TSTP Solution File: SWV677-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV677-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 16:27:43 EDT 2022
% Result : Timeout 288.55s 289.06s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.17 % Problem : SWV677-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.17 % Command : bliksem %s
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8042.1875MB
% 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % DateTime : Tue Jun 14 14:31:37 EDT 2022
% 0.13/0.39 % CPUTime :
% 1.21/1.65 *** allocated 10000 integers for termspace/termends
% 1.21/1.65 *** allocated 10000 integers for clauses
% 1.21/1.65 *** allocated 10000 integers for justifications
% 1.21/1.65 *** allocated 15000 integers for termspace/termends
% 1.21/1.65 Bliksem 1.12
% 1.21/1.65
% 1.21/1.65
% 1.21/1.65 Automatic Strategy Selection
% 1.21/1.65
% 1.21/1.65 Clauses:
% 1.21/1.65 [
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.21/1.65 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 1.21/1.65 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.21/1.65 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.21/1.65 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.21/1.65 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.21/1.65 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.21/1.65 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.21/1.65 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.21/1.65 , Y, X ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.21/1.65 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.21/1.65 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.21/1.65 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.21/1.65 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.21/1.65 [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 1.21/1.65 , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.21/1.65 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.21/1.65 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.21/1.65 , T, X ), X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.21/1.65 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.21/1.65 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.21/1.65 ), X ), Y ) ],
% 1.21/1.65 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 1.21/1.65 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.21/1.65 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.21/1.65 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.21/1.65 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.21/1.65 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.21/1.65 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.21/1.65 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.21/1.65 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.21/1.65 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.21/1.65 ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.21/1.65 ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 1.21/1.65 Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.21/1.65 ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.21/1.65 ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.21/1.65 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.21/1.65 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.21/1.65 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.21/1.65 , T, X ), X ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), Y,
% 1.21/1.65 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_GCD_Ogcd__class_Ogcd'( Y, 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat'
% 1.21/1.65 ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.21/1.65 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.21/1.65 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.21/1.65 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.21/1.65 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.21/1.65 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ), =( Y, X ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 1.21/1.65 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' )
% 1.21/1.65 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.21/1.65 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 1.21/1.65 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 1.21/1.65 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 1.21/1.65 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 1.21/1.65 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.21/1.65 ), =( Z, Y ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Z, Y
% 1.21/1.65 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z
% 1.21/1.65 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z
% 1.21/1.65 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Z, Y
% 1.21/1.65 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y
% 1.21/1.65 , Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z
% 1.21/1.65 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Z, Y
% 1.21/1.65 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.21/1.65 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) )
% 1.21/1.65 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.21/1.65 , 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, X, 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.21/1.65 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.21/1.65 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.21/1.65 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.21/1.65 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.21/1.65 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.21/1.65 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.21/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 1.21/1.65 ],
% 1.21/1.65 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.21/1.65 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.21/1.65 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 1.21/1.65 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.21/1.65 , X ), X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.21/1.65 , X ), X ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.21/1.65 ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.21/1.65 ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.21/1.65 ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.21/1.65 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.21/1.65 ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.21/1.65 ],
% 1.21/1.65 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.21/1.65 ), 'tc_nat' ), X ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.21/1.65 , X, 'tc_nat' ), X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.21/1.65 ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.21/1.65 ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 1.21/1.65 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 1.21/1.65 Y, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Z, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat'
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 1.21/1.65 Y, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Y, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat'
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 1.21/1.65 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 1.21/1.65 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), Y, 'tc_nat' ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), Y, 'tc_nat' ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), Y, 'tc_nat' ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 1.21/1.65 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 1.21/1.65 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 1.21/1.65 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.21/1.65 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.21/1.65 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.21/1.65 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.21/1.65 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.65 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.21/1.65 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.21/1.65 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.21/1.65 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.21/1.65 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.21/1.65 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.21/1.65 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.21/1.65 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.21/1.65 X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.21/1.65 X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.65 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.65 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.65 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.21/1.65 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.21/1.65 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.21/1.65 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.65 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.21/1.65 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.21/1.65 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 Z, T, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.21/1.65 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.21/1.65 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.21/1.65 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.21/1.65 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.21/1.65 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.21/1.65 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.21/1.65 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.21/1.65 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.21/1.65 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.21/1.65 ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.21/1.65 X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.21/1.65 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.21/1.65 X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.21/1.65 X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.21/1.65 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.21/1.65 , X ), X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.21/1.65 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.21/1.65 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.21/1.65 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.21/1.65 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.21/1.65 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ 'c_lessequals'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), Y,
% 1.21/1.65 'tc_nat' ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), X,
% 1.21/1.65 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.21/1.65 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.21/1.65 X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.21/1.65 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.21/1.65 X ) ) ), =( Z, T ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.21/1.65 X ) ) ), =( Z, T ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.21/1.65 X ) ) ), =( Y, T ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.21/1.65 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.21/1.65 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.21/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.21/1.65 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.21/1.65 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.21/1.65 ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.21/1.65 ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 1.21/1.65 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.21/1.65 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.21/1.65 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.21/1.65 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.21/1.65 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.21/1.65 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.21/1.65 , 'tc_nat' ), X ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.21/1.65 , 'tc_nat' ), X ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.21/1.65 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.21/1.65 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, X, 'tc_nat' ), X ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.21/1.65 X ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 X, T, 'tc_nat' ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.21/1.65 X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.21/1.65 X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.21/1.65 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.21/1.65 'c_lessequals'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.21/1.65 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.21/1.65 'c_lessequals'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.21/1.65 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.21/1.65 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.21/1.65 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.21/1.65 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.21/1.65 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.21/1.65 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.21/1.65 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 1.21/1.65 X ), Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.21/1.65 , T, X ), X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.21/1.65 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.21/1.65 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.21/1.65 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.21/1.65 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.21/1.65 ), Y ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ), =( Y, Z ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ), =( Y, Z ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.21/1.65 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.21/1.65 , U, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.21/1.65 ), Y ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.21/1.65 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.21/1.65 Y, X ), Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.21/1.65 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.21/1.65 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.21/1.65 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.21/1.65 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.21/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.21/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.21/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.21/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.21/1.65 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.21/1.65 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.21/1.65 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.21/1.65 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.21/1.65 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 1.21/1.65 ],
% 1.21/1.65 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.21/1.65 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.21/1.65 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.21/1.65 ],
% 1.21/1.65 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.21/1.65 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.21/1.65 , X, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X,
% 1.21/1.65 'tc_nat' ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 1.21/1.65 ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.21/1.65 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.21/1.65 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.21/1.65 ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 1.21/1.65 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.65 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.21/1.65 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.21/1.65 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ), ~( =( 'v_a',
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.21/1.65 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.21/1.65 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.21/1.65 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.21/1.65 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.21/1.65 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.21/1.65 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.21/1.65 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 1.21/1.65 Z, X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), 'tc_nat' ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.21/1.65 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.21/1.65 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( Y,
% 1.21/1.65 'c_GCD_Ogcd__class_Ogcd'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat'
% 1.21/1.65 ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 1.21/1.65 Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat'
% 1.21/1.65 ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 1.21/1.65 Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.21/1.65 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.21/1.65 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.21/1.65 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.21/1.65 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 , X ) ],
% 1.21/1.65 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 Y, X, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 1.21/1.65 , Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.21/1.65 X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.21/1.65 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.21/1.65 , Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.21/1.65 , Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.21/1.65 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.21/1.65 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.21/1.65 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.21/1.65 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.21/1.65 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 1.21/1.65 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.21/1.65 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.21/1.65 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.21/1.65 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), Y ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), X ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 1.21/1.65 , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 1.21/1.65 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.21/1.65 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.21/1.65 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.21/1.65 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.21/1.65 X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Z, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Z, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.21/1.65 X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.65 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.21/1.65 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.21/1.65 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.21/1.65 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_GCD_Ogcd__class_Ogcd'( Y, 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat'
% 1.21/1.65 ), 'tc_nat' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 1.21/1.65 ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 1.21/1.65 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'( X, Y,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), Z, 'tc_nat' ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X
% 1.21/1.65 , 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' )
% 1.21/1.65 ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 1.21/1.65 , 'tc_nat' ), Z, 'tc_nat' ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y
% 1.21/1.65 , 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' )
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.21/1.65 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.21/1.65 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.21/1.65 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.21/1.65 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.21/1.65 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.21/1.65 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.21/1.65 ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.21/1.65 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.21/1.65 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.21/1.65 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.21/1.65 ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.21/1.65 ), Y, X ) ), =( Z, T ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.21/1.65 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.21/1.65 ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.21/1.65 ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.21/1.65 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.21/1.65 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.21/1.65 , X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.21/1.65 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.21/1.65 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.21/1.65 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 1.21/1.65 Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.21/1.65 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.21/1.65 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.21/1.65 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 1.21/1.65 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.21/1.65 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.21/1.65 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.21/1.65 , U, X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.21/1.65 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 1.21/1.65 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.21/1.65 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.21/1.65 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.21/1.65 , 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_nat' ), X ),
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'( Y, T, X
% 1.21/1.65 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.65 T, Z, 'tc_nat' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 1.21/1.65 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.21/1.65 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.21/1.65 ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.65 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 1.21/1.65 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y,
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 1.21/1.65 ), X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.21/1.65 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 1.21/1.65 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 1.21/1.65 , Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 1.21/1.65 , Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 1.21/1.65 'tc_nat' ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.21/1.65 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ),
% 1.21/1.65 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), X, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ),
% 1.21/1.65 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.21/1.65 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.21/1.65 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 1.21/1.65 , X, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z,
% 1.21/1.65 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.21/1.65 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 1.21/1.65 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 1.21/1.65 ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.65 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 1.21/1.65 , 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.65 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.21/1.65 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.21/1.65 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 1.21/1.65 , Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.21/1.65 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.21/1.65 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.21/1.65 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.21/1.65 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.21/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 1.21/1.65 'tc_nat' ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 Y, T, X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_nat' ) ), =( Y,
% 1.21/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.21/1.65 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.21/1.65 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.21/1.65 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.21/1.65 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.21/1.65 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.21/1.65 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.21/1.65 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.21/1.65 ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.21/1.65 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.21/1.65 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.21/1.65 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.21/1.65 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.21/1.65 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.21/1.65 , Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.21/1.65 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.21/1.65 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.21/1.65 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 Z, T, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.21/1.65 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.21/1.65 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.21/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.21/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.21/1.65 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.21/1.65 ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 1.21/1.65 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.21/1.65 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 1.21/1.65 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.21/1.65 , T, X ) ) ), =( Z, T ) ],
% 1.21/1.65 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.21/1.65 , T, X ) ) ), =( Y, Z ) ],
% 1.21/1.65 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 1.21/1.65 'tc_nat' ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.65 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.21/1.65 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 1.21/1.65 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.65 [ 'class_Ring__and__Field_Ofield'( 't_a' ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'(
% 1.21/1.65 'v_a', 'v_m', 't_a' ), 'c_Power_Opower__class_Opower'( 'v_a', 'v_n',
% 1.21/1.65 't_a' ), 't_a' ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( 't_a' ), 'v_a'
% 1.21/1.65 , 't_a' ), 'c_HOL_Ominus__class_Ominus'( 'v_n', 'v_m', 'tc_nat' ), 't_a'
% 1.21/1.65 ) ) ), 'c_lessequals'( 'v_n', 'v_m', 'tc_nat' ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'(
% 1.21/1.65 'v_a', 'v_m', 't_a' ), 'c_Power_Opower__class_Opower'( 'v_a', 'v_n',
% 1.21/1.65 't_a' ), 't_a' ), 'c_Power_Opower__class_Opower'( 'v_a',
% 1.21/1.65 'c_HOL_Ominus__class_Ominus'( 'v_m', 'v_n', 'tc_nat' ), 't_a' ) ) ), ~(
% 1.21/1.65 'c_lessequals'( 'v_n', 'v_m', 'tc_nat' ) ) ],
% 1.21/1.65 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'(
% 1.21/1.65 'v_a', 'v_m', 't_a' ), 'c_Power_Opower__class_Opower'( 'v_a', 'v_n',
% 1.21/1.65 't_a' ), 't_a' ), 'c_Power_Opower__class_Opower'(
% 1.21/1.65 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( 't_a' ), 'v_a'
% 1.21/1.65 , 't_a' ), 'c_HOL_Ominus__class_Ominus'( 'v_n', 'v_m', 'tc_nat' ), 't_a'
% 1.21/1.65 ) ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 1.21/1.65 'c_Power_Opower__class_Opower'( 'v_a', 'v_m', 't_a' ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( 'v_a', 'v_n', 't_a' ), 't_a' ),
% 1.21/1.65 'c_Power_Opower__class_Opower'( 'v_a', 'c_HOL_Ominus__class_Ominus'(
% 1.21/1.65 'v_m', 'v_n', 'tc_nat' ), 't_a' ) ) ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Odivision__ring'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Omult__zero'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_OrderedGroup_Omonoid__add'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_OrderedGroup_Ogroup__add'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.21/1.65 'class_Ring__and__Field_Oidom'( X ) ],
% 1.21/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_Power_Opower'( X ) ]
% 1.21/1.65 ,
% 1.21/1.65 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.21/1.65 ],
% 1.21/1.65 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.21/1.65 ) ],
% 1.21/1.65 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.21/1.65 [ 'class_Power_Opower'( 'tc_nat' ) ]
% 1.21/1.65 ] .
% 1.21/1.65
% 1.21/1.65
% 1.21/1.65 percentage equality = 0.197007, percentage horn = 0.868966
% 1.21/1.65 This is a problem with some equality
% 1.21/1.65
% 1.21/1.65
% 1.21/1.65
% 1.21/1.65 Options Used:
% 1.21/1.65
% 1.21/1.65 useres = 1
% 1.21/1.65 useparamod = 1
% 1.21/1.65 useeqrefl = 1
% 1.21/1.65 useeqfact = 1
% 1.21/1.65 usefactor = 1
% 1.21/1.65 usesimpsplitting = 0
% 1.21/1.65 usesimpdemod = 5
% 1.21/1.65 usesimpres = 3
% 1.21/1.65
% 1.21/1.65 resimpinuse = 1000
% 1.21/1.65 resimpclauses = 20000
% 1.21/1.65 substype = eqrewr
% 1.21/1.65 backwardsubs = 1
% 1.21/1.65 selectoldest = 5
% 1.21/1.65
% 1.21/1.65 litorderings [0] = split
% 1.21/1.65 litorderings [1] = extend the termordering, first sorting on arguments
% 1.21/1.65
% 1.21/1.65 termordering = kbo
% 1.21/1.65
% 1.21/1.65 litapriori = 0
% 1.21/1.65 termapriori = 1
% 1.21/1.65 litaposteriori = 0
% 1.21/1.65 termaposteriori = 0
% 1.21/1.65 demodaposteriori = 0
% 1.21/1.65 ordereqreflfact = 0
% 1.21/1.65
% 1.21/1.65 litselect = negord
% 1.21/1.65
% 1.21/1.65 maxweight = 15
% 1.21/1.65 maxdepth = 30000
% 1.21/1.65 maxlength = 115
% 1.21/1.65 maxnrvars = 195
% 1.21/1.65 excuselevel = 1
% 1.21/1.65 increasemaxweight = 1
% 1.21/1.65
% 1.21/1.65 maxselected = 10000000
% 1.21/1.65 maxnrclauses = 10000000
% 1.21/1.65
% 1.21/1.65 showgenerated = 0
% 1.21/1.65 showkept = 0
% 1.21/1.65 showselected = 0
% 1.21/1.65 showdeleted = 0
% 1.21/1.65 showresimp = 1
% 1.21/1.65 showstatus = 2000
% 1.21/1.65
% 1.21/1.65 prologoutput = 1
% 1.21/1.65 nrgoals = 5000000
% 1.21/1.65 totalproof = 1
% 1.21/1.65
% 1.21/1.65 Symbols occurring in the translation:
% 1.21/1.65
% 1.21/1.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.21/1.65 . [1, 2] (w:1, o:91, a:1, s:1, b:0),
% 9.97/10.40 ! [4, 1] (w:0, o:43, a:1, s:1, b:0),
% 9.97/10.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.97/10.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Ocomm__monoid__add' [40, 1] (w:1, o:49, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'c_HOL_Oplus__class_Oplus' [43, 3] (w:1, o:121, a:1, s:1, b:0),
% 9.97/10.40 'class_Ring__and__Field_Ocomm__semiring__1' [45, 1] (w:1, o:51, a:1
% 9.97/10.40 , s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Oab__group__add' [49, 1] (w:1, o:52, a:1, s:1, b:
% 9.97/10.40 0),
% 9.97/10.40 'tc_nat' [52, 0] (w:1, o:26, a:1, s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Oab__semigroup__add' [54, 1] (w:1, o:53, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'c_HOL_Ozero__class_Ozero' [56, 1] (w:1, o:54, a:1, s:1, b:0),
% 9.97/10.40 'c_HOL_Oord__class_Oless' [57, 3] (w:1, o:120, a:1, s:1, b:0),
% 9.97/10.40 'class_Ring__and__Field_Ozero__neq__one' [58, 1] (w:1, o:55, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'class_Ring__and__Field_Ono__zero__divisors' [59, 1] (w:1, o:57, a:1
% 9.97/10.40 , s:1, b:0),
% 9.97/10.40 'class_Ring__and__Field_Omult__zero' [60, 1] (w:1, o:56, a:1, s:1, b:
% 9.97/10.40 0),
% 9.97/10.40 'class_Power_Opower' [61, 1] (w:1, o:72, a:1, s:1, b:0),
% 9.97/10.40 'c_Power_Opower__class_Opower' [62, 3] (w:1, o:122, a:1, s:1, b:0),
% 9.97/10.40 'c_Suc' [63, 1] (w:1, o:73, a:1, s:1, b:0),
% 9.97/10.40 'c_Ring__and__Field_Odvd__class_Odvd' [64, 3] (w:1, o:123, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'class_Divides_Osemiring__div' [65, 1] (w:1, o:75, a:1, s:1, b:0),
% 9.97/10.40 'c_Divides_Odiv__class_Omod' [66, 3] (w:1, o:124, a:1, s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [67, 1]
% 9.97/10.40 (w:1, o:58, a:1, s:1, b:0),
% 9.97/10.40 'c_lessequals' [68, 3] (w:1, o:125, a:1, s:1, b:0),
% 9.97/10.40 'c_HOL_Ominus__class_Ominus' [69, 3] (w:1, o:126, a:1, s:1, b:0),
% 9.97/10.40 'class_Ring__and__Field_Oordered__idom' [70, 1] (w:1, o:76, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'class_Ring__and__Field_Oordered__field' [71, 1] (w:1, o:77, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'class_Ring__and__Field_Odivision__by__zero' [72, 1] (w:1, o:78, a:1
% 9.97/10.40 , s:1, b:0),
% 9.97/10.40 'c_HOL_Oone__class_Oone' [73, 1] (w:1, o:79, a:1, s:1, b:0),
% 9.97/10.40 'c_HOL_Oinverse__class_Oinverse' [74, 2] (w:1, o:116, a:1, s:1, b:0)
% 9.97/10.40 ,
% 9.97/10.40 'class_Ring__and__Field_Oordered__semidom' [75, 1] (w:1, o:80, a:1
% 9.97/10.40 , s:1, b:0),
% 9.97/10.40 'c_GCD_Ogcd__class_Ogcd' [76, 3] (w:1, o:119, a:1, s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Opordered__comm__monoid__add' [77, 1] (w:1, o:59
% 9.97/10.40 , a:1, s:1, b:0),
% 9.97/10.40 'class_Orderings_Opreorder' [78, 1] (w:1, o:61, a:1, s:1, b:0),
% 9.97/10.40 'class_Orderings_Oorder' [79, 1] (w:1, o:60, a:1, s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Olordered__ab__group__add' [80, 1] (w:1, o:62, a:
% 9.97/10.40 1, s:1, b:0),
% 9.97/10.40 'class_Ring__and__Field_Odivision__ring' [81, 1] (w:1, o:81, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'class_Ring__and__Field_Osemiring__0' [82, 1] (w:1, o:84, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'class_Nat_Osemiring__char__0' [86, 1] (w:1, o:48, a:1, s:1, b:0),
% 9.97/10.40 'c_Nat_Osemiring__1__class_Oof__nat' [87, 2] (w:1, o:117, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'class_Ring__and__Field_Oidom' [88, 1] (w:1, o:85, a:1, s:1, b:0),
% 9.97/10.40 'class_Int_Onumber__ring' [89, 1] (w:1, o:86, a:1, s:1, b:0),
% 9.97/10.40 'class_Orderings_Olinorder' [90, 1] (w:1, o:63, a:1, s:1, b:0),
% 9.97/10.40 'c_HOL_Oinverse__class_Odivide' [91, 3] (w:1, o:127, a:1, s:1, b:0),
% 9.97/10.40
% 9.97/10.40 'class_SEQ_Obanach' [92, 1] (w:1, o:90, a:1, s:1, b:0),
% 9.97/10.40 'class_RealVector_Oreal__normed__field' [93, 1] (w:1, o:87, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'c_Transcendental_Oexp' [94, 2] (w:1, o:118, a:1, s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Omonoid__add' [95, 1] (w:1, o:64, a:1, s:1, b:0)
% 9.97/10.40 ,
% 9.97/10.40 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [97, 1]
% 9.97/10.40 (w:1, o:65, a:1, s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Opordered__ab__group__add' [98, 1] (w:1, o:66, a:
% 9.97/10.40 1, s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Opordered__ab__semigroup__add' [99, 1] (w:1, o:67
% 9.97/10.40 , a:1, s:1, b:0),
% 9.97/10.40 'class_Ring__and__Field_Ofield' [101, 1] (w:1, o:88, a:1, s:1, b:0),
% 9.97/10.40
% 9.97/10.40 'class_Ring__and__Field_Osemiring__1' [103, 1] (w:1, o:89, a:1, s:1
% 9.97/10.40 , b:0),
% 9.97/10.40 'class_OrderedGroup_Ocancel__ab__semigroup__add' [104, 1] (w:1, o:68
% 9.97/10.40 , a:1, s:1, b:0),
% 9.97/10.40 'class_OrderedGroup_Ocancel__semigroup__add' [105, 1] (w:1, o:69, a:1
% 31.31/31.75 , s:1, b:0),
% 31.31/31.75 'class_Divides_Oring__div' [109, 1] (w:1, o:74, a:1, s:1, b:0),
% 31.31/31.75 'class_Ring__and__Field_Ocomm__ring__1' [114, 1] (w:1, o:50, a:1, s:1
% 31.31/31.75 , b:0),
% 31.31/31.75 'class_OrderedGroup_Ogroup__add' [115, 1] (w:1, o:70, a:1, s:1, b:0)
% 31.31/31.75 ,
% 31.31/31.75 'class_Ring__and__Field_Oring__1__no__zero__divisors' [116, 1] (w:1
% 31.31/31.75 , o:82, a:1, s:1, b:0),
% 31.31/31.75 't_a' [118, 0] (w:1, o:36, a:1, s:1, b:0),
% 31.31/31.75 'v_a' [119, 0] (w:1, o:37, a:1, s:1, b:0),
% 31.31/31.75 'class_Ring__and__Field_Oring__1' [122, 1] (w:1, o:83, a:1, s:1, b:0)
% 31.31/31.75 ,
% 31.31/31.75 'class_OrderedGroup_Omonoid__mult' [123, 1] (w:1, o:71, a:1, s:1, b:0
% 31.31/31.75 ),
% 31.31/31.75 'v_m' [125, 0] (w:1, o:40, a:1, s:1, b:0),
% 31.31/31.75 'v_n' [126, 0] (w:1, o:41, a:1, s:1, b:0).
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Starting Search:
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 6876
% 31.31/31.75 Kept: 2193
% 31.31/31.75 Inuse: 161
% 31.31/31.75 Deleted: 5
% 31.31/31.75 Deletedinuse: 0
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 16867
% 31.31/31.75 Kept: 4196
% 31.31/31.75 Inuse: 279
% 31.31/31.75 Deleted: 8
% 31.31/31.75 Deletedinuse: 0
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 25882
% 31.31/31.75 Kept: 6325
% 31.31/31.75 Inuse: 303
% 31.31/31.75 Deleted: 14
% 31.31/31.75 Deletedinuse: 6
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 38048
% 31.31/31.75 Kept: 8329
% 31.31/31.75 Inuse: 365
% 31.31/31.75 Deleted: 14
% 31.31/31.75 Deletedinuse: 6
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 52761
% 31.31/31.75 Kept: 10358
% 31.31/31.75 Inuse: 388
% 31.31/31.75 Deleted: 14
% 31.31/31.75 Deletedinuse: 6
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 65707
% 31.31/31.75 Kept: 12369
% 31.31/31.75 Inuse: 440
% 31.31/31.75 Deleted: 16
% 31.31/31.75 Deletedinuse: 7
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 81764
% 31.31/31.75 Kept: 14404
% 31.31/31.75 Inuse: 487
% 31.31/31.75 Deleted: 16
% 31.31/31.75 Deletedinuse: 7
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 97653
% 31.31/31.75 Kept: 16422
% 31.31/31.75 Inuse: 522
% 31.31/31.75 Deleted: 17
% 31.31/31.75 Deletedinuse: 8
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 110387
% 31.31/31.75 Kept: 18478
% 31.31/31.75 Inuse: 592
% 31.31/31.75 Deleted: 39
% 31.31/31.75 Deletedinuse: 30
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying clauses:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 125584
% 31.31/31.75 Kept: 21247
% 31.31/31.75 Inuse: 627
% 31.31/31.75 Deleted: 4064
% 31.31/31.75 Deletedinuse: 30
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 138269
% 31.31/31.75 Kept: 23264
% 31.31/31.75 Inuse: 663
% 31.31/31.75 Deleted: 4064
% 31.31/31.75 Deletedinuse: 30
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 155909
% 31.31/31.75 Kept: 25326
% 31.31/31.75 Inuse: 717
% 31.31/31.75 Deleted: 4064
% 31.31/31.75 Deletedinuse: 30
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 170695
% 31.31/31.75 Kept: 27328
% 31.31/31.75 Inuse: 763
% 31.31/31.75 Deleted: 4064
% 31.31/31.75 Deletedinuse: 30
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 192214
% 31.31/31.75 Kept: 29592
% 31.31/31.75 Inuse: 806
% 31.31/31.75 Deleted: 4065
% 31.31/31.75 Deletedinuse: 30
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 227943
% 31.31/31.75 Kept: 31596
% 31.31/31.75 Inuse: 844
% 31.31/31.75 Deleted: 4066
% 31.31/31.75 Deletedinuse: 31
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 248071
% 31.31/31.75 Kept: 33711
% 31.31/31.75 Inuse: 861
% 31.31/31.75 Deleted: 4066
% 31.31/31.75 Deletedinuse: 31
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 265724
% 31.31/31.75 Kept: 35978
% 31.31/31.75 Inuse: 876
% 31.31/31.75 Deleted: 4066
% 31.31/31.75 Deletedinuse: 31
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 287369
% 31.31/31.75 Kept: 38833
% 31.31/31.75 Inuse: 916
% 31.31/31.75 Deleted: 4066
% 31.31/31.75 Deletedinuse: 31
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 325623
% 31.31/31.75 Kept: 41362
% 31.31/31.75 Inuse: 936
% 31.31/31.75 Deleted: 4066
% 31.31/31.75 Deletedinuse: 31
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying clauses:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75 Resimplifying inuse:
% 31.31/31.75 Done
% 31.31/31.75
% 31.31/31.75
% 31.31/31.75 Intermediate Status:
% 31.31/31.75 Generated: 346133
% 90.77/91.24 Kept: 43479
% 90.77/91.24 Inuse: 957
% 90.77/91.24 Deleted: 4466
% 90.77/91.24 Deletedinuse: 31
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 360550
% 90.77/91.24 Kept: 45630
% 90.77/91.24 Inuse: 971
% 90.77/91.24 Deleted: 4466
% 90.77/91.24 Deletedinuse: 31
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 379967
% 90.77/91.24 Kept: 47908
% 90.77/91.24 Inuse: 995
% 90.77/91.24 Deleted: 4468
% 90.77/91.24 Deletedinuse: 32
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 395268
% 90.77/91.24 Kept: 49961
% 90.77/91.24 Inuse: 1025
% 90.77/91.24 Deleted: 4468
% 90.77/91.24 Deletedinuse: 32
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 407010
% 90.77/91.24 Kept: 52394
% 90.77/91.24 Inuse: 1044
% 90.77/91.24 Deleted: 4472
% 90.77/91.24 Deletedinuse: 32
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 425546
% 90.77/91.24 Kept: 54404
% 90.77/91.24 Inuse: 1083
% 90.77/91.24 Deleted: 4476
% 90.77/91.24 Deletedinuse: 36
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 439926
% 90.77/91.24 Kept: 56485
% 90.77/91.24 Inuse: 1116
% 90.77/91.24 Deleted: 4476
% 90.77/91.24 Deletedinuse: 36
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 453790
% 90.77/91.24 Kept: 58635
% 90.77/91.24 Inuse: 1146
% 90.77/91.24 Deleted: 4480
% 90.77/91.24 Deletedinuse: 40
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 468369
% 90.77/91.24 Kept: 61104
% 90.77/91.24 Inuse: 1152
% 90.77/91.24 Deleted: 4480
% 90.77/91.24 Deletedinuse: 40
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying clauses:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 490863
% 90.77/91.24 Kept: 64343
% 90.77/91.24 Inuse: 1184
% 90.77/91.24 Deleted: 5258
% 90.77/91.24 Deletedinuse: 40
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 517894
% 90.77/91.24 Kept: 67200
% 90.77/91.24 Inuse: 1188
% 90.77/91.24 Deleted: 5265
% 90.77/91.24 Deletedinuse: 41
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 529351
% 90.77/91.24 Kept: 69420
% 90.77/91.24 Inuse: 1204
% 90.77/91.24 Deleted: 5267
% 90.77/91.24 Deletedinuse: 41
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 544670
% 90.77/91.24 Kept: 71588
% 90.77/91.24 Inuse: 1211
% 90.77/91.24 Deleted: 5267
% 90.77/91.24 Deletedinuse: 41
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 559253
% 90.77/91.24 Kept: 73600
% 90.77/91.24 Inuse: 1252
% 90.77/91.24 Deleted: 5267
% 90.77/91.24 Deletedinuse: 41
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 572860
% 90.77/91.24 Kept: 75600
% 90.77/91.24 Inuse: 1269
% 90.77/91.24 Deleted: 5267
% 90.77/91.24 Deletedinuse: 41
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 586021
% 90.77/91.24 Kept: 77620
% 90.77/91.24 Inuse: 1273
% 90.77/91.24 Deleted: 5267
% 90.77/91.24 Deletedinuse: 41
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 601884
% 90.77/91.24 Kept: 79636
% 90.77/91.24 Inuse: 1306
% 90.77/91.24 Deleted: 5267
% 90.77/91.24 Deletedinuse: 41
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 630479
% 90.77/91.24 Kept: 82058
% 90.77/91.24 Inuse: 1336
% 90.77/91.24 Deleted: 5267
% 90.77/91.24 Deletedinuse: 41
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying clauses:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 652103
% 90.77/91.24 Kept: 84066
% 90.77/91.24 Inuse: 1372
% 90.77/91.24 Deleted: 5990
% 90.77/91.24 Deletedinuse: 63
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 669220
% 90.77/91.24 Kept: 86473
% 90.77/91.24 Inuse: 1392
% 90.77/91.24 Deleted: 5994
% 90.77/91.24 Deletedinuse: 63
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 685771
% 90.77/91.24 Kept: 89157
% 90.77/91.24 Inuse: 1412
% 90.77/91.24 Deleted: 5994
% 90.77/91.24 Deletedinuse: 63
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 705913
% 90.77/91.24 Kept: 91668
% 90.77/91.24 Inuse: 1422
% 90.77/91.24 Deleted: 5994
% 90.77/91.24 Deletedinuse: 63
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 725165
% 90.77/91.24 Kept: 93776
% 90.77/91.24 Inuse: 1432
% 90.77/91.24 Deleted: 5994
% 90.77/91.24 Deletedinuse: 63
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 743586
% 90.77/91.24 Kept: 95786
% 90.77/91.24 Inuse: 1464
% 90.77/91.24 Deleted: 6000
% 90.77/91.24 Deletedinuse: 63
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24 Resimplifying inuse:
% 90.77/91.24 Done
% 90.77/91.24
% 90.77/91.24
% 90.77/91.24 Intermediate Status:
% 90.77/91.24 Generated: 758554
% 90.77/91.24 Kept: 97819
% 90.77/91.24 Inuse: 1487
% 90.77/91.24 Deleted: 6001
% 288.55/289.06 Deletedinuse: 64
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 774470
% 288.55/289.06 Kept: 100310
% 288.55/289.06 Inuse: 1503
% 288.55/289.06 Deleted: 6001
% 288.55/289.06 Deletedinuse: 64
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 787519
% 288.55/289.06 Kept: 102517
% 288.55/289.06 Inuse: 1511
% 288.55/289.06 Deleted: 6002
% 288.55/289.06 Deletedinuse: 65
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying clauses:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 807421
% 288.55/289.06 Kept: 104534
% 288.55/289.06 Inuse: 1544
% 288.55/289.06 Deleted: 6998
% 288.55/289.06 Deletedinuse: 65
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 821851
% 288.55/289.06 Kept: 106536
% 288.55/289.06 Inuse: 1571
% 288.55/289.06 Deleted: 6998
% 288.55/289.06 Deletedinuse: 65
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 834073
% 288.55/289.06 Kept: 108636
% 288.55/289.06 Inuse: 1596
% 288.55/289.06 Deleted: 6999
% 288.55/289.06 Deletedinuse: 66
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 850047
% 288.55/289.06 Kept: 111300
% 288.55/289.06 Inuse: 1614
% 288.55/289.06 Deleted: 6999
% 288.55/289.06 Deletedinuse: 66
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 874150
% 288.55/289.06 Kept: 113986
% 288.55/289.06 Inuse: 1631
% 288.55/289.06 Deleted: 6999
% 288.55/289.06 Deletedinuse: 66
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 902417
% 288.55/289.06 Kept: 117370
% 288.55/289.06 Inuse: 1656
% 288.55/289.06 Deleted: 7000
% 288.55/289.06 Deletedinuse: 67
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 919669
% 288.55/289.06 Kept: 119390
% 288.55/289.06 Inuse: 1669
% 288.55/289.06 Deleted: 7002
% 288.55/289.06 Deletedinuse: 69
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 939737
% 288.55/289.06 Kept: 121448
% 288.55/289.06 Inuse: 1696
% 288.55/289.06 Deleted: 7002
% 288.55/289.06 Deletedinuse: 69
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying clauses:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 956590
% 288.55/289.06 Kept: 123474
% 288.55/289.06 Inuse: 1716
% 288.55/289.06 Deleted: 8017
% 288.55/289.06 Deletedinuse: 69
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 975151
% 288.55/289.06 Kept: 125526
% 288.55/289.06 Inuse: 1738
% 288.55/289.06 Deleted: 8017
% 288.55/289.06 Deletedinuse: 69
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1002358
% 288.55/289.06 Kept: 127530
% 288.55/289.06 Inuse: 1752
% 288.55/289.06 Deleted: 8017
% 288.55/289.06 Deletedinuse: 69
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1038437
% 288.55/289.06 Kept: 130772
% 288.55/289.06 Inuse: 1761
% 288.55/289.06 Deleted: 8017
% 288.55/289.06 Deletedinuse: 69
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1064433
% 288.55/289.06 Kept: 134253
% 288.55/289.06 Inuse: 1773
% 288.55/289.06 Deleted: 8017
% 288.55/289.06 Deletedinuse: 69
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1083331
% 288.55/289.06 Kept: 136887
% 288.55/289.06 Inuse: 1791
% 288.55/289.06 Deleted: 8017
% 288.55/289.06 Deletedinuse: 69
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1097318
% 288.55/289.06 Kept: 138944
% 288.55/289.06 Inuse: 1816
% 288.55/289.06 Deleted: 8017
% 288.55/289.06 Deletedinuse: 69
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1114526
% 288.55/289.06 Kept: 141051
% 288.55/289.06 Inuse: 1846
% 288.55/289.06 Deleted: 8018
% 288.55/289.06 Deletedinuse: 70
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying clauses:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1141814
% 288.55/289.06 Kept: 144316
% 288.55/289.06 Inuse: 1867
% 288.55/289.06 Deleted: 8490
% 288.55/289.06 Deletedinuse: 70
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1156114
% 288.55/289.06 Kept: 146487
% 288.55/289.06 Inuse: 1901
% 288.55/289.06 Deleted: 8494
% 288.55/289.06 Deletedinuse: 74
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1169333
% 288.55/289.06 Kept: 149081
% 288.55/289.06 Inuse: 1931
% 288.55/289.06 Deleted: 8495
% 288.55/289.06 Deletedinuse: 75
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1190690
% 288.55/289.06 Kept: 151660
% 288.55/289.06 Inuse: 1946
% 288.55/289.06 Deleted: 8495
% 288.55/289.06 Deletedinuse: 75
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1213157
% 288.55/289.06 Kept: 153686
% 288.55/289.06 Inuse: 1973
% 288.55/289.06 Deleted: 8495
% 288.55/289.06 Deletedinuse: 75
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06 Resimplifying inuse:
% 288.55/289.06 Done
% 288.55/289.06
% 288.55/289.06
% 288.55/289.06 Intermediate Status:
% 288.55/289.06 Generated: 1249429
% 288.55/289.06 Kept: 156430
% 288.55/289.06 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------