TSTP Solution File: SWV679-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV679-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 16:27:44 EDT 2022
% Result : Timeout 300.04s 300.56s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV679-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 21:58:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.84/1.25 *** allocated 10000 integers for termspace/termends
% 0.84/1.25 *** allocated 10000 integers for clauses
% 0.84/1.25 *** allocated 10000 integers for justifications
% 0.84/1.25 *** allocated 15000 integers for termspace/termends
% 0.84/1.25 Bliksem 1.12
% 0.84/1.25
% 0.84/1.25
% 0.84/1.25 Automatic Strategy Selection
% 0.84/1.25
% 0.84/1.25 Clauses:
% 0.84/1.25 [
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.84/1.25 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.84/1.25 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.84/1.25 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.84/1.25 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.84/1.25 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.84/1.25 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_Suc'( X ), 'tc_nat' ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_Suc'( X ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.84/1.25 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.84/1.25 , Y, X ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), Y, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.84/1.25 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.84/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.84/1.25 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.84/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.84/1.25 [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 0.84/1.25 , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.84/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.84/1.25 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.84/1.25 , T, X ), X ), T, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.84/1.25 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.84/1.25 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.84/1.25 ), X ), Y ) ],
% 0.84/1.25 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 0.84/1.25 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.84/1.25 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.84/1.25 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.84/1.25 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.84/1.25 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.84/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.84/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.84/1.25 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.84/1.25 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.84/1.25 ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.84/1.25 ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.84/1.25 Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.84/1.25 ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.84/1.25 ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.84/1.25 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.84/1.25 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.84/1.25 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.84/1.25 , T, X ), X ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), Y,
% 0.84/1.25 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_GCD_Ogcd__class_Ogcd'( Y, 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat'
% 0.84/1.25 ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.84/1.25 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.84/1.25 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.84/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.84/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.84/1.25 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ), =( Y, X ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 0.84/1.25 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' )
% 0.84/1.25 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.84/1.25 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 0.84/1.25 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 0.84/1.25 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 0.84/1.25 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 0.84/1.25 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.84/1.25 ), =( Z, Y ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Z, Y
% 0.84/1.25 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z
% 0.84/1.25 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z
% 0.84/1.25 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Z, Y
% 0.84/1.25 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y
% 0.84/1.25 , Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z
% 0.84/1.25 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Z, Y
% 0.84/1.25 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.84/1.25 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) )
% 0.84/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.84/1.25 , 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, X, 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.84/1.25 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.84/1.25 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.84/1.25 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.84/1.25 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.84/1.25 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.84/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.25 'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.84/1.25 ],
% 0.84/1.25 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.84/1.25 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.25 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.84/1.25 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.84/1.25 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.84/1.25 , X ), X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.84/1.25 , X ), X ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.84/1.25 ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.84/1.25 ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.84/1.25 ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.84/1.25 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.84/1.25 ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.84/1.25 ],
% 0.84/1.25 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.84/1.25 ), 'tc_nat' ), X ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.84/1.25 , X, 'tc_nat' ), X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.84/1.25 ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.84/1.25 ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.84/1.25 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 0.84/1.25 Y, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Z, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat'
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 0.84/1.25 Y, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Y, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat'
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.84/1.25 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.84/1.25 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), Y, 'tc_nat' ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), X, 'tc_nat' ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), X, 'tc_nat' ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), Y, 'tc_nat' ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), X, 'tc_nat' ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), Y, 'tc_nat' ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.84/1.25 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.84/1.25 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.84/1.25 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.84/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.84/1.25 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.84/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.84/1.25 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.84/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.84/1.25 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.84/1.25 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.84/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.84/1.25 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.84/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.84/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.84/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.84/1.25 X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.84/1.25 X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.84/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.84/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.84/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.84/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.84/1.25 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.84/1.25 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.84/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.25 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.84/1.25 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.84/1.25 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.25 Z, T, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.84/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.84/1.25 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.84/1.25 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.84/1.25 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.84/1.25 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.84/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.84/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.84/1.25 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.84/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.84/1.25 ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.84/1.25 X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.84/1.25 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.25 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.84/1.25 X ), T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.25 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.84/1.25 X ), T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.84/1.25 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.84/1.25 , X ), X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.84/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.84/1.25 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.84/1.25 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.84/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.84/1.25 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ 'c_lessequals'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), Y,
% 0.84/1.25 'tc_nat' ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), X,
% 0.84/1.25 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.84/1.25 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.84/1.25 X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.84/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.84/1.25 X ) ) ), =( Z, T ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.84/1.25 X ) ) ), =( Z, T ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.84/1.25 X ) ) ), =( Y, T ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.84/1.25 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.84/1.25 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 0.84/1.25 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.84/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.84/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.84/1.25 ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.84/1.25 ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.84/1.25 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.25 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.84/1.25 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.84/1.25 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.84/1.25 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.84/1.25 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.84/1.25 'c_Suc'( X ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.84/1.25 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.84/1.25 , 'tc_nat' ), X ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.84/1.25 , 'tc_nat' ), X ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.84/1.25 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.25 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, X, 'tc_nat' ), X ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.84/1.25 X ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 X, T, 'tc_nat' ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.84/1.25 X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.84/1.25 X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.84/1.25 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.84/1.25 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.84/1.25 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.84/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.84/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.84/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.84/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.84/1.25 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.84/1.25 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.84/1.25 X ), Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.84/1.25 , T, X ), X ), T, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.84/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.84/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.84/1.25 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.84/1.25 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.84/1.25 ), Y ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ), =( Y, Z ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ), =( Y, Z ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.84/1.25 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.84/1.25 , U, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.84/1.25 ), Y ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.84/1.25 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.84/1.25 Y, X ), Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.84/1.25 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.84/1.25 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.84/1.25 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.84/1.25 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.84/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.84/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.84/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.84/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.84/1.25 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.84/1.25 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.84/1.25 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.84/1.25 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.84/1.25 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.84/1.25 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'tc_nat' ) ],
% 0.84/1.25 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.84/1.25 'tc_nat' ) ],
% 0.84/1.25 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'tc_nat' ) ],
% 0.84/1.25 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'tc_nat' ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.25 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.84/1.25 ],
% 0.84/1.25 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.84/1.25 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.84/1.25 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.25 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.25 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.84/1.25 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.84/1.25 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.84/1.25 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.84/1.25 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.84/1.25 ],
% 0.84/1.25 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.84/1.25 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.84/1.25 , X, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X,
% 0.84/1.25 'tc_nat' ) ],
% 0.84/1.25 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.84/1.25 ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.25 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.84/1.25 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.84/1.25 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.25 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.84/1.25 ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.84/1.25 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.25 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.84/1.25 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.84/1.25 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.25 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.25 Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.25 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.84/1.25 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.84/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ), ~( =( 'v_a',
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.84/1.25 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.84/1.25 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.25 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.84/1.25 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.84/1.25 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.84/1.25 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.84/1.25 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.84/1.25 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.84/1.25 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.84/1.25 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.84/1.25 Z, X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), 'tc_nat' ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.84/1.25 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.84/1.25 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( Y,
% 0.84/1.25 'c_GCD_Ogcd__class_Ogcd'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat'
% 0.84/1.25 ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 0.84/1.25 Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat'
% 0.84/1.25 ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 0.84/1.25 Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.84/1.25 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.84/1.25 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.84/1.25 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.84/1.25 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ), 'tc_nat' ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 , X ) ],
% 0.84/1.25 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.25 Y, X, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.84/1.25 , Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.84/1.25 X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.84/1.25 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.84/1.25 , Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.84/1.25 , Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.84/1.25 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.84/1.25 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 , X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.84/1.25 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.84/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.84/1.25 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.84/1.25 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.25 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.84/1.25 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.84/1.25 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), Y ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), X ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.84/1.25 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 0.84/1.25 , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.84/1.25 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.25 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.84/1.25 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.84/1.25 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.84/1.25 X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Z, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Z, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.84/1.25 X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.25 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 Y, T, X ) ) ],
% 0.84/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.84/1.25 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.84/1.25 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_GCD_Ogcd__class_Ogcd'( Y, 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat'
% 0.84/1.25 ), 'tc_nat' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.25 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.84/1.25 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.84/1.25 ],
% 0.84/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.84/1.25 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.84/1.25 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'( X, Y,
% 0.84/1.25 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), Z, 'tc_nat' ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X
% 0.84/1.25 , 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' )
% 0.84/1.25 ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.84/1.25 , 'tc_nat' ), Z, 'tc_nat' ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y
% 0.84/1.25 , 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' )
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.84/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~(
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.84/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.84/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.84/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.84/1.25 ,
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.84/1.25 ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.84/1.25 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.25 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.84/1.25 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.84/1.25 ), X ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.25 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.84/1.25 ), Y, X ) ), =( Z, T ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.84/1.25 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.84/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.84/1.25 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.84/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.84/1.25 ) ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.25 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.84/1.25 ) ],
% 0.84/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.84/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.84/1.25 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.26 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.84/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.84/1.26 , X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.84/1.26 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.84/1.26 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.84/1.26 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.84/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.84/1.26 Z, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.26 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.84/1.26 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.84/1.26 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.84/1.26 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.84/1.26 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.84/1.26 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.84/1.26 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.26 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.84/1.26 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.84/1.26 , U, X ), T, X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.84/1.26 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 0.84/1.26 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.84/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.84/1.26 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.84/1.26 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.84/1.26 , 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_nat' ), X ),
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'( Y, T, X
% 0.84/1.26 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ), ~( 'c_lessequals'(
% 0.84/1.26 T, Z, 'tc_nat' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.84/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.84/1.26 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.84/1.26 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.84/1.26 ],
% 0.84/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.26 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.84/1.26 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.84/1.26 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.84/1.26 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.26 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.26 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y,
% 0.84/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 0.84/1.26 ), X, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.84/1.26 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.26 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.84/1.26 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.26 Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.84/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.84/1.26 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.26 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.84/1.26 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 0.84/1.26 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.84/1.26 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.84/1.26 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.26 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 0.84/1.26 , Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.84/1.26 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 0.84/1.26 , Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.84/1.26 'tc_nat' ) ],
% 0.84/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.84/1.26 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.26 'tc_nat' ), Y, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ),
% 0.84/1.26 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.26 'tc_nat' ), X, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ),
% 0.84/1.26 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.84/1.26 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.84/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.84/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.26 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.84/1.26 , X, 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z,
% 0.84/1.26 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.84/1.26 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.84/1.26 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.84/1.26 ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.26 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.84/1.26 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.84/1.26 , 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.26 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 0.84/1.26 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.84/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.84/1.26 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.84/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.84/1.26 , Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.26 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.84/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.84/1.26 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.26 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.84/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.26 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.84/1.26 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.84/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.26 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.84/1.26 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.84/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.26 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.84/1.26 'tc_nat' ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.26 Y, T, X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_nat' ) ), =( Y,
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.26 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.84/1.26 'c_lessequals'( Z, Y, X ) ],
% 0.84/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.84/1.26 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.84/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.84/1.26 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.84/1.26 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.84/1.26 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.84/1.26 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.84/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.84/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.84/1.26 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.84/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.84/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.84/1.26 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.84/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.26 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.84/1.26 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.84/1.26 ) ],
% 0.84/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.84/1.26 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.84/1.26 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.84/1.26 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.84/1.26 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.84/1.26 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.84/1.26 , Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.84/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.84/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.84/1.26 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.84/1.26 Z, T, X ), X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.84/1.26 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.84/1.26 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.84/1.26 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.84/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.84/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.84/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.84/1.26 [ ~( 'c_lessequals'( 'v_n', 'v_m', 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.84/1.26 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.84/1.26 ],
% 0.84/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.26 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.84/1.26 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.26 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.84/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.84/1.26 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.84/1.26 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.84/1.26 , T, X ) ) ), =( Z, T ) ],
% 0.84/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.84/1.26 , T, X ) ) ), =( Y, Z ) ],
% 0.84/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.84/1.26 'tc_nat' ) ],
% 0.84/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.84/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.84/1.26 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.84/1.26 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'c_lessequals'( 'v_n', 'v_m', 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ), ~( =( 'v_a',
% 0.84/1.26 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.84/1.26 [ 'class_Ring__and__Field_Ofield'( 't_a' ) ],
% 0.84/1.26 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'(
% 0.84/1.26 'v_a', 'v_m', 't_a' ), 'c_Power_Opower__class_Opower'( 'v_a', 'v_n',
% 0.84/1.26 't_a' ), 't_a' ), 'c_Power_Opower__class_Opower'(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( 't_a' ), 'v_a'
% 0.84/1.26 , 't_a' ), 'c_HOL_Ominus__class_Ominus'( 'v_n', 'v_m', 'tc_nat' ), 't_a'
% 0.84/1.26 ) ) ), 'c_lessequals'( 'v_n', 'v_m', 'tc_nat' ) ],
% 0.84/1.26 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'(
% 0.84/1.26 'v_a', 'v_m', 't_a' ), 'c_Power_Opower__class_Opower'( 'v_a', 'v_n',
% 0.84/1.26 't_a' ), 't_a' ), 'c_Power_Opower__class_Opower'( 'v_a',
% 0.84/1.26 'c_HOL_Ominus__class_Ominus'( 'v_m', 'v_n', 'tc_nat' ), 't_a' ) ) ), ~(
% 0.84/1.26 'c_lessequals'( 'v_n', 'v_m', 'tc_nat' ) ) ],
% 0.84/1.26 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'(
% 0.84/1.26 'v_a', 'v_m', 't_a' ), 'c_Power_Opower__class_Opower'( 'v_a', 'v_n',
% 0.84/1.26 't_a' ), 't_a' ), 'c_Power_Opower__class_Opower'(
% 0.84/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( 't_a' ), 'v_a'
% 0.84/1.26 , 't_a' ), 'c_HOL_Ominus__class_Ominus'( 'v_n', 'v_m', 'tc_nat' ), 't_a'
% 0.84/1.26 ) ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 0.84/1.26 'c_Power_Opower__class_Opower'( 'v_a', 'v_m', 't_a' ),
% 0.84/1.26 'c_Power_Opower__class_Opower'( 'v_a', 'v_n', 't_a' ), 't_a' ),
% 0.84/1.26 'c_Power_Opower__class_Opower'( 'v_a', 'c_HOL_Ominus__class_Ominus'(
% 0.84/1.26 'v_m', 'v_n', 'tc_nat' ), 't_a' ) ) ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Odivision__ring'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Omult__zero'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_OrderedGroup_Ogroup__add'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.84/1.26 'class_Ring__and__Field_Oidom'( X ) ],
% 0.84/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_Power_Opower'( X ) ]
% 0.84/1.26 ,
% 0.84/1.26 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.84/1.26 ],
% 0.84/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.84/1.26 ) ],
% 0.84/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.84/1.26 [ 'class_Power_Opower'( 'tc_nat' ) ]
% 0.84/1.26 ] .
% 0.84/1.26
% 0.84/1.26
% 0.84/1.26 percentage equality = 0.196507, percentage horn = 0.868966
% 0.84/1.26 This is a problem with some equality
% 0.84/1.26
% 0.84/1.26
% 0.84/1.26
% 0.84/1.26 Options Used:
% 0.84/1.26
% 0.84/1.26 useres = 1
% 0.84/1.26 useparamod = 1
% 0.84/1.26 useeqrefl = 1
% 0.84/1.26 useeqfact = 1
% 0.84/1.26 usefactor = 1
% 0.84/1.26 usesimpsplitting = 0
% 0.84/1.26 usesimpdemod = 5
% 0.84/1.26 usesimpres = 3
% 0.84/1.26
% 0.84/1.26 resimpinuse = 1000
% 0.84/1.26 resimpclauses = 20000
% 0.84/1.26 substype = eqrewr
% 0.84/1.26 backwardsubs = 1
% 0.84/1.26 selectoldest = 5
% 0.84/1.26
% 0.84/1.26 litorderings [0] = split
% 0.84/1.26 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.26
% 0.84/1.26 termordering = kbo
% 0.84/1.26
% 0.84/1.26 litapriori = 0
% 0.84/1.26 termapriori = 1
% 0.84/1.26 litaposteriori = 0
% 0.84/1.26 termaposteriori = 0
% 0.84/1.26 demodaposteriori = 0
% 0.84/1.26 ordereqreflfact = 0
% 0.84/1.26
% 0.84/1.26 litselect = negord
% 0.84/1.26
% 0.84/1.26 maxweight = 15
% 0.84/1.26 maxdepth = 30000
% 0.84/1.26 maxlength = 115
% 0.84/1.26 maxnrvars = 195
% 0.84/1.26 excuselevel = 1
% 0.84/1.26 increasemaxweight = 1
% 0.84/1.26
% 0.84/1.26 maxselected = 10000000
% 0.84/1.26 maxnrclauses = 10000000
% 0.84/1.26
% 0.84/1.26 showgenerated = 0
% 0.84/1.26 showkept = 0
% 0.84/1.26 showselected = 0
% 0.84/1.26 showdeleted = 0
% 0.84/1.26 showresimp = 1
% 7.38/7.75 showstatus = 2000
% 7.38/7.75
% 7.38/7.75 prologoutput = 1
% 7.38/7.75 nrgoals = 5000000
% 7.38/7.75 totalproof = 1
% 7.38/7.75
% 7.38/7.75 Symbols occurring in the translation:
% 7.38/7.75
% 7.38/7.75 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.38/7.75 . [1, 2] (w:1, o:91, a:1, s:1, b:0),
% 7.38/7.75 ! [4, 1] (w:0, o:43, a:1, s:1, b:0),
% 7.38/7.75 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.38/7.75 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.38/7.75 'class_OrderedGroup_Ocomm__monoid__add' [40, 1] (w:1, o:49, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'c_HOL_Oplus__class_Oplus' [43, 3] (w:1, o:121, a:1, s:1, b:0),
% 7.38/7.75 'class_Ring__and__Field_Ocomm__semiring__1' [45, 1] (w:1, o:51, a:1
% 7.38/7.75 , s:1, b:0),
% 7.38/7.75 'class_OrderedGroup_Oab__group__add' [49, 1] (w:1, o:52, a:1, s:1, b:
% 7.38/7.75 0),
% 7.38/7.75 'tc_nat' [52, 0] (w:1, o:26, a:1, s:1, b:0),
% 7.38/7.75 'class_OrderedGroup_Oab__semigroup__add' [54, 1] (w:1, o:53, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'c_HOL_Ozero__class_Ozero' [56, 1] (w:1, o:54, a:1, s:1, b:0),
% 7.38/7.75 'c_HOL_Oord__class_Oless' [57, 3] (w:1, o:120, a:1, s:1, b:0),
% 7.38/7.75 'class_Ring__and__Field_Ozero__neq__one' [58, 1] (w:1, o:55, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'class_Ring__and__Field_Ono__zero__divisors' [59, 1] (w:1, o:57, a:1
% 7.38/7.75 , s:1, b:0),
% 7.38/7.75 'class_Ring__and__Field_Omult__zero' [60, 1] (w:1, o:56, a:1, s:1, b:
% 7.38/7.75 0),
% 7.38/7.75 'class_Power_Opower' [61, 1] (w:1, o:72, a:1, s:1, b:0),
% 7.38/7.75 'c_Power_Opower__class_Opower' [62, 3] (w:1, o:122, a:1, s:1, b:0),
% 7.38/7.75 'c_Suc' [63, 1] (w:1, o:73, a:1, s:1, b:0),
% 7.38/7.75 'c_Ring__and__Field_Odvd__class_Odvd' [64, 3] (w:1, o:123, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'class_Divides_Osemiring__div' [65, 1] (w:1, o:75, a:1, s:1, b:0),
% 7.38/7.75 'c_Divides_Odiv__class_Omod' [66, 3] (w:1, o:124, a:1, s:1, b:0),
% 7.38/7.75 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [67, 1]
% 7.38/7.75 (w:1, o:58, a:1, s:1, b:0),
% 7.38/7.75 'c_lessequals' [68, 3] (w:1, o:125, a:1, s:1, b:0),
% 7.38/7.75 'c_HOL_Ominus__class_Ominus' [69, 3] (w:1, o:126, a:1, s:1, b:0),
% 7.38/7.75 'class_Ring__and__Field_Oordered__idom' [70, 1] (w:1, o:76, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'class_Ring__and__Field_Oordered__field' [71, 1] (w:1, o:77, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'class_Ring__and__Field_Odivision__by__zero' [72, 1] (w:1, o:78, a:1
% 7.38/7.75 , s:1, b:0),
% 7.38/7.75 'c_HOL_Oone__class_Oone' [73, 1] (w:1, o:79, a:1, s:1, b:0),
% 7.38/7.75 'c_HOL_Oinverse__class_Oinverse' [74, 2] (w:1, o:116, a:1, s:1, b:0)
% 7.38/7.75 ,
% 7.38/7.75 'class_Ring__and__Field_Oordered__semidom' [75, 1] (w:1, o:80, a:1
% 7.38/7.75 , s:1, b:0),
% 7.38/7.75 'c_GCD_Ogcd__class_Ogcd' [76, 3] (w:1, o:119, a:1, s:1, b:0),
% 7.38/7.75 'class_OrderedGroup_Opordered__comm__monoid__add' [77, 1] (w:1, o:59
% 7.38/7.75 , a:1, s:1, b:0),
% 7.38/7.75 'c_Nat_Osemiring__1__class_Oof__nat' [78, 2] (w:1, o:117, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'class_Orderings_Opreorder' [79, 1] (w:1, o:61, a:1, s:1, b:0),
% 7.38/7.75 'class_Orderings_Oorder' [80, 1] (w:1, o:60, a:1, s:1, b:0),
% 7.38/7.75 'class_OrderedGroup_Olordered__ab__group__add' [81, 1] (w:1, o:62, a:
% 7.38/7.75 1, s:1, b:0),
% 7.38/7.75 'class_Ring__and__Field_Odivision__ring' [82, 1] (w:1, o:81, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'class_Ring__and__Field_Osemiring__0' [83, 1] (w:1, o:84, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'class_Nat_Osemiring__char__0' [87, 1] (w:1, o:48, a:1, s:1, b:0),
% 7.38/7.75 'class_Ring__and__Field_Oidom' [88, 1] (w:1, o:85, a:1, s:1, b:0),
% 7.38/7.75 'class_Int_Onumber__ring' [89, 1] (w:1, o:86, a:1, s:1, b:0),
% 7.38/7.75 'class_Orderings_Olinorder' [90, 1] (w:1, o:63, a:1, s:1, b:0),
% 7.38/7.75 'c_HOL_Oinverse__class_Odivide' [91, 3] (w:1, o:127, a:1, s:1, b:0),
% 7.38/7.75
% 7.38/7.75 'class_SEQ_Obanach' [92, 1] (w:1, o:90, a:1, s:1, b:0),
% 7.38/7.75 'class_RealVector_Oreal__normed__field' [93, 1] (w:1, o:87, a:1, s:1
% 7.38/7.75 , b:0),
% 7.38/7.75 'c_Transcendental_Oexp' [94, 2] (w:1, o:118, a:1, s:1, b:0),
% 7.38/7.75 'class_OrderedGroup_Omonoid__add' [95, 1] (w:1, o:64, a:1, s:1, b:0)
% 7.38/7.75 ,
% 7.38/7.75 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [97, 1]
% 7.38/7.75 (w:1, o:65, a:1, s:1, b:0),
% 7.38/7.75 'class_OrderedGroup_Opordered__ab__group__add' [98, 1] (w:1, o:66, a:
% 7.38/7.75 1, s:1, b:0),
% 7.38/7.75 'class_OrderedGroup_Opordered__ab__semigroup__add' [99, 1] (w:1, o:67
% 7.38/7.75 , a:1, s:1, b:0),
% 7.38/7.75 'class_Ring__and__Field_Ofield' [101, 1] (w:1, o:88, a:1, s:1, b:0),
% 7.38/7.75
% 7.38/7.75 'class_Ring__and__Field_Osemiring__1' [103, 1] (w:1, o:89, a:1, s:1
% 31.05/31.42 , b:0),
% 31.05/31.42 'class_OrderedGroup_Ocancel__ab__semigroup__add' [104, 1] (w:1, o:68
% 31.05/31.42 , a:1, s:1, b:0),
% 31.05/31.42 'class_OrderedGroup_Ocancel__semigroup__add' [105, 1] (w:1, o:69, a:1
% 31.05/31.42 , s:1, b:0),
% 31.05/31.42 'class_Divides_Oring__div' [109, 1] (w:1, o:74, a:1, s:1, b:0),
% 31.05/31.42 'class_Ring__and__Field_Ocomm__ring__1' [114, 1] (w:1, o:50, a:1, s:1
% 31.05/31.42 , b:0),
% 31.05/31.42 'class_OrderedGroup_Ogroup__add' [115, 1] (w:1, o:70, a:1, s:1, b:0)
% 31.05/31.42 ,
% 31.05/31.42 'class_Ring__and__Field_Oring__1__no__zero__divisors' [116, 1] (w:1
% 31.05/31.42 , o:82, a:1, s:1, b:0),
% 31.05/31.42 't_a' [118, 0] (w:1, o:36, a:1, s:1, b:0),
% 31.05/31.42 'v_a' [119, 0] (w:1, o:37, a:1, s:1, b:0),
% 31.05/31.42 'class_Ring__and__Field_Oring__1' [122, 1] (w:1, o:83, a:1, s:1, b:0)
% 31.05/31.42 ,
% 31.05/31.42 'class_OrderedGroup_Omonoid__mult' [123, 1] (w:1, o:71, a:1, s:1, b:0
% 31.05/31.42 ),
% 31.05/31.42 'v_n' [124, 0] (w:1, o:41, a:1, s:1, b:0),
% 31.05/31.42 'v_m' [125, 0] (w:1, o:40, a:1, s:1, b:0).
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Starting Search:
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 6828
% 31.05/31.42 Kept: 2208
% 31.05/31.42 Inuse: 161
% 31.05/31.42 Deleted: 5
% 31.05/31.42 Deletedinuse: 0
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 16324
% 31.05/31.42 Kept: 4212
% 31.05/31.42 Inuse: 276
% 31.05/31.42 Deleted: 8
% 31.05/31.42 Deletedinuse: 0
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 24990
% 31.05/31.42 Kept: 6221
% 31.05/31.42 Inuse: 305
% 31.05/31.42 Deleted: 15
% 31.05/31.42 Deletedinuse: 6
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 36095
% 31.05/31.42 Kept: 8228
% 31.05/31.42 Inuse: 351
% 31.05/31.42 Deleted: 15
% 31.05/31.42 Deletedinuse: 6
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 49158
% 31.05/31.42 Kept: 10456
% 31.05/31.42 Inuse: 382
% 31.05/31.42 Deleted: 15
% 31.05/31.42 Deletedinuse: 6
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 64606
% 31.05/31.42 Kept: 12569
% 31.05/31.42 Inuse: 442
% 31.05/31.42 Deleted: 17
% 31.05/31.42 Deletedinuse: 8
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 79509
% 31.05/31.42 Kept: 14570
% 31.05/31.42 Inuse: 495
% 31.05/31.42 Deleted: 20
% 31.05/31.42 Deletedinuse: 9
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 92025
% 31.05/31.42 Kept: 16601
% 31.05/31.42 Inuse: 525
% 31.05/31.42 Deleted: 52
% 31.05/31.42 Deletedinuse: 41
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 105284
% 31.05/31.42 Kept: 18693
% 31.05/31.42 Inuse: 600
% 31.05/31.42 Deleted: 52
% 31.05/31.42 Deletedinuse: 41
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying clauses:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 119750
% 31.05/31.42 Kept: 21442
% 31.05/31.42 Inuse: 635
% 31.05/31.42 Deleted: 4225
% 31.05/31.42 Deletedinuse: 41
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 131636
% 31.05/31.42 Kept: 23464
% 31.05/31.42 Inuse: 672
% 31.05/31.42 Deleted: 4225
% 31.05/31.42 Deletedinuse: 41
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 149449
% 31.05/31.42 Kept: 25653
% 31.05/31.42 Inuse: 720
% 31.05/31.42 Deleted: 4225
% 31.05/31.42 Deletedinuse: 41
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 162301
% 31.05/31.42 Kept: 27754
% 31.05/31.42 Inuse: 765
% 31.05/31.42 Deleted: 4225
% 31.05/31.42 Deletedinuse: 41
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 176478
% 31.05/31.42 Kept: 29791
% 31.05/31.42 Inuse: 814
% 31.05/31.42 Deleted: 4226
% 31.05/31.42 Deletedinuse: 41
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 214736
% 31.05/31.42 Kept: 31792
% 31.05/31.42 Inuse: 845
% 31.05/31.42 Deleted: 4235
% 31.05/31.42 Deletedinuse: 43
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 233050
% 31.05/31.42 Kept: 34357
% 31.05/31.42 Inuse: 887
% 31.05/31.42 Deleted: 4235
% 31.05/31.42 Deletedinuse: 43
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 247280
% 31.05/31.42 Kept: 36364
% 31.05/31.42 Inuse: 917
% 31.05/31.42 Deleted: 4235
% 31.05/31.42 Deletedinuse: 43
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 267975
% 31.05/31.42 Kept: 39222
% 31.05/31.42 Inuse: 942
% 31.05/31.42 Deleted: 4235
% 31.05/31.42 Deletedinuse: 43
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42 Resimplifying inuse:
% 31.05/31.42 Done
% 31.05/31.42
% 31.05/31.42
% 31.05/31.42 Intermediate Status:
% 31.05/31.42 Generated: 297007
% 31.05/31.42 Kept: 41242
% 31.05/31.42 Inuse: 960
% 82.61/83.02 Deleted: 4237
% 82.61/83.02 Deletedinuse: 45
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying clauses:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 322606
% 82.61/83.02 Kept: 43441
% 82.61/83.02 Inuse: 983
% 82.61/83.02 Deleted: 4747
% 82.61/83.02 Deletedinuse: 45
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 335832
% 82.61/83.02 Kept: 45679
% 82.61/83.02 Inuse: 997
% 82.61/83.02 Deleted: 4747
% 82.61/83.02 Deletedinuse: 45
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 353906
% 82.61/83.02 Kept: 47783
% 82.61/83.02 Inuse: 1022
% 82.61/83.02 Deleted: 4748
% 82.61/83.02 Deletedinuse: 46
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 368765
% 82.61/83.02 Kept: 49808
% 82.61/83.02 Inuse: 1057
% 82.61/83.02 Deleted: 4748
% 82.61/83.02 Deletedinuse: 46
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 389933
% 82.61/83.02 Kept: 53798
% 82.61/83.02 Inuse: 1103
% 82.61/83.02 Deleted: 4766
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 402118
% 82.61/83.02 Kept: 56003
% 82.61/83.02 Inuse: 1135
% 82.61/83.02 Deleted: 4766
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 417670
% 82.61/83.02 Kept: 58183
% 82.61/83.02 Inuse: 1170
% 82.61/83.02 Deleted: 4766
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 440820
% 82.61/83.02 Kept: 61455
% 82.61/83.02 Inuse: 1209
% 82.61/83.02 Deleted: 4767
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying clauses:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 452116
% 82.61/83.02 Kept: 63614
% 82.61/83.02 Inuse: 1212
% 82.61/83.02 Deleted: 5803
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 472358
% 82.61/83.02 Kept: 67545
% 82.61/83.02 Inuse: 1227
% 82.61/83.02 Deleted: 5804
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 488427
% 82.61/83.02 Kept: 69758
% 82.61/83.02 Inuse: 1241
% 82.61/83.02 Deleted: 5804
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 503537
% 82.61/83.02 Kept: 71829
% 82.61/83.02 Inuse: 1286
% 82.61/83.02 Deleted: 5804
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 527466
% 82.61/83.02 Kept: 76002
% 82.61/83.02 Inuse: 1301
% 82.61/83.02 Deleted: 5804
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 542903
% 82.61/83.02 Kept: 78312
% 82.61/83.02 Inuse: 1321
% 82.61/83.02 Deleted: 5804
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 560103
% 82.61/83.02 Kept: 80315
% 82.61/83.02 Inuse: 1352
% 82.61/83.02 Deleted: 5804
% 82.61/83.02 Deletedinuse: 62
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 584738
% 82.61/83.02 Kept: 82331
% 82.61/83.02 Inuse: 1375
% 82.61/83.02 Deleted: 5805
% 82.61/83.02 Deletedinuse: 63
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying clauses:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 603251
% 82.61/83.02 Kept: 84353
% 82.61/83.02 Inuse: 1410
% 82.61/83.02 Deleted: 6475
% 82.61/83.02 Deletedinuse: 63
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 622444
% 82.61/83.02 Kept: 86715
% 82.61/83.02 Inuse: 1431
% 82.61/83.02 Deleted: 6475
% 82.61/83.02 Deletedinuse: 63
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 645521
% 82.61/83.02 Kept: 89636
% 82.61/83.02 Inuse: 1456
% 82.61/83.02 Deleted: 6475
% 82.61/83.02 Deletedinuse: 63
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 665910
% 82.61/83.02 Kept: 92072
% 82.61/83.02 Inuse: 1466
% 82.61/83.02 Deleted: 6475
% 82.61/83.02 Deletedinuse: 63
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 684753
% 82.61/83.02 Kept: 94594
% 82.61/83.02 Inuse: 1476
% 82.61/83.02 Deleted: 6475
% 82.61/83.02 Deletedinuse: 63
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 704124
% 82.61/83.02 Kept: 96683
% 82.61/83.02 Inuse: 1511
% 82.61/83.02 Deleted: 6475
% 82.61/83.02 Deletedinuse: 63
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 Intermediate Status:
% 82.61/83.02 Generated: 719191
% 82.61/83.02 Kept: 98868
% 82.61/83.02 Inuse: 1536
% 82.61/83.02 Deleted: 6476
% 82.61/83.02 Deletedinuse: 64
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02 Resimplifying inuse:
% 82.61/83.02 Done
% 82.61/83.02
% 82.61/83.02
% 82.61/83.02 IntermediateCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------