'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3118, [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ),
% 1.25/1.69 'c_List_Oset'( X, 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =(
% 1.25/1.69 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3119, [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ),
% 1.25/1.69 'c_List_Olist_ONil' ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil'
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3120, [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ),
% 1.25/1.69 'c_List_Odistinct'( X, Y ) ] )
% 1.25/1.69 , clause( 3121, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.69 'c_List_Orotate1'( X, Y ), Y ) ] )
% 1.25/1.69 , clause( 3122, [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ] )
% 1.25/1.69 , clause( 3123, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z
% 1.25/1.69 ) ), ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 1.25/1.69 , clause( 3124, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z
% 1.25/1.69 ) ), 'c_List_Odistinct'( Y, Z ) ] )
% 1.25/1.69 , clause( 3125, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.69 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3126, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.25/1.69 'c_List_Odistinct'( X, Z ) ] )
% 1.25/1.69 , clause( 3127, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.25/1.69 'c_List_Odistinct'( Y, Z ) ] )
% 1.25/1.69 , clause( 3128, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =(
% 1.25/1.69 'c_inter'( 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ),
% 1.25/1.69 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 3129, [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z
% 1.25/1.69 , Y ) ), ~( =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y
% 1.25/1.69 ), 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ] )
% 1.25/1.69 , clause( 3130, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.69 'c_List_Odrop'( Z, X, Y ), Y ) ] )
% 1.25/1.69 , clause( 3131, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.69 'c_List_Oremove1'( Z, X, Y ), Y ) ] )
% 1.25/1.69 , clause( 3132, [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ),
% 1.25/1.69 'c_List_Odistinct'( X, Y ) ] )
% 1.25/1.69 , clause( 3133, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.69 'c_List_Orev'( X, Y ), Y ) ] )
% 1.25/1.69 , clause( 3134, [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) )
% 1.25/1.69 , 'c_List_Odistinct'( Y, Z ) ] )
% 1.25/1.69 , clause( 3135, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.69 'c_List_Orotate'( Z, X, Y ), Y ) ] )
% 1.25/1.69 , clause( 3136, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.69 'c_List_Osublist'( X, Z, Y ), Y ) ] )
% 1.25/1.69 , clause( 3137, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.69 'c_List_Otake'( Z, X, Y ), Y ) ] )
% 1.25/1.69 , clause( 3138, [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 3139, [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.69 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3140, [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ] )
% 1.25/1.69 , clause( 3141, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.69 =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.69 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 3142, [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.25/1.69 , 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'(
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =(
% 1.25/1.69 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3143, [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y
% 1.25/1.69 , Z, T ), T ), 'c_List_Odrop'( X, Z, T ) ) ] )
% 1.25/1.69 , clause( 3144, [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ),
% 1.25/1.69 'c_append'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X,
% 1.25/1.69 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 1.25/1.69 , clause( 3145, [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ),
% 1.25/1.69 'c_List_Odrop'( 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ] )
% 1.25/1.69 , clause( 3146, [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) )
% 1.25/1.69 , 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3147, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.69 ), Z, 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3148, [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T )
% 1.25/1.69 , 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ] )
% 1.25/1.69 , clause( 3149, [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ),
% 1.25/1.69 'c_List_Oupt'( 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ] )
% 1.25/1.69 , clause( 3150, [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3151, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'(
% 1.25/1.69 'c_List_Ohd'( X, Y ), 'c_List_Otl'( X, Y ), Y ), X ) ] )
% 1.25/1.69 , clause( 3152, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'(
% 1.25/1.69 X, Y, Z ), Z ), 'c_List_Ohd'( X, Z ) ) ] )
% 1.25/1.69 , clause( 3153, [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y )
% 1.25/1.69 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3154, [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y
% 1.25/1.69 , Z ), Z ), Y ) ] )
% 1.25/1.69 , clause( 3155, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'(
% 1.25/1.69 'c_List_Oupt'( X, Y ), 'tc_nat' ), X ) ] )
% 1.25/1.69 , clause( 3156, [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'(
% 1.25/1.69 X, Z ), Y, Z ) ) ] )
% 1.25/1.69 , clause( 3157, [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 1.25/1.69 , clause( 3158, [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z
% 1.25/1.69 ), 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ] )
% 1.25/1.69 , clause( 3159, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X,
% 1.25/1.69 'c_List_Olist_ONil', Y ), Y ), X ) ] )
% 1.25/1.69 , clause( 3160, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'(
% 1.25/1.69 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ] )
% 1.25/1.69 , clause( 3161, [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y
% 1.25/1.69 ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 1.25/1.69 , clause( 3162, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'(
% 1.25/1.69 'c_append'( Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ] )
% 1.25/1.69 , clause( 3163, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.69 , 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 1.25/1.69 'c_List_Olast'( Y, Z ) ) ] )
% 1.25/1.69 , clause( 3164, [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y
% 1.25/1.69 ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3165, [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X
% 1.25/1.69 , Y, Z ), Z ), Y ) ] )
% 1.25/1.69 , clause( 3166, [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y
% 1.25/1.69 , 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ] )
% 1.25/1.69 , clause( 3167, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'(
% 1.25/1.69 'c_List_Oupt'( X, Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3168, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) )
% 1.25/1.69 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3169, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X
% 1.25/1.69 ) ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3170, [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'(
% 1.25/1.69 Z ) ), 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'(
% 1.25/1.69 Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3171, [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ),
% 1.25/1.69 'tc_List_Olist'( Y ) ), 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.69 ), 'c_1', 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3172, [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.25/1.69 ), X, 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3173, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 1.25/1.69 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3174, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) )
% 1.25/1.69 , 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3175, [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 1.25/1.69 'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ] )
% 1.25/1.69 , clause( 3176, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 1.25/1.69 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =(
% 1.25/1.69 'c_List_Oremdups'( X, Y ), X ) ] )
% 1.25/1.69 , clause( 3177, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 1.25/1.69 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 1.25/1.69 'tc_List_Olist'( Y ) ) ) ] )
% 1.25/1.69 , clause( 3178, [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ), X ) ] )
% 1.25/1.69 , clause( 3179, [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 1.25/1.69 Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 1.25/1.69 , clause( 3180, [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ),
% 1.25/1.69 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 1.25/1.69 , clause( 3181, [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3182, [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( Y,
% 1.25/1.69 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3183, [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'(
% 1.25/1.69 Y ) ), 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.25/1.69 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3184, [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'(
% 1.25/1.69 'tc_nat' ) ), 'c_minus'( Y, X, 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3185, [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ),
% 1.25/1.69 'tc_List_Olist'( 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'(
% 1.25/1.69 X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ),
% 1.25/1.69 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3186, [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ] )
% 1.25/1.69 , clause( 3187, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 1.25/1.69 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ),
% 1.25/1.69 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.25/1.69 'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ),
% 1.25/1.69 'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ] )
% 1.25/1.69 , clause( 3188, [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil',
% 1.25/1.69 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.69 ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3189, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 1.25/1.69 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ),
% 1.25/1.69 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 1.25/1.69 , clause( 3190, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.69 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.25/1.69 Z, Z ) ), =( X, T ) ] )
% 1.25/1.69 , clause( 3191, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.69 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.25/1.69 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.25/1.69 Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3192, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 1.25/1.69 ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.69 ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3193, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'(
% 1.25/1.69 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.69 'c_List_Olist_OCons'( U, X, Z ), 'c_List_Olist_OCons'( U, Y, Z ),
% 1.25/1.69 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ),
% 1.25/1.69 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.69 , clause( 3194, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 1.25/1.69 ) ) ) ] )
% 1.25/1.69 , clause( 3195, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'c_List_Olist_ONil' ) ) ] )
% 1.25/1.69 , clause( 3196, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 1.25/1.69 , clause( 3197, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 1.25/1.69 , clause( 3198, [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.69 'tc_List_Olist'( Z ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.25/1.69 ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 1.25/1.69 , clause( 3199, [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ),
% 1.25/1.69 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3200, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =(
% 1.25/1.69 'c_List_Olist__inter'( 'c_List_Olist_OCons'( X, T, Z ), Y, Z ),
% 1.25/1.69 'c_List_Olist_OCons'( X, 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ] )
% 1.25/1.69 , clause( 3201, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =(
% 1.25/1.69 'c_List_Olist__inter'( 'c_List_Olist_OCons'( X, T, Z ), Y, Z ),
% 1.25/1.69 'c_List_Olist__inter'( T, Y, Z ) ) ] )
% 1.25/1.69 , clause( 3202, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z )
% 1.25/1.69 , 'c_List_Olist_ONil' ) ] )
% 1.25/1.69 , clause( 3203, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.69 ), Z, 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ] )
% 1.25/1.69 , clause( 3204, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.69 , 'tc_nat' ) ), =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z )
% 1.25/1.69 , Z ), Y ) ] )
% 1.25/1.69 , clause( 3205, [ =( 'c_List_Olist__update'( 'c_append'( X,
% 1.25/1.69 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'(
% 1.25/1.69 T ) ), U, T ), 'c_append'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ] )
% 1.25/1.69 , clause( 3206, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.69 , 'tc_nat' ) ), =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X,
% 1.25/1.69 T, Z ), X, U, Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ] )
% 1.25/1.69 , clause( 3207, [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ),
% 1.25/1.69 'c_insert'( 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ),
% 1.25/1.69 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'(
% 1.25/1.69 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ] )
% 1.25/1.69 , clause( 3208, [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'(
% 1.25/1.69 'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3209, [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.25/1.69 , clause( 3210, [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ),
% 1.25/1.69 'c_insert'( 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ]
% 1.25/1.69 )
% 1.25/1.69 , clause( 3211, [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y,
% 1.25/1.69 'tc_set'( Z ) ), Z ), 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ),
% 1.25/1.69 Z ) ) ] )
% 1.25/1.69 , clause( 3212, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3213, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3214, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3215, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3216, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3217, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3218, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3219, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3220, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3221, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3222, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3223, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3224, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3225, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3226, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3227, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3228, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3229, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3230, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3231, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3232, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3233, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3234, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3235, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3236, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3237, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3238, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3239, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3240, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W )
% 1.25/1.69 ] )
% 1.25/1.69 , clause( 3241, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3242, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3243, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.69 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2
% 1.25/1.69 ) ] )
% 1.25/1.69 , clause( 3244, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3245, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3246, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3247, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3248, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3249, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3250, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3251, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3252, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3253, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3254, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3255, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3256, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.69 , clause( 3257, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6',
% 1.25/1.69 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3258, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7',
% 1.25/1.70 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3259, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8',
% 1.25/1.70 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3260, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 1.25/1.70 , clause( 3261, [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T )
% 1.25/1.70 , T ), T ) ), 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ] )
% 1.25/1.70 , clause( 3262, [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T )
% 1.25/1.70 , T ), T ) ), 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ] )
% 1.25/1.70 , clause( 3263, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0'
% 1.25/1.70 , Z ), X ) ] )
% 1.25/1.70 , clause( 3264, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.70 'c_Suc'( T ), Z ), 'c_List_Onth'( Y, T, Z ) ) ] )
% 1.25/1.70 , clause( 3265, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.70 =( 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ),
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), T ), Y ) ] )
% 1.25/1.70 , clause( 3266, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.70 'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3267, [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y
% 1.25/1.70 , Z, T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ] )
% 1.25/1.70 , clause( 3268, [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'(
% 1.25/1.70 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ),
% 1.25/1.70 'c_List_Onth'( Y, T, Z ) ) ] )
% 1.25/1.70 , clause( 3269, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ),
% 1.25/1.70 'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'(
% 1.25/1.70 'c_List_Odrop'( X, Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y,
% 1.25/1.70 'tc_nat' ), T ) ) ] )
% 1.25/1.70 , clause( 3270, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.70 , 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X
% 1.25/1.70 , Z ), T ) ] )
% 1.25/1.70 , clause( 3271, [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X
% 1.25/1.70 , T, U ), Y, U ), 'c_List_Onth'( Z, Y, U ) ) ] )
% 1.25/1.70 , clause( 3272, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.70 , 'tc_nat' ) ), 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ),
% 1.25/1.70 Z ) ] )
% 1.25/1.70 , clause( 3273, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'(
% 1.25/1.70 'c_List_Oreplicate'( Y, Z, T ), X, T ), Z ) ] )
% 1.25/1.70 , clause( 3274, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'(
% 1.25/1.70 'c_List_Otake'( Y, Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ] )
% 1.25/1.70 , clause( 3275, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) )
% 1.25/1.70 , =( 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y
% 1.25/1.70 , 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3276, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.70 , 'tc_nat' ) ), ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) )
% 1.25/1.70 , 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X,
% 1.25/1.70 'tc_prod'( U, Z ) ), 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y
% 1.25/1.70 , X, Z ), U, Z ) ) ] )
% 1.25/1.70 , clause( 3277, [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ] )
% 1.25/1.70 , clause( 3278, [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3279, [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.25/1.70 'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ] )
% 1.25/1.70 , clause( 3280, [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.70 , clause( 3281, [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 1.25/1.70 , T ) ), 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ] )
% 1.25/1.70 , clause( 3282, [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3283, [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X,
% 1.25/1.70 'c_List_Olist_OCons'( T, Y, Z ), Z ) ] )
% 1.25/1.70 , clause( 3284, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =(
% 1.25/1.70 'c_List_Oremdups'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 1.25/1.70 'c_List_Oremdups'( Y, Z ) ) ] )
% 1.25/1.70 , clause( 3285, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =(
% 1.25/1.70 'c_List_Oremdups'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 1.25/1.70 'c_List_Olist_OCons'( X, 'c_List_Oremdups'( Y, Z ), Z ) ) ] )
% 1.25/1.70 , clause( 3286, [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) )
% 1.25/1.70 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3287, [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3288, [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) )
% 1.25/1.70 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3289, [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'(
% 1.25/1.70 'c_List_Olist_ONil', X ) ) ] )
% 1.25/1.70 , clause( 3290, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3291, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z )
% 1.25/1.70 , Z ), Y ) ] )
% 1.25/1.70 , clause( 3292, [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'(
% 1.25/1.70 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 3293, [ =( 'c_List_Oreplicate'( 'c_0', X, Y ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3294, [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ),
% 1.25/1.70 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 1.25/1.70 , clause( 3295, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 1.25/1.70 'c_append'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 1.25/1.70 'c_List_Olist_ONil', Z ), Z ) ) ] )
% 1.25/1.70 , clause( 3296, [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'(
% 1.25/1.70 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ] )
% 1.25/1.70 , clause( 3297, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T,
% 1.25/1.70 Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z
% 1.25/1.70 , 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 1.25/1.70 , clause( 3298, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 1.25/1.70 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 1.25/1.70 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 1.25/1.70 , clause( 3299, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =(
% 1.25/1.70 X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3300, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3301, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ),
% 1.25/1.70 =( X, Z ) ] )
% 1.25/1.70 , clause( 3302, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.25/1.70 'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 1.25/1.70 , clause( 3303, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 1.25/1.70 , clause( 3304, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 1.25/1.70 'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 1.25/1.70 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.70 , clause( 3305, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X,
% 1.25/1.70 'c_List_Olist_ONil', Y ), Y ), 'c_List_Olist_OCons'( X,
% 1.25/1.70 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.70 , clause( 3306, [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) )
% 1.25/1.70 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3307, [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3308, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.70 ), 'c_1', 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ] )
% 1.25/1.70 , clause( 3309, [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ),
% 1.25/1.70 'c_List_Orotate1'( 'c_List_Orotate'( X, Y, Z ), Z ) ) ] )
% 1.25/1.70 , clause( 3310, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y,
% 1.25/1.70 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y
% 1.25/1.70 , Z ), Y ) ] )
% 1.25/1.70 , clause( 3311, [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' )
% 1.25/1.70 ), =( Y, 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3312, [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3313, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.70 ), 'c_1', 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ] )
% 1.25/1.70 , clause( 3314, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ),
% 1.25/1.70 =( Y, T ) ] )
% 1.25/1.70 , clause( 3315, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y,
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3316, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 1.25/1.70 , clause( 3317, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y,
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3318, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.70 , clause( 3319, [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 1.25/1.70 'c_insert'( X, 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 1.25/1.70 , clause( 3320, [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'(
% 1.25/1.70 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 1.25/1.70 , clause( 3321, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3322, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3323, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3324, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3325, [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ),
% 1.25/1.70 'c_List_Oset'( X, Y ) ) ] )
% 1.25/1.70 , clause( 3326, [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'(
% 1.25/1.70 'c_List_Oremove1'( Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ),
% 1.25/1.70 'c_insert'( Z, 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ] )
% 1.25/1.70 , clause( 3327, [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X,
% 1.25/1.70 Y, Z ), Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ] )
% 1.25/1.70 , clause( 3328, [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ),
% 1.25/1.70 'c_List_Oset'( X, Y ) ) ] )
% 1.25/1.70 , clause( 3329, [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ),
% 1.25/1.70 'c_List_Oset'( X, Y ) ) ] )
% 1.25/1.70 , clause( 3330, [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ),
% 1.25/1.70 'c_List_Oset'( Y, Z ) ) ] )
% 1.25/1.70 , clause( 3331, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.70 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 1.25/1.70 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.70 , clause( 3332, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.70 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3333, [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3334, [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3335, [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'(
% 1.25/1.70 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.25/1.70 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ] )
% 1.25/1.70 , clause( 3336, [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'(
% 1.25/1.70 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3337, [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y,
% 1.25/1.70 'tc_nat' ), Z ), 'c_List_Otake'( Y, X, Z ) ) ] )
% 1.25/1.70 , clause( 3338, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.70 =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3339, [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.25/1.70 , 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 1.25/1.70 'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.25/1.70 , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_0' ) ] )
% 1.25/1.70 , clause( 3340, [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y
% 1.25/1.70 , Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3341, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.70 ), Z, 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ] )
% 1.25/1.70 , clause( 3342, [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ),
% 1.25/1.70 'c_append'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X,
% 1.25/1.70 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 1.25/1.70 , clause( 3343, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) )
% 1.25/1.70 , =( X, 'c_0' ), =( Y, 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3344, [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3345, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3346, [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T )
% 1.25/1.70 , 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3347, [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ),
% 1.25/1.70 'c_List_Otake'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ] )
% 1.25/1.70 , clause( 3348, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z,
% 1.25/1.70 'tc_nat' ) ), =( 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ),
% 1.25/1.70 'c_List_Oupt'( X, 'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.70 , clause( 3349, [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3350, [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3351, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'(
% 1.25/1.70 X, Y, Z ), Z ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ] )
% 1.25/1.70 , clause( 3352, [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y
% 1.25/1.70 , Z ), Z ), 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z )
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3353, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'(
% 1.25/1.70 X, 'c_Suc'( Y ) ), 'c_append'( 'c_List_Oupt'( X, Y ),
% 1.25/1.70 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3354, [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X,
% 1.25/1.70 'c_Suc'( Y ) ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3355, [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ),
% 1.25/1.70 'c_lessequals'( Y, X, 'tc_nat' ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3356, [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3357, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'(
% 1.25/1.70 Y, X ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3358, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 1.25/1.70 , clause( 3359, [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3360, [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.70 'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'(
% 1.25/1.70 X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ] )
% 1.25/1.70 , clause( 3361, [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ),
% 1.25/1.70 'c_List_Olist_ONil' ) ] )
% 1.25/1.70 , clause( 3362, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.70 'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U,
% 1.25/1.70 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =(
% 1.25/1.70 'c_List_Ozip'( 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ),
% 1.25/1.70 'c_append'( 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ),
% 1.25/1.70 'tc_prod'( Y, T ) ) ) ] )
% 1.25/1.70 , clause( 3363, [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ),
% 1.25/1.70 'c_List_Oreplicate'( T, U, W ), Z, W ), 'c_List_Oreplicate'(
% 1.25/1.70 'c_Orderings_Omin'( X, T, 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'(
% 1.25/1.70 Z, W ) ) ) ] )
% 1.25/1.70 , clause( 3364, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =(
% 1.25/1.70 'c_Map_Omap__of'( 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ),
% 1.25/1.70 'c_Datatype_Ooption_ONone' ) ), ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'(
% 1.25/1.70 Z ) ), 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ) ) ) ] )
% 1.25/1.70 , clause( 3365, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.70 'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X
% 1.25/1.70 , Y ), Y ), =( 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ),
% 1.25/1.70 'c_Datatype_Ooption_ONone' ) ] )
% 1.25/1.70 , clause( 3366, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'(
% 1.25/1.70 'c_minus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z,
% 1.25/1.70 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3367, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z,
% 1.25/1.70 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y,
% 1.25/1.70 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3368, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z,
% 1.25/1.70 'c_Suc'( 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'(
% 1.25/1.70 Z, X, 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3369, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'(
% 1.25/1.70 'c_Suc'( 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'(
% 1.25/1.70 Y ), 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3370, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y,
% 1.25/1.70 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.25/1.70 , clause( 3371, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z,
% 1.25/1.70 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X,
% 1.25/1.70 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3372, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 Y, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3373, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.70 ) ), =( 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'(
% 1.25/1.70 'c_NatArith_Oof__nat'( Y, X ), 'c_1', X ) ) ] )
% 1.25/1.70 , clause( 3374, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 =( 'c_0', 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 1.25/1.70 , clause( 3375, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.25/1.70 'c_0', 'c_NatArith_Oof__nat'( 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 3376, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.70 'c_lessequals'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3377, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y
% 1.25/1.70 , 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3378, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'(
% 1.25/1.70 Y, X ), X ) ] )
% 1.25/1.70 , clause( 3379, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.70 ) ), =( 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3380, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.70 ) ), =( 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'(
% 1.25/1.70 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ] )
% 1.25/1.70 , clause( 3381, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'(
% 1.25/1.70 Z, Y, 'tc_nat' ), X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ),
% 1.25/1.70 'c_NatArith_Oof__nat'( Y, X ), X ) ) ] )
% 1.25/1.70 , clause( 3382, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 =( 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3383, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.25/1.70 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3384, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 =( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y
% 1.25/1.70 , Z ) ] )
% 1.25/1.70 , clause( 3385, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3386, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.70 'c_lessequals'( 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3387, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z,
% 1.25/1.70 X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3388, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'(
% 1.25/1.70 Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ] )
% 1.25/1.70 , clause( 3389, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 3390, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X
% 1.25/1.70 ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3391, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_less'( Y, Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ),
% 1.25/1.70 'c_NatArith_Oof__nat'( Z, X ), X ) ] )
% 1.25/1.70 , clause( 3392, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.70 ) ), =( 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ),
% 1.25/1.70 'c_times'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ),
% 1.25/1.70 X ) ) ] )
% 1.25/1.70 , clause( 3393, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Suc'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3394, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Suc'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3395, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_plus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3396, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.70 'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.25/1.70 X, 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3397, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.70 'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.25/1.70 X, 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.70 Y, X ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3398, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3399, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_div'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.70 , clause( 3400, [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =(
% 1.25/1.70 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3401, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) )
% 1.25/1.70 , 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3402, [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.25/1.70 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3403, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3404, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3405, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.25/1.70 X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ),
% 1.25/1.70 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3406, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.25/1.70 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3407, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3408, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.70 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3409, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.70 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.70 , ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3410, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.70 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.70 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3411, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.70 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3412, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.25/1.70 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3413, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.70 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.70 , 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3414, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3415, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.70 'c_Numeral_Obin__minus'( X ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.70 , 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3416, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.70 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3417, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.70 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.70 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.70 , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3418, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.70 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3419, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3420, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3421, [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 1.25/1.70 'c_plus'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' )
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3422, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3423, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.70 , clause( 3424, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.25/1.70 ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_Obin__minus'( X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3425, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_Obin__minus'( X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.25/1.70 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3426, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3427, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.70 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.70 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3428, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.70 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3429, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.25/1.70 , 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.25/1.70 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3430, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.25/1.70 , 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.25/1.70 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3431, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3432, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.70 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3433, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.70 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.25/1.70 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3434, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3435, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'(
% 1.25/1.70 X, Y ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3436, [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ) ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3437, [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' )
% 1.25/1.70 , 'c_0' ) ] )
% 1.25/1.70 , clause( 3438, [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3439, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ) ), =( 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, 'tc_nat' ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3440, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.70 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 1.25/1.70 , clause( 3441, [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X
% 1.25/1.70 , 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1',
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3442, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.25/1.70 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'c_Suc'( 'c_0' ) ) ] )
% 1.25/1.70 , clause( 3443, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'(
% 1.25/1.70 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X
% 1.25/1.70 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.70 , clause( 3444, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_1', 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_nat' ), X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3445, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X ),
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.70 ), X ) ) ] )
% 1.25/1.70 , clause( 3446, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.70 'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.25/1.70 , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_nat' ), Z, 'tc_nat' ), X ) ) ] )
% 1.25/1.70 , clause( 3447, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.25/1.70 , 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3448, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Nat_Opower'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, 'tc_nat' ), 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.70 , clause( 3449, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_nat' ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3450, [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.25/1.70 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.70 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3451, [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) )
% 1.25/1.70 ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'c_Divides_Oop_Amod'( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'tc_nat' ), X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3452, [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.70 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 3453, [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.70 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3454, [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ),
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.25/1.70 , clause( 3455, [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3456, [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ),
% 1.25/1.70 'tc_nat' ), 'c_div'( X, 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.25/1.70 , 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3457, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.25/1.70 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3458, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.25/1.70 , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.25/1.70 , 'c_0' ) ] )
% 1.25/1.70 , clause( 3459, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.70 ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.25/1.70 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ] )
% 1.25/1.70 , clause( 3460, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.25/1.70 ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3461, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.25/1.70 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.25/1.70 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3462, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.25/1.70 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3463, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.25/1.70 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.70 , X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3464, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.25/1.70 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ] )
% 1.25/1.70 , clause( 3465, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ),
% 1.25/1.70 X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.25/1.70 ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3466, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.25/1.70 ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.25/1.70 , 'c_0', X ) ] )
% 1.25/1.70 , clause( 3467, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.25/1.70 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.25/1.70 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3468, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.25/1.70 , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3469, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3470, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.70 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'(
% 1.25/1.70 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.25/1.70 , clause( 3471, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'(
% 1.25/1.70 T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3472, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.25/1.70 X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.25/1.70 , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 3473, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'(
% 1.25/1.70 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'(
% 1.25/1.70 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ] )
% 1.25/1.70 , clause( 3474, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.25/1.70 ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.25/1.70 , X ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3475, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.70 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.25/1.70 ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.25/1.70 , T, X ) ] )
% 1.25/1.70 , clause( 3476, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'(
% 1.25/1.70 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3477, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3478, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.25/1.70 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3479, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.25/1.70 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3480, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.25/1.70 , X ), 'c_less'( 'c_0', Z, X ) ] )
% 1.25/1.70 , clause( 3481, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.70 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.25/1.70 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3482, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.70 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.25/1.70 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3483, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z,
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.25/1.70 , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3484, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.25/1.70 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T,
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3485, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.70 Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.25/1.70 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3486, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.70 ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T,
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.25/1.70 , clause( 3487, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.25/1.70 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T,
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3488, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.70 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.25/1.70 , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.25/1.70 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.25/1.70 , clause( 3489, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3490, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.70 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.25/1.70 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3491, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.25/1.70 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.25/1.70 , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3492, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.70 'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.25/1.70 ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.25/1.70 ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3493, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3494, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.70 ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.25/1.70 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ] )
% 1.25/1.70 , clause( 3495, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.25/1.70 , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.70 ), X ) ) ] )
% 1.25/1.70 , clause( 3496, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.25/1.70 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3497, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.70 X ), X ) ) ] )
% 1.25/1.70 , clause( 3498, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.25/1.70 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) ) ] )
% 1.25/1.70 , clause( 3499, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.25/1.70 'c_1', X ), X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3500, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.25/1.70 , clause( 3501, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3502, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.70 ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ] )
% 1.25/1.70 , clause( 3503, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_divide'( 'c_1',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.25/1.70 , clause( 3504, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'(
% 1.25/1.70 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'(
% 1.25/1.70 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ] )
% 1.25/1.70 , clause( 3505, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.70 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'(
% 1.25/1.70 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3506, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3507, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.70 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.25/1.70 , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3508, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.70 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T,
% 1.25/1.70 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3509, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.25/1.70 T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.70 , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 3510, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.25/1.70 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3511, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.25/1.70 , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.25/1.70 ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 3512, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.70 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.25/1.70 ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ),
% 1.25/1.70 X ), X ) ] )
% 1.25/1.70 , clause( 3513, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.25/1.70 T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y,
% 1.25/1.70 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3514, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 3515, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 3516, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.25/1.70 'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3517, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ),
% 1.25/1.70 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3518, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_minus'( Y, Z, X )
% 1.25/1.70 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_minus'( 'c_times'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ] )
% 1.25/1.70 , clause( 3519, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z,
% 1.25/1.70 X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ] )
% 1.25/1.70 , clause( 3520, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.25/1.70 , clause( 3521, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.25/1.70 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.70 , clause( 3522, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y,
% 1.25/1.70 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.70 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3523, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.70 ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.25/1.70 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3524, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.25/1.70 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.70 , clause( 3525, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.70 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.70 , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.70 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.70 , clause( 3526, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z,
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'(
% 1.25/1.70 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3527, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.70 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.25/1.70 , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.25/1.70 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3528, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.25/1.70 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'(
% 1.25/1.70 Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3529, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.70 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.70 , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.70 , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ),
% 1.25/1.70 X ), X ) ] )
% 1.25/1.70 , clause( 3530, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.25/1.70 , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3531, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3532, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z,
% 1.25/1.70 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3533, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3534, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'(
% 1.25/1.70 'c_divide'( 'c_1', Y, X ), X ) ) ] )
% 1.25/1.70 , clause( 3535, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ] )
% 1.25/1.70 , clause( 3536, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 3537, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.25/1.70 , Y, X ) ] )
% 1.25/1.70 , clause( 3538, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.25/1.70 'c_1', X ) ] )
% 1.25/1.70 , clause( 3539, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.25/1.70 'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3540, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ),
% 1.25/1.70 'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3541, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3542, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3543, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'(
% 1.25/1.70 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.25/1.70 , clause( 3544, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'(
% 1.25/1.70 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3545, [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3546, [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X,
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3547, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3548, [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y
% 1.25/1.70 ) ) ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.25/1.70 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3549, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3550, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3551, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.70 , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3552, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.70 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 1.25/1.70 , clause( 3553, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.25/1.70 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ] )
% 1.25/1.70 , clause( 3554, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 1.25/1.70 , clause( 3555, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3556, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3557, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3558, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.70 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.70 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3559, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.25/1.70 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3560, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.25/1.70 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3561, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ] )
% 1.25/1.70 , clause( 3562, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ] )
% 1.25/1.70 , clause( 3563, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3564, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.70 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.70 , clause( 3565, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.70 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3566, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.70 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 1.25/1.70 , clause( 3567, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ] )
% 1.25/1.70 , clause( 3568, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ] )
% 1.25/1.70 , clause( 3569, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.25/1.70 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3570, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.70 , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.70 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.70 , clause( 3571, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.70 , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.70 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3572, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.70 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.70 , clause( 3573, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X ), X ), 'c_minus'(
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 1.25/1.70 , clause( 3574, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'(
% 1.25/1.70 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 1.25/1.70 , clause( 3575, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.25/1.70 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.25/1.70 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3576, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.25/1.70 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3577, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.25/1.70 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.70 , X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3578, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.25/1.70 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ] )
% 1.25/1.70 , clause( 3579, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.25/1.70 ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.25/1.70 , Y, X ), X ) ] )
% 1.25/1.70 , clause( 3580, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0',
% 1.25/1.70 X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.25/1.70 , Y, X ), X ) ] )
% 1.25/1.70 , clause( 3581, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3582, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.25/1.70 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3583, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.25/1.70 'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3584, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.25/1.70 'c_0', X ), 'c_less'( 'c_0', Z, X ) ] )
% 1.25/1.70 , clause( 3585, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.70 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.25/1.70 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3586, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.70 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.25/1.70 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3587, [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ] )
% 1.25/1.70 , clause( 3588, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 1.25/1.70 , clause( 3589, [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.25/1.70 'c_Suc'( Z ), 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z,
% 1.25/1.70 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3590, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' )
% 1.25/1.70 ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3591, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.70 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3592, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 1.25/1.70 'c_less'( X, Y, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3593, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ),
% 1.25/1.70 'c_Suc'( Y ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3594, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 1.25/1.70 , clause( 3595, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'(
% 1.25/1.70 'c_minus'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), X ) ] )
% 1.25/1.70 , clause( 3596, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 1.25/1.70 , clause( 3597, [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.25/1.70 , clause( 3598, [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.25/1.70 'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.70 , clause( 3599, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.25/1.70 ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3600, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3601, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3602, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3603, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3604, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3605, [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3606, [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ),
% 1.25/1.70 'c_minus'( X, Y, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3607, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'(
% 1.25/1.70 X, 'c_Suc'( Y ), 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3608, [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' )
% 1.25/1.70 , 'c_minus'( X, 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3609, [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.70 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3610, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y
% 1.25/1.70 , 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3611, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3612, [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3613, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3614, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3615, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'(
% 1.25/1.70 'c_minus'( Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 1.25/1.70 , clause( 3616, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X,
% 1.25/1.70 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), Y ) ] )
% 1.25/1.70 , clause( 3617, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 1.25/1.70 'c_0' ) ] )
% 1.25/1.70 , clause( 3618, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3619, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 1.25/1.70 , clause( 3620, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3621, [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ] )
% 1.25/1.70 , clause( 3622, [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.25/1.70 , clause( 3623, [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 1.25/1.70 'tc_nat' ), 'c_Suc'( 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.70 , clause( 3624, [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3625, [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3626, [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 1.25/1.70 'tc_nat' ), 'c_Suc'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.70 , clause( 3627, [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3628, [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X,
% 1.25/1.70 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3629, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z,
% 1.25/1.70 'tc_nat' ) ) ), =( Y, Z ), =( X, 'c_0' ) ] )
% 1.25/1.70 , clause( 3630, [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y,
% 1.25/1.70 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3631, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y,
% 1.25/1.70 'tc_nat' ) ) ), =( X, Z ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3632, [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0',
% 1.25/1.70 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3633, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ),
% 1.25/1.70 =( X, 'c_1' ) ] )
% 1.25/1.70 , clause( 3634, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ),
% 1.25/1.70 =( Y, 'c_1' ) ] )
% 1.25/1.70 , clause( 3635, [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' )
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3636, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 1.25/1.70 ), =( X, 'c_0' ) ] )
% 1.25/1.70 , clause( 3637, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ),
% 1.25/1.70 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3638, [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'(
% 1.25/1.70 X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3639, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.70 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3640, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_times'( Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ),
% 1.25/1.70 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3641, [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'(
% 1.25/1.70 Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3642, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.70 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3643, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z
% 1.25/1.70 , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3644, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z
% 1.25/1.70 , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3645, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z,
% 1.25/1.70 'tc_nat' ) ), 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3646, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y
% 1.25/1.70 , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3647, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y
% 1.25/1.70 , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3648, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z,
% 1.25/1.70 'tc_nat' ) ), 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3649, [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.25/1.70 ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3650, [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.25/1.70 ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3651, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3652, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.25/1.70 'tc_nat' ) ) ), =( Y, Z ) ] )
% 1.25/1.70 , clause( 3653, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'(
% 1.25/1.70 X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3654, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.70 'c_plus'( Z, X, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3655, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3656, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X
% 1.25/1.70 , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3657, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y,
% 1.25/1.70 'tc_nat' ) ) ), =( X, Z ) ] )
% 1.25/1.70 , clause( 3658, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3659, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3660, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 1.25/1.70 , clause( 3661, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3662, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3663, [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ),
% 1.25/1.70 =( X, 'c_1' ) ] )
% 1.25/1.70 , clause( 3664, [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ),
% 1.25/1.70 =( Y, 'c_1' ) ] )
% 1.25/1.70 , clause( 3665, [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' )
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3666, [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3667, [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3668, [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' )
% 1.25/1.70 , 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3669, [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3670, [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y,
% 1.25/1.70 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3671, [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ] )
% 1.25/1.70 , clause( 3672, [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.25/1.70 'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.70 , clause( 3673, [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.25/1.70 , clause( 3674, [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.25/1.70 ) ), 'c_less'( Y, X, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3675, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3676, [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_OMin' ) ] )
% 1.25/1.70 , clause( 3677, [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB0' ), 'c_Numeral_OPls' ) ] )
% 1.25/1.70 , clause( 3678, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.25/1.70 , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.70 Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ] )
% 1.25/1.70 , clause( 3679, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.25/1.70 ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.70 Y, Z ), X ), T, X ) ) ] )
% 1.25/1.70 , clause( 3680, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB0' ), 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_Obin__add'( X, Y ), Z ) ) ] )
% 1.25/1.70 , clause( 3681, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ),
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3682, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ),
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) )
% 1.25/1.70 , 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.70 , clause( 3683, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ),
% 1.25/1.70 'c_Numeral_Obin__pred'( X ) ) ] )
% 1.25/1.70 , clause( 3684, [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ),
% 1.25/1.70 'c_Numeral_Obin__pred'( X ) ) ] )
% 1.25/1.70 , clause( 3685, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ] )
% 1.25/1.70 , clause( 3686, [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ] )
% 1.25/1.70 , clause( 3687, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ] )
% 1.25/1.70 , clause( 3688, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_Obin__minus'( Y ), X ) ) ] )
% 1.25/1.70 , clause( 3689, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.25/1.70 'c_1', X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ] )
% 1.25/1.70 , clause( 3690, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ] )
% 1.25/1.70 , clause( 3691, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.70 'c_Numeral_Obin__minus'( Z ) ), X ) ) ] )
% 1.25/1.70 , clause( 3692, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 Y, X ), X ) ) ] )
% 1.25/1.70 , clause( 3693, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3694, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X )
% 1.25/1.70 , 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.70 , clause( 3695, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'(
% 1.25/1.70 'c_Numeral_Obin__minus'( X ) ), 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.70 , clause( 3696, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ),
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.70 , clause( 3697, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ),
% 1.25/1.70 'c_Numeral_OPls' ) ] )
% 1.25/1.70 , clause( 3698, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB0' ), Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.25/1.70 , Y ), 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.70 , clause( 3699, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB1' ), Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_Obin__mult'( X, Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ] )
% 1.25/1.70 , clause( 3700, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ),
% 1.25/1.70 'c_Numeral_Obin__minus'( X ) ) ] )
% 1.25/1.70 , clause( 3701, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ),
% 1.25/1.70 'c_Numeral_OPls' ) ] )
% 1.25/1.70 , clause( 3702, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ),
% 1.25/1.70 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.70 , clause( 3703, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3704, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ),
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.70 , clause( 3705, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ),
% 1.25/1.70 'c_Numeral_OMin' ) ] )
% 1.25/1.70 , clause( 3706, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.70 ) ), ~( 'c_IntDef_Oiszero'( 'c_1', X ) ) ] )
% 1.25/1.70 , clause( 3707, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ] )
% 1.25/1.70 , clause( 3708, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ),
% 1.25/1.70 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3709, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ] )
% 1.25/1.70 , clause( 3710, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.70 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3711, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.70 'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3712, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ),
% 1.25/1.70 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.70 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ] )
% 1.25/1.70 , clause( 3713, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.70 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.25/1.70 , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ] )
% 1.25/1.70 , clause( 3714, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.70 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3715, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3716, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.25/1.70 , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3717, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 3718, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.25/1.70 , X ) ) ] )
% 1.25/1.70 , clause( 3719, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.25/1.70 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.70 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ] )
% 1.25/1.70 , clause( 3720, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.70 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3721, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ] )
% 1.25/1.70 , clause( 3722, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.70 'c_IntDef_Oneg'( 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 3723, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.70 'c_IntDef_Oneg'( 'c_1', X ) ) ] )
% 1.25/1.70 , clause( 3724, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3725, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X,
% 1.25/1.70 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ),
% 1.25/1.70 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.70 , clause( 3726, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ),
% 1.25/1.70 'c_Numeral_OPls' ) ] )
% 1.25/1.70 , clause( 3727, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ),
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.70 , clause( 3728, [ =( 'c_Numeral_Obit_Obit__case'( X, Y,
% 1.25/1.70 'c_Numeral_Obit_OB0', Z ), X ) ] )
% 1.25/1.70 , clause( 3729, [ =( 'c_Numeral_Obit_Obit__case'( X, Y,
% 1.25/1.70 'c_Numeral_Obit_OB1', Z ), Y ) ] )
% 1.25/1.70 , clause( 3730, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.70 , clause( 3731, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.70 , clause( 3732, [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0'
% 1.25/1.70 , Z ), X ) ] )
% 1.25/1.70 , clause( 3733, [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1'
% 1.25/1.70 , Z ), Y ) ] )
% 1.25/1.70 , clause( 3734, [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit'
% 1.25/1.70 ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3735, [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit'
% 1.25/1.70 ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3736, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ] )
% 1.25/1.70 , clause( 3737, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 3738, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y
% 1.25/1.70 , 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X )
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3739, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.25/1.70 ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ] )
% 1.25/1.70 , clause( 3740, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3741, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =(
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3742, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_plus'( 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3743, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , ~( =( 'c_0', 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3744, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , =( 'c_0', 'c_HOL_Oabs'( 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 3745, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , =( 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ),
% 1.25/1.70 X ), X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3746, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , ~( =( 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3747, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , =( 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3748, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3749, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , =( 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ] )
% 1.25/1.70 , clause( 3750, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3751, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3752, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , =( 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ] )
% 1.25/1.70 , clause( 3753, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , ~( 'c_less'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 3754, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 1.25/1.70 , clause( 3755, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'(
% 1.25/1.70 Y, X ) ) ] )
% 1.25/1.70 , clause( 3756, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.70 'c_plus'( Y, 'c_0', X ), Y ) ] )
% 1.25/1.70 , clause( 3757, [ ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ),
% 1.25/1.70 'c_lessequals'( Z, T, X ) ] )
% 1.25/1.70 , clause( 3758, [ ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ),
% 1.25/1.70 'c_plus'( T, Z, X ), X ) ] )
% 1.25/1.70 , clause( 3759, [ ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ),
% 1.25/1.70 'c_lessequals'( Y, T, X ) ] )
% 1.25/1.70 , clause( 3760, [ ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 1.25/1.70 'c_plus'( Z, T, X ), X ) ] )
% 1.25/1.70 , clause( 3761, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.25/1.70 ~( =( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ] )
% 1.25/1.70 , clause( 3762, [ ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'( Z, T
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 3763, [ ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.70 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z, X )
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 3764, [ ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'( Y, T
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 3765, [ ~(
% 1.25/1.70 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.70 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T, X )
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 3766, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.25/1.70 ~( =( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ] )
% 1.25/1.70 , clause( 3767, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.70 'c_plus'( 'c_0', Y, X ), Y ) ] )
% 1.25/1.70 , clause( 3768, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_minus'( 'c_0', Y, X ), 'c_uminus'( Y, X ) ) ] )
% 1.25/1.70 , clause( 3769, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_minus'( Y, 'c_0', X ), Y ) ] )
% 1.25/1.70 , clause( 3770, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.70 'c_minus'( Y, Z, X ), 'c_0' ) ), =( Y, Z ) ] )
% 1.25/1.70 , clause( 3771, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ] )
% 1.25/1.70 , clause( 3772, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ),
% 1.25/1.70 'c_0', X ) ] )
% 1.25/1.70 , clause( 3773, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3774, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3775, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_minus'( Y, 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ] )
% 1.25/1.70 , clause( 3776, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_minus'( Y, Y, X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3777, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y,
% 1.25/1.70 'c_0', X ) ] )
% 1.25/1.70 , clause( 3778, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ),
% 1.25/1.70 'c_0', X ) ] )
% 1.25/1.70 , clause( 3779, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X )
% 1.25/1.70 , 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.25/1.70 , clause( 3780, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ),
% 1.25/1.70 'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3781, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 =( 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3782, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.70 'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3783, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 =( 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3784, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.70 'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3785, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_uminus'( 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ),
% 1.25/1.70 'c_uminus'( Z, X ), X ) ) ] )
% 1.25/1.70 , clause( 3786, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_uminus'( 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ] )
% 1.25/1.70 , clause( 3787, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_uminus'( 'c_uminus'( Y, X ), X ), Y ) ] )
% 1.25/1.70 , clause( 3788, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.25/1.70 'c_times'( 'c_1', Y, X ), Y ) ] )
% 1.25/1.70 , clause( 3789, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.25/1.70 'c_times'( Y, 'c_1', X ), Y ) ] )
% 1.25/1.70 , clause( 3790, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.70 'c_0', 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 1.25/1.70 , clause( 3791, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0'
% 1.25/1.70 , 'c_uminus'( 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 3792, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y
% 1.25/1.70 , 'c_0', X ) ] )
% 1.25/1.70 , clause( 3793, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'(
% 1.25/1.70 Y, X ), X ) ] )
% 1.25/1.70 , clause( 3794, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3795, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3796, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3797, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_uminus'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3798, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ] )
% 1.25/1.70 , clause( 3799, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.70 'c_uminus'( 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ) ] )
% 1.25/1.70 , clause( 3800, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'(
% 1.25/1.70 'c_0', Y, X ) ] )
% 1.25/1.70 , clause( 3801, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X )
% 1.25/1.70 , 'c_0', X ) ] )
% 1.25/1.70 , clause( 3802, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.25/1.70 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.70 , clause( 3803, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ),
% 1.25/1.70 'c_uminus'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3804, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3805, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3806, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_less'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z
% 1.25/1.70 , Y, X ) ] )
% 1.25/1.70 , clause( 3807, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.70 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y,
% 1.25/1.70 X ), X ) ] )
% 1.25/1.70 , clause( 3808, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.70 'c_uminus'( 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ) ] )
% 1.25/1.70 , clause( 3809, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.70 'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3810, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3811, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3812, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.70 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3813, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X
% 1.25/1.70 ), 'c_OrderedGroup_Onprt'( Z, X ), X ) ] )
% 1.25/1.70 , clause( 3814, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.70 'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3815, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3816, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3817, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X
% 1.25/1.70 ), 'c_OrderedGroup_Opprt'( Z, X ), X ) ] )
% 1.25/1.70 , clause( 3818, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.70 'c_plus'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3819, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0'
% 1.25/1.70 , Y, X ) ] )
% 1.25/1.70 , clause( 3820, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 3821, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.70 'c_lessequals'( 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 3822, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , ~( 'c_less'( 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ] )
% 1.25/1.70 , clause( 3823, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.70 , 'c_less'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3824, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ] )
% 1.25/1.70 , clause( 3825, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ] )
% 1.25/1.70 , clause( 3826, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.70 , X ) ), ~( 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X
% 1.25/1.70 ), Z, X ) ] )
% 1.25/1.70 , clause( 3827, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 3828, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.25/1.70 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ] )
% 1.25/1.70 , clause( 3829, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.70 , X ) ), ~( 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z
% 1.25/1.70 , X ), X ) ] )
% 1.25/1.70 , clause( 3830, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 3831, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ] )
% 1.25/1.70 , clause( 3832, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y,
% 1.25/1.70 'c_Orderings_Omin'( T, Z, X ), X ) ] )
% 1.25/1.70 , clause( 3833, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.70 'c_Orderings_Omin'( Y, Y, X ), Y ) ] )
% 1.25/1.70 , clause( 3834, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.70 'c_Orderings_Omin'( Y, 'c_Orderings_Omin'( Y, Z, X ), X ),
% 1.25/1.70 'c_Orderings_Omin'( Y, Z, X ) ) ] )
% 1.25/1.70 , clause( 3835, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ] )
% 1.25/1.70 , clause( 3836, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ] )
% 1.25/1.70 , clause( 3837, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'(
% 1.25/1.70 'c_Orderings_Omax'( T, Y, X ), Z, X ) ] )
% 1.25/1.70 , clause( 3838, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.70 'c_Orderings_Omax'( Y, Y, X ), Y ) ] )
% 1.25/1.70 , clause( 3839, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.70 'c_Orderings_Omax'( Y, 'c_Orderings_Omax'( Y, Z, X ), X ),
% 1.25/1.70 'c_Orderings_Omax'( Y, Z, X ) ) ] )
% 1.25/1.70 , clause( 3840, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 3841, [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.25/1.70 ), 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3842, [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'tc_IntDef_Oint' ) ),
% 1.25/1.70 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3843, [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.25/1.70 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3844, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.70 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.25/1.70 , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3845, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.70 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.70 ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3846, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.70 'c_Parity_Oeven'( 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.70 ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3847, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.70 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y
% 1.25/1.70 , X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3848, [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'(
% 1.25/1.70 Y, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3849, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3850, [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'(
% 1.25/1.70 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3851, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ),
% 1.25/1.70 'tc_nat' ) ), 'c_Parity_Oeven'( X, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3852, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ),
% 1.25/1.70 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3853, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.25/1.70 , Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ),
% 1.25/1.70 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3854, [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ),
% 1.25/1.70 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X,
% 1.25/1.70 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3855, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'(
% 1.25/1.70 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3856, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'(
% 1.25/1.70 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3857, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3858, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3859, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3860, [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y,
% 1.25/1.70 'tc_nat' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3861, [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3862, [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3863, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ),
% 1.25/1.70 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3864, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X,
% 1.25/1.70 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3865, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3866, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.70 'c_0', Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y,
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3867, [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' )
% 1.25/1.70 , 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3868, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ),
% 1.25/1.70 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3869, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ),
% 1.25/1.70 'c_Parity_Oeven'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3870, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.70 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.70 ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3871, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.70 'c_Parity_Oeven'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.70 ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3872, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.70 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y
% 1.25/1.70 , X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3873, [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'(
% 1.25/1.70 Y, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.25/1.70 ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3874, [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ] )
% 1.25/1.70 , clause( 3875, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.25/1.70 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3876, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.25/1.70 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'(
% 1.25/1.70 'c_1', X ) ) ] )
% 1.25/1.70 , clause( 3877, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Power_Orecpower'( X ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =(
% 1.25/1.70 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.25/1.70 'c_1' ) ] )
% 1.25/1.70 , clause( 3878, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.70 'class_Power_Orecpower'( X ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =(
% 1.25/1.70 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ] )
% 1.25/1.70 , clause( 3879, [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_0' ), =( 'c_Divides_Oop_Amod'( X,
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3880, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.70 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.70 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X,
% 1.25/1.70 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.70 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ] )
% 1.25/1.70 , clause( 3881, [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.70 , clause( 3882, [ ~( 'class_Power_Orecpower'( X ) ), ~( =(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3883, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3884, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3885, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3886, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3887, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.25/1.70 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ] )
% 1.25/1.70 , clause( 3888, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.70 ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ] )
% 1.25/1.70 , clause( 3889, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.70 ) ), =( Z, 'c_0' ) ] )
% 1.25/1.70 , clause( 3890, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.70 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.25/1.70 ), 'c_lessequals'( Y, 'c_0', X ) ] )
% 1.25/1.70 , clause( 3891, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.70 ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3892, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.70 'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.25/1.70 'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.25/1.70 , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.25/1.70 , 'c_0' ) ] )
% 1.25/1.70 , clause( 3893, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.70 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.25/1.70 , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3894, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'(
% 1.25/1.70 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 3895, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.70 ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.25/1.70 , clause( 3896, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.70 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.25/1.70 ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.25/1.70 X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3897, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.25/1.70 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ),
% 1.25/1.70 'c_Nat_Opower'( Z, Y, X ) ) ] )
% 1.25/1.70 , clause( 3898, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.25/1.70 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'(
% 1.25/1.70 'c_Nat_Opower'( Z, Y, X ), X ) ) ] )
% 1.25/1.70 , clause( 3899, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.25/1.70 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'c_lessequals'( 'c_0', Y, X ) ] )
% 1.25/1.70 , clause( 3900, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.70 'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3901, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.70 , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.25/1.70 'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y,
% 1.25/1.70 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ] )
% 1.25/1.70 , clause( 3902, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.25/1.70 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 3903, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.25/1.70 , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.25/1.70 ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3904, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.25/1.70 , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.25/1.70 , 'c_0' ) ] )
% 1.25/1.70 , clause( 3905, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ] )
% 1.25/1.70 , clause( 3906, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.25/1.70 , 'c_0' ) ] )
% 1.25/1.70 , clause( 3907, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.70 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.25/1.70 ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.25/1.70 'tc_nat' ), X ), X ) ] )
% 1.25/1.70 , clause( 3908, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X,
% 1.25/1.70 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ),
% 1.25/1.70 'c_less'( 'c_0', X, 'tc_nat' ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.25/1.70 , 'c_0' ) ] )
% 1.25/1.70 , clause( 3909, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.70 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.25/1.70 ), 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3910, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3911, [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.70 'c_Suc'( 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3912, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' )
% 1.25/1.70 , 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 1.25/1.70 , clause( 3913, [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ),
% 1.25/1.70 'tc_nat' ), =( X, 'c_0' ) ] )
% 1.25/1.70 , clause( 3914, [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ),
% 1.25/1.70 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3915, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3916, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'(
% 1.25/1.70 X, 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 3917, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_0', 'c_Suc'( Y ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3918, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.25/1.70 Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3919, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.25/1.70 Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3920, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y,
% 1.25/1.70 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3921, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.25/1.70 , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3922, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.70 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ] )
% 1.25/1.70 , clause( 3923, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.25/1.70 , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ),
% 1.25/1.70 =( Z, T ) ] )
% 1.25/1.70 , clause( 3924, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.70 'c_1', Y, X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3925, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y,
% 1.25/1.70 'c_1', X ), Y ) ] )
% 1.25/1.70 , clause( 3926, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.25/1.70 , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.25/1.70 ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ] )
% 1.25/1.70 , clause( 3927, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z,
% 1.25/1.70 'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T,
% 1.25/1.70 Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ] )
% 1.25/1.70 , clause( 3928, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y,
% 1.25/1.70 'c_0', X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3929, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0',
% 1.25/1.70 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ] )
% 1.25/1.70 , clause( 3930, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3931, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3932, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.70 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.25/1.70 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ] )
% 1.25/1.70 , clause( 3933, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 1.25/1.70 , =( X, U ) ] )
% 1.25/1.70 , clause( 3934, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 1.25/1.70 , =( Y, W ) ] )
% 1.25/1.70 , clause( 3935, [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ] )
% 1.25/1.70 , clause( 3936, [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 3937, [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ] )
% 1.25/1.70 , clause( 3938, [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ),
% 1.25/1.70 'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ] )
% 1.25/1.70 , clause( 3939, [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ),
% 1.25/1.70 'c_UNIV' ) ] )
% 1.25/1.70 , clause( 3940, [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 3941, [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ),
% 1.25/1.70 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 3942, [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 3943, [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3944, [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y
% 1.25/1.70 , Y ), 'c_inter'( X, Z, Y ) ) ] )
% 1.25/1.70 , clause( 3945, [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ),
% 1.25/1.70 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 3946, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z,
% 1.25/1.70 'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y,
% 1.25/1.70 'tc_prod'( T, U ) ) ] )
% 1.25/1.70 , clause( 3947, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.70 ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ),
% 1.25/1.70 Z, T ), T ) ] )
% 1.25/1.70 , clause( 3948, [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 3949, [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ),
% 1.25/1.70 'c_UNIV' ) ] )
% 1.25/1.70 , clause( 3950, [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 3951, [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ),
% 1.25/1.70 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 3952, [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ),
% 1.25/1.70 'c_Relation_OId' ) ] )
% 1.25/1.70 , clause( 3953, [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y,
% 1.25/1.70 Z ), Z, Y ), X ) ] )
% 1.25/1.70 , clause( 3954, [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y
% 1.25/1.70 , Y ), 'c_Relation_Odiag'( X, Y ) ) ] )
% 1.25/1.70 , clause( 3955, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'(
% 1.25/1.70 U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 1.25/1.70 'tc_prod'( T, Z ) ) ] )
% 1.25/1.70 , clause( 3956, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.70 ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ),
% 1.25/1.70 'tc_prod'( T, Z ) ) ] )
% 1.25/1.70 , clause( 3957, [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 3958, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 1.25/1.70 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 1.25/1.70 , clause( 3959, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId',
% 1.25/1.70 'tc_prod'( Y, Y ) ) ] )
% 1.25/1.70 , clause( 3960, [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y )
% 1.25/1.70 ) ), X ) ] )
% 1.25/1.70 , clause( 3961, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y )
% 1.25/1.70 ) ), 'c_Relation_OId' ) ] )
% 1.25/1.70 , clause( 3962, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'(
% 1.25/1.70 Z, Z ) ) ), 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'(
% 1.25/1.70 'tc_prod'( Z, Z ) ) ), Z, Z, Z ) ) ] )
% 1.25/1.70 , clause( 3963, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.70 'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ),
% 1.25/1.70 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 1.25/1.70 , clause( 3964, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.70 'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 3965, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.70 'c_HOL_Oabs'( 'c_1', X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3966, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.25/1.70 ~( =( 'c_0', 'c_1' ) ) ] )
% 1.25/1.70 , clause( 3967, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.25/1.70 Y, 'c_1', X ), Y ) ] )
% 1.25/1.70 , clause( 3968, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.25/1.70 'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3969, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.25/1.70 'c_divide'( 'c_0', Z, X ) ) ] )
% 1.25/1.70 , clause( 3970, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.25/1.70 'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ] )
% 1.25/1.70 , clause( 3971, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.25/1.70 'c_divide'( Z, 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 3972, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y,
% 1.25/1.70 Z, X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ] )
% 1.25/1.70 , clause( 3973, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'(
% 1.25/1.70 Z, T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ] )
% 1.25/1.70 , clause( 3974, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.25/1.70 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 3975, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.25/1.70 'c_0' ) ] )
% 1.25/1.70 , clause( 3976, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.25/1.70 'c_0' ) ] )
% 1.25/1.70 , clause( 3977, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.25/1.70 'c_1' ) ), =( Y, Z ) ] )
% 1.25/1.70 , clause( 3978, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.25/1.70 'c_0', X ), 'c_1' ) ) ] )
% 1.25/1.70 , clause( 3979, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.25/1.70 Z, X ), 'c_1' ) ), =( Z, Y ) ] )
% 1.25/1.70 , clause( 3980, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.25/1.70 'c_divide'( Y, Y, X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 3981, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3982, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.70 , 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 3983, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.25/1.70 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 3984, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y
% 1.25/1.70 , X ), 'c_1', X ) ] )
% 1.25/1.70 , clause( 3985, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.25/1.70 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.70 , clause( 3986, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y
% 1.25/1.70 , X ), 'c_1', X ) ] )
% 1.25/1.70 , clause( 3987, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.25/1.70 , clause( 3988, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.70 , X ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 3989, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.70 , X ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 3990, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.70 ) ), ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ),
% 1.25/1.70 'c_1', X ) ] )
% 1.25/1.70 , clause( 3991, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.70 , X ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 3992, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.70 ) ), ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ),
% 1.25/1.70 'c_1', X ) ] )
% 1.25/1.70 , clause( 3993, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.25/1.70 'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ] )
% 1.25/1.70 , clause( 3994, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'(
% 1.25/1.70 Z, X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ] )
% 1.25/1.70 , clause( 3995, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X
% 1.25/1.70 ), 'c_0' ) ] )
% 1.25/1.70 , clause( 3996, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1',
% 1.25/1.70 'c_divide'( Y, 'c_0', X ) ) ) ] )
% 1.25/1.70 , clause( 3997, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1',
% 1.25/1.70 'c_divide'( Y, Z, X ) ) ), =( Z, Y ) ] )
% 1.25/1.70 , clause( 3998, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.25/1.70 'c_1', 'c_divide'( Y, Y, X ) ) ] )
% 1.25/1.70 , clause( 3999, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' )
% 1.25/1.70 , =( 'c_times'( 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 4000, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.25/1.70 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 4001, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_0', Y, X ), 'c_times'( 'c_0', Z, X ) ) ] )
% 1.25/1.70 , clause( 4002, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.25/1.70 'c_times'( Y, Z, X ), 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 4003, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 1.25/1.70 Y, 'c_0', X ), 'c_times'( Z, 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 4004, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.25/1.70 'c_divide'( Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ] )
% 1.25/1.70 , clause( 4005, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 1.25/1.70 , 'c_1' ) ), =( Y, 'c_1' ) ] )
% 1.25/1.70 , clause( 4006, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X
% 1.25/1.70 ), 'c_1' ) ] )
% 1.25/1.70 , clause( 4007, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 1.25/1.70 , 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 1.25/1.70 , clause( 4008, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.25/1.70 'c_HOL_Oinverse'( Y, X ), X ), Y ) ] )
% 1.25/1.70 , clause( 4009, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) )
% 1.25/1.70 , 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 4010, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ),
% 1.25/1.70 'c_HOL_Oinverse'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 4011, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.70 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) )
% 1.25/1.70 , 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 4012, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.70 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~(
% 1.25/1.70 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ),
% 1.25/1.70 'c_HOL_Oinverse'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 4013, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'(
% 1.25/1.70 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 4014, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.70 'c_less'( Y, Z, X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 Z, X ) ), 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4015, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.70 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'(
% 1.25/1.70 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 4016, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.70 'c_less'( Y, Z, X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z,
% 1.25/1.70 'c_0', X ) ), 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 4017, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.25/1.70 'c_uminus'( Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ] )
% 1.25/1.70 , clause( 4018, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'(
% 1.25/1.70 Y, Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z
% 1.25/1.70 , X ), X ) ) ] )
% 1.25/1.70 , clause( 4019, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.70 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.25/1.70 , clause( 4020, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.70 , X ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 4021, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 4022, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 4023, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 4024, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.70 , 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ] )
% 1.25/1.70 , clause( 4025, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 1.25/1.70 , 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 4026, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X
% 1.25/1.70 ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4027, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ] )
% 1.25/1.70 , clause( 4028, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.70 , X ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 4029, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.25/1.70 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.70 , clause( 4030, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1',
% 1.25/1.70 'c_divide'( Z, Y, X ), X ) ] )
% 1.25/1.70 , clause( 4031, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.25/1.70 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 4032, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1',
% 1.25/1.70 'c_divide'( Z, Y, X ), X ) ] )
% 1.25/1.70 , clause( 4033, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.70 , X ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 4034, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.70 ) ), ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 4035, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.70 , X ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 4036, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.70 ) ), ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X
% 1.25/1.70 ), X ) ] )
% 1.25/1.70 , clause( 4037, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y,
% 1.25/1.70 X ), 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ] )
% 1.25/1.70 , clause( 4038, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ] )
% 1.25/1.70 , clause( 4039, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.70 Y, 'c_times'( Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 1.25/1.70 , clause( 4040, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.70 'c_0', 'c_times'( 'c_0', Y, X ) ) ] )
% 1.25/1.70 , clause( 4041, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.25/1.70 'c_times'( Y, 'c_1', X ) ) ] )
% 1.25/1.70 , clause( 4042, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.70 'c_times'( Y, Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 1.25/1.70 , clause( 4043, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.70 Y, 'c_times'( Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 1.25/1.70 , clause( 4044, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.70 'c_0', 'c_times'( Y, 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 4045, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.25/1.70 'c_times'( 'c_1', Y, X ) ) ] )
% 1.25/1.70 , clause( 4046, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.70 'c_times'( Y, Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ] )
% 1.25/1.70 , clause( 4047, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0',
% 1.25/1.70 'c_times'( 'c_0', Y, X ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4048, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.70 Y, 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ] )
% 1.25/1.70 , clause( 4049, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'(
% 1.25/1.70 'c_0', Y, X ), 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4050, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.70 'c_times'( Y, Z, X ), Y, X ), Z ) ] )
% 1.25/1.70 , clause( 4051, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'(
% 1.25/1.70 'c_0', Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4052, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.70 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 4053, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0',
% 1.25/1.70 'c_times'( Y, 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4054, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.70 Y, 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ] )
% 1.25/1.70 , clause( 4055, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.25/1.70 'c_0', X ), 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4056, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.70 'c_times'( Z, Y, X ), Y, X ), Z ) ] )
% 1.25/1.70 , clause( 4057, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.25/1.70 'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4058, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.70 'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 4059, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.70 , ~( =( 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 4060, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ] )
% 1.25/1.70 , clause( 4061, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y
% 1.25/1.70 , 'c_uminus'( Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ] )
% 1.25/1.70 , clause( 4062, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.70 =( 'c_times'( 'c_0', Y, X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4063, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.70 =( 'c_times'( Y, 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4064, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_lessequals'( 'c_1', 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 4065, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.70 'c_less'( 'c_1', 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 4066, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'(
% 1.25/1.70 'c_1', Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 4067, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1'
% 1.25/1.70 , 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4068, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z
% 1.25/1.70 , X ) ) ), =( Y, Z ) ] )
% 1.25/1.70 , clause( 4069, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.25/1.70 ~( =( 'c_1', 'c_0' ) ) ] )
% 1.25/1.70 , clause( 4070, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.70 'c_less'( 'c_0', 'c_1', X ) ] )
% 1.25/1.70 , clause( 4071, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' )
% 1.25/1.70 , =( 'c_times'( Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ] )
% 1.25/1.70 , clause( 4072, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 1.25/1.70 Y, 'c_divide'( Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 4073, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 1.25/1.70 'c_divide'( Y, Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 4074, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y,
% 1.25/1.70 'c_0', X ), 'c_0', X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4075, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.25/1.70 'c_divide'( Z, Y, X ), Y, X ), Z ) ] )
% 1.25/1.70 , clause( 4076, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0',
% 1.25/1.70 'c_divide'( Y, 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.70 , clause( 4077, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y
% 1.25/1.70 , 'c_divide'( Z, Y, X ), X ), Z ) ] )
% 1.25/1.70 , clause( 4078, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0',
% 1.25/1.70 'c_divide'( 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ] )
% 1.25/1.70 , clause( 4079, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'(
% 1.25/1.70 'c_1', 'c_0', X ) ) ] )
% 1.25/1.70 , clause( 4080, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 4081, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 4082, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.70 'c_lessequals'( 'c_0', 'c_1', X ) ] )
% 1.25/1.70 , clause( 4083, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.70 'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ] )
% 1.25/1.70 , clause( 4084, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.70 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.70 , X ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ] )
% 1.25/1.70 , clause( 4085, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.25/1.70 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ),
% 1.25/1.70 'c_SetInterval_OlessThan'( Y, X ) ) ] )
% 1.25/1.70 , clause( 4086, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.25/1.70 'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ),
% 1.25/1.70 'c_SetInterval_OgreaterThan'( Y, X ) ) ] )
% 1.25/1.70 , clause( 4087, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.25/1.70 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ),
% 1.25/1.70 'c_SetInterval_OatMost'( Y, X ) ) ] )
% 1.25/1.70 , clause( 4088, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.25/1.70 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.25/1.70 'c_SetInterval_OatLeast'( Y, X ) ) ] )
% 1.25/1.70 , clause( 4089, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.70 ) ), =( 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4090, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4091, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4092, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 1.25/1.70 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OatLeastAtMost'( T, Z, X ), X ) ] )
% 1.25/1.70 , clause( 4093, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.25/1.70 'c_SetInterval_OatLeastAtMost'( Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 4094, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.70 , Z, X ) ), =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4095, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.25/1.70 , X ) ] )
% 1.25/1.70 , clause( 4096, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 4097, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.70 ), ~( 'c_lessequals'( T, Y, X ) ), 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( T, Z, X ), X ) ] )
% 1.25/1.70 , clause( 4098, [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ),
% 1.25/1.70 'tc_nat' ), 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 4099, [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4100, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.70 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ),
% 1.25/1.70 =( Y, Z ) ] )
% 1.25/1.70 , clause( 4101, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.70 , clause( 4102, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 1.25/1.70 , X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 4103, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 1.25/1.70 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.70 , clause( 4104, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.70 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 1.25/1.70 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 1.25/1.70 , clause( 4105, [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'(
% 1.25/1.70 'c_0', 'c_emptyset', 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 4106, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.70 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =(
% 1.25/1.70 Y, Z ) ] )
% 1.25/1.70 , clause( 4107, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 4108, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 1.25/1.70 , X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 1.25/1.70 , clause( 4109, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 1.25/1.70 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 4110, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.70 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ),
% 1.25/1.70 'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 1.25/1.70 , clause( 4111, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'(
% 1.25/1.70 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ]
% 1.25/1.70 )
% 1.25/1.70 , clause( 4112, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'(
% 1.25/1.70 X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'(
% 1.25/1.70 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.70 , clause( 4113, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat' ), 'c_minus'(
% 1.25/1.70 Y, X, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 4114, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 4115, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ] )
% 1.25/1.70 , clause( 4116, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.70 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'c_minus'( Y, X, 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 4117, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.70 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.25/1.70 ) ) ] )
% 1.25/1.70 , clause( 4118, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.70 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.70 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 1.25/1.70 , clause( 4119, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.70 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.25/1.70 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, 'c_plus'( X, 'c_1',
% 1.25/1.70 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.70 , clause( 4120, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X,
% 1.25/1.70 'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.25/1.70 , clause( 4121, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.70 , Z, X ) ), =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ),
% 1.25/1.70 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4122, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 4123, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y,
% 1.25/1.70 T, X ) ] )
% 1.25/1.70 , clause( 4124, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.70 ), ~( 'c_lessequals'( Z, T, X ) ), 'c_in'( Z,
% 1.25/1.70 'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ] )
% 1.25/1.70 , clause( 4125, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4126, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4127, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.70 ), ~( 'c_less'( T, Y, X ) ), 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OgreaterThanLessThan'( T, Z, X ), X ) ] )
% 1.25/1.70 , clause( 4128, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.70 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.25/1.70 ) ) ), =( Y, Z ) ] )
% 1.25/1.70 , clause( 4129, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 1.25/1.70 , clause( 4130, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.70 ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 1.25/1.70 , clause( 4131, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.25/1.70 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.70 , clause( 4132, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 1.25/1.70 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 1.25/1.70 , clause( 4133, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ),
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ),
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ] )
% 1.25/1.70 , clause( 4134, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.25/1.70 'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.70 , clause( 4135, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.25/1.70 'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.70 , clause( 4136, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X )
% 1.25/1.70 , 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ] )
% 1.25/1.70 , clause( 4137, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'(
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( U, Y, X ),
% 1.25/1.70 'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ] )
% 1.25/1.70 , clause( 4138, [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ),
% 1.25/1.70 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4139, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.70 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 1.25/1.70 , =( Y, Z ) ] )
% 1.25/1.70 , clause( 4140, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.70 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 4141, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.70 ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 1.25/1.70 , clause( 4142, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 1.25/1.70 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.70 , clause( 4143, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.70 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 1.25/1.70 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 1.25/1.70 , clause( 4144, [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'(
% 1.25/1.70 'c_insert'( Y, 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ),
% 1.25/1.70 'tc_set'( X ) ), 'c_insert'( Y, 'c_emptyset', X ) ) ] )
% 1.25/1.70 , clause( 4145, [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'(
% 1.25/1.70 Z ) ), 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ] )
% 1.25/1.70 , clause( 4146, [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ),
% 1.25/1.70 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) )
% 1.25/1.70 , Z ) ) ] )
% 1.25/1.70 , clause( 4147, [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 4148, [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ),
% 1.25/1.70 'c_inter'( 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) )
% 1.25/1.70 , Z ) ) ] )
% 1.25/1.70 , clause( 4149, [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ),
% 1.25/1.70 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4150, [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ),
% 1.25/1.70 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4151, [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' )
% 1.25/1.70 ] )
% 1.25/1.70 , clause( 4152, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 1.25/1.70 'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 1.25/1.70 , clause( 4153, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 1.25/1.70 'tc_set'( Z ) ), Z ) ) ] )
% 1.25/1.70 , clause( 4154, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 1.25/1.70 ) ), Z ) ] )
% 1.25/1.70 , clause( 4155, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ),
% 1.25/1.70 'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X,
% 1.25/1.70 'tc_set'( Y ) ) ] )
% 1.25/1.70 , clause( 4156, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 1.25/1.70 'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'(
% 1.25/1.70 Z ) ), 'tc_set'( Z ) ) ] )
% 1.25/1.70 , clause( 4157, [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'(
% 1.25/1.70 Z ) ), 'c_inter'( X, Y, Z ) ) ] )
% 1.25/1.70 , clause( 4158, [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4159, [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4160, [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ),
% 1.25/1.70 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4161, [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ] )
% 1.25/1.70 , clause( 4162, [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) )
% 1.25/1.70 , 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.25/1.70 , clause( 4163, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'(
% 1.25/1.70 X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4164, [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y,
% 1.25/1.70 'tc_set'( Z ) ), 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ] )
% 1.25/1.70 , clause( 4165, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ),
% 1.25/1.70 'c_in'( X, Y, T ) ] )
% 1.25/1.70 , clause( 4166, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y,
% 1.25/1.70 'tc_set'( Z ) ), Z ) ) ] )
% 1.25/1.70 , clause( 4167, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 1.25/1.70 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 1.25/1.70 , clause( 4168, [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z )
% 1.25/1.70 , 'tc_set'( Z ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ] )
% 1.25/1.70 , clause( 4169, [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4170, [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV'
% 1.25/1.70 ) ] )
% 1.25/1.70 , clause( 4171, [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.25/1.70 , clause( 4172, [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ] )
% 1.25/1.70 , clause( 4173, [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ] )
% 1.25/1.70 , clause( 4174, [ =( 'c_inter'( X, X, Y ), X ) ] )
% 1.25/1.70 , clause( 4175, [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4176, [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4177, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y,
% 1.25/1.70 T ) ] )
% 1.25/1.70 , clause( 4178, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 1.25/1.70 T ) ] )
% 1.25/1.70 , clause( 4179, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X
% 1.25/1.70 , 'c_inter'( T, Y, Z ), Z ) ] )
% 1.25/1.70 , clause( 4180, [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T )
% 1.25/1.70 ) ), 'c_lessequals'( X, Y, 'tc_set'( T ) ) ] )
% 1.25/1.70 , clause( 4181, [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T )
% 1.25/1.70 ) ), 'c_lessequals'( X, Z, 'tc_set'( T ) ) ] )
% 1.25/1.70 , clause( 4182, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.25/1.70 'c_lessequals'( X, T, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T
% 1.25/1.70 , Y, Z ), 'tc_set'( Z ) ) ] )
% 1.25/1.70 , clause( 4183, [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ] )
% 1.25/1.70 , clause( 4184, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z
% 1.25/1.70 ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ] )
% 1.25/1.70 , clause( 4185, [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X,
% 1.25/1.70 'tc_set'( Y ) ), =( 'c_Inter'( X, Y ), 'c_UNIV' ) ] )
% 1.25/1.70 , clause( 4186, [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV'
% 1.25/1.70 ) ), =( 'c_Inter'( X, Y ), 'c_UNIV' ) ] )
% 1.25/1.70 , clause( 4187, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV',
% 1.25/1.70 'c_Inter'( Y, Z ) ) ), =( X, 'c_UNIV' ) ] )
% 1.25/1.70 , clause( 4188, [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X,
% 1.25/1.70 'tc_set'( Y ) ), =( 'c_UNIV', 'c_Inter'( X, Y ) ) ] )
% 1.25/1.70 , clause( 4189, [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV'
% 1.25/1.70 ) ), =( 'c_UNIV', 'c_Inter'( X, Y ) ) ] )
% 1.25/1.70 , clause( 4190, [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ] )
% 1.25/1.70 , clause( 4191, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 1.25/1.70 'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 1.25/1.70 , clause( 4192, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'(
% 1.25/1.70 'c_Main_OInter__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.70 , clause( 4193, [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ),
% 1.25/1.70 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 1.25/1.70 , clause( 4194, [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ),
% 1.25/1.70 'c_inter'( X, 'c_Inter'( Y, Z ), Z ) ) ] )
% 1.25/1.70 , clause( 4195, [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'(
% 1.25/1.70 X, Z ), 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ] )
% 1.25/1.71 , clause( 4196, [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.25/1.71 , clause( 4197, [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset',
% 1.25/1.71 'c_emptyset', 'tc_set'( X ) ) ) ] )
% 1.25/1.71 , clause( 4198, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 1.25/1.71 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4199, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 1.25/1.71 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4200, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 1.25/1.71 , clause( 4201, [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ),
% 1.25/1.71 'c_union'( X, Y, Z ) ) ] )
% 1.25/1.71 , clause( 4202, [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ),
% 1.25/1.71 'c_union'( X, Y, Z ) ) ] )
% 1.25/1.71 , clause( 4203, [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ] )
% 1.25/1.71 , clause( 4204, [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ] )
% 1.25/1.71 , clause( 4205, [ =( 'c_union'( X, X, Y ), X ) ] )
% 1.25/1.71 , clause( 4206, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X,
% 1.25/1.71 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4207, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y,
% 1.25/1.71 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4208, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ),
% 1.25/1.71 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4209, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 1.25/1.71 , clause( 4210, [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ] )
% 1.25/1.71 , clause( 4211, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 1.25/1.71 T ), 'c_in'( X, Y, T ) ] )
% 1.25/1.71 , clause( 4212, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ),
% 1.25/1.71 Z ) ] )
% 1.25/1.71 , clause( 4213, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ),
% 1.25/1.71 Z ) ] )
% 1.25/1.71 , clause( 4214, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'(
% 1.25/1.71 X, 'c_union'( Y, T, Z ), Z ) ) ] )
% 1.25/1.71 , clause( 4215, [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'(
% 1.25/1.71 Y, 'c_union'( X, Z, T ), T ) ) ] )
% 1.25/1.71 , clause( 4216, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.25/1.71 ) ), 'c_lessequals'( X, T, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4217, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.25/1.71 ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4218, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.25/1.71 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.25/1.71 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4219, [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ] )
% 1.25/1.71 , clause( 4220, [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.25/1.71 , clause( 4221, [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ),
% 1.25/1.71 'c_union'( 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ] )
% 1.25/1.71 , clause( 4222, [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4223, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z
% 1.25/1.71 ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4224, [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X,
% 1.25/1.71 'tc_set'( Y ) ), =( 'c_Union'( X, Y ), 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4225, [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ),
% 1.25/1.71 'c_emptyset' ) ), =( 'c_Union'( X, Y ), 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4226, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.25/1.71 'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4227, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.25/1.71 'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ] )
% 1.25/1.71 , clause( 4228, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 1.25/1.71 ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 1.25/1.71 , clause( 4229, [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ),
% 1.25/1.71 'c_union'( X, 'c_Union'( Y, Z ), Z ) ) ] )
% 1.25/1.71 , clause( 4230, [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ),
% 1.25/1.71 =( X, 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4231, [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y
% 1.25/1.71 ), X ) ] )
% 1.25/1.71 , clause( 4232, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X
% 1.25/1.71 , T, Z ), Z ), 'c_emptyset' ) ) ] )
% 1.25/1.71 , clause( 4233, [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ),
% 1.25/1.71 'c_emptyset' ) ), =( 'c_inter'( X, Z, T ), 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4234, [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T,
% 1.25/1.71 X, Z ), =( 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4235, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y
% 1.25/1.71 , 'c_insert'( X, T, Z ), Z ) ) ) ] )
% 1.25/1.71 , clause( 4236, [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ),
% 1.25/1.71 T ) ) ), =( 'c_emptyset', 'c_inter'( X, Z, T ) ) ] )
% 1.25/1.71 , clause( 4237, [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T,
% 1.25/1.71 X, Z ), =( 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ] )
% 1.25/1.71 , clause( 4238, [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'(
% 1.25/1.71 Y ) ), X ) ] )
% 1.25/1.71 , clause( 4239, [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ),
% 1.25/1.71 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4240, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset',
% 1.25/1.71 'c_Union'( Y, Z ) ) ), =( X, 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4241, [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X,
% 1.25/1.71 'tc_set'( Y ) ), =( 'c_emptyset', 'c_Union'( X, Y ) ) ] )
% 1.25/1.71 , clause( 4242, [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ),
% 1.25/1.71 'c_emptyset' ) ), =( 'c_emptyset', 'c_Union'( X, Y ) ) ] )
% 1.25/1.71 , clause( 4243, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 1.25/1.71 , clause( 4244, [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ] )
% 1.25/1.71 , clause( 4245, [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z
% 1.25/1.71 ), Y, 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ] )
% 1.25/1.71 , clause( 4246, [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X,
% 1.25/1.71 'c_emptyset', Z ), 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ] )
% 1.25/1.71 , clause( 4247, [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'(
% 1.25/1.71 X, Y, Z ) ) ] )
% 1.25/1.71 , clause( 4248, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T
% 1.25/1.71 , Z ), Y, Z ), 'c_emptyset' ) ) ] )
% 1.25/1.71 , clause( 4249, [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ),
% 1.25/1.71 'c_emptyset' ) ), =( 'c_inter'( Y, T, Z ), 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4250, [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T,
% 1.25/1.71 Y, Z ), =( 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4251, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'(
% 1.25/1.71 'c_insert'( X, T, Z ), Y, Z ) ) ) ] )
% 1.25/1.71 , clause( 4252, [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T,
% 1.25/1.71 Z ) ) ), =( 'c_emptyset', 'c_inter'( Y, T, Z ) ) ] )
% 1.25/1.71 , clause( 4253, [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T,
% 1.25/1.71 Y, Z ), =( 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ] )
% 1.25/1.71 , clause( 4254, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 1.25/1.71 , T ), =( X, Y ) ] )
% 1.25/1.71 , clause( 4255, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 1.25/1.71 , clause( 4256, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 1.25/1.71 , Z ) ] )
% 1.25/1.71 , clause( 4257, [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z
% 1.25/1.71 ), Z ), 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ] )
% 1.25/1.71 , clause( 4258, [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ] )
% 1.25/1.71 , clause( 4259, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.25/1.71 ) ) ), 'c_in'( X, T, Z ) ] )
% 1.25/1.71 , clause( 4260, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.25/1.71 ) ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4261, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'(
% 1.25/1.71 Z ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4262, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 1.25/1.71 , clause( 4263, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 1.25/1.71 , Y ) ) ), =( Z, X ) ] )
% 1.25/1.71 , clause( 4264, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 1.25/1.71 , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'(
% 1.25/1.71 Y ) ) ] )
% 1.25/1.71 , clause( 4265, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 1.25/1.71 'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 1.25/1.71 , Z ) ) ] )
% 1.25/1.71 , clause( 4266, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 1.25/1.71 , Z ) ) ), =( X, T ) ] )
% 1.25/1.71 , clause( 4267, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 1.25/1.71 , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'(
% 1.25/1.71 Z ) ) ] )
% 1.25/1.71 , clause( 4268, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 1.25/1.71 'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 1.25/1.71 , Z ) ) ] )
% 1.25/1.71 , clause( 4269, [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ] )
% 1.25/1.71 , clause( 4270, [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ),
% 1.25/1.71 =( X, 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4271, [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X )
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4272, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 1.25/1.71 T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.71 , clause( 4273, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 1.25/1.71 T, Z, Y ) ) ) ] )
% 1.25/1.71 , clause( 4274, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 1.25/1.71 T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.71 , clause( 4275, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 1.25/1.71 T, Z, Y ) ) ) ] )
% 1.25/1.71 , clause( 4276, [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ),
% 1.25/1.71 'c_UNIV' ) ] )
% 1.25/1.71 , clause( 4277, [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'(
% 1.25/1.71 X, Y ), Y, Y ), 'c_UNIV' ) ] )
% 1.25/1.71 , clause( 4278, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'(
% 1.25/1.71 X, Y ), Y, Y ), 'c_UNIV' ) ] )
% 1.25/1.71 , clause( 4279, [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.25/1.71 'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.25/1.71 X, Y ) ) ] )
% 1.25/1.71 , clause( 4280, [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ),
% 1.25/1.71 'c_Relation_OId' ) ] )
% 1.25/1.71 , clause( 4281, [ =( 'c_Transitive__Closure_Ortrancl'(
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.25/1.71 , clause( 4282, [ =( 'c_Relation_Orel__comp'(
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.25/1.71 , clause( 4283, [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X,
% 1.25/1.71 'c_Relation_OId', 'tc_prod'( Y, Y ) ), Y ),
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.25/1.71 , clause( 4284, [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'(
% 1.25/1.71 X, Y ), Y, Y ), 'c_Relation_ODomain'( X, Y, Y ) ) ] )
% 1.25/1.71 , clause( 4285, [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ),
% 1.25/1.71 'c_emptyset' ) ] )
% 1.25/1.71 , clause( 4286, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'(
% 1.25/1.71 X, Y ), Y, Y ), 'c_Relation_ORange'( X, Y, Y ) ) ] )
% 1.25/1.71 , clause( 4287, [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X,
% 1.25/1.71 'c_Relation_OId', 'tc_prod'( Y, Y ) ), Y ),
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.25/1.71 , clause( 4288, [ ~( 'c_Wellfounded__Recursion_Oacyclic'(
% 1.25/1.71 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 1.25/1.71 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 1.25/1.71 , clause( 4289, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.25/1.71 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4290, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 1.25/1.71 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 1.25/1.71 'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 1.25/1.71 , clause( 4291, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 1.25/1.71 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'(
% 1.25/1.71 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 1.25/1.71 'tc_prod'( Z, Z ) ) ) ] )
% 1.25/1.71 , clause( 4292, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.25/1.71 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 1.25/1.71 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 1.25/1.71 , clause( 4293, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 1.25/1.71 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 1.25/1.71 'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 1.25/1.71 , clause( 4294, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 1.25/1.71 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 1.25/1.71 , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4295, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.25/1.71 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 1.25/1.71 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 1.25/1.71 , clause( 4296, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'(
% 1.25/1.71 'c_Pair'( Z, Z, Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ] )
% 1.25/1.71 , clause( 4297, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 1.25/1.71 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.25/1.71 ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4298, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y,
% 1.25/1.71 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'(
% 1.25/1.71 'tc_nat', 'tc_nat' ) ) ] )
% 1.25/1.71 , clause( 4299, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.25/1.71 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.71 , clause( 4300, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.25/1.71 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.71 , clause( 4301, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 1.25/1.71 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.71 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 1.25/1.71 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 1.25/1.71 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 1.25/1.71 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.71 , clause( 4302, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 1.25/1.71 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.71 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.25/1.71 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.71 , clause( 4303, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 1.25/1.71 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.71 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.25/1.71 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.71 , clause( 4304, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.25/1.71 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.71 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 1.25/1.71 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 1.25/1.71 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.71 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 1.25/1.71 , clause( 4305, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.25/1.71 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.71 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.25/1.71 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.25/1.71 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.71 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.25/1.71 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.25/1.71 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.71 , clause( 4306, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.25/1.71 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.71 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.25/1.71 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.71 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.25/1.71 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.25/1.71 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.71 , clause( 4307, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.25/1.71 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.71 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.25/1.71 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.71 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.25/1.71 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.25/1.71 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.71 , clause( 4308, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.25/1.71 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.71 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.25/1.71 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.71 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.25/1.71 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.71 , clause( 4309, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.71 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.25/1.71 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.25/1.71 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.71 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 1.25/1.71 , clause( 4310, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.71 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.25/1.71 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.25/1.71 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.71 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 1.25/1.71 , clause( 4311, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 1.25/1.71 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.25/1.71 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 1.25/1.71 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 1.25/1.71 , clause( 4312, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 1.25/1.71 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.71 'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 1.25/1.71 , clause( 4313, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 1.25/1.71 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.71 'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 1.25/1.71 , clause( 4314, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 1.25/1.71 Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.25/1.71 , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 1.25/1.71 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 1.25/1.71 , clause( 4315, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.25/1.71 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.25/1.71 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 1.25/1.71 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.25/1.71 ) ) ] )
% 1.25/1.71 , clause( 4316, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.25/1.71 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.71 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 1.25/1.71 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4317, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.25/1.71 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.71 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 1.25/1.71 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4318, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.25/1.71 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.71 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 1.25/1.71 , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 1.25/1.71 , clause( 4319, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 1.25/1.71 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 1.25/1.71 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 1.25/1.71 , clause( 4320, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 1.25/1.71 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 1.25/1.71 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 1.25/1.71 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 1.25/1.71 , clause( 4321, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4322, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4323, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ),
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4324, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ),
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4325, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.71 =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4326, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.71 X ) ) ] )
% 1.25/1.71 , clause( 4327, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.71 , 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4328, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.71 , 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4329, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.71 , 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4330, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.71 'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X,
% 1.25/1.71 'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites',
% 1.25/1.71 'tc_set'( Y ) ) ] )
% 1.25/1.71 , clause( 4331, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.71 'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ),
% 1.25/1.71 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ),
% 1.25/1.71 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 1.25/1.71 , clause( 4332, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 1.25/1.71 'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4333, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 1.25/1.71 'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4334, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z
% 1.25/1.71 , X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 1.25/1.71 , clause( 4335, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ),
% 1.25/1.71 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4336, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.25/1.71 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4337, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4338, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4339, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y,
% 1.25/1.71 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4340, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X,
% 1.25/1.71 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4341, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ),
% 1.25/1.71 'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ),
% 1.25/1.71 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.71 , clause( 4342, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 1.25/1.71 , clause( 4343, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites',
% 1.25/1.71 'tc_set'( Y ) ) ] )
% 1.25/1.71 , clause( 4344, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 1.25/1.71 ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4345, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 1.25/1.71 ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4346, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ),
% 1.25/1.71 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.71 , clause( 4347, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 1.25/1.71 , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4348, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.25/1.71 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 1.25/1.71 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 1.25/1.71 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 1.25/1.71 , clause( 4349, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.25/1.71 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.25/1.71 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 1.25/1.71 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.71 , clause( 4350, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.25/1.71 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.25/1.71 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 1.25/1.71 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.71 , clause( 4351, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.25/1.71 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 1.25/1.71 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 1.25/1.71 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 1.25/1.71 , clause( 4352, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.25/1.71 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.25/1.71 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 1.25/1.71 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 1.25/1.71 , clause( 4353, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.25/1.71 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.25/1.71 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 1.25/1.71 'tc_prod'( T, T ) ) ] )
% 1.25/1.71 , clause( 4354, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 1.25/1.71 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.25/1.71 'c_List_Olist_ONil' ) ] )
% 1.25/1.71 , clause( 4355, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 1.25/1.71 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 1.25/1.71 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.25/1.71 'c_List_Olist_ONil' ) ] )
% 1.25/1.71 , clause( 4356, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.71 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y,
% 1.25/1.71 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.71 , clause( 4357, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.71 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 1.25/1.71 , clause( 4358, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 1.25/1.71 , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 1.25/1.71 , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.71 , clause( 4359, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ),
% 1.25/1.71 'tc_List_Olist'( Y ) ) ] )
% 1.25/1.71 , clause( 4360, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.25/1.71 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 1.25/1.71 Y ) ) ] )
% 1.25/1.71 , clause( 4361, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.25/1.71 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.25/1.71 ) ) ] )
% 1.25/1.71 , clause( 4362, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4363, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4364, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 1.25/1.71 , clause( 4365, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4366, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 1.25/1.71 , X ) ] )
% 1.25/1.71 , clause( 4367, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ),
% 1.25/1.71 'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y,
% 1.25/1.71 'tc_prod'( Z, T ) ) ] )
% 1.25/1.71 , clause( 4368, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.71 ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 1.25/1.71 , clause( 4369, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ),
% 1.25/1.71 =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 1.25/1.71 ) ) ] )
% 1.25/1.71 , clause( 4370, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 1.25/1.71 'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 1.25/1.71 , clause( 4371, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 1.25/1.71 'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y,
% 1.25/1.71 'tc_prod'( T, U ) ) ] )
% 1.25/1.71 , clause( 4372, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U )
% 1.25/1.71 , W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U )
% 1.25/1.71 , U ) ] )
% 1.25/1.71 , clause( 4373, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ),
% 1.25/1.71 'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y,
% 1.25/1.71 'tc_prod'( Z, T ) ) ] )
% 1.25/1.71 , clause( 4374, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.71 ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 1.25/1.71 , clause( 4375, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 1.25/1.71 'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 1.25/1.71 , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4376, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 1.25/1.71 'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 1.25/1.71 ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 1.25/1.71 , clause( 4377, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z
% 1.25/1.71 ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'(
% 1.25/1.71 Y, X, Z ), Z, Z ) ) ] )
% 1.25/1.71 , clause( 4378, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z
% 1.25/1.71 ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 1.25/1.71 , clause( 4379, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 1.25/1.71 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.71 , clause( 4380, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 1.25/1.71 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 1.25/1.71 , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y,
% 1.25/1.71 'tc_prod'( T, U ) ) ] )
% 1.25/1.71 , clause( 4381, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 1.25/1.71 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 1.25/1.71 , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z,
% 1.25/1.71 'tc_prod'( W, T ) ) ] )
% 1.25/1.71 , clause( 4382, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 1.25/1.71 'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X,
% 1.25/1.71 T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 1.25/1.71 , clause( 4383, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.71 ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ),
% 1.25/1.71 'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 1.25/1.71 ), 'tc_prod'( V0, T ) ) ] )
% 1.25/1.71 , clause( 4384, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 1.25/1.71 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.71 , clause( 4385, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.25/1.71 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.25/1.71 ) ) ] )
% 1.25/1.71 , clause( 4386, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 1.25/1.71 ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.71 , clause( 4387, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.25/1.71 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.25/1.71 ) ) ] )
% 1.25/1.71 , clause( 4388, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.25/1.71 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.71 , clause( 4389, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.25/1.71 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.71 , clause( 4390, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.25/1.71 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.25/1.71 ) ) ] )
% 1.25/1.71 , clause( 4391, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.25/1.71 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.71 , clause( 4392, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.25/1.71 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.25/1.71 ) ) ] )
% 1.25/1.71 , clause( 4393, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.25/1.71 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.71 , clause( 4394, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'(
% 1.25/1.71 'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4395, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ),
% 1.25/1.71 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 1.25/1.71 , clause( 4396, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 1.25/1.71 , clause( 4397, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.25/1.71 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4398, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.25/1.71 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 1.25/1.71 , clause( 4399, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 1.25/1.71 , clause( 4400, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 1.25/1.71 Y, X, 'tc_set'( Z ) ) ) ] )
% 1.25/1.71 , clause( 4401, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X,
% 1.25/1.71 Y, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4402, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X,
% 1.25/1.71 Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 1.25/1.71 , clause( 4403, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ),
% 1.25/1.71 =( X, Y ) ] )
% 1.25/1.71 , clause( 4404, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 1.25/1.71 , clause( 4405, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z,
% 1.25/1.71 'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 1.25/1.71 , clause( 4406, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 1.25/1.71 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 1.25/1.71 , clause( 4407, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 1.25/1.71 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4408, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.25/1.71 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.25/1.71 , clause( 4409, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.25/1.71 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.25/1.71 , clause( 4410, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.25/1.71 , clause( 4411, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 1.25/1.71 , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 1.25/1.71 , clause( 4412, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 1.25/1.71 , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 1.25/1.71 , clause( 4413, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 1.25/1.71 T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T
% 1.25/1.71 , U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T
% 1.25/1.71 ) ) ] )
% 1.25/1.71 , clause( 4414, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 1.25/1.71 T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 1.25/1.71 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 1.25/1.71 , clause( 4415, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 1.25/1.71 T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 1.25/1.71 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 1.25/1.71 , clause( 4416, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 1.25/1.71 T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 1.25/1.71 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 1.25/1.71 , clause( 4417, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.71 , clause( 4418, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 1.25/1.71 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 1.25/1.71 , clause( 4419, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 1.25/1.71 ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.25/1.71 ), 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.71 , clause( 4420, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.25/1.71 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.25/1.71 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 1.25/1.71 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.71 , clause( 4421, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 1.25/1.71 , clause( 4422, [ 'c_Relation_Otrans'(
% 1.25/1.71 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4423, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'(
% 1.25/1.71 Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z,
% 1.25/1.71 X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 1.25/1.71 , clause( 4424, [ 'c_Wellfounded__Recursion_Owf'(
% 1.25/1.71 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4425, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 1.25/1.71 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 1.25/1.71 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4426, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) )
% 1.25/1.71 , ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 1.25/1.71 , clause( 4427, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4428, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4429, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4430, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4431, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint'
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4432, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4433, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4434, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4435, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4436, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4437, [ 'class_Ring__and__Field_Osemiring__0__cancel'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4438, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4439, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4440, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4441, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4442, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4443, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4444, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4445, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4446, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4447, [ 'class_Ring__and__Field_Osemiring__1__cancel'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4448, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4449, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4450, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4451, [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint'
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4452, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4453, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4454, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4455, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4456, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4457, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4458, [
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4459, [
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4460, [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4461, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4462, [ 'class_Ring__and__Field_Opordered__semiring'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4463, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4464, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4465, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4466, [
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4467, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4468, [ 'class_Ring__and__Field_Oaxclass__abs__if'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4469, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4470, [ 'class_OrderedGroup_Olordered__ab__group'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4471, [ 'class_Ring__and__Field_Opordered__ring'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4472, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4473, [ 'class_OrderedGroup_Olordered__ab__group__abs'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4474, [ 'class_OrderedGroup_Olordered__ab__group__meet'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4475, [ 'class_OrderedGroup_Olordered__ab__group__join'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4476, [ 'class_Ring__and__Field_Olordered__ring'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4477, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4478, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4479, [ 'class_Ring__and__Field_Oordered__semidom'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4480, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4481, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint'
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4482, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4483, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4484, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4485, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4486, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4487, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4488, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4489, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4490, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4491, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 1.25/1.71 'tc_IntDef_Oint' ) ] )
% 1.25/1.71 , clause( 4492, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4493, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 1.25/1.71 , clause( 4494, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.25/1.71 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4495, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 1.25/1.71 , clause( 4496, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4497, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4498, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4499, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4500, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4501, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4502, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4503, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4504, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4505, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4506, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4507, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4508, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4509, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4510, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4511, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4512, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4513, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4514, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4515, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4516, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4517, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4518, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4519, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4520, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4521, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4522, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4523, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4524, [
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4525, [
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4526, [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4527, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4528, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4529, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4530, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4531, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4532, [
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4533, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.25/1.71 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4534, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4535, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4536, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4537, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4538, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4539, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4540, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4541, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4542, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 4543, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 1.25/1.71 , clause( 4544, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.25/1.71 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4545, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 1.25/1.71 , clause( 4546, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 1.25/1.71 , clause( 4547, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 1.25/1.71 , clause( 4548, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 1.25/1.71 'class_Finite__Set_Ofinite'( X ) ) ] )
% 1.25/1.71 , clause( 4549, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 1.25/1.71 , clause( 4550, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 1.25/1.71 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4551, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4552, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4553, [ ~( 'class_LOrder_Olorder'( X ) ),
% 1.25/1.71 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4554, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'(
% 1.25/1.71 X ) ] )
% 1.25/1.71 , clause( 4555, [ ~( 'class_LOrder_Olorder'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4556, [ ~( 'class_LOrder_Olorder'( X ) ),
% 1.25/1.71 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4557, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4558, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4559, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4560, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4561, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4562, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 4563, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4564, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4565, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4566, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4567, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4568, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 4569, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4570, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.71 , clause( 4571, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4572, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'(
% 1.25/1.71 X ) ] )
% 1.25/1.71 , clause( 4573, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 4574, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4575, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4576, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 4577, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.71 , clause( 4578, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4579, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.71 , clause( 4580, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4581, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.71 , clause( 4582, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4583, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Numeral_Onumber'( X ) ] )
% 1.25/1.71 , clause( 4584, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4585, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4586, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4587, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4588, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4589, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4590, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4591, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4592, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4593, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4594, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4595, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4596, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4597, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4598, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4599, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4600, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4601, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4602, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.25/1.71 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4603, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.25/1.71 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4604, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.25/1.71 ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4605, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.25/1.71 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4606, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4607, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4608, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4609, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4610, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4611, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4612, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 4613, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4614, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4615, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4616, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4617, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4618, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4619, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4620, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4621, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4622, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4623, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4624, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 4625, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4626, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4627, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4628, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4629, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4630, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 4631, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4632, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4633, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4634, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4635, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.71 , clause( 4636, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4637, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4638, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4639, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4640, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4641, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 4642, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4643, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4644, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4645, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4646, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4647, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4648, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4649, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4650, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 4651, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4652, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4653, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4654, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4655, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4656, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4657, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4658, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4659, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4660, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4661, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4662, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.71 , clause( 4663, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 4664, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4665, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4666, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4667, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4668, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 4669, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4670, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4671, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4672, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.71 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4673, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4674, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4675, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4676, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4677, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4678, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4679, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4680, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4681, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.71 , clause( 4682, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 4683, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4684, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4685, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4686, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4687, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 4688, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4689, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4690, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4691, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.71 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4692, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 4693, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4694, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4695, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4696, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4697, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 4698, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4699, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4700, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 4701, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4702, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4703, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4704, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4705, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4706, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4707, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4708, [ ~(
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.71 , clause( 4709, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4710, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4711, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4712, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4713, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 4714, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4715, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4716, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4717, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4718, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4719, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4720, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4721, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4722, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4723, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.71 ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4724, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.71 ) ), 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4725, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4726, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4727, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.71 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4728, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4729, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4730, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4731, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4732, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4733, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4734, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4735, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4736, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4737, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4738, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4739, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4740, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4741, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4742, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4743, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4744, [ ~(
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4745, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4746, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4747, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.71 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 4748, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.71 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4749, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.71 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4750, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4751, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4752, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4753, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4754, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4755, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4756, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4757, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4758, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4759, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 4760, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4761, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4762, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 4763, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.71 , clause( 4764, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4765, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4766, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4767, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4768, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4769, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4770, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4771, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 4772, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X )
% 1.25/1.71 ] )
% 1.25/1.71 , clause( 4773, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4774, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4775, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 1.25/1.71 ) ] )
% 1.25/1.71 , clause( 4776, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4777, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4778, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4779, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 4780, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4781, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4782, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4783, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.25/1.71 X ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4784, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.25/1.71 X ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4785, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 4786, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4787, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4788, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4789, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4790, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4791, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4792, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4793, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 4794, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4795, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4796, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4797, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4798, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4799, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4800, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4801, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4802, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4803, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4804, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.71 , clause( 4805, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 4806, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4807, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4808, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4809, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4810, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4811, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4812, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4813, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4814, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4815, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4816, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4817, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.71 , clause( 4818, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4819, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 4820, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 4821, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4822, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 4823, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.71 , clause( 4824, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4825, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4826, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4827, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4828, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 4829, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4830, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4831, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4832, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4833, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4834, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4835, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4836, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4837, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4838, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4839, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4840, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4841, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4842, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4843, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4844, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4845, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4846, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4847, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4848, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4849, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4850, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4851, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 4852, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4853, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4854, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4855, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4856, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4857, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4858, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4859, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4860, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4861, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4862, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4863, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4864, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4865, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4866, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 4867, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4868, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4869, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4870, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4871, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4872, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4873, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4874, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 4875, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 4876, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 4877, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4878, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4879, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4880, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4881, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4882, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4883, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.71 , clause( 4884, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 4885, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4886, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4887, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4888, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4889, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4890, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 4891, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4892, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4893, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4894, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4895, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4896, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4897, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4898, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4899, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4900, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4901, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 4902, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 4903, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4904, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4905, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4906, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4907, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.71 'class_HOL_Oinverse'( X ) ] )
% 1.25/1.71 , clause( 4908, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.71 , clause( 4909, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.71 , clause( 4910, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 4911, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 4912, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4913, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 4914, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4915, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 4916, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4917, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4918, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4919, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4920, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.71 , clause( 4921, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4922, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4923, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4924, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4925, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4926, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4927, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4928, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4929, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4930, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4931, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 4932, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_HOL_Oinverse'( X ) ] )
% 1.25/1.71 , clause( 4933, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oidom'( X ) ] )
% 1.25/1.71 , clause( 4934, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.71 , clause( 4935, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4936, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4937, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4938, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.71 , clause( 4939, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4940, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4941, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.71 , clause( 4942, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.71 , clause( 4943, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 4944, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 4945, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4946, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 4947, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4948, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 4949, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 4950, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4951, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4952, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4953, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.71 , clause( 4954, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4955, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4956, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4957, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4958, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4959, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4960, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4961, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4962, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4963, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4964, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 4965, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.71 , clause( 4966, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4967, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4968, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4969, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.71 , clause( 4970, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 4971, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 4972, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.25/1.71 , clause( 4973, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 4974, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 4975, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 4976, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 4977, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 4978, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 4979, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 4980, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 4981, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 4982, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 4983, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4984, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4985, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4986, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4987, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 4988, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 4989, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.25/1.71 , clause( 4990, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.71 , clause( 4991, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 4992, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4993, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 4994, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.25/1.71 , clause( 4995, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 4996, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.25/1.71 , clause( 4997, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 4998, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 4999, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5000, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.71 , clause( 5001, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5002, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5003, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 5004, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5005, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5006, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5007, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5008, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.71 , clause( 5009, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 5010, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5011, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5012, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 5013, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5014, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5015, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5016, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5017, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5018, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5019, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5020, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.71 , clause( 5021, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.71 , clause( 5022, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5023, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5024, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5025, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5026, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5027, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5028, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5029, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5030, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5031, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5032, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5033, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ofield'( X ) ] )
% 1.25/1.71 , clause( 5034, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_HOL_Oinverse'( X ) ] )
% 1.25/1.71 , clause( 5035, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.71 , clause( 5036, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 5037, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 5038, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 5039, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 5040, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 5041, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 5042, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5043, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 5044, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5045, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oidom'( X ) ] )
% 1.25/1.71 , clause( 5046, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5047, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5048, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5049, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5050, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5051, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5052, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5053, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5054, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5055, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5056, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.71 , clause( 5057, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5058, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.71 , clause( 5059, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5060, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5061, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 1.25/1.71 , clause( 5062, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 1.25/1.71 , clause( 5063, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5064, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5065, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 1.25/1.71 , clause( 5066, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.71 , clause( 5067, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.71 , clause( 5068, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5069, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.71 , clause( 5070, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 1.25/1.71 , clause( 5071, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 1.25/1.71 , clause( 5072, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.25/1.71 , clause( 5073, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.71 , clause( 5074, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5075, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.25/1.71 , clause( 5076, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.25/1.71 , clause( 5077, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.25/1.71 , clause( 5078, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.71 , clause( 5079, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.71 , clause( 5080, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 5081, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5082, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5083, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5084, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 5085, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5086, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5087, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5088, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5089, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 5090, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 1.25/1.71 , clause( 5091, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5092, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 5093, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 5094, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.71 , clause( 5095, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.71 , clause( 5096, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 5097, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 5098, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 5099, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 5100, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5101, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 5102, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5103, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5104, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5105, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5106, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.71 , clause( 5107, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5108, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5109, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5110, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5111, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5112, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5113, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5114, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5115, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5116, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5117, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 5118, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 1.25/1.71 , clause( 5119, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.71 , clause( 5120, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5121, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.71 , clause( 5122, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 5123, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5124, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5125, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 5126, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5127, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5128, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5129, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.71 , clause( 5130, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5131, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5132, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5133, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5134, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5135, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 1.25/1.71 , clause( 5136, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 1.25/1.71 , clause( 5137, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 1.25/1.71 , clause( 5138, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.25/1.71 , clause( 5139, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 5140, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.25/1.71 , clause( 5141, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.25/1.71 , clause( 5142, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.25/1.71 , clause( 5143, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.71 , clause( 5144, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5145, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 1.25/1.71 , clause( 5146, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.71 , clause( 5147, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oidom'( X ) ] )
% 1.25/1.71 , clause( 5148, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 5149, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.71 , clause( 5150, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 5151, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 5152, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 5153, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5154, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5155, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5156, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5157, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5158, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5159, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.71 , clause( 5160, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5161, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.71 , clause( 5162, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 5163, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5164, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 5165, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5166, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 5167, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5168, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.71 , clause( 5169, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5170, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5171, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5172, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5173, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 1.25/1.71 , clause( 5174, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.71 , clause( 5175, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5176, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5177, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 1.25/1.71 , clause( 5178, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.25/1.71 , clause( 5179, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.25/1.71 , clause( 5180, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.25/1.71 , clause( 5181, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.25/1.71 , clause( 5182, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.71 , clause( 5183, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5184, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5185, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5186, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5187, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5188, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.71 , 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5189, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 5190, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.71 , clause( 5191, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5192, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5193, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5194, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5195, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5196, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5197, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5198, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5199, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5200, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5201, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.71 , clause( 5202, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5203, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5204, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5205, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5206, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 1.25/1.71 , clause( 5207, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.71 , clause( 5208, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5209, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.71 , clause( 5210, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 5211, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5212, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 5213, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5214, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 5215, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5216, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5217, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.71 , clause( 5218, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5219, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5220, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5221, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5222, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5223, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 5224, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 5225, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 5226, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 5227, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5228, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 5229, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5230, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5231, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.71 , clause( 5232, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.71 , clause( 5233, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5234, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.71 , clause( 5235, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 5236, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 1.25/1.71 )
% 1.25/1.71 , clause( 5237, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5238, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5239, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5240, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5241, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5242, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5243, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5244, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.71 , clause( 5245, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5246, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5247, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5248, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5249, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5250, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5251, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5252, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5253, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5254, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 5255, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5256, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5257, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5258, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5259, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5260, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5261, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5262, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5263, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5264, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.71 , clause( 5265, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5266, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5267, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5268, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5269, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5270, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5271, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5272, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5273, [ ~(
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5274, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5275, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5276, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5277, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5278, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5279, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5280, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5281, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5282, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5283, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5284, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5285, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5286, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5287, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5288, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5289, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.71 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5290, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.71 , clause( 5291, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 5292, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5293, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5294, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5295, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5296, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5297, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5298, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5299, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5300, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5301, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5302, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5303, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5304, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5305, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5306, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5307, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5308, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 5309, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5310, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 5311, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5312, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5313, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5314, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.71 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5315, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.71 , clause( 5316, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.71 , clause( 5317, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5318, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5319, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5320, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5321, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5322, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5323, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5324, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5325, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5326, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5327, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5328, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5329, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5330, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.71 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5331, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 5332, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5333, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5334, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5335, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5336, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5337, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5338, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.71 , clause( 5339, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5340, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5341, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5342, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5343, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 5344, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.71 , clause( 5345, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5346, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.71 , clause( 5347, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5348, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5349, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5350, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5351, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5352, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5353, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5354, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5355, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5356, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.71 , clause( 5357, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_Orderings_Oord'( X ) ] )
% 1.25/1.71 , clause( 5358, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5359, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5360, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5361, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5362, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5363, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5364, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5365, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5366, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5367, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5368, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5369, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5370, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5371, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5372, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5373, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5374, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5375, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5376, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5377, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 5378, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5379, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5380, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.71 , clause( 5381, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.71 , clause( 5382, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5383, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5384, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5385, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5386, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5387, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.71 , clause( 5388, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 5389, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 5390, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 5391, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.71 , clause( 5392, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_HOL_Ominus'( X ) ] )
% 1.25/1.71 , clause( 5393, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.71 , clause( 5394, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5395, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5396, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5397, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5398, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5399, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5400, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5401, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5402, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5403, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5404, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5405, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5406, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5407, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5408, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5409, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5410, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5411, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5412, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5413, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5414, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5415, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5416, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5417, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5418, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.71 , clause( 5419, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5420, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5421, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5422, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5423, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.71 , clause( 5424, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.71 , clause( 5425, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.71 'class_HOL_Ozero'( X ) ] )
% 1.25/1.71 , clause( 5426, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.71 'class_HOL_Oplus'( X ) ] )
% 1.25/1.71 , clause( 5427, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.71 , clause( 5428, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.71 'class_HOL_Oone'( X ) ] )
% 1.25/1.71 , clause( 5429, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.71 , clause( 5430, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.71 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.71 , clause( 5431, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.71 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.71 , clause( 5432, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.71 'class_HOL_Otimes'( X ) ] )
% 1.25/1.71 , clause( 5433, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.73 , clause( 5434, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.73 , clause( 5435, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.73 , clause( 5436, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.73 , clause( 5437, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.73 , clause( 5438, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_HOL_Oone'( X ) ] )
% 1.25/1.73 , clause( 5439, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.73 , clause( 5440, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_HOL_Otimes'( X ) ] )
% 1.25/1.73 , clause( 5441, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.73 , clause( 5442, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.73 , clause( 5443, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.73 , clause( 5444, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.73 , clause( 5445, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.73 , clause( 5446, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.73 , clause( 5447, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_HOL_Ozero'( X ) ] )
% 1.25/1.73 , clause( 5448, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.73 , clause( 5449, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.73 , clause( 5450, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_HOL_Oplus'( X ) ] )
% 1.25/1.73 , clause( 5451, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.73 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.73 , clause( 5452, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.73 'class_Orderings_Oord'( X ) ] )
% 1.25/1.73 , clause( 5453, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.73 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.73 , clause( 5454, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.73 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.73 , clause( 5455, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.73 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.73 , clause( 5456, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.73 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.73 , clause( 5457, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.73 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.73 , clause( 5458, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.25/1.73 'c_SetsAndFunctions_Oelt__set__times'( 'c_1', Y, X ), Y ) ] )
% 1.25/1.73 , clause( 5459, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.73 'c_SetsAndFunctions_Oelt__set__plus'( 'c_0', Y, X ), Y ) ] )
% 1.25/1.73 , clause( 5460, [ 'c_lessequals'( 'c_0', 'v_h'( X, Y ), 't_c' ) ] )
% 1.25/1.73 , clause( 5461, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_f'( X, Y ), 't_c' ),
% 1.25/1.73 'c_times'( 'v_x', 'v_h'( X, Y ), 't_c' ), 't_c' ) ] )
% 1.25/1.73 , clause( 5462, [ 'c_in'( 'v_xb', 'v_A'( 'v_xa' ), 't_b' ) ] )
% 1.25/1.73 , clause( 5463, [ ~( 'c_lessequals'( 'c_0', 'v_h'( 'v_xa', 'v_xb' ), 't_c'
% 1.25/1.73 ) ) ] )
% 1.25/1.73 , clause( 5464, [ 'class_Ring__and__Field_Oordered__idom'( 't_c' ) ] )
% 1.25/1.73 ] ).
% 1.25/1.73
% 1.25/1.73
% 1.25/1.73
% 1.25/1.73 subsumption(
% 1.25/1.73 clause( 2673, [ 'c_lessequals'( 'c_0', 'v_h'( X, Y ), 't_c' ) ] )
% 1.25/1.73 , clause( 5460, [ 'c_lessequals'( 'c_0', 'v_h'( X, Y ), 't_c' ) ] )
% 1.25/1.73 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.25/1.73 )] ) ).
% 1.25/1.73
% 1.25/1.73
% 1.25/1.73 resolution(
% 1.25/1.73 clause( 8658, [] )
% 1.25/1.73 , clause( 5463, [ ~( 'c_lessequals'( 'c_0', 'v_h'( 'v_xa', 'v_xb' ), 't_c'
% 1.25/1.73 ) ) ] )
% 1.25/1.73 , 0, clause( 2673, [ 'c_lessequals'( 'c_0', 'v_h'( X, Y ), 't_c' ) ] )
% 1.25/1.73 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_xa' ), :=( Y,
% 1.25/1.73 'v_xb' )] )).
% 1.25/1.73
% 1.25/1.73
% 1.25/1.73 subsumption(
% 1.25/1.73 clause( 2676, [] )
% 1.25/1.73 , clause( 8658, [] )
% 1.25/1.73 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.25/1.73
% 1.25/1.73
% 1.25/1.73 end.
% 1.25/1.73
% 1.25/1.73 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.25/1.73
% 1.25/1.73 Memory use:
% 1.25/1.73
% 1.25/1.73 space for terms: 114473
% 1.25/1.73 space for clauses: 200865
% 1.25/1.73
% 1.25/1.73
% 1.25/1.73 clauses generated: 2786
% 1.25/1.73 clauses kept: 2677
% 1.25/1.73 clauses selected: 0
% 1.25/1.73 clauses deleted: 0
% 1.25/1.73 clauses inuse deleted: 0
% 1.25/1.73
% 1.25/1.73 subsentry: 20897
% 1.25/1.73 literals s-matched: 8719
% 1.25/1.73 literals matched: 8695
% 1.25/1.73 full subsumption: 682
% 1.25/1.73
% 1.25/1.73 checksum: -286614661
% 1.25/1.73
% 1.25/1.73
% 1.25/1.73 Bliksem ended
%------------------------------------------------------------------------------