TSTP Solution File: ALG398-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG398-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:44 EDT 2022
% Result : Timeout 300.05s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG398-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Thu Jun 9 00:24:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.95/1.36 *** allocated 10000 integers for termspace/termends
% 0.95/1.36 *** allocated 10000 integers for clauses
% 0.95/1.36 *** allocated 10000 integers for justifications
% 0.95/1.36 *** allocated 15000 integers for termspace/termends
% 0.95/1.36 *** allocated 22500 integers for termspace/termends
% 0.95/1.36 Bliksem 1.12
% 0.95/1.36
% 0.95/1.36
% 0.95/1.36 Automatic Strategy Selection
% 0.95/1.36
% 0.95/1.36 Clauses:
% 0.95/1.36 [
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.95/1.36 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.95/1.36 , T, X ) ) ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.36 , T, X ) ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 0.95/1.36 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, U, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.95/1.36 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.95/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.95/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.95/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.95/1.36 , U, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.36 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.95/1.36 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.95/1.36 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z
% 0.95/1.36 , 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.95/1.36 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.95/1.36 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.95/1.36 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.95/1.36 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.95/1.36 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.95/1.36 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.95/1.36 , T, X ), X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.95/1.36 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.95/1.36 ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( Y, Z, 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z,
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) ), T
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( T, Y
% 0.95/1.36 , X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.95/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.95/1.36 , X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.36 , X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.95/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.95/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.95/1.36 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.36 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.95/1.36 , X ), T, X ), W, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.36 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.95/1.36 , X ), W, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.95/1.36 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.95/1.36 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.95/1.36 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.95/1.36 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.95/1.36 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.95/1.36 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.95/1.36 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.95/1.36 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.95/1.36 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.95/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.36 , X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.95/1.36 , X ) ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.95/1.36 , X ) ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.95/1.36 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.95/1.36 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.95/1.36 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.95/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.95/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.36 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.95/1.36 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.95/1.36 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.36 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.95/1.36 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.95/1.36 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.36 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.36 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.36 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.95/1.36 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.95/1.36 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.36 ), =( Z, Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 0.95/1.36 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.95/1.36 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.95/1.36 X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.95/1.36 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.95/1.36 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.36 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.36 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.36 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.36 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.36 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.36 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.95/1.36 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.95/1.36 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.95/1.36 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.95/1.36 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.95/1.36 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.95/1.36 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.95/1.36 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.95/1.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.95/1.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 Y, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.95/1.36 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.95/1.36 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.95/1.36 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.95/1.36 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.36 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.36 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.36 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.36 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.36 X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.36 Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.95/1.36 X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.95/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.95/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.95/1.36 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.95/1.36 X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.95/1.36 , T, X ), X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.36 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.95/1.36 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.95/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.95/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.95/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.95/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.95/1.36 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.95/1.36 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.95/1.36 , X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.95/1.36 , X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.95/1.36 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , Z, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , Z, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.95/1.36 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.95/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.95/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.36 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.95/1.36 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.95/1.36 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.95/1.36 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.95/1.36 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.36 , X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.36 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.95/1.36 , T, X ), X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.95/1.36 X ) ) ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.95/1.36 X ) ) ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.95/1.36 X ) ) ), =( Y, T ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.95/1.36 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 0.95/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.95/1.36 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.95/1.36 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.95/1.36 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.95/1.36 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.95/1.36 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.36 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.36 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.95/1.36 , X ), W, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.95/1.36 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.95/1.36 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.95/1.36 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 0.95/1.36 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, T, U, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.95/1.36 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.95/1.36 W, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 Y, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.95/1.36 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.95/1.36 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.95/1.36 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.95/1.36 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.95/1.36 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.95/1.36 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.95/1.36 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( =( 'c_Polynomial_Opoly'( 'v_pa____', 'v_c____',
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.95/1.36 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.95/1.36 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.00/1.36 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.36 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.36 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.36 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.36 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.36 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.36 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.36 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.36 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.36 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.00/1.36 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.00/1.36 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.37 , X ), T, X ), W, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.00/1.37 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.00/1.37 W, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.37 , X ), W, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.37 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.00/1.37 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 1.00/1.37 Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.37 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.37 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.37 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.37 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.37 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.00/1.37 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.00/1.37 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.00/1.37 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.37 Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.37 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.00/1.37 ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.00/1.37 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.37 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.37 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 1.00/1.37 X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.37 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.37 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.37 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.37 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.37 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.37 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.00/1.37 ), Y, X ) ), =( Z, T ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.00/1.37 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.00/1.37 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 1.00/1.37 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 1.00/1.37 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 1.00/1.37 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 1.00/1.37 X ) ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.37 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.37 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.37 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.37 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.37 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.00/1.37 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.37 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.00/1.37 , X ), X ), Y ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.37 Y, X ), X ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.37 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.37 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ), T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.37 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.37 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.37 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.37 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.00/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.00/1.37 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.00/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.37 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.37 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.37 Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.37 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.00/1.37 [ =( 'c_Polynomial_Opoly'( 'v_pa____', 'v_c____', 'tc_Complex_Ocomplex'
% 1.00/1.37 ), 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, T,
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 1.00/1.37 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 1.00/1.37 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 1.00/1.37 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.00/1.37 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.37 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 1.00/1.37 X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 1.00/1.37 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 1.00/1.37 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 1.00/1.37 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.00/1.37 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 1.00/1.37 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.00/1.37 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 1.00/1.37 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.37 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 1.00/1.37 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 1.00/1.37 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( X
% 1.00/1.37 , Y, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 1.00/1.37 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 1.00/1.37 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.37 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.37 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.37 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.37 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.37 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.37 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.37 'c_Divides_Odiv__class_Odiv'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 'c_Divides_Odiv__class_Odiv'( Y
% 1.00/1.37 , T, 'tc_Polynomial_Opoly'( X ) ), X ) ), =( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.37 'c_Polynomial_Opdivmod__rel'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.00/1.37 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), U, X ),
% 1.00/1.37 W, X ), ~( 'c_Polynomial_Opdivmod__rel'( Y, T, U, W, X ) ), =( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.37 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.00/1.37 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.00/1.37 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.37 [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.37 X ), T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.37 T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.37 X ), T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.37 T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.37 X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.37 T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.37 ), X ), Y ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.37 , Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.37 , Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 1.00/1.37 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.00/1.37 [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'v_x', 'tc_Complex_Ocomplex' )
% 1.00/1.37 , 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 1.00/1.37 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.37 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 1.00/1.37 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 1.00/1.37 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 1.00/1.37 ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.00/1.37 ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.00/1.37 ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.00/1.37 ],
% 1.00/1.37 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.00/1.37 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.00/1.37 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.00/1.37 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.00/1.37 ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.00/1.37 ],
% 1.00/1.37 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.00/1.37 ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 1.00/1.37 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.00/1.37 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.00/1.37 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 1.00/1.37 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.00/1.37 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 1.00/1.37 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.00/1.37 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 1.00/1.37 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 1.00/1.37 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 1.00/1.37 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 1.00/1.37 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 1.00/1.37 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.00/1.37 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.37 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 1.00/1.37 X ) ) ]
% 1.00/1.37 ] .
% 1.00/1.37
% 1.00/1.37
% 1.00/1.37 percentage equality = 0.192439, percentage horn = 0.846939
% 1.00/1.37 This is a problem with some equality
% 1.00/1.37
% 1.00/1.37
% 1.00/1.37
% 1.00/1.37 Options Used:
% 1.00/1.37
% 1.00/1.37 useres = 1
% 1.00/1.37 useparamod = 1
% 1.00/1.37 useeqrefl = 1
% 1.00/1.37 useeqfact = 1
% 1.00/1.37 usefactor = 1
% 1.00/1.37 usesimpsplitting = 0
% 1.00/1.37 usesimpdemod = 5
% 1.00/1.37 usesimpres = 3
% 1.00/1.37
% 1.00/1.37 resimpinuse = 1000
% 1.00/1.37 resimpclauses = 20000
% 1.00/1.37 substype = eqrewr
% 1.00/1.37 backwardsubs = 1
% 1.00/1.37 selectoldest = 5
% 1.00/1.37
% 1.00/1.37 litorderings [0] = split
% 1.00/1.37 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.37
% 1.00/1.37 termordering = kbo
% 1.00/1.37
% 1.00/1.37 litapriori = 0
% 1.00/1.37 termapriori = 1
% 1.00/1.37 litaposteriori = 0
% 1.00/1.37 termaposteriori = 0
% 1.00/1.37 demodaposteriori = 0
% 1.00/1.37 ordereqreflfact = 0
% 1.00/1.37
% 1.00/1.37 litselect = negord
% 1.00/1.37
% 1.00/1.37 maxweight = 15
% 1.00/1.37 maxdepth = 30000
% 1.00/1.37 maxlength = 115
% 1.00/1.37 maxnrvars = 195
% 1.00/1.37 excuselevel = 1
% 1.00/1.37 increasemaxweight = 1
% 1.00/1.37
% 1.00/1.37 maxselected = 10000000
% 1.00/1.37 maxnrclauses = 10000000
% 1.00/1.37
% 1.00/1.37 showgenerated = 0
% 1.00/1.37 showkept = 0
% 1.00/1.37 showselected = 0
% 1.00/1.37 showdeleted = 0
% 1.00/1.37 showresimp = 1
% 1.00/1.37 showstatus = 2000
% 1.00/1.37
% 1.00/1.37 prologoutput = 1
% 1.00/1.37 nrgoals = 5000000
% 1.00/1.37 totalproof = 1
% 1.00/1.37
% 1.00/1.37 Symbols occurring in the translation:
% 1.00/1.37
% 1.00/1.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.37 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.00/1.37 ! [4, 1] (w:0, o:52, a:1, s:1, b:0),
% 1.00/1.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Oordered__field' [40, 1] (w:1, o:61, a:1, s:1
% 1.00/1.37 , b:0),
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:67, a:1
% 1.00/1.37 , s:1, b:0),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.00/1.37 'c_lessequals' [44, 3] (w:1, o:156, a:1, s:1, b:0),
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide' [46, 3] (w:1, o:157, a:1, s:1, b:0),
% 1.00/1.37
% 1.00/1.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [47, 1]
% 1.00/1.37 (w:1, o:70, a:1, s:1, b:0),
% 1.00/1.37 'class_OrderedGroup_Ocomm__monoid__add' [48, 1] (w:1, o:71, a:1, s:1
% 1.00/1.37 , b:0),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus' [50, 3] (w:1, o:159, a:1, s:1, b:0),
% 1.00/1.37 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:158, a:1, s:1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Oordered__semidom' [52, 1] (w:1, o:73, a:1
% 1.00/1.37 , s:1, b:0),
% 1.00/1.37 'c_Power_Opower__class_Opower' [54, 3] (w:1, o:160, a:1, s:1, b:0),
% 1.00/1.37 'class_OrderedGroup_Oab__group__add' [55, 1] (w:1, o:74, a:1, s:1, b:
% 1.00/1.37 0),
% 1.00/1.37 'c_HOL_Ominus__class_Ominus' [57, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Ofield' [62, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.00/1.37 'tc_Polynomial_Opoly' [63, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.00/1.37 'c_Divides_Odiv__class_Omod' [64, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.00/1.37 'c_Polynomial_Opdivmod__rel' [67, 5] (w:1, o:171, a:1, s:1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Oordered__idom' [68, 1] (w:1, o:77, a:1, s:1
% 1.00/1.37 , b:0),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus' [69, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.00/1.37 'class_RealVector_Oreal__normed__field' [70, 1] (w:1, o:78, a:1, s:1
% 1.00/1.37 , b:0),
% 1.00/1.37 'class_RealVector_Oreal__normed__algebra' [71, 1] (w:1, o:79, a:1, s:
% 1.00/1.37 1, b:0),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes' [72, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.00/1.37 'c_HOL_Oone__class_Oone' [73, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse' [74, 2] (w:1, o:153, a:1, s:1, b:0)
% 1.00/1.37 ,
% 1.00/1.37 'class_OrderedGroup_Ogroup__add' [75, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.00/1.37
% 1.00/1.37 'class_OrderedGroup_Opordered__comm__monoid__add' [76, 1] (w:1, o:82
% 1.00/1.37 , a:1, s:1, b:0),
% 1.00/1.37 'class_HOL_Ozero' [77, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.00/1.37 'c_Polynomial_Ocoeff' [78, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.00/1.37 'class_Divides_Osemiring__div' [80, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.00/1.37 'c_Divides_Odiv__class_Odiv' [81, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd' [82, 3] (w:1, o:166, a:1, s:1
% 1.00/1.37 , b:0),
% 1.00/1.37 'class_Ring__and__Field_Oidom' [83, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.00/1.37 'c_Polynomial_Opoly' [85, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.00/1.37 'c_Polynomial_OpCons' [86, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs' [87, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Ocomm__semiring__1' [88, 1] (w:1, o:65, a:1
% 1.00/1.37 , s:1, b:0),
% 1.00/1.37 'class_OrderedGroup_Opordered__ab__group__add__abs' [89, 1] (w:1, o:
% 1.00/1.37 87, a:1, s:1, b:0),
% 1.00/1.37 'class_Orderings_Olinorder' [90, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.00/1.37 'class_Orderings_Opreorder' [91, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.00/1.37 'class_OrderedGroup_Oab__semigroup__add' [92, 1] (w:1, o:91, a:1, s:1
% 1.00/1.37 , b:0),
% 1.00/1.37 'c_Polynomial_Omonom' [95, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.00/1.37 'class_Orderings_Oorder' [96, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.00/1.37 'class_OrderedGroup_Opordered__ab__group__add' [97, 1] (w:1, o:92, a:
% 1.00/1.37 1, s:1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Ocomm__ring__1' [99, 1] (w:1, o:62, a:1, s:1
% 1.00/1.37 , b:0),
% 1.00/1.37 'class_Int_Onumber__ring' [100, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Olordered__ring' [101, 1] (w:1, o:94, a:1, s:
% 1.00/1.37 1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Oring' [102, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Opordered__ring' [104, 1] (w:1, o:99, a:1, s:
% 5.46/5.82 1, b:0),
% 5.46/5.82 'class_OrderedGroup_Olordered__ab__group__add__abs' [106, 1] (w:1, o:
% 5.46/5.82 100, a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Oabs__if' [107, 1] (w:1, o:101, a:1, s:1, b:0
% 5.46/5.82 ),
% 5.46/5.82 'class_OrderedGroup_Olordered__ab__group__add' [109, 1] (w:1, o:102
% 5.46/5.82 , a:1, s:1, b:0),
% 5.46/5.82 'class_Lattices_Oboolean__algebra' [110, 1] (w:1, o:103, a:1, s:1, b:
% 5.46/5.82 0),
% 5.46/5.82 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [111, 1]
% 5.46/5.82 (w:1, o:104, a:1, s:1, b:0),
% 5.46/5.82 'class_OrderedGroup_Oordered__ab__group__add' [112, 1] (w:1, o:69, a:
% 5.46/5.82 1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Ozero__neq__one' [113, 1] (w:1, o:105, a:1
% 5.46/5.82 , s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Oring__1__no__zero__divisors' [114, 1] (w:1
% 5.46/5.82 , o:106, a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Ono__zero__divisors' [115, 1] (w:1, o:60, a:1
% 5.46/5.82 , s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Omult__zero' [116, 1] (w:1, o:57, a:1, s:1
% 5.46/5.82 , b:0),
% 5.46/5.82 'class_Power_Opower' [117, 1] (w:1, o:116, a:1, s:1, b:0),
% 5.46/5.82 'class_OrderedGroup_Omonoid__add' [118, 1] (w:1, o:107, a:1, s:1, b:0
% 5.46/5.82 ),
% 5.46/5.82 'class_Ring__and__Field_Oordered__semiring__strict' [119, 1] (w:1, o:
% 5.46/5.82 96, a:1, s:1, b:0),
% 5.46/5.82 'c_Polynomial_Odegree' [124, 2] (w:1, o:155, a:1, s:1, b:0),
% 5.46/5.82 'class_OrderedGroup_Opordered__ab__semigroup__add' [125, 1] (w:1, o:
% 5.46/5.82 108, a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Odvd' [126, 1] (w:1, o:117, a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Ocomm__ring' [127, 1] (w:1, o:63, a:1, s:1
% 5.46/5.82 , b:0),
% 5.46/5.82 'c_Polynomial_Osmult' [130, 3] (w:1, o:170, a:1, s:1, b:0),
% 5.46/5.82 'class_Divides_Oring__div' [131, 1] (w:1, o:84, a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Ocomm__semiring__0' [132, 1] (w:1, o:64, a:1
% 5.46/5.82 , s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Oordered__ring__strict' [133, 1] (w:1, o:72
% 5.46/5.82 , a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Opordered__ring__abs' [134, 1] (w:1, o:118
% 5.46/5.82 , a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Oordered__semiring' [135, 1] (w:1, o:97, a:1
% 5.46/5.82 , s:1, b:0),
% 5.46/5.82 'class_OrderedGroup_Omonoid__mult' [138, 1] (w:1, o:109, a:1, s:1, b:
% 5.46/5.82 0),
% 5.46/5.82 'class_Ring__and__Field_Ocomm__semiring' [139, 1] (w:1, o:66, a:1, s:
% 5.46/5.82 1, b:0),
% 5.46/5.82 'class_OrderedGroup_Ocomm__monoid__mult' [140, 1] (w:1, o:110, a:1
% 5.46/5.82 , s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Osemiring' [141, 1] (w:1, o:121, a:1, s:1, b:
% 5.46/5.82 0),
% 5.46/5.82 'class_OrderedGroup_Ocancel__ab__semigroup__add' [143, 1] (w:1, o:111
% 5.46/5.82 , a:1, s:1, b:0),
% 5.46/5.82 'class_OrderedGroup_Ocancel__semigroup__add' [144, 1] (w:1, o:112, a:
% 5.46/5.82 1, s:1, b:0),
% 5.46/5.82 'class_RealVector_Oreal__field' [146, 1] (w:1, o:122, a:1, s:1, b:0)
% 5.46/5.82 ,
% 5.46/5.82 'class_Ring__and__Field_Oring__1' [147, 1] (w:1, o:119, a:1, s:1, b:0
% 5.46/5.82 ),
% 5.46/5.82 'class_Ring__and__Field_Odivision__ring' [148, 1] (w:1, o:123, a:1
% 5.46/5.82 , s:1, b:0),
% 5.46/5.82 'v_pa____' [149, 0] (w:1, o:42, a:1, s:1, b:0),
% 5.46/5.82 'v_c____' [150, 0] (w:1, o:43, a:1, s:1, b:0),
% 5.46/5.82 'tc_Complex_Ocomplex' [151, 0] (w:1, o:44, a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Opordered__cancel__semiring' [152, 1] (w:1
% 5.46/5.82 , o:124, a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Opordered__semiring' [153, 1] (w:1, o:125, a:
% 5.46/5.82 1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Omult__mono' [154, 1] (w:1, o:58, a:1, s:1
% 5.46/5.82 , b:0),
% 5.46/5.82 'class_Ring__and__Field_Omult__mono1' [155, 1] (w:1, o:59, a:1, s:1
% 5.46/5.82 , b:0),
% 5.46/5.82 'class_Ring__and__Field_Oordered__comm__semiring__strict' [156, 1]
% 5.46/5.82 (w:1, o:98, a:1, s:1, b:0),
% 5.46/5.82 'v_q____' [158, 0] (w:1, o:45, a:1, s:1, b:0),
% 5.46/5.82 't_a' [159, 0] (w:1, o:46, a:1, s:1, b:0),
% 5.46/5.82
% 5.46/5.82 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'
% 5.46/5.82 [160, 1] (w:1, o:126, a:1, s:1, b:0),
% 5.46/5.82 'class_Ring__and__Field_Oring__no__zero__divisors' [161, 1] (w:1, o:
% 5.46/5.82 120, a:1, s:1, b:0),
% 5.46/5.82 'class_OrderedGroup_Oab__semigroup__mult' [166, 1] (w:1, o:113, a:1
% 5.46/5.82 , s:1, b:0),
% 5.46/5.82 'class_OrderedGroup_Oab__semigroup__idem__mult' [167, 1] (w:1, o:114
% 5.46/5.82 , a:1, s:1, b:0),
% 5.46/5.82 'v_x' [168, 0] (w:1, o:49, a:1, s:1, b:0),
% 5.46/5.82 'class_OrderedGroup_Ocancel__comm__monoid__add' [170, 1] (w:1, o:115
% 21.09/21.46 , a:1, s:1, b:0),
% 21.09/21.46 'tc_nat' [171, 0] (w:1, o:51, a:1, s:1, b:0).
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Starting Search:
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 3183
% 21.09/21.46 Kept: 2067
% 21.09/21.46 Inuse: 176
% 21.09/21.46 Deleted: 5
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 8598
% 21.09/21.46 Kept: 4068
% 21.09/21.46 Inuse: 322
% 21.09/21.46 Deleted: 8
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 16181
% 21.09/21.46 Kept: 6261
% 21.09/21.46 Inuse: 475
% 21.09/21.46 Deleted: 11
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 24817
% 21.09/21.46 Kept: 8866
% 21.09/21.46 Inuse: 565
% 21.09/21.46 Deleted: 11
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 35476
% 21.09/21.46 Kept: 11532
% 21.09/21.46 Inuse: 590
% 21.09/21.46 Deleted: 11
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 45112
% 21.09/21.46 Kept: 13540
% 21.09/21.46 Inuse: 665
% 21.09/21.46 Deleted: 11
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 53757
% 21.09/21.46 Kept: 16005
% 21.09/21.46 Inuse: 735
% 21.09/21.46 Deleted: 11
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 60582
% 21.09/21.46 Kept: 19784
% 21.09/21.46 Inuse: 760
% 21.09/21.46 Deleted: 11
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying clauses:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 66705
% 21.09/21.46 Kept: 22090
% 21.09/21.46 Inuse: 770
% 21.09/21.46 Deleted: 185
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 72988
% 21.09/21.46 Kept: 24117
% 21.09/21.46 Inuse: 780
% 21.09/21.46 Deleted: 185
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 82391
% 21.09/21.46 Kept: 26165
% 21.09/21.46 Inuse: 820
% 21.09/21.46 Deleted: 185
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 90196
% 21.09/21.46 Kept: 29166
% 21.09/21.46 Inuse: 840
% 21.09/21.46 Deleted: 185
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 99271
% 21.09/21.46 Kept: 33813
% 21.09/21.46 Inuse: 845
% 21.09/21.46 Deleted: 185
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 108398
% 21.09/21.46 Kept: 35813
% 21.09/21.46 Inuse: 867
% 21.09/21.46 Deleted: 185
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 119621
% 21.09/21.46 Kept: 37892
% 21.09/21.46 Inuse: 915
% 21.09/21.46 Deleted: 185
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 134101
% 21.09/21.46 Kept: 39902
% 21.09/21.46 Inuse: 931
% 21.09/21.46 Deleted: 185
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying clauses:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 143050
% 21.09/21.46 Kept: 42114
% 21.09/21.46 Inuse: 965
% 21.09/21.46 Deleted: 356
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 155863
% 21.09/21.46 Kept: 44243
% 21.09/21.46 Inuse: 985
% 21.09/21.46 Deleted: 356
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 178744
% 21.09/21.46 Kept: 46776
% 21.09/21.46 Inuse: 1020
% 21.09/21.46 Deleted: 356
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 203656
% 21.09/21.46 Kept: 48790
% 21.09/21.46 Inuse: 1035
% 21.09/21.46 Deleted: 356
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 220783
% 21.09/21.46 Kept: 50920
% 21.09/21.46 Inuse: 1060
% 21.09/21.46 Deleted: 356
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 234050
% 21.09/21.46 Kept: 52999
% 21.09/21.46 Inuse: 1105
% 21.09/21.46 Deleted: 356
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 246436
% 21.09/21.46 Kept: 55656
% 21.09/21.46 Inuse: 1120
% 21.09/21.46 Deleted: 356
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46
% 21.09/21.46 Intermediate Status:
% 21.09/21.46 Generated: 273551
% 21.09/21.46 Kept: 58310
% 21.09/21.46 Inuse: 1155
% 21.09/21.46 Deleted: 356
% 21.09/21.46 Deletedinuse: 0
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 21.09/21.46 Done
% 21.09/21.46
% 21.09/21.46 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 284973
% 58.33/58.79 Kept: 60325
% 58.33/58.79 Inuse: 1175
% 58.33/58.79 Deleted: 356
% 58.33/58.79 Deletedinuse: 0
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying clauses:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 301029
% 58.33/58.79 Kept: 62759
% 58.33/58.79 Inuse: 1205
% 58.33/58.79 Deleted: 569
% 58.33/58.79 Deletedinuse: 0
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 314465
% 58.33/58.79 Kept: 64802
% 58.33/58.79 Inuse: 1215
% 58.33/58.79 Deleted: 569
% 58.33/58.79 Deletedinuse: 0
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 339579
% 58.33/58.79 Kept: 68642
% 58.33/58.79 Inuse: 1250
% 58.33/58.79 Deleted: 569
% 58.33/58.79 Deletedinuse: 0
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 350276
% 58.33/58.79 Kept: 70678
% 58.33/58.79 Inuse: 1255
% 58.33/58.79 Deleted: 569
% 58.33/58.79 Deletedinuse: 0
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 375827
% 58.33/58.79 Kept: 74350
% 58.33/58.79 Inuse: 1275
% 58.33/58.79 Deleted: 569
% 58.33/58.79 Deletedinuse: 0
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 385279
% 58.33/58.79 Kept: 77354
% 58.33/58.79 Inuse: 1288
% 58.33/58.79 Deleted: 570
% 58.33/58.79 Deletedinuse: 0
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 404502
% 58.33/58.79 Kept: 79514
% 58.33/58.79 Inuse: 1329
% 58.33/58.79 Deleted: 574
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 422035
% 58.33/58.79 Kept: 81928
% 58.33/58.79 Inuse: 1339
% 58.33/58.79 Deleted: 574
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying clauses:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 439164
% 58.33/58.79 Kept: 84118
% 58.33/58.79 Inuse: 1359
% 58.33/58.79 Deleted: 753
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 460874
% 58.33/58.79 Kept: 88994
% 58.33/58.79 Inuse: 1386
% 58.33/58.79 Deleted: 753
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 476824
% 58.33/58.79 Kept: 91085
% 58.33/58.79 Inuse: 1414
% 58.33/58.79 Deleted: 753
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 500873
% 58.33/58.79 Kept: 93318
% 58.33/58.79 Inuse: 1419
% 58.33/58.79 Deleted: 753
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 514718
% 58.33/58.79 Kept: 95325
% 58.33/58.79 Inuse: 1442
% 58.33/58.79 Deleted: 753
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 528483
% 58.33/58.79 Kept: 97350
% 58.33/58.79 Inuse: 1464
% 58.33/58.79 Deleted: 753
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 542507
% 58.33/58.79 Kept: 99545
% 58.33/58.79 Inuse: 1489
% 58.33/58.79 Deleted: 753
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 558973
% 58.33/58.79 Kept: 101879
% 58.33/58.79 Inuse: 1514
% 58.33/58.79 Deleted: 753
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying clauses:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 578473
% 58.33/58.79 Kept: 104570
% 58.33/58.79 Inuse: 1534
% 58.33/58.79 Deleted: 1035
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 600213
% 58.33/58.79 Kept: 107283
% 58.33/58.79 Inuse: 1544
% 58.33/58.79 Deleted: 1035
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 618807
% 58.33/58.79 Kept: 109574
% 58.33/58.79 Inuse: 1559
% 58.33/58.79 Deleted: 1035
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 673559
% 58.33/58.79 Kept: 113426
% 58.33/58.79 Inuse: 1584
% 58.33/58.79 Deleted: 1035
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 696853
% 58.33/58.79 Kept: 115442
% 58.33/58.79 Inuse: 1618
% 58.33/58.79 Deleted: 1035
% 58.33/58.79 Deletedinuse: 4
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 715087
% 58.33/58.79 Kept: 119286
% 58.33/58.79 Inuse: 1624
% 58.33/58.79 Deleted: 1043
% 58.33/58.79 Deletedinuse: 5
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 726704
% 58.33/58.79 Kept: 121335
% 58.33/58.79 Inuse: 1662
% 58.33/58.79 Deleted: 1043
% 58.33/58.79 Deletedinuse: 5
% 58.33/58.79
% 58.33/58.79 Resimplifying inuse:
% 58.33/58.79 Done
% 58.33/58.79
% 58.33/58.79
% 58.33/58.79 Intermediate Status:
% 58.33/58.79 Generated: 762625
% 58.33/58.79 Kept: 124876
% 58.33/58.79 Inuse: 1687
% 58.33/58.79 Deleted: 1043
% 58.33/58.79 Deletedinuse: 5
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying clauses:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 778549
% 116.88/117.38 Kept: 126886
% 116.88/117.38 Inuse: 1732
% 116.88/117.38 Deleted: 1368
% 116.88/117.38 Deletedinuse: 5
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 816959
% 116.88/117.38 Kept: 130356
% 116.88/117.38 Inuse: 1752
% 116.88/117.38 Deleted: 1368
% 116.88/117.38 Deletedinuse: 5
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 827376
% 116.88/117.38 Kept: 132626
% 116.88/117.38 Inuse: 1777
% 116.88/117.38 Deleted: 1368
% 116.88/117.38 Deletedinuse: 5
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 842752
% 116.88/117.38 Kept: 134633
% 116.88/117.38 Inuse: 1816
% 116.88/117.38 Deleted: 1368
% 116.88/117.38 Deletedinuse: 5
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 872670
% 116.88/117.38 Kept: 137101
% 116.88/117.38 Inuse: 1847
% 116.88/117.38 Deleted: 1384
% 116.88/117.38 Deletedinuse: 6
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 893545
% 116.88/117.38 Kept: 139916
% 116.88/117.38 Inuse: 1854
% 116.88/117.38 Deleted: 1412
% 116.88/117.38 Deletedinuse: 6
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 926860
% 116.88/117.38 Kept: 142734
% 116.88/117.38 Inuse: 1856
% 116.88/117.38 Deleted: 1420
% 116.88/117.38 Deletedinuse: 6
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 955330
% 116.88/117.38 Kept: 144877
% 116.88/117.38 Inuse: 1864
% 116.88/117.38 Deleted: 1427
% 116.88/117.38 Deletedinuse: 6
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying clauses:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 968570
% 116.88/117.38 Kept: 147302
% 116.88/117.38 Inuse: 1890
% 116.88/117.38 Deleted: 2301
% 116.88/117.38 Deletedinuse: 8
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 980195
% 116.88/117.38 Kept: 149424
% 116.88/117.38 Inuse: 1910
% 116.88/117.38 Deleted: 2301
% 116.88/117.38 Deletedinuse: 8
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 999892
% 116.88/117.38 Kept: 151445
% 116.88/117.38 Inuse: 1929
% 116.88/117.38 Deleted: 2302
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1014656
% 116.88/117.38 Kept: 153494
% 116.88/117.38 Inuse: 1940
% 116.88/117.38 Deleted: 2302
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1029669
% 116.88/117.38 Kept: 155497
% 116.88/117.38 Inuse: 1967
% 116.88/117.38 Deleted: 2302
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1038842
% 116.88/117.38 Kept: 158408
% 116.88/117.38 Inuse: 1968
% 116.88/117.38 Deleted: 2302
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1060830
% 116.88/117.38 Kept: 162408
% 116.88/117.38 Inuse: 1990
% 116.88/117.38 Deleted: 2302
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1069069
% 116.88/117.38 Kept: 165523
% 116.88/117.38 Inuse: 1991
% 116.88/117.38 Deleted: 2302
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying clauses:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1078996
% 116.88/117.38 Kept: 167663
% 116.88/117.38 Inuse: 2010
% 116.88/117.38 Deleted: 3486
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1092321
% 116.88/117.38 Kept: 169926
% 116.88/117.38 Inuse: 2040
% 116.88/117.38 Deleted: 3486
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1114851
% 116.88/117.38 Kept: 172958
% 116.88/117.38 Inuse: 2065
% 116.88/117.38 Deleted: 3486
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1127872
% 116.88/117.38 Kept: 175593
% 116.88/117.38 Inuse: 2070
% 116.88/117.38 Deleted: 3486
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1144885
% 116.88/117.38 Kept: 177723
% 116.88/117.38 Inuse: 2100
% 116.88/117.38 Deleted: 3486
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1164612
% 116.88/117.38 Kept: 180469
% 116.88/117.38 Inuse: 2120
% 116.88/117.38 Deleted: 3486
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1177631
% 116.88/117.38 Kept: 182850
% 116.88/117.38 Inuse: 2125
% 116.88/117.38 Deleted: 3486
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1197284
% 116.88/117.38 Kept: 185517
% 116.88/117.38 Inuse: 2145
% 116.88/117.38 Deleted: 3486
% 116.88/117.38 Deletedinuse: 9
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying clauses:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38 Resimplifying inuse:
% 116.88/117.38 Done
% 116.88/117.38
% 116.88/117.38
% 116.88/117.38 Intermediate Status:
% 116.88/117.38 Generated: 1207942
% 116.88/117.38 Kept: 187689
% 189.25/189.74 Inuse: 2165
% 189.25/189.74 Deleted: 3865
% 189.25/189.74 Deletedinuse: 9
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1232478
% 189.25/189.74 Kept: 189728
% 189.25/189.74 Inuse: 2195
% 189.25/189.74 Deleted: 3866
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1250611
% 189.25/189.74 Kept: 191989
% 189.25/189.74 Inuse: 2210
% 189.25/189.74 Deleted: 3866
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1274268
% 189.25/189.74 Kept: 194165
% 189.25/189.74 Inuse: 2255
% 189.25/189.74 Deleted: 3866
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1318185
% 189.25/189.74 Kept: 197703
% 189.25/189.74 Inuse: 2265
% 189.25/189.74 Deleted: 3866
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1405544
% 189.25/189.74 Kept: 201629
% 189.25/189.74 Inuse: 2275
% 189.25/189.74 Deleted: 3866
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1418554
% 189.25/189.74 Kept: 203746
% 189.25/189.74 Inuse: 2290
% 189.25/189.74 Deleted: 3866
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1437246
% 189.25/189.74 Kept: 205756
% 189.25/189.74 Inuse: 2315
% 189.25/189.74 Deleted: 3866
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying clauses:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1452080
% 189.25/189.74 Kept: 207768
% 189.25/189.74 Inuse: 2336
% 189.25/189.74 Deleted: 4297
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1476933
% 189.25/189.74 Kept: 210708
% 189.25/189.74 Inuse: 2350
% 189.25/189.74 Deleted: 4297
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1499327
% 189.25/189.74 Kept: 213366
% 189.25/189.74 Inuse: 2360
% 189.25/189.74 Deleted: 4297
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1518096
% 189.25/189.74 Kept: 215851
% 189.25/189.74 Inuse: 2380
% 189.25/189.74 Deleted: 4297
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1532763
% 189.25/189.74 Kept: 217969
% 189.25/189.74 Inuse: 2400
% 189.25/189.74 Deleted: 4297
% 189.25/189.74 Deletedinuse: 10
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1558597
% 189.25/189.74 Kept: 221298
% 189.25/189.74 Inuse: 2420
% 189.25/189.74 Deleted: 4300
% 189.25/189.74 Deletedinuse: 13
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1625290
% 189.25/189.74 Kept: 226357
% 189.25/189.74 Inuse: 2430
% 189.25/189.74 Deleted: 4300
% 189.25/189.74 Deletedinuse: 13
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying clauses:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1637278
% 189.25/189.74 Kept: 228406
% 189.25/189.74 Inuse: 2445
% 189.25/189.74 Deleted: 4909
% 189.25/189.74 Deletedinuse: 13
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1652295
% 189.25/189.74 Kept: 230864
% 189.25/189.74 Inuse: 2465
% 189.25/189.74 Deleted: 4909
% 189.25/189.74 Deletedinuse: 13
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1682637
% 189.25/189.74 Kept: 234993
% 189.25/189.74 Inuse: 2490
% 189.25/189.74 Deleted: 4909
% 189.25/189.74 Deletedinuse: 13
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1706735
% 189.25/189.74 Kept: 239072
% 189.25/189.74 Inuse: 2491
% 189.25/189.74 Deleted: 4916
% 189.25/189.74 Deletedinuse: 20
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1717777
% 189.25/189.74 Kept: 241093
% 189.25/189.74 Inuse: 2496
% 189.25/189.74 Deleted: 5892
% 189.25/189.74 Deletedinuse: 996
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1729600
% 189.25/189.74 Kept: 243117
% 189.25/189.74 Inuse: 2504
% 189.25/189.74 Deleted: 5892
% 189.25/189.74 Deletedinuse: 996
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1738774
% 189.25/189.74 Kept: 245522
% 189.25/189.74 Inuse: 2520
% 189.25/189.74 Deleted: 5892
% 189.25/189.74 Deletedinuse: 996
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying clauses:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1746990
% 189.25/189.74 Kept: 247868
% 189.25/189.74 Inuse: 2535
% 189.25/189.74 Deleted: 31974
% 189.25/189.74 Deletedinuse: 996
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1754742
% 189.25/189.74 Kept: 250681
% 189.25/189.74 Inuse: 2550
% 189.25/189.74 Deleted: 31974
% 189.25/189.74 Deletedinuse: 996
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74 Resimplifying inuse:
% 189.25/189.74 Done
% 189.25/189.74
% 189.25/189.74
% 189.25/189.74 Intermediate Status:
% 189.25/189.74 Generated: 1763328
% 189.25/189.74 Kept: 252882
% 189.25/189.74 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------