TSTP Solution File: SWV607-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV607-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 : Wed Jul 20 16:27:05 EDT 2022
% Result : Timeout 300.05s 300.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV607-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 00:01:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.09/1.50 *** allocated 10000 integers for termspace/termends
% 1.09/1.50 *** allocated 10000 integers for clauses
% 1.09/1.50 *** allocated 10000 integers for justifications
% 1.09/1.50 *** allocated 15000 integers for termspace/termends
% 1.09/1.50 *** allocated 22500 integers for termspace/termends
% 1.09/1.50 Bliksem 1.12
% 1.09/1.50
% 1.09/1.50
% 1.09/1.50 Automatic Strategy Selection
% 1.09/1.50
% 1.09/1.50 Clauses:
% 1.09/1.50 [
% 1.09/1.50 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.09/1.50 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.50 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.09/1.50 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.50 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.09/1.50 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.09/1.50 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.50 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.50 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.09/1.50 ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.50 ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.09/1.50 ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.50 ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.09/1.50 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.09/1.50 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.09/1.50 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.50 , T, X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.09/1.50 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.09/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.50 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.09/1.50 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.09/1.50 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 1.09/1.50 ,
% 1.09/1.50 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.09/1.50 'tc_nat' ) ],
% 1.09/1.50 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.09/1.50 , X, 'tc_nat' ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.50 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.50 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.50 X ), X ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Z,
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.50 [ =( 'c_NthRoot_Oroot'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.50 ), X ), X ) ],
% 1.09/1.50 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' ),
% 1.09/1.50 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 'tc_nat' ) ) ]
% 1.09/1.50 ,
% 1.09/1.50 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 1.09/1.50 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ),
% 1.09/1.50 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.50 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.50 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.09/1.50 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.09/1.50 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 1.09/1.50 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.50 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_Suc'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.09/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.09/1.50 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.09/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.50 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.09/1.50 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.50 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.50 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.09/1.50 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.50 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.09/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.50 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.50 ,
% 1.09/1.50 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), X,
% 1.09/1.50 'tc_nat' ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.50 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.09/1.50 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.09/1.50 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.50 Z, 'tc_nat' ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.50 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.09/1.50 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.09/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.50 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.50 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 1.09/1.50 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.09/1.50 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_Suc'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Odiv'(
% 1.09/1.50 X, 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.09/1.50 ), 'tc_nat' ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' )
% 1.09/1.50 ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.50 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.09/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.50 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.09/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.09/1.50 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.09/1.50 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.09/1.50 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.09/1.50 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.50 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.09/1.50 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.09/1.50 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.09/1.50 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.50 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.50 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.50 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.09/1.50 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.50 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.50 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.50 X ), 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 1.09/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.50 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.50 , 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.50 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.09/1.50 ) ],
% 1.09/1.50 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.09/1.50 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.09/1.50 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.50 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.50 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.50 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.50 ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.50 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.50 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.50 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.50 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.50 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.50 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.09/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.09/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.50 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ), =( Y, X ) ]
% 1.09/1.50 ,
% 1.09/1.50 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 1.09/1.50 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.50 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' )
% 1.09/1.50 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.50 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 1.09/1.50 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.50 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 1.09/1.50 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.50 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 1.09/1.50 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.50 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.09/1.50 , Y, 'tc_nat' ) ) ],
% 1.09/1.50 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 1.09/1.50 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.09/1.50 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.09/1.50 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.50 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ),
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ),
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.50 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, X, 'tc_nat' ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.09/1.50 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.09/1.50 ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.09/1.50 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.09/1.50 ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.50 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.09/1.50 X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.50 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.09/1.50 ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.50 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.09/1.50 X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.50 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.09/1.50 ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.50 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.50 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.09/1.50 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.50 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.50 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.50 ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.50 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.50 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.50 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.09/1.50 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 1.09/1.50 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.50 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.09/1.50 X ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.50 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.50 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.50 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.50 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.09/1.50 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.50 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.50 ), X ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.50 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.50 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.50 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.50 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.50 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.50 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.50 ), X ) ],
% 1.09/1.50 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.09/1.50 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.50 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 1.09/1.50 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.09/1.50 ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.09/1.50 ,
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.09/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.50 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.50 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.09/1.50 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.09/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.50 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.09/1.50 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.09/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.50 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.50 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 1.09/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.50 [ =( 'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.09/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.50 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.09/1.50 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.09/1.50 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.50 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.09/1.50 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.09/1.50 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.50 ) ) ],
% 1.09/1.50 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.09/1.50 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.09/1.50 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_Suc'( X ), 'c_Suc'( 'c_Suc'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 'c_Suc'(
% 1.09/1.50 'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'( 'c_Suc'(
% 1.09/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ),
% 1.09/1.50 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.09/1.50 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.09/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.50 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.09/1.50 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.50 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.09/1.50 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.50 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.09/1.50 X ), X ) ) ],
% 1.09/1.50 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 1.09/1.51 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.09/1.51 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.09/1.51 ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.51 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.09/1.51 X ) ) ), =( Z, T ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.09/1.51 X ) ) ), =( Z, T ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.09/1.51 X ) ) ), =( Y, T ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.09/1.51 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.51 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.09/1.51 [ =( 'c_Suc'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Odiv'(
% 1.09/1.51 X, 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.09/1.51 ), 'tc_nat' ) ), X ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.09/1.51 , X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.09/1.51 , X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.09/1.51 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.09/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.09/1.51 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.09/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.51 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.51 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.51 ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.09/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.09/1.51 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.51 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.09/1.51 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.51 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.09/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.09/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.09/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.09/1.51 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.51 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.51 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.09/1.51 X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Z, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Z, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.09/1.51 X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.51 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.51 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.51 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.09/1.51 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.51 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.51 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.51 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.51 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.09/1.51 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.51 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.51 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.51 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.09/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.09/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.09/1.51 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.09/1.51 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.09/1.51 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.09/1.51 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.09/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.09/1.51 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.09/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.51 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.09/1.51 X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.09/1.51 X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.09/1.51 X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.09/1.51 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.09/1.51 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.09/1.51 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.09/1.51 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.09/1.51 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.09/1.51 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.09/1.51 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.09/1.51 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.51 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.51 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.09/1.51 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 1.09/1.51 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_Suc'( X ), 'c_Suc'( 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'( 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~(
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.09/1.51 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.09/1.51 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.09/1.51 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.51 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.09/1.51 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.09/1.51 , U, X ), T, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.51 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.09/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.51 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), Z, X ) ) ],
% 1.09/1.51 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.09/1.51 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.09/1.51 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.09/1.51 'c_lessequals'( Z, Y, X ) ],
% 1.09/1.51 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.51 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.51 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.51 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.51 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( 'c_Divides_Odiv__class_Odiv'( Y
% 1.09/1.51 , X, 'tc_nat' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 X, 'tc_nat' ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.51 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.09/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.09/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.09/1.51 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.09/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.09/1.51 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.09/1.51 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.09/1.51 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.51 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.51 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.51 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.51 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.09/1.51 , X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.09/1.51 , X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.51 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.51 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.51 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.09/1.51 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.51 , Y, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , Z, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , Z, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.51 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.51 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.09/1.51 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.51 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 Y, T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.51 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.09/1.51 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.51 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 1.09/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.51 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.51 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.51 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.51 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.51 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.51 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.09/1.51 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.09/1.51 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.09/1.51 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.51 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.09/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.51 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.51 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.51 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.51 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.51 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.51 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.09/1.51 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.51 'tc_nat' ), X ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.51 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.09/1.51 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.51 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.51 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.09/1.51 ), Y, X ) ), =( Z, T ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.51 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.51 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.51 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.09/1.51 , Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.51 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.09/1.51 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.09/1.51 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.09/1.51 , 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( =( 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( X, Z ) ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ) ), =( Y, Z ) ],
% 1.09/1.51 [ =( 'c_NthRoot_Oroot'( X, 'c_NthRoot_Oroot'( Y, Z ) ),
% 1.09/1.51 'c_NthRoot_Oroot'( Y, 'c_NthRoot_Oroot'( X, Z ) ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Z, X
% 1.09/1.51 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 1.09/1.51 ) ],
% 1.09/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.51 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.51 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.09/1.51 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 1.09/1.51 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 1.09/1.51 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 1.09/1.51 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.09/1.51 ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.51 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.09/1.51 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y,
% 1.09/1.51 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 1.09/1.51 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 1.09/1.51 ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 1.09/1.51 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.09/1.51 ) ],
% 1.09/1.51 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat'
% 1.09/1.51 ), 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat' ) ), 'tc_nat' ) )
% 1.09/1.51 ],
% 1.09/1.51 [ =( X, 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 'c_Suc'( X
% 1.09/1.51 ), 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.09/1.51 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.09/1.51 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.09/1.51 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.09/1.51 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.09/1.51 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.09/1.51 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.09/1.51 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.09/1.51 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_Divides_Odiv__class_Odiv'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'(
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( X
% 1.09/1.51 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.09/1.51 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.09/1.51 ],
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 1.09/1.51 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.09/1.51 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.09/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.09/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.09/1.51 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.09/1.51 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.51 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 1.09/1.51 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.51 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.51 , 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.09/1.51 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.09/1.51 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.51 , T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.51 , T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.51 , T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.51 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.09/1.51 X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.51 Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.09/1.51 X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.51 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.09/1.51 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.09/1.51 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.09/1.51 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 Y, T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 Y, T, X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.09/1.51 , Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.09/1.51 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.09/1.51 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , Z, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.51 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , T, X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.51 Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.51 Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.51 , Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.51 , Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.51 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.51 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.51 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.51 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.51 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.51 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.51 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.51 X ), T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.51 X ), T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 1.09/1.51 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ) ],
% 1.09/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ) ],
% 1.09/1.51 [ =( 'c_NthRoot_Oroot'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 Z ), 'c_NthRoot_Oroot'( X, 'c_NthRoot_Oroot'( Y, Z ) ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.09/1.51 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 1.09/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), X, 'tc_nat' ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.09/1.51 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Z, X
% 1.09/1.51 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.51 , Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( X
% 1.09/1.51 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.09/1.51 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.51 ) ), X, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.09/1.51 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.51 ) ), X, 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X,
% 1.09/1.51 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.51 ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z,
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 1.09/1.51 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.51 'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Archimedean__Field_Oarchimedean__field'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'(
% 1.09/1.51 Y, X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.09/1.51 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.51 , Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.09/1.51 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.51 , Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.09/1.51 , X ) ) ],
% 1.09/1.51 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.51 , Y, X ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.09/1.51 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.51 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.51 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.51 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.51 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.09/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.09/1.51 Y, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.51 ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.51 ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.09/1.51 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.09/1.51 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.51 , X ), X ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.51 X ), T, X ) ) ],
% 1.09/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.51 X ), T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.09/1.51 T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.09/1.51 X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.09/1.51 T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.51 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.09/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.51 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.09/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.51 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.51 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.09/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.09/1.51 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.51 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.09/1.51 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 1.09/1.51 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.51 ), =( Z, Y ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.51 ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.51 ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.51 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.51 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.09/1.51 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.51 Z, T, 'tc_nat' ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.51 , Y, X ) ) ],
% 1.09/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.51 , Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.51 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ) ), =( Y, Z ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 1.09/1.51 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.51 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 1.09/1.51 ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 1.09/1.51 ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 1.09/1.51 ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.51 X ), T, X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.51 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.09/1.51 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.51 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.09/1.51 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 1.09/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.51 'tc_nat' ) ) ],
% 1.09/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.51 'v_d', 'tc_nat' ) ],
% 1.09/1.51 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'v_d', 'v_n', 'tc_nat' ) ),
% 1.09/1.51 'c_HOL_Otimes__class_Otimes'( 'v_d', 'v_k', 'tc_nat' ),
% 1.09/1.51 'tc_Complex_Ocomplex' ), 'c_Power_Opower__class_Opower'(
% 1.09/1.51 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ) ) ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.09/1.51 ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.09/1.51 ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.09/1.51 ],
% 1.09/1.51 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.09/1.51 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.09/1.51 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.09/1.51 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.09/1.51 ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.09/1.51 ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.09/1.51 'tc_RealDef_Oreal' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.09/1.51 'tc_RealDef_Oreal' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.09/1.51 'tc_RealDef_Oreal' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.09/1.51 'tc_RealDef_Oreal' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.09/1.51 'tc_RealDef_Oreal' ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.09/1.51 'tc_RealDef_Oreal' ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.09/1.51 ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.09/1.51 ) ],
% 1.09/1.51 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.09/1.51 ) ],
% 1.09/1.51 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.09/1.51 ],
% 1.09/1.51 [ 'class_Archimedean__Field_Oarchimedean__field'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.09/1.51 ],
% 1.09/1.51 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.51 ,
% 1.09/1.51 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.09/1.52 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.09/1.52 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.09/1.52 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.09/1.52 ],
% 1.09/1.52 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.09/1.52 ],
% 1.09/1.52 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.09/1.52 ],
% 1.09/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.52 ,
% 1.09/1.52 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.52 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.14/1.57 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.14/1.57 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.14/1.57 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.14/1.57 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.14/1.57 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.14/1.57 ] .
% 1.14/1.57
% 1.14/1.57
% 1.14/1.57 percentage equality = 0.123457, percentage horn = 0.774887
% 1.14/1.57 This is a problem with some equality
% 1.14/1.57
% 1.14/1.57
% 1.14/1.57
% 1.14/1.57 Options Used:
% 1.14/1.57
% 1.14/1.57 useres = 1
% 1.14/1.57 useparamod = 1
% 1.14/1.57 useeqrefl = 1
% 1.14/1.57 useeqfact = 1
% 1.14/1.57 usefactor = 1
% 1.14/1.57 usesimpsplitting = 0
% 1.14/1.57 usesimpdemod = 5
% 1.14/1.57 usesimpres = 3
% 1.14/1.57
% 1.14/1.57 resimpinuse = 1000
% 1.14/1.57 resimpclauses = 20000
% 1.14/1.57 substype = eqrewr
% 1.14/1.57 backwardsubs = 1
% 1.14/1.57 selectoldest = 5
% 1.14/1.57
% 1.14/1.57 litorderings [0] = split
% 1.14/1.57 litorderings [1] = extend the termordering, first sorting on arguments
% 1.14/1.57
% 1.14/1.57 termordering = kbo
% 1.14/1.57
% 1.14/1.57 litapriori = 0
% 1.14/1.57 termapriori = 1
% 1.14/1.57 litaposteriori = 0
% 1.14/1.57 termaposteriori = 0
% 1.14/1.57 demodaposteriori = 0
% 1.14/1.57 ordereqreflfact = 0
% 1.14/1.57
% 1.14/1.57 litselect = negord
% 1.14/1.57
% 1.14/1.57 maxweight = 15
% 1.14/1.57 maxdepth = 30000
% 1.14/1.57 maxlength = 115
% 1.14/1.57 maxnrvars = 195
% 1.14/1.57 excuselevel = 1
% 1.14/1.57 increasemaxweight = 1
% 1.14/1.57
% 1.14/1.57 maxselected = 10000000
% 1.14/1.57 maxnrclauses = 10000000
% 1.14/1.57
% 1.14/1.57 showgenerated = 0
% 1.14/1.57 showkept = 0
% 1.14/1.57 showselected = 0
% 1.14/1.57 showdeleted = 0
% 1.14/1.57 showresimp = 1
% 1.14/1.57 showstatus = 2000
% 1.14/1.57
% 1.14/1.57 prologoutput = 1
% 1.14/1.57 nrgoals = 5000000
% 1.14/1.57 totalproof = 1
% 1.14/1.57
% 1.14/1.57 Symbols occurring in the translation:
% 1.14/1.57
% 1.14/1.57 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.14/1.57 . [1, 2] (w:1, o:111, a:1, s:1, b:0),
% 1.14/1.57 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 1.14/1.57 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.14/1.57 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.14/1.57 'class_OrderedGroup_Oab__semigroup__add' [40, 1] (w:1, o:54, a:1, s:1
% 1.14/1.57 , b:0),
% 1.14/1.57 'c_HOL_Oplus__class_Oplus' [43, 3] (w:1, o:142, a:1, s:1, b:0),
% 1.14/1.57 'class_Ring__and__Field_Ocomm__semiring__1' [45, 1] (w:1, o:55, a:1
% 1.14/1.57 , s:1, b:0),
% 1.14/1.57 'tc_nat' [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.14/1.57 'c_HOL_Ozero__class_Ozero' [48, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.14/1.57 'c_Suc' [49, 1] (w:1, o:57, a:1, s:1, b:0),
% 1.14/1.57 'c_Ring__and__Field_Odvd__class_Odvd' [51, 3] (w:1, o:143, a:1, s:1
% 1.14/1.57 , b:0),
% 1.14/1.57 'class_Ring__and__Field_Ofield' [52, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.14/1.57 'c_HOL_Oinverse__class_Odivide' [54, 3] (w:1, o:144, a:1, s:1, b:0),
% 1.14/1.57
% 1.14/1.57 'c_HOL_Oone__class_Oone' [55, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.14/1.57 'class_Ring__and__Field_Odivision__by__zero' [56, 1] (w:1, o:61, a:1
% 1.14/1.57 , s:1, b:0),
% 1.14/1.57 'class_Ring__and__Field_Oordered__field' [57, 1] (w:1, o:64, a:1, s:1
% 1.14/1.57 , b:0),
% 1.14/1.57 'c_lessequals' [58, 3] (w:1, o:145, a:1, s:1, b:0),
% 1.14/1.57 'class_Ring__and__Field_Osemiring' [59, 1] (w:1, o:67, a:1, s:1, b:0)
% 1.14/1.57 ,
% 1.14/1.57 'class_Int_Onumber' [60, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.14/1.57 'c_Int_Onumber__class_Onumber__of' [62, 2] (w:1, o:136, a:1, s:1, b:0
% 1.14/1.57 ),
% 1.14/1.57 'c_HOL_Otimes__class_Otimes' [63, 3] (w:1, o:146, a:1, s:1, b:0),
% 1.14/1.57 'class_Int_Oring__char__0' [64, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.14/1.57 'class_Int_Onumber__ring' [65, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.14/1.57 'class_Divides_Osemiring__div' [67, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.14/1.57 'c_Divides_Odiv__class_Odiv' [68, 3] (w:1, o:147, a:1, s:1, b:0),
% 1.14/1.57 'class_Ring__and__Field_Oordered__idom' [71, 1] (w:1, o:72, a:1, s:1
% 1.14/1.57 , b:0),
% 1.14/1.57 'c_Parity_Oeven__odd__class_Oeven' [73, 2] (w:1, o:137, a:1, s:1, b:0
% 1.14/1.57 ),
% 1.14/1.57 'c_Power_Opower__class_Opower' [74, 3] (w:1, o:148, a:1, s:1, b:0),
% 1.14/1.57 'c_NthRoot_Oroot' [75, 2] (w:1, o:138, a:1, s:1, b:0),
% 1.14/1.57 'class_OrderedGroup_Oab__group__add' [76, 1] (w:1, o:73, a:1, s:1, b:
% 1.14/1.57 0),
% 1.14/1.57 'class_OrderedGroup_Ocomm__monoid__add' [78, 1] (w:1, o:74, a:1, s:1
% 1.14/1.57 , b:0),
% 1.14/1.57 'class_OrderedGroup_Opordered__comm__monoid__add' [79, 1] (w:1, o:75
% 1.14/1.57 , a:1, s:1, b:0),
% 1.14/1.57 'class_Ring__and__Field_Oordered__semidom' [80, 1] (w:1, o:77, a:1
% 1.14/1.57 , s:1, b:0),
% 1.14/1.57 'c_Nat_Osemiring__1__class_Oof__nat' [81, 2] (w:1, o:139, a:1, s:1
% 1.14/1.57 , b:0),
% 1.14/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [82, 1]
% 1.14/1.57 (w:1, o:78, a:1, s:1, b:0),
% 1.14/1.57 'c_HOL_Oord__class_Oless' [83, 3] (w:1, o:141, a:1, s:1, b:0),
% 9.53/9.89 'class_Nat_Osemiring__char__0' [84, 1] (w:1, o:53, a:1, s:1, b:0),
% 9.53/9.89 'class_Orderings_Oorder' [85, 1] (w:1, o:79, a:1, s:1, b:0),
% 9.53/9.89 'class_OrderedGroup_Opordered__ab__semigroup__add' [86, 1] (w:1, o:80
% 9.53/9.89 , a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Oidom' [87, 1] (w:1, o:81, a:1, s:1, b:0),
% 9.53/9.89 'class_OrderedGroup_Ocancel__ab__semigroup__add' [88, 1] (w:1, o:82
% 9.53/9.89 , a:1, s:1, b:0),
% 9.53/9.89 'class_OrderedGroup_Ocancel__semigroup__add' [89, 1] (w:1, o:83, a:1
% 9.53/9.89 , s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Osemiring__1' [90, 1] (w:1, o:85, a:1, s:1
% 9.53/9.89 , b:0),
% 9.53/9.89 'class_RealVector_Oreal__normed__field' [93, 1] (w:1, o:86, a:1, s:1
% 9.53/9.89 , b:0),
% 9.53/9.89 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [95, 1]
% 9.53/9.89 (w:1, o:87, a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Ozero__neq__one' [96, 1] (w:1, o:88, a:1, s:1
% 9.53/9.89 , b:0),
% 9.53/9.89 'class_OrderedGroup_Olordered__ab__group__add' [97, 1] (w:1, o:89, a:
% 9.53/9.89 1, s:1, b:0),
% 9.53/9.89 'class_OrderedGroup_Omonoid__add' [98, 1] (w:1, o:90, a:1, s:1, b:0)
% 9.53/9.89 ,
% 9.53/9.89 'class_Orderings_Opreorder' [99, 1] (w:1, o:91, a:1, s:1, b:0),
% 9.53/9.89 'class_Orderings_Olinorder' [100, 1] (w:1, o:92, a:1, s:1, b:0),
% 9.53/9.89 'class_OrderedGroup_Opordered__ab__group__add' [105, 1] (w:1, o:93
% 9.53/9.89 , a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Osemiring__0' [106, 1] (w:1, o:84, a:1, s:1
% 9.53/9.89 , b:0),
% 9.53/9.89 'class_Power_Opower' [107, 1] (w:1, o:98, a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Oordered__ring__strict' [108, 1] (w:1, o:76
% 9.53/9.89 , a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Ocomm__semiring' [109, 1] (w:1, o:60, a:1, s:
% 9.53/9.89 1, b:0),
% 9.53/9.89 'class_RealVector_Oreal__normed__algebra' [110, 1] (w:1, o:99, a:1
% 9.53/9.89 , s:1, b:0),
% 9.53/9.89 'class_OrderedGroup_Omonoid__mult' [114, 1] (w:1, o:94, a:1, s:1, b:0
% 9.53/9.89 ),
% 9.53/9.89 'class_OrderedGroup_Ocomm__monoid__mult' [115, 1] (w:1, o:95, a:1, s:
% 9.53/9.89 1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Odvd' [116, 1] (w:1, o:100, a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Omult__mono1' [118, 1] (w:1, o:101, a:1, s:1
% 9.53/9.89 , b:0),
% 9.53/9.89 'class_Ring__and__Field_Omult__mono' [119, 1] (w:1, o:102, a:1, s:1
% 9.53/9.89 , b:0),
% 9.53/9.89 'class_Ring__and__Field_Opordered__ring' [120, 1] (w:1, o:106, a:1
% 9.53/9.89 , s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Opordered__cancel__semiring' [122, 1] (w:1
% 9.53/9.89 , o:107, a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Opordered__semiring' [123, 1] (w:1, o:108, a:
% 9.53/9.89 1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Ono__zero__divisors' [124, 1] (w:1, o:63, a:1
% 9.53/9.89 , s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Omult__zero' [125, 1] (w:1, o:62, a:1, s:1
% 9.53/9.89 , b:0),
% 9.53/9.89 'class_Ring__and__Field_Oordered__semiring__strict' [128, 1] (w:1, o:
% 9.53/9.89 103, a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Oordered__semiring' [129, 1] (w:1, o:104, a:1
% 9.53/9.89 , s:1, b:0),
% 9.53/9.89 'c_FFT__Mirabelle_Oroot' [130, 1] (w:1, o:109, a:1, s:1, b:0),
% 9.53/9.89 'tc_Complex_Ocomplex' [131, 0] (w:1, o:40, a:1, s:1, b:0),
% 9.53/9.89 'class_Archimedean__Field_Oarchimedean__field' [132, 1] (w:1, o:110
% 9.53/9.89 , a:1, s:1, b:0),
% 9.53/9.89
% 9.53/9.89 'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'
% 9.53/9.89 [133, 2] (w:1, o:140, a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Oring__no__zero__divisors' [134, 1] (w:1, o:
% 9.53/9.89 65, a:1, s:1, b:0),
% 9.53/9.89 'class_OrderedGroup_Oab__semigroup__mult' [139, 1] (w:1, o:96, a:1
% 9.53/9.89 , s:1, b:0),
% 9.53/9.89 'class_OrderedGroup_Oab__semigroup__idem__mult' [140, 1] (w:1, o:97
% 9.53/9.89 , a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Oring__1__no__zero__divisors' [141, 1] (w:1
% 9.53/9.89 , o:66, a:1, s:1, b:0),
% 9.53/9.89 'class_Ring__and__Field_Oordered__comm__semiring__strict' [143, 1]
% 9.53/9.89 (w:1, o:105, a:1, s:1, b:0),
% 9.53/9.89 'v_d' [144, 0] (w:1, o:43, a:1, s:1, b:0),
% 9.53/9.89 'v_n' [145, 0] (w:1, o:44, a:1, s:1, b:0),
% 9.53/9.89 'v_k' [146, 0] (w:1, o:45, a:1, s:1, b:0),
% 9.53/9.89 'tc_Int_Oint' [147, 0] (w:1, o:46, a:1, s:1, b:0),
% 9.53/9.89 'tc_RealDef_Oreal' [148, 0] (w:1, o:47, a:1, s:1, b:0).
% 9.53/9.89
% 9.53/9.89
% 9.53/9.89 Starting Search:
% 9.53/9.89
% 9.53/9.89 Resimplifying inuse:
% 9.53/9.89 Done
% 9.53/9.89
% 9.53/9.89
% 9.53/9.89 Intermediate Status:
% 9.53/9.89 Generated: 3870
% 9.53/9.89 Kept: 2010
% 9.53/9.89 Inuse: 198
% 9.53/9.89 Deleted: 3
% 9.53/9.89 Deletedinuse: 0
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 11516
% 41.92/42.30 Kept: 4221
% 41.92/42.30 Inuse: 273
% 41.92/42.30 Deleted: 16
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 20850
% 41.92/42.30 Kept: 6258
% 41.92/42.30 Inuse: 357
% 41.92/42.30 Deleted: 27
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 29083
% 41.92/42.30 Kept: 8391
% 41.92/42.30 Inuse: 391
% 41.92/42.30 Deleted: 28
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 38043
% 41.92/42.30 Kept: 10466
% 41.92/42.30 Inuse: 440
% 41.92/42.30 Deleted: 29
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 51796
% 41.92/42.30 Kept: 12746
% 41.92/42.30 Inuse: 465
% 41.92/42.30 Deleted: 29
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 61824
% 41.92/42.30 Kept: 14747
% 41.92/42.30 Inuse: 521
% 41.92/42.30 Deleted: 31
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 66661
% 41.92/42.30 Kept: 16804
% 41.92/42.30 Inuse: 533
% 41.92/42.30 Deleted: 31
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 79263
% 41.92/42.30 Kept: 18808
% 41.92/42.30 Inuse: 593
% 41.92/42.30 Deleted: 31
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying clauses:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 92106
% 41.92/42.30 Kept: 20816
% 41.92/42.30 Inuse: 661
% 41.92/42.30 Deleted: 784
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 104630
% 41.92/42.30 Kept: 22846
% 41.92/42.30 Inuse: 719
% 41.92/42.30 Deleted: 784
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 116407
% 41.92/42.30 Kept: 24861
% 41.92/42.30 Inuse: 774
% 41.92/42.30 Deleted: 784
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 130156
% 41.92/42.30 Kept: 27934
% 41.92/42.30 Inuse: 804
% 41.92/42.30 Deleted: 784
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 142368
% 41.92/42.30 Kept: 29982
% 41.92/42.30 Inuse: 839
% 41.92/42.30 Deleted: 784
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 154725
% 41.92/42.30 Kept: 31988
% 41.92/42.30 Inuse: 879
% 41.92/42.30 Deleted: 784
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 165569
% 41.92/42.30 Kept: 34007
% 41.92/42.30 Inuse: 924
% 41.92/42.30 Deleted: 784
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 178651
% 41.92/42.30 Kept: 36273
% 41.92/42.30 Inuse: 979
% 41.92/42.30 Deleted: 784
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 192301
% 41.92/42.30 Kept: 38721
% 41.92/42.30 Inuse: 1004
% 41.92/42.30 Deleted: 784
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying clauses:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 204259
% 41.92/42.30 Kept: 41178
% 41.92/42.30 Inuse: 1024
% 41.92/42.30 Deleted: 1255
% 41.92/42.30 Deletedinuse: 8
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 217852
% 41.92/42.30 Kept: 43228
% 41.92/42.30 Inuse: 1059
% 41.92/42.30 Deleted: 1256
% 41.92/42.30 Deletedinuse: 9
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 229601
% 41.92/42.30 Kept: 45237
% 41.92/42.30 Inuse: 1104
% 41.92/42.30 Deleted: 1256
% 41.92/42.30 Deletedinuse: 9
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 241736
% 41.92/42.30 Kept: 47265
% 41.92/42.30 Inuse: 1144
% 41.92/42.30 Deleted: 1256
% 41.92/42.30 Deletedinuse: 9
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 254420
% 41.92/42.30 Kept: 49451
% 41.92/42.30 Inuse: 1184
% 41.92/42.30 Deleted: 1256
% 41.92/42.30 Deletedinuse: 9
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 271161
% 41.92/42.30 Kept: 51778
% 41.92/42.30 Inuse: 1204
% 41.92/42.30 Deleted: 1256
% 41.92/42.30 Deletedinuse: 9
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 41.92/42.30 Generated: 294222
% 41.92/42.30 Kept: 54591
% 41.92/42.30 Inuse: 1214
% 41.92/42.30 Deleted: 1256
% 41.92/42.30 Deletedinuse: 9
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30 Resimplifying inuse:
% 41.92/42.30 Done
% 41.92/42.30
% 41.92/42.30
% 41.92/42.30 Intermediate Status:
% 95.63/96.01 Generated: 312653
% 95.63/96.01 Kept: 57385
% 95.63/96.01 Inuse: 1234
% 95.63/96.01 Deleted: 1256
% 95.63/96.01 Deletedinuse: 9
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 335476
% 95.63/96.01 Kept: 59892
% 95.63/96.01 Inuse: 1254
% 95.63/96.01 Deleted: 1256
% 95.63/96.01 Deletedinuse: 9
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying clauses:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 371265
% 95.63/96.01 Kept: 63195
% 95.63/96.01 Inuse: 1274
% 95.63/96.01 Deleted: 1972
% 95.63/96.01 Deletedinuse: 11
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 387537
% 95.63/96.01 Kept: 65275
% 95.63/96.01 Inuse: 1324
% 95.63/96.01 Deleted: 1972
% 95.63/96.01 Deletedinuse: 11
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 410115
% 95.63/96.01 Kept: 67319
% 95.63/96.01 Inuse: 1389
% 95.63/96.01 Deleted: 1972
% 95.63/96.01 Deletedinuse: 11
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 437778
% 95.63/96.01 Kept: 70180
% 95.63/96.01 Inuse: 1409
% 95.63/96.01 Deleted: 1972
% 95.63/96.01 Deletedinuse: 11
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 451899
% 95.63/96.01 Kept: 72834
% 95.63/96.01 Inuse: 1429
% 95.63/96.01 Deleted: 1972
% 95.63/96.01 Deletedinuse: 11
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 469575
% 95.63/96.01 Kept: 75159
% 95.63/96.01 Inuse: 1439
% 95.63/96.01 Deleted: 1972
% 95.63/96.01 Deletedinuse: 11
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 491216
% 95.63/96.01 Kept: 78051
% 95.63/96.01 Inuse: 1445
% 95.63/96.01 Deleted: 1972
% 95.63/96.01 Deletedinuse: 11
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 507159
% 95.63/96.01 Kept: 80483
% 95.63/96.01 Inuse: 1454
% 95.63/96.01 Deleted: 1980
% 95.63/96.01 Deletedinuse: 19
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying clauses:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 515811
% 95.63/96.01 Kept: 82546
% 95.63/96.01 Inuse: 1484
% 95.63/96.01 Deleted: 3148
% 95.63/96.01 Deletedinuse: 60
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 524653
% 95.63/96.01 Kept: 84854
% 95.63/96.01 Inuse: 1509
% 95.63/96.01 Deleted: 3192
% 95.63/96.01 Deletedinuse: 104
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 552235
% 95.63/96.01 Kept: 87350
% 95.63/96.01 Inuse: 1519
% 95.63/96.01 Deleted: 3208
% 95.63/96.01 Deletedinuse: 120
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 567796
% 95.63/96.01 Kept: 89862
% 95.63/96.01 Inuse: 1529
% 95.63/96.01 Deleted: 3224
% 95.63/96.01 Deletedinuse: 136
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 578144
% 95.63/96.01 Kept: 92088
% 95.63/96.01 Inuse: 1559
% 95.63/96.01 Deleted: 3252
% 95.63/96.01 Deletedinuse: 164
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 589963
% 95.63/96.01 Kept: 94092
% 95.63/96.01 Inuse: 1585
% 95.63/96.01 Deleted: 3304
% 95.63/96.01 Deletedinuse: 215
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 611043
% 95.63/96.01 Kept: 97208
% 95.63/96.01 Inuse: 1598
% 95.63/96.01 Deleted: 3336
% 95.63/96.01 Deletedinuse: 247
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 645497
% 95.63/96.01 Kept: 100462
% 95.63/96.01 Inuse: 1628
% 95.63/96.01 Deleted: 3368
% 95.63/96.01 Deletedinuse: 279
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying clauses:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 681263
% 95.63/96.01 Kept: 103807
% 95.63/96.01 Inuse: 1648
% 95.63/96.01 Deleted: 8446
% 95.63/96.01 Deletedinuse: 311
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 695563
% 95.63/96.01 Kept: 106624
% 95.63/96.01 Inuse: 1673
% 95.63/96.01 Deleted: 8490
% 95.63/96.01 Deletedinuse: 355
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 711291
% 95.63/96.01 Kept: 108673
% 95.63/96.01 Inuse: 1693
% 95.63/96.01 Deleted: 8514
% 95.63/96.01 Deletedinuse: 379
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 722660
% 95.63/96.01 Kept: 110691
% 95.63/96.01 Inuse: 1737
% 95.63/96.01 Deleted: 8574
% 95.63/96.01 Deletedinuse: 439
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 746574
% 95.63/96.01 Kept: 113956
% 95.63/96.01 Inuse: 1753
% 95.63/96.01 Deleted: 8607
% 95.63/96.01 Deletedinuse: 472
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01 Resimplifying inuse:
% 95.63/96.01 Done
% 95.63/96.01
% 95.63/96.01
% 95.63/96.01 Intermediate Status:
% 95.63/96.01 Generated: 757792
% 95.63/96.01 Kept: 116198
% 95.63/96.01 Inuse: 1768
% 95.63/96.01 Deleted: 8647
% 211.85/212.27 Deletedinuse: 512
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 771974
% 211.85/212.27 Kept: 118872
% 211.85/212.27 Inuse: 1793
% 211.85/212.27 Deleted: 8671
% 211.85/212.27 Deletedinuse: 536
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 783524
% 211.85/212.27 Kept: 121565
% 211.85/212.27 Inuse: 1798
% 211.85/212.27 Deleted: 8691
% 211.85/212.27 Deletedinuse: 556
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying clauses:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 798840
% 211.85/212.27 Kept: 125456
% 211.85/212.27 Inuse: 1813
% 211.85/212.27 Deleted: 13858
% 211.85/212.27 Deletedinuse: 564
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 810463
% 211.85/212.27 Kept: 128443
% 211.85/212.27 Inuse: 1833
% 211.85/212.27 Deleted: 13886
% 211.85/212.27 Deletedinuse: 592
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 820451
% 211.85/212.27 Kept: 130528
% 211.85/212.27 Inuse: 1868
% 211.85/212.27 Deleted: 13946
% 211.85/212.27 Deletedinuse: 652
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 836214
% 211.85/212.27 Kept: 132757
% 211.85/212.27 Inuse: 1878
% 211.85/212.27 Deleted: 13974
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 846419
% 211.85/212.27 Kept: 134802
% 211.85/212.27 Inuse: 1894
% 211.85/212.27 Deleted: 13978
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 852135
% 211.85/212.27 Kept: 136830
% 211.85/212.27 Inuse: 1898
% 211.85/212.27 Deleted: 13994
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 858602
% 211.85/212.27 Kept: 138887
% 211.85/212.27 Inuse: 1902
% 211.85/212.27 Deleted: 14010
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 863733
% 211.85/212.27 Kept: 141068
% 211.85/212.27 Inuse: 1908
% 211.85/212.27 Deleted: 14024
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying clauses:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 874759
% 211.85/212.27 Kept: 143128
% 211.85/212.27 Inuse: 1923
% 211.85/212.27 Deleted: 16347
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 885579
% 211.85/212.27 Kept: 145322
% 211.85/212.27 Inuse: 1933
% 211.85/212.27 Deleted: 16347
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 899686
% 211.85/212.27 Kept: 147328
% 211.85/212.27 Inuse: 1952
% 211.85/212.27 Deleted: 16347
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 910864
% 211.85/212.27 Kept: 149405
% 211.85/212.27 Inuse: 1963
% 211.85/212.27 Deleted: 16347
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 925986
% 211.85/212.27 Kept: 151829
% 211.85/212.27 Inuse: 1983
% 211.85/212.27 Deleted: 16347
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 940960
% 211.85/212.27 Kept: 154171
% 211.85/212.27 Inuse: 2003
% 211.85/212.27 Deleted: 16347
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 955815
% 211.85/212.27 Kept: 156174
% 211.85/212.27 Inuse: 2019
% 211.85/212.27 Deleted: 16347
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 972940
% 211.85/212.27 Kept: 158430
% 211.85/212.27 Inuse: 2038
% 211.85/212.27 Deleted: 16347
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 987377
% 211.85/212.27 Kept: 160452
% 211.85/212.27 Inuse: 2055
% 211.85/212.27 Deleted: 16347
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying clauses:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 999585
% 211.85/212.27 Kept: 162462
% 211.85/212.27 Inuse: 2068
% 211.85/212.27 Deleted: 17051
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 1014536
% 211.85/212.27 Kept: 164668
% 211.85/212.27 Inuse: 2083
% 211.85/212.27 Deleted: 17051
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 1030385
% 211.85/212.27 Kept: 166902
% 211.85/212.27 Inuse: 2098
% 211.85/212.27 Deleted: 17051
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 1052445
% 211.85/212.27 Kept: 170489
% 211.85/212.27 Inuse: 2118
% 211.85/212.27 Deleted: 17051
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27
% 211.85/212.27 Intermediate Status:
% 211.85/212.27 Generated: 1066758
% 211.85/212.27 Kept: 172538
% 211.85/212.27 Inuse: 2138
% 211.85/212.27 Deleted: 17051
% 211.85/212.27 Deletedinuse: 680
% 211.85/212.27
% 211.85/212.27 Resimplifying inuse:
% 211.85/212.27 Done
% 211.85/212.27
% 211.85/212.27 ReCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------